the measure of XYZ is 296 what is the measure of XZW the tangent chord angle

The Measure Of XYZ Is 296 What Is The Measure Of XZW The Tangent Chord Angle

Answers

Answer 1

Answer:

D. 148°

Step-by-step explanation:

Theorem: The measure of the angle formed by a tangent and a chord is equal to one-half the measure of the intercepted arc.

In your diagram, XZ is the chord, WZ is the tangent, and XYZ is the intercepted arc.

Per the theorem,

mXZW = ½ mXYZ = ½ × 296° = 148°

The measure of the tangent chord angle is 148°.

Answer 2

Answer: D: 148 is correct

Step-by-step explanation: apx :)


Related Questions

Catherine found that as she increase the price of a chocolate bar the numbers of sales per week decreased
Week1 149
Week2 143
Week3 137
Week4 131
Week5 125

A. write a formula for the arithmetic sequence that represents the number of sales per work.

B. Explain how you could use the information to predict the number of sales for the eighth week

Answers

Answer:

A. f(x)=155-6x

B. Plug in x=8 and solve.

Step-by-step explanation:

-we can develop an equation for this by first realizing that each week, the sales decrease by 6. thus, we know the amount of sales decreases by 6 every week so we know the formula is: the initial sales amount-6x (x being whatever week).

-we can find the initial amount by noting i=initial sales amount and using the Info from the first week.

149=i-6(1)

155=I

thus, the formula: f(x)=155-6x

- we can plug in 8=x to predict the sales amount on the eighth week:

155-6(8)

155-48

sales on eighth week=107

Write 0.00021 correct to 1 significant figure

Answers

Answer:

0.0002

Step-by-step explanation:

0.00021 is a 2 significant figure .after the decimal point the zero can be counted as a significant figure or not ,it depends

Answer:

0.0002.

Step-by-step explanation:

The first significant figure is 2 and since 1 is the second significant figure  ( 1 is < 5) the 2  is retained.

I really don’t understand what the questions asking? How do I solve this

Answers

Answer:

$17.85

Step-by-step explanation:

Let the dollar amount per shirt be represented by s.

Let the dollar amount per pants be represented by p.

You have the following system:

3s+2p=104.81

2s+1p=61.33

If I multiply the bottom equation by -2, I can set the system up for elimination since the equations are already and the same form and I will have 2p and -2p in the same column there.  2p+(-2p)=0

Multiplying equation 2 by -2:

3s+2p=104.81

-4s-2p=-122.66

-----------------------Add the equations:

-1s      =-17.85

Multiply both sides by -1:

s=17.85

So one shirt cost $17.85

which is the approximate solution for the system of equations 8x - 10y = -23 and 9x + 10y =-16

Answers

Answer:

The approximate solution is: x = -2.29; y = 0.46

Step-by-step explanation:

8x - 10y = -23

9x + 10y =-16

Since you have -10y in one equation and 10y in the other equation, add the equations to eliminate y and solve for x.

17x = -39

x = -39/17

Now substitute -39/17 for x in the first equation, and solve for y.

8(-39/17) - 10y = -23

-312/17 - 10y = -391/17

-10y = -79/17

y = 79/170

The exact solution is x = -39/17; y = 79/170

The approximate solution is: x = -2.29; y = 0.46

What is the measure of XYZ?
O A. 75°
O B. 56.5°
O C. 38°
O D. 76

Answers

Final answer:

Without additional context or a diagram, it is not possible to determine the measure of angle XYZ from the information provided.

Explanation:

You have asked for the measure of angle XYZ but did not provide a specific diagram or context for angle XYZ. To determine the measure of an angle, one would typically need additional information such as the measures of other angles, the type of geometric figure involved, or an algebraic expression representing the angle.

Based on the information given, which does not directly provide an angle measure for XYZ, it is not possible to accurately determine the measure of angle XYZ. The listed measures (30.1°, 48.7°, 31.1°, 23.6°, 53.1°, etc.) represent other angles or calculations from different problems and cannot be used to infer the measure of angle XYZ without additional context.


If f(x) =1/9 x-2, what is f-1(x)?

Answers

Answer:

f^-1(x) = 9(x+2)

Step-by-step explanation:

To find the inverse function, exchange x and y and then solve for y

y = 1/9 x -2

Exchange x and y

x = 1/9 y-2

Solve for y

Add 2 to each side

x+2 = 1/9 y-2+2

x+2 = 1/9y

Multiply each side by 9

9(x+2) = 9*1/9y

9(x+2) = y

The inverse function

f^-1(x) = 9(x+2)

Answer:

9x+18

Step-by-step explanation:

[tex]f^{-1}[/tex] means they want you to find the inverse function of y=1/9 x-2.

The inverse is just a swapping of x and y.

People tend to remake the y part the subject again because they want to write it as a function.

Let's start:

[tex]y=\frac{1}{9}x-2[/tex]

Swap x and y:

[tex]x=\frac{1}{9}y-2[/tex]

Now it's time to solve for y:

Add 2 on both sides:

[tex]x+2=\frac{1}{9}y[/tex]

Multiply both sides by 9:

[tex]9(x+2)=y[/tex]

Distribute:

[tex]9x+18=y[/tex]

So The inverse function is:

[tex]f^{-1}(x)=9x+18[/tex]

3. A wall is 12 feet high. If its area is 132 sq ft, what is its
perimeter?
A. 44 feet
B. 46 feet
C. 48 feet
D. 88 feet
E. 96 feet​

Answers

B. 46 feet because 132/12=11 and 12+12+11+11=46

what is the solution to the equation square root 5x-7= square root 3x+5

Answers

Answer:

Step-by-step explanation:

Just as a hint. On this editor, you have to use brackets a lot. We cannot be certain what you mean. I'm going to interpret the question one way, but there are others.

√(5x - 7) = √(3x + 5)

Square both sides.

(√(5x - 7) )^2 = (√(3x + 5) )^2

5x - 7 = 3x  + 5            

Add 7 to both sides.

5x - 7 + 7 = 3x + 5 + 7

Combine

5x = 3x + 12

Subtract 3x from both sides.

5x - 3x = 3x -3x + 12

Combine

2x = 12

Divide by 2

2x/2 = 12/2

x = 6

This confirms that x = 6 is indeed a solution. No other solutions are found, and so x = 6 is the unique solution to the problem.

The solution to the equation (square root 5x-7)= (square root 3x+5) requires squaring both sides to eliminate the square roots and then solving the resulting quadratic equation. We begin by squaring each side:

( square root 5x-7)2 = ( square root 3x+5)2

5x - 7 = 3x + 5

We move all terms to one side to obtain a standard quadratic equation form:

5x - 3x = 5 + 7

2x = 12

x = 6

However, because we squared both sides, we must check the solution in the original equation to ensure it does not produce extraneous solutions. Substituting x = 6 into the original equation, we get:

(square root 5(6)-7) = (square root 3(6)+5)

( square root 30-7) = ( square root 18+5)

square root 23 = square root 23

This confirms that x = 6 is indeed a solution. No other solutions are found, and so x = 6 is the unique solution to the problem.

SEE IMAGE! Which of the following expressions is equal to the value of x?

A) 0.9(sin50)
B) (sin50)/0.9
C) 0.9(cos50)
D) (cos50)/0.9

Answers

Answer:

A) 0.9(sin50)

Step-by-step explanation:

Since this is a right triangle, we can use

sin a = opposite side/ hypotenuse

sin 50 = x /.9

Multiply each side by .9

.9 * sin 50 = x/.9 * .9

.9 (sin 50) = x

Which of the following is a geometric sequence? Help pleaseee!

Answers

Answer: Choice B) -3, 3, -3, 3, ....

=====================================

How I got that answer:

A sequence is geometric if you are able to divide any term over its prior one and get the same result each time. Note with something like choice A we have...

term2/term1 = 13/6 = 2.17 (approx) and term3/term2 = 19/13 = 1.46

the results 2.17 and 1.46 are not the same, so we can rule out choice A

---------

Choice B however, we have...

term2/term1 = 3/(-3) = -1

term3/term2 = -3/3 = -1

term4/term3 = 3/(-3) = -1

each time we get -1, so this is the common ratio. We can multiply each term by the common ratio -1 to get the next term, for instance,

term2 = (common ratio)*(term1) = -1*(-3) = 3

term3 = (common ratio)*(term2) = -1*3 = -3

and so on. This proves that sequence B is geometric. Sequences C and D are not geometric for similar reasoning to choice A.

If ((x) = 3x + 10 vand g(x) = 4x - 2, find (f - g)(x).

Answers

[tex](f-g)(x)=3x+10-(4x-2)=3x+10-4x+2=-x+12[/tex]

Write as an algebraic expression and then simplify if possible The value in cents of d dimes

Answers

Answer:

10d cents.

Step-by-step explanation:

This is an everyday mathematics question, in which the value of the currency has to be known. It is a fact that:

1 dime = 10 cents and 1 cent = 1/10 dimes

These relationships can be used to determine the value of the dimes in terms of cents and the value of the cents in terms of dimes respectively. In the question, it is given that there are d dimes. Therefore, using the first formula, it can be inferred that:

d dimes = 10*d cents.

So, the value of d dimes in cents is 10d cents!!!

Graph -6x-9y=54

A
B
C
D

Answers

Answer:

A.

Step-by-step explanation:

The slope would be -2/3 and the y-intercept is -6

For this case we must indicate the graph of the following equation:

[tex]-6x-9y = 54[/tex]

Adding 6x to both sides we have:

[tex]-9y = 54 + 6x[/tex]

Dividing between -9 on both sides:

[tex]y = \frac {54} {-9} + \frac{6x} {-9}\\y = -6 - \frac {2} {3} x[/tex]

For an equation of the form[tex]y = mx + b[/tex], the slope is given by "m" and the point of intersection with the y axis is "b".

In this case we have that[tex]b = -6[/tex] and[tex]m = -\frac {2} {3}[/tex]. The slope is negative. So, the corresponding graph is option A

Answer:

Option A

PLEASE HELP ITS TIMED

which is the graph of a logarithmic function?

Answers

D is the graph of logarithmic function

Answer:

Choice D

Step-by-step explanation:

You are given for graphs.

A. This graph is translated graph of the graph of inverse proportion function

[tex]y=\dfrac{k}{x}.[/tex]

B. This graph is the graph of linear function

[tex]y=kx+b.[/tex]

C. This graph is the graph of quadratic function

[tex]y=(x-a)^2.[/tex]

D. This graph is the graph of logarithmic function

[tex]y=\log_ax.[/tex]

What is the value of x to the nearest tenth?

Answers

Check the picture below.

A line is in point-slope form and and passes through points (-4,-3) and (12,1) and is y-1= 1/4(x-12) what is the standard form of this equation

Answers

Answer:

x - 4y = 8

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

============================================

We have the points (-4, -3) and (12, 1).

Substitute:

[tex]m=d\frac{1-(-3)}{12-(-4)}=\dfrac{4}{16}=\dfrac{1}{4}[/tex]

Put the volume of a slope and the coordinates of the point (12, 1) to the equation of a line:

[tex]y-1=\dfrac{1}{4}(x-12)[/tex]

The standard formula of an equation of a line:

[tex]Ax+By=C[/tex]

Convert:

[tex]y-1=\dfrac{1}{4}(x-12)[/tex]           multiply both sides by 4

[tex]4y-4=x-12[/tex]             add 4 to both sides

[tex]4y=x-8[/tex]             subtract x from both sides

[tex]-x+4y=-8[/tex]         change the signs

[tex]x-4y=8[/tex]

Solve the equation 225x^2+4=0

Answers

The answers are 2i/15 and -2i/15. The work is attached below

Answer:

-2i/15 and 2i/15

Step-by-step explanation:

Difference of Squares:

(15x+2i)(15x-2i)

Answers: -2i/15 and 2i/15

how to solve this ? 4x+2y=6​

Answers

Answer:

[1, 1]

Step-by-step explanation:

When you plug in these coordinates, you will see that 4 + 2 = 6.

I am joyous to assist you anytime.

Find the value of x that will make A||B

Thanks for helping. :)

Answers

Answer:

x = 20

Step-by-step explanation:

The converse of the same side exterior angles theorem states that when two same side exterior angles are supplementary, the two lines they are on are parallel.

So that means that 5x + 9 and 3x + 11 are supplementary.

Therefore, 5x + 9 + 3x + 11 = 180.

Add like terms: 8x + 20 = 180

Subtract: 8x = 160

Divide: x = 20

Answer:

*To be honest, we have a bunch of ways to find x, but I'm only going to use one.

So in order for A║B, we need the outer angle of these two lines but on the opposite sides to be equal, which means:

   5x + 9 = 180 - (3x + 11)

⇔ 5x + 3x = 180 - 9 - 11

⇔ 8x         = 160

⇔ x            = 160/8 = 20

So x is equal to 20.



Please help me i need help this is some of my summer school thank you

Answers

Answer:

This statement is given.Add 2 to both sides of this equation.Add [tex]-4x[/tex] to both sides of this equation.Divide both sides by 2.Apply the symmetric property of equality.

Step-by-step explanation:

The unknown [tex]x[/tex] and the numbers are mixed in the given equation. However, in the desired equation, the left-hand side contains only the unknown while the right-hand side contains only numbers.

Start with the given equation. That's statement 1.

The question chooses to move the number [tex]-2[/tex] from the right-hand side of the equation to the left-hand side in statement 2. This change can be done by adding [tex]2[/tex] (the opposite of [tex]-2[/tex]) to both sides of the equation.  

In statement 3, The question moves the term with the unknown [tex]4x[/tex] from the left-hand side of the equation to the right-hand side. This change can be done by adding [tex]-4x[/tex] (the opposite of [tex]4x[/tex]) to both sides of the equation.

The coefficient of the unknown [tex]x[/tex] in statement 3 is [tex]2[/tex]. In statement 4, the question turns this coefficient into [tex]1[/tex]. This change can be done by dividing both sides by the coefficient of [tex]x[/tex]. Keep in mind that multiplying both sides with the reciprocal of that coefficient, [tex]1/2[/tex], will achieve the same effect.

By the symmetric property of equality, [tex]a = b[/tex] if and only if [tex]b = a[/tex]. In other words, if [tex]3/2 = x[/tex] is true, [tex]x = 3/2[/tex] must also be true. That leads to statement 5.

what is the mean of the data set 16, 32, 41, 54, 32 A.32 B.35 C.38 D.41​

Answers

Answer:

35

Step-by-step explanation:

To calculate the mean(average) of a data set, add all of the numbers together and then divide by the amount of points you have.

Mean = (16+32+41+54+32)/5 because there are 5 numbers you are adding.

To find the mean of a set of data you must add the data together then divide the sum by the number of data in the set.

Step 1: Adding together the data

16 + 32 + 41 + 54 + 32 = 175

Step 2: Count how many number there are in the data set

There are 5 numbers in this data set

Step 3: Divide the sum of the data by the number of data in the set

175 ÷ 5 = 35

The mean of this data set is 35

Hope this helped!

~Just a girl in love with Shawn Mendes

y = 7
x + y = 6

What is the solution of the system shown?

(, 14)
(6, 12)
(10 , 5)

Answers

Answer:

(10 2/3, 5)

Step-by-step explanation:

1/2 x + 1/3y = 7

1/4x + 2/3y = 6

I do not like fractions so I will multiply the first equation by 6 and the second equation by 12 to eliminate the fractions.

6(1/2 x + 1/3y) = 7*6

Distribute

3x+2y = 42

Now the second

12(1/4x + 2/3y) = 6*12

3x+8y = 72

My system of equation is

3x+2y = 42

3x+8y = 72

Subtracting the second from the first

3x+2y = 42

-3x-8y = -72

-------------------

  -6y = -30

Divide by -6

-6y/-6 = -30/-6

y =5

Substituting into 3x+2y = 42

3x+2(5) = 42

3x+10 =42

Subtracting 10 from each side

3x+10-10 =42-10

3x= 32

Dividing by 3

3x/3 = 32/3

x = 32/3 or 10 2/3

Answer:

10 2/3, 5)

Step-by-step explanation:

1/2 x + 1/3y = 7

1/4x + 2/3y = 6

I do not like fractions so I will multiply the first equation by 6 and the second equation by 12 to eliminate the fractions.

6(1/2 x + 1/3y) = 7*6

Distribute

3x+2y = 42

Now the second

12(1/4x + 2/3y) = 6*12

3x+8y = 72

My system of equation is

3x+2y = 42

3x+8y = 72

Subtracting the second from the first

3x+2y = 42

-3x-8y = -72

-------------------

 -6y = -30

Divide by -6

-6y/-6 = -30/-6

y =5

Substituting into 3x+2y = 42

3x+2(5) = 42

3x+10 =42

Subtracting 10 from each side

3x+10-10 =42-10

3x= 32

Dividing by 3

3x/3 = 32/3

x = 32/3 or 10 2/3

Genesis is using her savings account to pay standard bills over 6 months without replenishing the funds.use the table to write a linear function that models her spending
month. savings account balance in $
0 1,500
2 1,200
4 900
6 600

A. f(x)=150x+600
B. f(x) =-150+1500
C. f(x)= 1/150x+600
D. f(x) = -1/150x+1500​

Answers

Answer:

B. f(x) =-150+1500

Step-by-step explanation:

Let x represents the number of months and y represents the savings account balance ( in dollars )

Thus, table would be,

x            0              2              4              6

y        1,500       1,200       900          600,

Let the linear function that represents the above table is,

y = mx + c

By the table,

1500 = m(0) + c ⇒ c = 1500,

Again by the table,

1200 = m(2) + c

1200 = 2m + 1500

-300 = 2m ⇒ m = -150

The function would be,

y = -150x +1500

Since, 900 = -150(4) + 1500

600 = -150(6) + 1500

The whole table satisfy the equation y = -150x +1500,

Hence, the linear function that models the given table is,

y = -150x +1500

Option 'B' is correct.

Answer:

b

Step-by-step explanation:

Using side lengths only could the triangles be similar?

Answers

Answer:

no

Step-by-step explanation:

There is no consistent scale factor.

Answer:

No

Step-by-step explanation:

For triangles to be similar there must be a proportion between their measurements.

That is, for example if from one triangle to another one side doubled, all other sides must also double.

The triangle side on the left sides measure 1.5, 1 and 2.

In the right triangle the sides measure 0.5, 1 and 1.5

There is no proportion factor that serves to convert all the measures of the first triangle to those of the second triangle.

So the triangles are not similar.

Which of the following is an example of dependent events?
O
A. Selecting a radio station and picking a paint color.
O
B. Five people are drawn successively without replacement from a
group of 50 to represent the group.
O
C. Being born with green eyes and brown hair.
O
D. Getting heads from a coin toss and drawing a queen from a
standard deck of cards.

Answers

Answer:

B

Step-by-step explanation:

drawing from a sample space without replacement is a dependent event. subsequent draws depends on the result of previous draws

which line is perpendicular to the given equation: y=2x+17

Answers

Answer:

[tex]\large\boxed{y=-\dfrac{1}{2}x+b,\ \text{wher}\ b\in\mathbb{R}.}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\==========================\\\\\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\==========================\\\\\text{We have the equation of the line:}\ y=2x+17\to m_1=2.\\\\\text{Therefore}\ m_2=-\dfrac{1}{2}.\\\\\text{The equation of a line:}\ y=-\dfrac{1}{2}x+b,\ \text{wher}\ b\in\mathbb{R}.[/tex]

What number must be added to the expression below to complete the square x^2+3x

Answers

Answer:

9/4

Step-by-step explanation:

x^2+3x

Take the coefficient of the x term, 3

Then divide by 2,  3/2

Then square it  (3/2) ^ = 9/4

This is what you need to add to complete the square

A line passes through the points (–3, 7) and (6, 4). Which shows the graph of this line?

Answers

Step-by-step explanation:

Any line passing through (-3,7) and (6,4) is,

y-y1=(y2-y1) (x-x1)

(x2-x1)

y-7 = (4-7) (x+3)

(6+3)

y-7 = (-3/9)(x+3)

y-7= (-1/3)(x+3)

3y-21=-x-3

x+3y-21+3=0

x+3y-18=0

Which h is the required line.

Answer:

A

Step-by-step explanation:

1. Which kind of triangle is shown?
A.right
B.equilateral
C.isosceles
D.scalene
ANSWER ASAP

Answers

Answer:

I believe it's a scalene triangle

D. Scalene

Hope this helps

Step-by-step explanation:

Scale = No equal sides and No equal angles

The answer is D since all of the angles and sides are unequal to each other.

Write the equation of the piecewise function ƒ that is represented by its graph.



Answers

Final answer:

A piecewise function is a function that is defined by several different formulas depending on the input (x). In this case, the function f(x) is a horizontal line for 0 ≤ x ≤ 20. The equation for this function would be y = constant, for 0 ≤ x ≤ 20, where the constant value is defined by the height of the horizontal line on the graph.

Explanation:

To write the equation of the piecewise function that is represented by a graph, you need to identify the different segments of the function and write a mathematical expression that describes each segment. In your case, the function f(x) is a horizontal line and is only defined between x = 0 and x = 20 (both inclusive). So, if we let y = f(x) be the horizontal line, then for the domain 0 ≤ x ≤ 20, the piecewise function can be written as:

y = constant, for 0 ≤ x ≤ 20.

Note that the 'constant' value of y is defined by the height of the horizontal line on the graph. This specification assumes that there are no other pieces to the function outside the range of x = 0 to x = 20.

Learn more about Piecewise Function here:

https://brainly.com/question/28225662

#SPJ12

Other Questions
HELP!Select the correct answer.Two equal spheres with the maximum possible radius are carved out of a right cylinder.Find the ratio of the volume of one sphere to the volume of the right cylinder.A. 1 : 1B. 1 : 3C. 2 : 3D. 3 : 1 What is the effect on the equilibrium price and equilibrium quantity of magazinesmagazines if the price of a newspapera newspaper decreasesdecreases and the wage rate paid to magazine production workersmagazine production workers decreasesdecreases? The equilibrium price of a magazinea magazine ______ and the equilibrium quantity ______. Which equation is used to help form the combined gas law? Genesis Scents has two divisions: the Cologne Division and the Bottle Division. The Bottle Division produces containers that can be used by the Cologne Division. The Bottle Division's variable manufacturing cost is $3.10, shipping cost is $0.21, and the external sales price is $4.10. No shipping costs are incurred on sales to the Cologne Division, and the Cologne Division can purchase similar containers in the external market for $3.70. The Bottle Division has sufficient capacity to meet all external market demands in addition to meeting the demands of the Cologne Division. Using the general rule, the transfer price from the Bottle Division to the Cologne Division would be: Which of the following best describes the use of a renewable resource? Most power plants burn fossil fuels to generate electricity for use in homes and offices. Natural gas is extracted from deep in the Earth and piped to customers to use for cooking. Water falls through openings in a dam turning turbine blades that generate electricity. We use gasoline to power our cars to get to work and school each day. Determine if a triangle with side lengths 8, 14, and 15 is acute, right, or obtuse correct the five highlighted areas by fixing the punctuation and words If f(x) = -2x - 5 and g(x) = x^4 what is (gf)(-4) El rea de Mxico es casi dos veces el rea de Texas.ciertofalso Escoge las palabras que son argentismos-Re-bonito-Mate-Ceviche-Azteca-Pibe-Tortilla-Piba -Lompa-Salsa-Como andas-Tango -Merengue-Milanesa -Guacho-Comadre-Choripan A 1.0-kg ball has a velocity of 12 m/s downward just before it strikes the ground and bounces up with a velocity of 12 m/s upward. What is the change in momentum of the ball? which decimal is equivalent to forty and seventy six thousands ? a.40.076 b 40.76 C 47.006 D 47.06 Calculate the final temperature of the system: A 50.0 gram sample of water initially at 100 C and a 100 gram sample initially at 27.32 C are mixed. The specific heat of water is 4.184 J/gC). Record your answer in scientific notation using 3 significant figures. Pablo Naruda uses laughter as a symbol for hope and strength in "Your Laughter." Using evidence from the poem,explain how the poet uses language to develop these symbols. What conclusion can you draw about the revolutionfrom the photo and the background information?a) Most of the protesters were soldiers.b) Most of the protesters were soldiers' families.c) Most of the protesters were men.d) Most of the protesters supported the government. Nick found his dream home that has a purchase price of $192,000. Nick earns $3,325 a month and wants to spend no more than 30% of his income on his mortgage payment. He has saved up $35,000 for a down payment. Nick is considering the following loan option: 20% down, 30 year at a fixed rate of 6.25%. What modification can be made to this loan to make it a viable option, given Nicks situation? (A) Change to a 15 year fixed loan(B) Change the interest to 6%(C) Change the down payment to 18% down(D) None. This is a viable option for Nick. QUICK I WILL MARK AS BRAINLIEST!!! PLUS 100 POINTS!!!According to the cladogram shown, which two animal species shared the most recent common ancestor? A. Primates and crocodiles B. Birds and rodents C. Sharks and birds D. Birds and crocodiles A0.350 kg iron horseshoe that is initially at 600C is dropped into a bucket containing 21.9 kg of water at 21.8C. What is the final equilibrium temperature (in C)? Neglect any heat transfer to or from the surroundings. Do not enter units. Im really really dumb lol this is hard to meh (21-25)It a lot to do so.... Please help me with this