Find the measure of the missing angle of a triangle, if two of its angles are 75 degree and 65 degree respectively. please show work

Answers

Answer 1

The sum of the angles in a triangle is 180°. That is ...
75° +65° +(missing angle) = 180°
(missing angle) = 180° -75° -65°
(missing angle) = 40°

Related Questions

0.5 log3 x=2 x = what

Answers

[tex]0.5\log_3x=2[/tex]

[tex]Domain:x\in\mathbb{R^+}[/tex]

[tex]0.5\log_3x=2\ \ \ |\cdot2\\\\\log_3x=4[/tex]

[tex]Use\ the\ de finition\ of\ the\ logarithm:\\\\\log_ab=c\iff a^c=b[/tex]

[tex]Therefore\ we\ have:\\\\\log_3x=4\iff3^4=x\to x=81[/tex]

Answer: C. 81.

Here is another method:
[tex]0.5 log_3 (x) = 2[/tex]

Multiply both sides by 10 to get rid of the decimal:
[tex]10 * 0.5 log_3 (x) = 10 * 2[/tex]
[tex]5 log_3 (x) = 20[/tex]

Divide 5 out
[tex]\frac{5 log_3 x}{5} = \frac{20}{5}[/tex]
[tex]log_3 x = 4[/tex]

Now use the log rule [tex]a = log_b b^a[/tex]
[tex]4 = log_3 (3^4) = log_3 (81)[/tex]

Since we have the same base
[tex]log_3 (x) = log_3 (81)[/tex]
x = 81

If the triangle on the grid below is translated by using the (x,y) -> (x+5, y-2) rule, what will be the coordinates of B'?
(–2, 0)
(0, –2)
(5, –7)
(5, –2)

Answers

we know that
the coordinates of point B ( -5,0)

the translation has the following rule
(x,y)--------> (x+5, y-2)
so
(-5,0)-----> (-5+5,0-2)-----> (0,-2)

the answer is
(0, –2)

Answer:

[tex]B(-5,0)\rightarrow B'(0,-2)[/tex]

Step-by-step explanation:

From the diagram, B has coordinates [tex](-5,0)[/tex].

We want to find the coordinates of B' after a translation by the rule;

[tex](x,y)\rightarrow(x+5,y-2)[/tex],

We apply the rule to obtain;

[tex]B(-5,0)\rightarrow B'(-5+5,0-2)[/tex],

This implies that;

[tex]B(-5,0)\rightarrow B'(0,-2)[/tex]

Therefore the correct answer is B

Suppose a ⊆ c, and b and c are disjoint. prove that if x ∈ a then x ∈/
b.

Answers

If [tex]x\in A[/tex], then clearly [tex]x\in C[/tex]. We're given that [tex]B[/tex] and [tex]C[/tex] are disjoint, so no element in [tex]C[/tex] is also in [tex]B[/tex]. This means [tex]x\not\in B[/tex].

5n+5=45 what does n =

Answers

5n+5=45
Subtract 5 from both sides
5n=40
Divide both sides by 5
n=8

I hope this helps

x-5 is less than or equal to 1/3 (9x-6)

Answers

x-5 is less than 1/3 (9x-6) so that problem is correct

You collect old coins. today, you have two coins each of which is valued at $100. one coin is expected to increase in value by 5.2 percent annually while the other coin is expected to increase in value by 5 percent annually. what will be the difference in the value of the two coins 25 years from now?

Answers

The coin increasing in value by 5.2% will be valued at $230, and the coin increasing by 5% will be valued at $225. They will have a $5 difference

Solve the inequality, then identify the graph of the solution. 2x – 1 > x + 2

Answers

For this case we have the following inequality:
2x - 1> x + 2
To solve it, we must clear the value of x.
Clearing x we have:
2x - x> 1 + 2
x> 3
Therefore, the solution is given by:
(3, inf)
Answer:
(3, inf)
See attached image.

The answer would be

express 15 x^1/3y^1/5 using a radical

Answers

in short, to convert two fractions to have the same denominator, we simply multiply one by the denominator of the other, so in this case, we'll multiply 1/3 by 5, top and bottom, and 1/5 by 3, top and bottom, thus

[tex]\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\ -------------------------------[/tex]

[tex]\bf \cfrac{15x^{\frac{1}{3}}}{y^{\frac{1}{5}}}\qquad \begin{cases} \frac{1}{3}=\frac{1\cdot 5}{3\cdot 5}\\ \qquad \frac{5}{15}\\\\ \frac{1}{5}=\frac{1\cdot 3}{5\cdot 3}\\ \qquad \frac{3}{15} \end{cases}\implies \cfrac{15x^{\frac{5}{15}}}{y^{\frac{3}{15}}}\implies 15\cdot \cfrac{x^{\frac{5}{15}}}{y^{\frac{3}{15}}}\implies 15\cdot \cfrac{\sqrt[15]{x^5}}{\sqrt[15]{y^3}} \\\\\\ 15\sqrt[15]{\frac{x^5}{y^3}}[/tex]

Answer:

[tex]15\cdot\sqrt[3]{x}\cdot \sqrt[5]{y}[/tex]

Step-by-step explanation:

We have been given an expression [tex]15x^{\frac{1}{3}}y^{\frac{1}{5}[/tex]. We are asked to express our given expression using a radical.

Using fractional exponent rule [tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex], we can write terms of our given expression as:

[tex]15\cdot\sqrt[3]{x^1}\cdot \sqrt[5]{y^1}[/tex]

[tex]15\cdot\sqrt[3]{x}\cdot \sqrt[5]{y}[/tex]

Therefore, our required expression would be [tex]15\cdot\sqrt[3]{x}\cdot \sqrt[5]{y}[/tex].

Which absolute value statement describes a 40 yard gain in football? A. |40| = 40, B. |-40| = 49, C. -|40| = 40, D. -|40| = 40,

Answers

The answer is A.) |40|=40

Answer:

Step-by-step explanation:

Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 1.Isolate one variable in the system of equations, if needed. y = x2 – 3x + 12 y = –2x + 14 2.Use substitution to create a one-variable equation. –2x + 14 = x2 – 3x + 12 3.Solve to determine the unknown variable in the equation. What are the values of x?

Answers

-2x+14=x²-3x+12
add 2x on both side:
14=x²-x+12
subtract 14 on both side:
x²-x-2=0
factor: (x-2)(x+1)=0
x=2 or x=-1
HOPE THIS HELPS AND PLEASE MARK ME AS BRAINIEST AND ADD ME AS A FRIEND

The resulting equation will be

x^2 - x - 2 =0
x^2 -2x +x -2 = 0
(x-2)(x+1) = 0
x= 2 and x = -1

Hope this will help☺☺

What is the value of the function f(x)= -x+4 when x= -2?
A) 6
B) -6
C) -2
D) 2

Answers

f(x) = -x + 4

Substitute x = -2 to the equation:

f(-2) = -(-2) + 4 = 2 + 4 = 6

Answer: A) 6

The value of the function is A) 6 because -(-2)+4=2+4=6. The function is equal to 6.
Hope this helps!
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Find the value of x when 5-x=1/2x+4

Answers

[tex]5-x=\dfrac{1}{2}x+4\ \ \ |-5\\\\-x=\dfrac{1}{2}x-1\ \ \ \ |-\dfrac{1}{2}x\\\\-1\dfrac{1}{2}x=-1\\\\-\dfrac{3}{2}x=-1\ \ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\x=\dfrac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

Is -6.175 is an irrational number?

Answers

No.

Any number you can write completely is a rational number.
Any number with a repeating decimal fraction is also a rational number.
___
Any number that goes on forever without repeating is an irrational number. These are usually represented symbolically (because they cannot be written "exactly" any other way). These include such numbers as √2, π, e, ∛(-4), and an infinite number of others.

If you need to see up direct deposit which information from your check would you likely need A. Check number B. Memo line C. Numerical amount D. Routing number

Answers

You'd need D. Routing Number

Hello there, and thank you for asking your question here on brainly.

Answer: If you need to see up direct deposit, the information you'd most likely need is your routing number.

Hope this helped you! ♥

A country's population in 1990 was 59 million. In 2002 it was 63 million. Estimate the population in 2018 using exponential growth formula. Round your answer to the nearest million

Answers

The formula for exponential growth is P =Ae^kt

P = new population
A = starting population
k is a constant
and t is number of years.
e is a logarithm function

using the 2 known years
we know 2002-1990 = 12 years
the population in 2002 was 63 million, population in 1990 was 59 million

so using the above equation we can solve for k:
63 = 59e^k12
divide both sides by 59:
63/59 = e^k12
1.06779 = e^k12
find logorithm of left side to get rid of the e on the right side:

ln 1.06779 = k12

0.06559 = k12
divide both sides by 12 for k:
k = 0.06559 / 12 = 0.00546644
now we want to find population in 2018

2018 - 1990 = 28 years
so now t = 28 using the same formula we have:

P = 59e^(0.00546644*28)

P = 68.758 million
rounded to nearest million = 69 million people

PLZ HELP ASAP LAST CIRCLES

Answers

AC and AB are tangents to circle O, meaning that the angles C and B are right angles of 90 degrees. Since a quadrilateral's internal angles must sum up to 360 degrees, this means that A + B + C + O = 360
70 + 90 + 90 + O = 360
O = 110 degrees.

Hank delivers packages in his office building. On Tuesday he delivered four more packages than on Monday, and on Wednesday he delivered 6 more packages than on Monday. If he delivered 28 packages all together, how many did he deliver on Monday?
A) 6
B) 10
C) 18
D) 22

Answers

The answer is A because if X represents the # of packages sold on Monday, then Tuesday can be represented by x+4 and Wednesday by x+6. Add the three expressions to get 3x+10=28, subtract 10 from both sides. 3x=28, divide by 3 and get x=6

Answer:

Step-by-step explanation:

Isabella works at Baker's Book company. If she earned a commission of $63.75 on her sales of $850, what was Isabella's rate of commission?

Answers

Rate = 63.75/850=.075*100%= 7.5%

7.5% is Isabella's rate of commission.

Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 1/4 ounces each time he shampoos his dog and the bottle of shampoo originally contained 30 1/2 ounces. Which is the correct equation and value of x, the number of times Nico can bathe his dog using this one bottle?

Answers

Amount of shampoo in a bottle = [tex]30 \frac{1}{2} [/tex] ounces
Amount of shampoo Nico uses in one bathe for his dog = [tex]1 \frac{1}{4} [/tex]

Since 3 ounces of shampoo is spilled out, the amount of shampoo left in the bottle will be = [tex]27 \frac{1}{2} [/tex]

If Nico can Bathe his dog x times using this bottle, the value of x can be written as:

[tex]x= \frac{27 \frac{1}{2} }{ 1\frac{1}{4} } [/tex]

Using this equation we can find the number of times Nico can use the shampoo to Bathe . The value of x comes out to be 22.

Thus, Nico can Bathe his dog 22 times using the bottle

Final answer:

Nico can bathe his dog 22 times using the one bottle of shampoo.

Explanation:

To find the number of times Nico can bathe his dog using the one bottle of shampoo, we need to determine how many times 1 1/4 ounces can fit into the remaining shampoo in the bottle after 3 ounces have spilled out.

First, subtract the spilled amount of 3 ounces from the original amount of shampoo in the bottle, which is 30 1/2 ounces. This gives us 27 1/2 ounces remaining.

Next, divide the remaining amount of shampoo by the amount used per bath (1 1/4 ounces each time).

27 1/2 ounces ÷ 1 1/4 ounces = 22 baths

Therefore, Nico can bathe his dog 22 times using the one bottle of shampoo.

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HELP ME PLEASE!! ASAP!!

Estimate the size of a crowd at an outdoor concert venue that occupies a rectangular space with dimensions of 300 feet by 500 feet (to the nearest whole number). Assume that 5 people occupy a square measuring 5 feet by 5 feet.

A. 15,000 people
B. 20,000 people
C. 25,000 people
D. 30,000 people

Answers

The total area is given by:
A1 = (300) * (500)
A1 = 150000 feet ^ 2
The area occupied by 5 people is:
A2 = (5) * (5)
A2 = 25 feet ^ 2
Then, we can make the following rule of three:
5 --------> 25
x --------> 150000
Clearing x we have:
x = (150000/25) * (5)
x = 30000
Answer:
D. 30,000 people

Stefano calculated the mean absolute deviation for the data set 32, 4, 12, 40, 20, and 24. His work is shown below. Step 1: Find the mean. mc006-1.jpg Step 2: Find each absolute deviation. 10, 18, 10, 18, 2, 2 Step 3: Find the mean absolute deviation. mc006-2.jpg What is Stefano’s error? Stefano should have divided by 5 when finding the mean. Stefano found the absolute deviation of 20 incorrectly. Stefano should have divided by 6 when finding the mean absolute deviation. Stefano did not find the correct value for the mean.

Answers

Here is the correct work. The picture is not showing up, but you can compare this work to what is given.

To find the mean, you will find the sum of all the numbers and divide by how many numbers there are.

Mean: 4 + 12 + 20 + 24 + 32 + 40 = 132
132/6 = 22
Mean: 22

To find the mean absolute deviation, you find how far away each of the numbers are from the mean. Find the sum of these and divide by the same number of numbers.

(22 - 4) + (22-12) + (22-20) +(24 - 22) + (32-22) + (40-22)
18 + 10 + 2 + 2 + 10 + 18 = 60
60/6 = 10

The MAD is 10.

I think the correct answer is that Stefano should have divided by 6 when finding the mean absolute deviation.

Answer:

Stefano should have divided by 6 when finding the mean absolute deviation. ed quiz correct

Step-by-step explanation:

Tumblr's stock price is $38 per share. Anjie purchased 600 shares. Assuming a broker's commission of $0.10 per share to purchase the 600 shares, what was Anjie's total cost? A. $22,860 B. $22,740 C. $23,400 D. $22,800

Answers

Anjie's total cost for purchasing 600 shares of Tumblr stock at $38 per share plus a broker’s commission of $0.10 per share is $22,860. Hence, correct option is A $22,860.

To determine the total cost of Anjie’s purchase, follow these steps:

First, calculate the purchase cost of the shares:

600 shares* $38 per share = $22,800.

2. Next, calculate the broker’s commission:

600 shares* $0.10 per share = $60.

3. Add the purchase cost and the broker’s commission to get the total cost:

$22,800 + $60 = $22,860.

Thus, Anjie's total cost is $22,860 which corresponds to option A.

Multiply 3i(−1 + 2i). What is the simplified version written in standard form, a + bi, where a and b are real numbers?

Answers

3i (- 1 + 2i) Remove the brackets.
3i (-1) + (2i)(3i) Look at the first set of brackets around the -1
-3i + 6i^2 But i^2 = - 1[ I hope that's the way you are using it]
-3i - 6 or -6 - 3i or -3(2 - i) <<<<< answer

Find the value of -7 + (-9) + 11 + 8

Answers

First we open the parentheses:
-7-9+11+8
Simplify:
-16 + 19 = 3
The value is 3

good day ^-^ ///////////////

Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate the current population of insect A to be 1.3 million and the current population of insect B to be 2.1 million. As development is encroaching on the section of rain forest where these insects live, the zoologists estimate the populations of insect A to be reducing at a rate of 3.8% and insect B to be reducing at a rate of 4.6%. If P represents the population of each species of insect in millions, and t represents the elapsed time in years, then which of the following systems of equations can be used to determine how long it will be before the populations of the two species are equal?

Answers

The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t

We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.

We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.

For these types of problems, the equations of the form should be considered:
y = A * (B) ^ t
Where:
A: initial population.
B: annual exchange rate.
T: Time in years.
Then the equations of the system that must be used to find the time in which both are equal are:
1, 3,00,000 * (1-0,038) ^ t for the type of insect A
2, 1 00 000 * (1-0,046) ^ t for the type of insect B.

When you agree to pay a car dealer for the use of a new car during a set period of time for a set amount of money and you have to return it at the end of that period of time, you are _____

Answers

When you agree to pay a car dealer for the use of a new car during a set period of time for a set amount of money and you have to return it at the end of that period of time, you are leasing a car.

Vehicle leasing is the leasing (or the use) of a motor vehicle for a fixed period of time at an agreed amount of money for the lease. It is commonly offered by dealers as an alternative to vehicle purchase but is widely used by businesses as a method of acquiring (or having the use of) vehicles for business, without the usually needed cash outlay. The key difference in a lease is that after the primary term (usually 2, 3 or 4 years) the vehicle has to either be returned to the leasing company or purchased for the residual value.

hey can you please help me posted picture of question

Answers

Points of intersection are solution set. Answer is 2.

Answer:
Two

Explanation:
The solution of a system of equations is defined as the values which satisfies both equations.

Graphically, the solutions are represented by the points of intersection between the two equtaions.

In the given graph, we have a circle and a line, we can note that these two intersect in two points.

This means that the system has two solutions

Hope this helps :)

Two numbers rolled can be added to get a sum. Find P(sum is even.)

Answers

When you roll two numbers you have four kinds of outcomes: EE, EO, OE, OO (where E = even, O = odd).

You get an even sum only if you sum two numbers that are both even or both odd, therefore the outcomes wanted are two: EE and OO.

Therefore:
P(sum is even) = 2 / 4 = 0.5

Hence, there is a 50% probability that, when you roll two numbers, their sum will be even.

9/4x-1/2y =-3 x and y intercept form

Answers

9/4x - 1/2y = -3

Solve for y.

-1/2y = -3 - 9/4x
y = 6 + 4.5x

y intercept = 6

Solve for x.

9/4x = -3 + 1/2y
x = -1 1/3 + 0.2y

x intercept = -1 1/3

Final answer:

The x and y intercepts of the equation 9/4x - 1/2y = -3 are -4/3 and 6 respectively. These were calculated by separately setting the x and y to zero and solving for the other variable.

Explanation:

To find the x and y intercepts of the equation 9/4x - 1/2y = -3, we need to set each of the variables x and y to zero separately and solve for the other variable.

Set y = 0 in the equation for the x-intercept. This gives us 9/4x = -3, and solving for x, we get x = -4*3/9 = -4/3.

For the b, set x = 0 in the equation. This gives us -1/2y = -3, and solving for y, we get y = 2*3 =6.

So the x-intercept and y-intercept of the equation are -4/3 and 6 respectively.

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PLZ HELP ASAP TANGENTS OF A CIRCLES PROBLEMS

Answers

The radius of circle is 5.

AO = AB + OB

AB = 8
OB = Radius of circle = 5

So,

AO = 8 +5 = 13

The tangent of the circle is at 90 degrees to its radius. So we can say that triangle ACO is a right angled triangle, with side AO the hypotenuse.

Using the Pythagorean theorem we can find the length of tangent AC.

13² = AC² + 5²
AC² = 169 - 25 = 144
AC = 12

So, the length of side AC is 12

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