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3 years ago

Given: \overline{AE} \parallel \overline{FD},

Mathematics

1 answer:

MariettaO [177]3 years ago

3 0

Answer:

See below for answer.

Step-by-step explanation:

∠ECB ≅ ∠FBC Parallel lines cut by a transversal form congruent alternate

interior angle

Δ AEC ≅ Δ DFB ASA

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Solve for x. Show all your work

olasank [31]

42°

Step-by-step explanation:

$\angle BAE =180\degree -132\degree$

(Angles in linear pair)

$\angle BAE =48\degree$

$\angle AEB =90\degree..(\because \overrightarrow{EC}\perp\overrightarrow{ED})$

$\angle ABE = 180\degree-(48\degree+90\degree)$

(Angle sum postulate of a triangle)

$\implies\angle ABE = 180\degree-138\degree$

$\implies\angle ABE = 42\degree$

$\angle CDE =\angle ABE = 42\degree$

(corresponding angles)

$\implies x\degree=\angle CDE$

(vertical angles)

$\implies x\degree=42\degree$

$\implies x=42$

3 0

2 years ago

Solve. (-2/3)(-1/4) A. -2/7 B. -2/12 C. 2/12 D. 2/7

WITCHER [35]

Answer:

C. 2/12

Step-by-step explanation:

multiplication and when two negatives are multiplied together they always equal a positive i hope this helps have a great day :)

6 0

3 years ago

Three vertices of a rectangle have coordinates (–6, 2), (–6,–1), and (4, 2).

Allushta [10]

The correct answer would be C., I believe, because you take the opposite of the coordinate and subtract one. Hope this was helpful! (:

5 0

4 years ago

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each

Ostrovityanka [42]

Answer:

There were 7 small boxes and 14 large boxes shipped.

Step-by-step explanation:

This problem may be solved by a system of equations:

I am going to say that:

x is the number of small boxes used

y is the number of large boxes used

There were twice as many large boxes shipped as small boxes shipped

This means that $y = 2x$

Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. The total weight of all boxes was 1435 pounds.

This means that $45x + 80y = 1435$

So we have to solve the following system:

$y = 2x$

$45x + 80y = 1435$

$45x + 80(2x) = 1435$

$205x = 1435$

$x = \frac{1435}{205}$

$x = 7$

$y = 2x = 2(7) = 14$

There were 7 small boxes and 14 large boxes shipped.

7 0

3 years ago

How to do a dilation factor in geometry

Ostrovityanka [42]

Hello!

To find the dilation factor you find what figure 1 was multiplied by to get figure 2

Hope this helps!

8 0

3 years ago