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Bogdan [553]
3 years ago
7

Is DE parallel to AB? Show your work to receive full credit.

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Answer:

DE is parallel to AB, ∠ACB =∠DCE. So from symmetry of triangle. Δ DCE and Δ ABC are symmetric

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The surface of an office desk has a perimeter of 20 feet and an area of 21 square feet. what are the dimensions of the desk?
PolarNik [594]

Answer:

3 feet by 7 feet

Step-by-step explanation:

perimeter = 20 feet

area = 21 feet²

If the desk is a rectangle:

perimeter = 2l + 2w = 2 (l+w) = 20

                                    2 (l+w) = 20 , divide both sides by 2

                                          l+w = 10

area = l · w = 21

What numbers we know that have sum as 10 and their product as 21?

l + w = 10

l · w = 21

factors of 21 are 1,3,7

3+7 = 10

3 ·7 = 21

The dimensions of the desk could be 3 feet by 7 feet.

6 0
2 years ago
Need help asap<br> 8th grade math
Firdavs [7]

Answer:

x = 0

Step-by-step explanation:

The distributive property of multiplication states that a(b - c) = a(b) - a(c). We can apply that to the given equation.

3(2 - x) = 6

3(2) - 3(x) = 6 (Apply distributive property on LHS)

6 - 3x = 6 (Simplify LHS)

6 - 6 - 3x = 6 - 6 (Subtract 6 from both sides)

-3x = 0 (Simplify both sides)

\frac{-3x}{-3} =\frac{0}{-3} (Divide both sides by -3)

x = 0 (Simplify)

Hope this helps!

8 0
4 years ago
Calculate the area of the window using the dimensions given in Part A. SHOW YOUR WORK and EXPLAIN YOUR REASONING.
SashulF [63]

The shape of the window is a trapezoid, and the area of the window is 110.88 square feet

<h3>How to determine the area of the window?</h3>

The given parameters are:

  • Long base = 15.2 feet
  • Short base = 11.2 feet
  • Perpendicular height = 8.4 feet

The shape of the window is a trapezoid.

So, the area is:

Area = 0.5 * (Long + Short) * Height

This gives

Area = 0.5 * (15.2 + 11.2) * 8.4

Evaluate

Area = 110.88

Hence, the area of the window is 110.88 square feet

Read more about areas at:

brainly.com/question/21735282

#SPJ1

6 0
2 years ago
How would I solve for x?​
vaieri [72.5K]

Answer:

x = 65

Step-by-step explanation:

First, we calculate the unknown angle of the left triangle and right triangle:180 - 62 - 50 = 68

Unknown angle for left triangle⬆️

180 - 80 - 53 = 47

Unknown angle for right triangle⬆️

Now we've calculated the two angles for the small triangle in the middle. So, we just have to calculate the top angle of the middle triangle:

180 - 68 - 47 = 65

The angle 65° and angle of x are vertical angle.(both are equal)

So... <u>x= 65°</u>

<em>hope it </em><em>helps </em><em>:</em><em>)</em>

4 0
3 years ago
a popular movie debuted in 2940 theaters and earned an average of $12,490 per cinema the weekend of the debut. Find the amount t
Yuri [45]
Hello! So to find the amount the movie earned that first weekend, all you have to do is multiply the amount of theaters by the amount made per theater. In this case, there are 2,940 theaters and made an average of $12,490. 2,940 * 12,490 is 36,720,600. There. The movie made $36,720,600 on it's opening weekend.
8 0
4 years ago
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