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3 years ago

10

In the diagram, which angles are vertical angles? Select

2 answers:

miskamm [114]3 years ago

6 0

Answer:

Step-by-step explanation:

∠ABE and ∠CBD

∠ABC and ∠EBD

Mumz [18]3 years ago

3 0

Answer:

∠ABE and ∠CBD

∠ABC and ∠EBD

Step-by-step explanation:

we know that

<u>Vertical Angles</u> are the congruent angles opposite each other when two lines cross

so

In this problem we have that

m∠ABE=m∠CBD ----> by vertical angles

m∠ABC=m∠EBD ----> by vertical angles

therefore

The angles that are vertical angles are

∠ABE and ∠CBD

∠ABC and ∠EBD

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The length of a swimming pool is 3 feet longer than it’s width. The swimming pool is surrounded by a deck that is 2 feet wide an

Firlakuza [10]

Answer:

The Length of swimming pool is 8.35 feet

The width of swimming pool is 5.35 feet

Step-by-step explanation:

Given as :

The length of swimming pool is 3 feet longer that its width

Let The width of swimming pool = w feet

So, The Length of swimming pool = L = (w + 3) feet

Now, The swimming pool is surrounded by deck of 2 feet wide

The width of deck = w' = w + 2 + 2 = (w + 4) feet

The area of deck = 116 feet²

The length of deck = L' = L + 2 + 2 = (L + 4) feet

So, L' = (w + 3 + 4) feet

I.e L' = (w + 7) feet

∵ The area of deck = 116 feet²

So , L' × w' = 116 feet²

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Or, w² + 4 w + 7 w + 28 = 116

Or, w² + 11 w - 88 = 0

Solving the quadratic equation as

ax² + bx + c = 0

So, w = $\dfrac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, w = $\dfrac{-11\pm \sqrt{11^{2}-4\times 1\times (-88)}}{2\times 1}$

Or, w = $\dfrac{-11\pm \sqrt{473}}{2}$

or, w = $\dfrac{-11\pm 21.7}{2}$

or, w = 5.35 , -16.35

The width of swimming pool = w = 5.35 feet

The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet

Hence, The Length of swimming pool is 8.35 feet

And The width of swimming pool is 5.35 feet

Answer

3 0

3 years ago

Can someone help me my grade are bad

Likurg_2 [28]

Answer:

8.31

Step-by-step explanation:

Using the Pythagorean Theorem:

$a^2+b^2=c^2$

$10^2+b^2=13^2$

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$b^2=69$

$b = \sqrt{69}$

$b = 8.306623863$

The side length for $x$ , rounded to the nearest hundredths, would be 8.31.

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