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2 years ago

Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.

Mathematics

1 answer:

natta225 [31]2 years ago

4 0

Answer:Yes they are equivalent.

Step-by-step explanation:

3/4a + 8 - 1/4a - 2 1/2(a + 12)

Combine like terms Distributive property

2/4a+6 1/2a+6

2/4=1/2 (simplify)

1/2+6=1/2+6

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laiz [17]

The given data is angle ∡RSU and angle ∡UST are complementary and

angle ∡RSU= 8k-1 and angle ∡UST = 7 (k-2)

The sum of the complementary angles is 90°

∡RSU + ∡UST = 90° => 8k-1 + 7 (k-2) = 90 => 8k-1+7k-14=90 => 15k - 15 = 90 => 15k = 90+15 => 15k = 107 => k= 105/15 = 7° then

∡RSU= 8k-1= 8*7-1= 55°

∡UST= 7 (k-2)= 7 (7-2)= 7*5= 35°

The correct answer is ∡RSU= 55° and ∡UST= 35°

Good luck!!!

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2 years ago

At the bank of a river, by measurement, a = 9 ft., b = 15 ft., c = 12 ft., and d = 7 ft.How long is x?

Orlov [11]

Answer: x is 20

Step-by-step explanation:

This is ratio

a : c = b : x and d : unknown

a : c = 9 : 12 = 3 : 4 which is 9/12

b : x = 15 : x which is 15 / x

So the proportion will be :

3/4 = 15/x

So Cross multiplying

3x = 90

Divide both side by 3

x = 90/3

x = 20

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3 years ago

8x-3y=5 I need this awnser

frutty [35]

Go too math websites!

8 0

2 years ago

Read 2 more answers

Find the perimeter of the quadrilateral.

levacccp [35]

Question:

Find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.

The complete figure of this question is attached below

Answer:

<h3>The perimeter of the quadrilateral is 129 inches</h3>

Solution:

The complete figure of this question is attached below

Given that, a quadrilateral with,

Side lengths are:

$4x^2 + 8x\ inches \\\\3x^2-5x+20\ inches \\\\7x + 30\ inches \\\\31\ inches$

The values of the side lengths when x = 2 are

$(4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch$

Perimeter of a quadrilateral = Sum of its sides

Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches

Thus perimeter of the quadrilateral is 129 inches

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2 years ago

ASAP!!! Graphic DesignWorks purchased $15,000 worth of computers in 2005.

sergeinik [125]

Answer:

D. $3000

Step-by-step explanation:

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2 years ago

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Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.￼

Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.