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3 years ago

14

Select the correct answer. The grounds crew at a college is installing a path around a pond on campus as shown. What is the peri

meter of the path? PLZ HELP

1 answer:

olchik [2.2K]3 years ago

7 0

Answer:

B

Step-by-step explanation:

You are combining like terms.

1.) find all of the #x³ and there is only one and that is -x³ so that limits the problem to B or D.

2.) now you find all of the #x² and there are three of them being 10x², -x², and 4x². Now that you have identified them you will add them together to get a sum of 13x²

you don't have to do anymore of the question because D does not have 13x² so it is B.

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Which additional fact proves that ΔRST and ΔWXY are congruent if ∠R ≅ ∠W and RS ≅ WX.

lions [1.4K]

Answer:

C) $\angle X=2x-20$

Step-by-step explanation:

We are given that

$\angle R\cong \angle W$

$RS\cong WX$

$\angle R=2x+3$

$\angle S=x+10$

$\angle T=3x-13$

We have to find the additional fact which proves that triangle RST and triangle WXY are congruent.

In triangle RST

$\angle R+\angle S+\angle T=180^{\circ}$ (Triangle angles sum property)

Substitute the values then we get

$2x+3+x+10+3x-13=180$

$6x=180$

$x=\frac{180}{6}=30^{\circ}$

$\angle R=2(30)+3=63^{\circ}$

$\angle S=30+10=40^{\circ}$

$\angle T=3(30)-13=73^{\circ}$

$\angle R=\angle W=63^{\circ}$

When two triangles are congruent then each part of one triangle is congruent to its corresponding parts of another triangle.

Therefore, if $\triangle RST\cong \triangle WXY$

Then, $\angle S\cong \angle X, \angle T\cong \angle Y$

Therefore, $\angle Y=73^{\circ}$

$\angle X=40^{\circ}$

$\angle X=2(30)-20=40^{\circ}$

Hence, option C is correct.

4 0

4 years ago

Read 2 more answers

Solving With Substitution (FOR 10 POINTS!):<br> y= 2x + 1<br> 3x + y = -9

Katen [24]

Answer:

$y = 2x + 1 \\ 3x + y = \: - 9 \\ \\ 3x + 2x + 1 = - 9 \\ 5x = - 10 \\ x = - 2 \\ \\ y = 2( - 2) + 1 \\ y = - 3 \\ ( - 2 \: and \: - 3)$

8 0

3 years ago

If a recipe requires 1/4 pounds of ground beef

erica [24]

Answer:

36 servings

Step-by-step explanation:

1/4p = 6s

6(1/4p) = 6(6s)

1 1/2p = 36s

4 0

3 years ago

4 of 8<br> Write 8 as a product of three primes.

Rufina [12.5K]

Answer:

2 × 2 × 2

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is 2x=10 simplified?

m_a_m_a [10]

Answer:

x=5

Step-by-step explanation:

2x=10

Divide each side by 2

2x/2 = 10/2

x = 5

5 0

3 years ago