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borishaifa [10]
3 years ago
7

The  length of a rectangle is 2 less than twice its width. The area is 144 squared centimeters. Which quadratic equation in

standard form correctly models the situation, where w represents the width of the rectangle

Mathematics
2 answers:
Lelechka [254]3 years ago
8 0

Answer:

w² - w - 72 = 0

Step-by-step explanation:

l = 2w - 2

A = 144

A = l * w

A = (2w - 2)w

144 = 2w² - 2w

0 = 2w² - 2w - 144

2w² - 2w - 144 = 0 (divide all by 2)

w² - w - 72 = 0

ycow [4]3 years ago
4 0

Answer:

W^2-W-72=0

Step-by-step explanation:

L=2W-2

A=(2W-2)W

2W^2-2W-144=0 divide by 2

W^2-W-72=0

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1) Which is the measure of ∠A?
s344n2d4d5 [400]

Answer:

Part 1) Option A) 93°

Part 2) Option B) 138°

Part 3) Option A) 42°

Part 4) Option A) 21

Part 5) Option A) 54°

Step-by-step explanation:

Part 1) Which is the measure of ∠A?

see the attached figure N 1

we know that

m∠A+87°=180° -----> by supplementary angles (form a linear pair)

so

m∠A=180°-87°=93°

Part 2) Which is the measure of ∠C?

see the attached figure N 2

we know that

m∠C+42°=180° -----> by supplementary angles (form a linear pair)

so

m∠C=180°-42°=138°

Part 3) Which is the measure of ∠B?

see the attached figure N 3

we know that

m∠B and 42° are vertical angles

Remember that the vertical angles are a pair of congruent angles

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m∠B=42°

Part 4) Find the value of x

see the attached figure N 4

we know that

64° and (3x+1)° are vertical angles

Remember that the vertical angles are a pair of congruent angles

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64°=(3x+1)°

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Part 5) Find the measure for ∠MQX

see the attached figure N 5

we know that

(3a+39)° and (5a+29)° are vertical angles

Remember that the vertical angles are a pair of congruent angles

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(3a+39)°=(5a+29)°

Solve for a

5a-3a=39-29

2a=10

a=5

Find the measure of ∠MQX

m∠MQX=(3a+39)°

substitute the value of a

m∠MQX=3(5)+39=54°

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