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3 years ago

7

The cost of a student ticket to the school play is $7. Write an equation that correctly relates the total cost, c, for a particu

lar number, s, of student tickets purchased. Identify the independent and dependent variables.

1 answer:

svp [43]3 years ago

8 0

The answer is:

c = 7s

The Independent Variable is: s
The Dependent Variable is: c

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What is a solution to (x + 6)(x + 2) = 60 A. x = −6 B. x = −4 C. x = 4 Dx = 12 brainly

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3 years ago

AB is congruent to DE because segment DE was constructed so that DE = AB. BC is congruent to EF because segment EF was construct

Alex Ar [27]

DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

<h3>Congruent shape</h3>

Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.

Given that DE = AB and BC = EF.

In right triangle DEF, using Pythagoras:

DF² = DE² + EF²

Also, In right triangle ABC, using Pythagoras:

AC² = AB² + BC²

But DE = AB and EF = BC, hence:

AC² = DE² + EF²

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Taking square root of both sides, hence:

AC = DF

Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

Find out more on Congruent shape at: brainly.com/question/11329400

6 0

3 years ago

NeTakaya

Answer:

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct

Step-by-step explanation:

step 1

Find the area of the base of the rectangular pyramid

we know that

The volume of the rectangular pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the base

H is the height of the pyramid

we have

$V=40\ units^{3}$

$H=6\ units$

substitute and solve for B

$40=\frac{1}{3}B(6)$

$120=B(6)$

$B=120/6=20\ units^{2}$

step 2

Find the volume of the rectangular prism with the same base area and height

we know that

The volume of the rectangular prism is equal to

$V=BH$

we have

$B=20\ units^{2}$

$H=6\ units$

substitute

$V=(20)(6)=120\ units^{3}$

therefore

The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct

3 0

4 years ago