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3 years ago

Which of the following are valid names for the given polygon

Mathematics

1 answer:

barxatty [35]3 years ago

5 0

B,C and D are correct because all of those choices include letters which are arranged in order from left of right.

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100 POINTS AND BRAINLIEST

zysi [14]

Answer:

8 square units and $\frac{40}{3}$ square units

Step-by-step explanation:

The area of the triangle ABC is 24 square units.

1. Triangles ABC and FBG are similar with scale factor $\frac{1}{3},$ then

$\dfrac{A_{\triangle FBG}}{A_{\triangle ABC}}=\dfrac{1}{9}\Rightarrow A_{\triangle FBG}=\dfrac{1}{9}\cdot 24=\dfrac{8}{3}\ un^2.$

2. Triangles ABC and DBE are similar with scale factor $\frac{2}{3},$ then

$\dfrac{A_{\triangle DBE}}{A_{\triangle ABC}}=\dfrac{4}{9}\Rightarrow A_{\triangle DBE}=\dfrac{4}{9}\cdot 24=\dfrac{32}{3}\ un^2.$

3. Thus, the area of the quadrilateral DFGE is

$A_{DFGE}=A_{\triangle DBE}-A_{\triangle FBG}=\dfrac{32}{3}-\dfrac{8}{3}=8\ un^2.$

and the area of the quadrilateral ADEC is

$A_{ADEC}=A_{\triangle ABC}-A_{\triangle DBE}=24-\dfrac{32}{3}=\dfrac{40}{3}\ un^2.$

4 0

3 years ago

Read 2 more answers

What is the solution set to, "Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each da

Anastaziya [24]

Answer:

Katie will collect more than 100 seashells in 5 and a half days.

Step-by-step explanation:

Katie already has 34 seashells in her collection.

Each day, she finds 12 more seashells on the beach.

Let x be the number of days Katie is collecting seashells.

In x days, she will collect 12x seashells.

In total, she will collect $34+12x$ seashells.

Katie wants to collect over 100 seashells, so

$34+12x> 100$

Solve this inequality. Subtract 34:

$34+12x-34>100-34\\ \\12x>66\\ \\2x>11\\ \\x>5 \dfrac{1}{2}$

Katie will collect more than 100 seashells in 5 and a half days.

3 0

4 years ago

What is the slope of the line shown?

Alina [70]

Answer:1/2 slope

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

You are comparing cell phones. The old model is 7/8 of an inch thick. The new model is 3/5 of an inch thick. How much thinner is

Sloan [31]

The new model is 11/40 of an inch thinner than the old model.

In order to do this, we need to subtract the new model from the old model.

7/8 - 3/5

In order to complete this, we will need common denominators.

35/40 - 24/40

Then simply complete the operation.

11/40

3 0

4 years ago

Find the equation of the line.

Alex

Answer:

Y=4x-9

Step-by-step explanation:

The line is at -9 when it's on the y axis

It goes up 4 over 1

6 0

3 years ago