If ΔABC≅ΔMNO, then what corresponding angle is congruent to angle N? (Enter your answer using the angle letter only.)
Answer: [tex]\angle{B}[/tex]
Step-by-step explanation:
We know that if two triangles are congruent , then their corresponding sides and angles are congruent (by CPCTC).
[CPCTC is the acronym use for the property of congruent triangles that says that corresponding parts of two congruent triangles are congruent]
Given : ΔABC ≅ ΔMNO
Then , [tex]\angle{A}[/tex] corresponds [tex]\angle{M}[/tex] [First letter]
[tex]\angle{B}[/tex] corresponds [tex]\angle{N}[/tex] [Middle letter]
[tex]\angle{C[/tex] corresponds [tex]\angle{O}[/tex] [last letter]
Then , by CPCTC, we have
[tex]\angle{B}\cong\angle{N}[/tex]
Hence, angle B is the corresponding angle which is congruent to angle N.
A graphic designer wants to translate rectangle DEFG using T–1, 2(x, y). The pre-image has coordinates D(–1, 3),
E(4, 3), F(4, 1), and G(–1, 1). What is the image of DEFG?
PLEASE ANSWER
Answer:The answer is B !
Step-by-step explanation:
A translation is a rigid translation that changes the location of a figure without a net reflection or rotation
The option that gives the correct image of the preimage DEFG, which is D'(-2, 5), E'(3, 5), F'(3, 3), G'(-2, 3), is; The second diagram
Please find attached a diagram showing the preimage and the image
The reason why the selected option is correct is given as follows
The given translation is T₍₋₁, ₂₎(x, y)
Coordinates of the pre-image are D(-1, 3), E(4, 3), F(4, 1), and G(-1, 1)
Required:
To find the image formed following the translation
Solution:
To translate a preimage given the measure of the translation of the x and y-values, in the form T₍₋₁, ₂₎(x, y), '-1' is added to the x-values, and '2' is added to the y-values, as follows
D(-1, 3) [tex]\underset {\longrightarrow } {T_{-1, 2}}[/tex] D'(-1 - 1, 3 + 2) = D'(-2, 5)E(4, 3) [tex]\underset {\longrightarrow } {T_{-1, 2}}[/tex] E'(4 - 1, 3 + 2) = E'3, 5)F(4, 1) [tex]\underset {\longrightarrow } {T_{-1, 2}}[/tex] F'(4 - 1, 1 + 2) = F'(3, 3)G(-1, 1) [tex]\underset {\longrightarrow } {T_{-1, 2}}[/tex] G'(-1 - 1, 1 + 2) = G'(-2, 3)The coordinates of the vertices of the image are D'(-2, 5), E'(3, 5), F'(3, 3), and G'(-2, 3)
The image of DEFG is the second diagram, D'E'F'G'.
Please find attached the diagram of the image of the preimage DEFG constructed with dashes
Learn more about translation transformation here:
https://brainly.com/question/17139588
What is the area of a trapezoid that has bases of 1feet and 14 inches and a height of 3 inches? A 43.5 in.^2 B 87 in.^2 C 22.9 in.^2 D 3.6 in.^2
Answer:
Option A. [tex]43.5\ in^{2}[/tex]
Step-by-step explanation:
we know that
The area of a trapezoid is equal to
[tex]A=(1/2)(b1+b2)h[/tex]
we have
[tex]b1=1\frac{1}{4}\ ft[/tex]
[tex]b2=14\ in[/tex]
[tex]h=3\ in[/tex]
Convert feet to inches first
Remember that
[tex]1\ ft=12\ in[/tex]
so
[tex]1\frac{1}{4}\ ft=\frac{5}{4}\ ft=12*\frac{5}{4}=15\ in[/tex]
substitute in the formula
[tex]A=(1/2)(15+14)3=43.5\ in^{2}[/tex]
Answer:
43.5 in^2
Step-by-step explanation:
Four int variables, x1, x2, y1, and y2, have been declared and been given values. write an expression whose value is the difference between the larger of x1 and x2 and the smaller of y1 and y2.
To find the difference between the larger of x1 and x2 and the smaller of y1 and y2, you first identify these respective values using max and min functions. Then, simply subtract the smaller value from the larger one.
Explanation:To solve this problem, we first identify the larger value between x1 and x2, and the smaller value between y1 and y2. We can do this by using the 'max' function for the variables x1 and x2 and the 'min' function for y1 and y2. Once we have identified these values, we then compute the difference between the larger of x1 and x2 and the smaller of y1 and y2. This concept is based on comparison operations in mathematics.
Here is how it would look like in a programming context:
int larger = Math.max(x1, x2);
int smaller = Math.min(y1, y2);
int difference = larger - smaller;
where 'difference' is the answer you are looking for.
Learn more about Comparison Operations here:https://brainly.com/question/33506016
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Which of the following shows the graph of y = 4x + 3?.
its the first graph
A
To find the graph of the equation y = 4x + 3, plot the y-intercept at (0,3) and use the slope of 4 to plot additional points. Connect these points to form a straight line that slopes upward to the right, reflecting a positive slope.
The student has asked to identify the graph of the equation y = 4x + 3. This is an equation of a straight line where the slope (m) is 4 and the y-intercept (b) is 3. According to the properties of linear equations, for every increase of 1 on the x-axis, the value of y will increase by the slope value, which is 4 in this case. The graph will intersect the y-axis at 3, which is the y-intercept.
To graph this line, you can start by plotting the y-intercept at (0,3) on the graph. Then, use the slope to determine the next point by moving 4 units up for every 1 unit you move to the right. Repeat this process with several values of x to construct a table, for instance, at x=1, y=7, at x=2, y=11, etc. These points are then plotted and connected with a straight line to represent the graph of the equation.
Referring to Figure 12.4, we can see that the line would match figure (a) which shows a line that slopes upward to the right, because our b value (slope) is greater than 0.
marika is training for a track race She starts by sprinting 100 yards . She gradually increases her distance , adding 4 yards a day for 21 days how far does she sprint on day 21
using an=100+(n-1)4
Answer:
180 yards on day 21
Step-by-step explanation:
just took on A P E X !!
If 88% of milk is water, what percentage do the other components equal
The correct answer is that the other components equal 12% of the milk.
To solve this problem, one must understand that the total percentage of all components in milk must add up to 100%. Given that 88% of milk is water, the remaining percentage will be the sum of all other components in the milk.
To find the percentage of the other components, subtract the percentage of water from the total percentage:
Total percentage of milk = 100%
Percentage of water in milk = 88%
Percentage of other components = Total percentage of milk - Percentage of water in milk
Percentage of other components = 100% - 88%
Percentage of other components = 12%
Therefore, the other components in the milk make up 12% of the milk.
Complete question:- If 88% of milk is water, what percent do the other components equal?
Hint: Omars equation doesn't work!
Identify his error and correct it by showing the steps Omar should have taken and determine the correct value of x.
Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6.
For this case we must simplify the following expression:
[tex]\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6}[/tex]
Simplifying the numerator, dividing all the terms by 4, we have:
[tex]x ^ 2-8x + 12[/tex]
We factor by looking for two numbers that when added together give -8 and when multiplied by 12. These are: -6 and -2
[tex]-6-2 = -8\\-6 * -2 = 12[/tex]
So, we have to:
[tex]x ^ 2-8x + 12 = (x-6) (x-2)[/tex]
Simplifying the denominator:
We rewrite -17x as -18x + x:
[tex]3x ^ 2-18x + x-6[/tex]
We factor the highest common denominator of each group:
[tex]3x (x-6) +1 (x-6)[/tex]
We factor the polynomial by factoring the highest common denominator (x-6):
[tex](x-6) (3x + 1)[/tex]
So, we have to:
[tex]3x ^ 2-17x-6 = (x-6) (3x + 1)[/tex]
Substituting in the original expression we have:
[tex]\frac {(x-6) (x-2)} {(x-6) (3x + 1)} = \frac {x-2} {3x + 1}[/tex]
ANswer:
[tex]\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6} = \frac {x-2} {3x + 1}[/tex]
PLEASE HELP!!???!!!?
Which of the following sets are closed under multiplication? Select all that apply. integers irrational numbers whole numbers polynomials
integers, polynomials and whole numbers
Caleb has an offer from a credit card issuer for 0% APR for the first 30 days and 17.68%
APR afterwards, compounded daily. What effective interest rate is Caleb being offered?
17.61%
19.19%
17.68%
19.33%
Solution:- Answer is 19.33%
Annual percentage rate (APR) is the yearly rate for a price which have to pay for borrowing money through credit card.
Here Caleb has an offer from a credit card issue for i=0% APR for the first 30 days.
now, effective interest rate for n= 30 days
=[tex]r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0}{30} )^{30}-1\\\Rightarrow\ r=(1+0)^{30}-1=1-1=0[/tex]
After 30 days APR =17.68%=0.1768
n=365-30=335 days
now the effective interest rate for n=335 days
=[tex]r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0.1789}{335} )^{335}-1\\\Rightarrow\ r=(1+0.000527)^{335}-1=(1.000527)^{335}-1=1.1933-1=0.1933[/tex]
=19.33%
So the effective interest rate for 365 days =0+19.33% =19.33%
So fourth option is correct.
Answer:
17.61%
Step-by-step explanation:
just did it
Which of the following is the solution to the equation 25^(z + 2) = 125?
Answer:
z = -0.5
Step-by-step explanation:
Using exponent rule:
[tex]x^a = x^b[/tex] then a = b
Given the equation:
[tex]25^{z+2} = 125[/tex]
We can write 25 and 125 as:
[tex]25 = 5 \cdot 5 = 5^2[/tex]
[tex]125 = 5 \cdot 5 \cdot 5 = 5^3[/tex]
then;
[tex]5^{2(z+2)}= 5^3[/tex]
Apply the rule:
[tex]2(z+2) = 3[/tex]
using distributive property [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]
[tex]2z+4 = 3[/tex]
Subtract 4 from both sides we have;
[tex]2z = -1[/tex]
Divide both sides by 2 we have;
z = -0.5
Therefore, the solution for the given equation is, z = -0.5
The explicit rule for a sequence is
an=48−11n .
What is the recursive rule for the sequence?
an=an−1+37,a1=11
an=an−1−11,a1=37
an=an+1−11,a1=37
an=an−1−37,a1=11
Write an equation for the line that is parallel to the given line and that passes through the given point.
y = 2x + 7; (3, 11)
I'm so bad at math please help!??
What is the median for the set of data?
Ages
Stem Leaves
5 0, 4, 6
6 0, 2, 3, 4, 8, 8, 9
7 0, 2, 3, 4, 4, 4, 8, 9
8 4, 5, 6, 8
5|0 = 50 years old
70
71
72
74
Answer:
71
Step-by-step explanation:
Solve for w.
1/7 = -3/2w -4/5 Simplify your answer as much as possible.
Answer:
7 on k-12
Step-by-step explanation:
7(w+1)7w+77w+77w+7−7w7217=======5(2w−3)+110w−15+110w−1410w−14−7w3w−143wwDistribute on each side.Simplify the right side.Subtract 7w from each side.Combine like terms.Add 14 to each side.Divide each side by 3.
David has a credit card with an APR of 13.59% and a 30-day billing cycle. The table below details David’s transactions with that credit card in the month of November. Date Amount ($) Transaction 11/1 1,998.11 Beginning balance 11/5 43.86 Purchase 11/16 225.00 Payment 11/23 61.21 Purchase Between the previous balance method and the daily balance method, which method of calculating David’s November finance charge will result in a greater finance charge, and how much greater will it be?
Rhianna has $5.25 in dimes and nickels for a total of 63 coins. how many dimes does she have
Answer:
The number of dimes she has = 42
Step-by-step explanation:
Rhianna has $5.25 in dimes and nickels for a total of 63 coins.
Let the number of nickels be x and the dimes be y.
Since nickels = 0.05 cent and Dimes = 0.10 cent
Now we will form the equations.
10 y + .05 x = 5.25
5x + 10y = 525
x + 2y = 105 ------(1)
x + y = 63 ----(2)
By subtracting equation 2 from 1.
(x + 2y)-(x + y) = 105 - 63
x + 2y - x - y = 42
y = 42
By putting y = 42 in equation 1
x + 42 = 63
x = 63 - 42 = 21
Therefore
Number of dimes will be 42.
Formulate the recursive formula for the following geometric sequence.
{-16, 4, -1, ...}
Answer:
[tex]a_{n} =\frac{-a_{n-1}}{4}[/tex].
Step-by-step explanation:
We are given a geometric sequence { -16, 4, -1, .... }
i.e. [tex]a_{1} =-16[/tex], [tex]a_{2} =4[/tex], [tex]a_{3} =-1[/tex], ...
We will first find the common ratio 'r'.
Now, [tex]r=\frac{a_{n}}{a_{n-1}}[/tex]
i.e. [tex]r=\frac{a_{2}}{a_{1}}[/tex]
i.e. [tex]r=\frac{4}{-16}[/tex]
i.e. [tex]r=\frac{1}{-4}[/tex]
Similarly, i.e. [tex]r=\frac{a_{3}}{a_{2}}[/tex]
i.e. [tex]r=\frac{-1}{4}[/tex]
So, we get that the common ratio is [tex]r=\frac{-1}{4}[/tex].
Now, the recursive formula for the geometric sequence is given by,
[tex]a_{n} =r \times a_{n-1}[/tex]
i.e. [tex]a_{n} =\frac{-1}{4} \times a_{n-1}[/tex]
i.e. [tex]a_{n} =\frac{-a_{n-1}}{4}[/tex].
Hence, the recursive formula for this sequence is [tex]a_{n} =\frac{-a_{n-1}}{4}[/tex].
A system of linear equations is shown below. 2x + 4y = 10 3x – y = 8 marla is attempting to prove that by replacing 2x + 4y = 10 with a different equation it will sometimes produce a new system of equations with the same solution. marla plans on multiplying 2x + 4y = 10 by 2 and then adding the results to the equation 3x – y = 8 in order to create a new equation. marla claims that the new equation that she will replace 2x + 4y = 10 with is 7x + 7y = 12. is marla correct?
No, Marla is not correct. The correct new equation is 4x + 8y = 20.
Explanation:No, Marla is not correct. To create a new equation that represents the same system of equations, we need to perform the same mathematical operation on both sides of the equation. In this case, Marla multiplied the left side of the equation by 2, but not the right side. To maintain equality, we need to multiply both sides of the equation by the same constant. Therefore, the correct new equation would be 4x + 8y = 20.
A Ferris Wheel turns at a constant speed.
It takes 4 minutes to turn through a complete circle.
What angle does the Ferris Wheel turn through in 90 seconds?
A) 125 degrees
B) 135 degrees
C) 145 degrees
D) 155 degrees
The experimental probability of a coin landing on heads is 7/12. If the coin landed on tails 30 times, find the number of tosses
Factor 20x2 + 25x – 12x – 15 by grouping. 1. Group terms with common factors. 2. Factor the GCF from each group. 3. Write the polynomial as a product of binomials.
Answer:
(5x - 3) • (4x + 5)
Step-by-step explanation:
A garden is in the shape of a square. the area of the garden is 178 square meters. the exact length of a side of the garden is between which two lengths?
8) A customer paid 84p for 300g of grapes. Find the price for 1/2kg
One of the parallel sides of a trapezium is 5cm longer than the other. If the
prependicular
distance between them
is 9cm and area is 126cm
2
, find the length
of the parallel sides.
A probe is traveling to mercury is 4.8 x 10^7 miles away the probe travels at a rate of 6 x 10^4 miles per hour. Using the formula: time = distance / rate determine how long it would take the probe to reach mercury all units are in hours.
A. 0.8
B. 2.88 x 10^4
C. 8 x 10^2
D. 1.2 x 10^3
Please help
Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate. Find his average speed in kilometers per hour
The average speed of an object is computed as follows,
[tex]v=\frac{d}{t}[/tex] , where [tex]d[/tex] is the distance covered in the time interval of interest and [tex]t[/tex] is the time taken to cover the distance.
In this problem, the distance covered is
[tex]d= 3\frac{1}{6} km =\frac{19}{6} km.[/tex] as an equivalent fraction.
The time taken for the journey is
[tex]t=\frac{1}{4} hour.[/tex].
The avarage is speed is then,
[tex]v=\frac{d}{t}[/tex]
[tex]v=\frac{(19/6)km}{(1/4)h} =\frac{19\times 4 km}{6\times 1h} =\frac{38km}{3h} = 12.67km/h.[/tex]
In Washington, D.C., Constitution Ave. meets Pennsylvania Ave. at a 25° angle. What is the measure of the complementary angle to the angle formed by these two avenues?