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3 years ago

ABCD is a parallelogram. Find the measure of angle ABC.

Mathematics

2 answers:

iVinArrow [24]3 years ago

5 0

Answer:

∠ABC = 50°

Step-by-step explanation:

Since this is a parallelogram, opposite angles are congruent.

Therefore, ∠D ≅ ∠B

∠D = 38° + 12°

∠B = 38° + 12°

∠B = 50°

∠ABC = 50°

Blababa [14]3 years ago

5 0

Answer:

the things wont load whats the question?

Step-by-step explanation:

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Please help!! With step by step

Sever21 [200]

Answer:

$R=\$145.12$

Step-by-step explanation:

Compound Interest

This is a well-know problem were we want to calculate the regular payment R needed to pay a principal P in n periods with a known rate of interest i.

The present value PV or the principal can be calculated with

$P=F_a\cdot R$

Solving for R

$\displaystyle R=\frac{P}{F_a}$

Where Fa is computed by

$\displaystyle F_a=\frac{1-(1+i)^{-n}}{i}$

We'll use the provided values but we need to convert them first to monthly payments

$i=7\%=7/(12\cdot 100)=0.00583$

$n=3*12=36$

$\displaystyle F_a=\frac{1-(1+0.00583)^{-36}}{0.00583}$

$F_a=32.386$

Thus, each payment is

$\displaystyle R=\frac{4,700}{32.386}=145.12$

$\boxed{R=\$145.12}$

4 0

3 years ago

Solve the equation for the variable, show your work 11x - 16 = -49 x = _____

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

<h2>Given,</h2>

11x - 16 = -49

=> 11x = - 49 + 16

=> 11x = -33

$= > x = \frac{ - 33}{11}$

=> x = -3 (Ans)

5 0

3 years ago

Read 2 more answers

Identify the graph of the equation y = 2x2 − 2x + 1.

Schach [20]

Answer:

im pretty sure it's c

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z%

sergeinik [125]

Answer:

Both statements are sufficient to answer the question

Step-by-step explanation:

Given:

- The paint mixture has following proportions:

Total volume of paint = T

Blue: x*T / 100

Green: y*T/100

Red: z*T/100

Find:

Statement 1: x = y

Statement: z = 60

Which of the above statement is sufficient to calculate the amount of green paint used

Solution:

Statement 1:

- The amount of blue paint used is:

1 gallon = x*T / 100

- x = y,

1 gallon = y*T / 100

Hence,

Amount of green paint used is 1 gallon

- The statement is sufficient

Statement 2:

- The amount of red paint used is:

3 gallon = z*T / 100

T = 300 / z = 300 / 60 = 5 gallons

T = R + B + G

G = T - R - B

G = 5 - 3 - 1

G = 1 gallons

Hence,

Amount of green paint used is 1 gallon

- The statement is sufficient

5 0

3 years ago

What is 257,650 rounded to the nearest ten

den301095 [7]

The answer is 257,650

5 0

3 years ago

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ABCD is a parallelogram. Find the measure of angle ABC.​

ABCD is a parallelogram. Find the measure of angle ABC.