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3 years ago

What value of x makes this equation true?

Mathematics

2 answers:

Umnica [9.8K]3 years ago

5 0

Answer:

x = 7/5 is your answer

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 3x to both sides.

Step 3: Add 15 to both sides.

Step 4: Divide both sides by 15.

Andreas93 [3]3 years ago

4 0

Answer:7/5 is the correct answer.

Step-by-step explanation:

Because..

If we put x=7/5 in above equation..

12 (7/5)-15 =6-3 (7/5)

84/5-15=6-21/5

84/5-75/5=30-21/5

9/5=9/5

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The legs of the drafting table form vertical angles. Find the measures of ∠1, ∠2 and ∠3.

Leviafan [203]

Answer:

m∡1 = 95°

m∡2 = 85°

m∡3 = 95°

Step-by-step explanation:

m∡1 + 85 = 180; m∡1 = 95°

m∡2 = 85° because it is vertical and congruent to the angle measured 85°

m∡3 = m∡1 = 95° because they are vertical and congruent

4 0

3 years ago

Read 2 more answers

Solve: 2x+7/5 - x-3/10 = x+1/15<br>find the value of x and verify the result will RHS

choli [55]

Step-by-step explanation:

<h3><u>Given Question :- </u></h3>

Solve for x :-

$\dfrac{2x + 7}{5} - \dfrac{x - 3}{10} = \dfrac{x + 1}{15}$

$\red{\large\underline{\sf{Solution-}}}$

Given linear equation is

$\rm :\longmapsto\: \dfrac{2x + 7}{5} - \dfrac{x - 3}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{2(2x + 7) - (x - 3)}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{4x + 14 - x + 3}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{(4x - x) + (14 + 3)}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{3x + 17}{10} = \dfrac{x + 1}{15}$

On multiply by 5 on both sides,

$\rm :\longmapsto\: \dfrac{3x + 17}{2} = \dfrac{x + 1}{3}$

On cross multiplication, we get

$\rm :\longmapsto\:3(3x + 17) = 2(x + 1)$

$\rm :\longmapsto\:9x +51 = 2x + 2$

$\rm :\longmapsto\:9x - 2x = 2 - 51$

$\rm :\longmapsto\:7x = - 49$

$\bf\implies \:x = - 7$

<h3><u>VERIFICATION</u></h3>

Consider, LHS

$\red{\rm :\longmapsto\: \dfrac{2x + 7}{5} - \dfrac{x - 3}{10}}$

On substituting the value of x, we get

$\red{\rm \: = \: \dfrac{2( - 7) + 7}{5} - \dfrac{ - 7 - 3}{10}}$

$\red{\rm \: = \: \dfrac{ - 14 + 7}{5} - \dfrac{ - 10}{10}}$

$\red{\rm \: = \: \dfrac{ - 7}{5} + 1}$

$\red{\rm \: = \: \dfrac{ - 7 + 5}{5}}$

$\red{\rm \: = \: \dfrac{ - 2}{5}}$

Consider RHS

$\green{\rm :\longmapsto\:\dfrac{x + 1}{15}}$

On substituting the value of x, we get

$\green{\rm \: = \: \dfrac{ - 7 + 1}{15}}$

$\green{\rm \: = \: \dfrac{ - 6}{15}}$

$\green{\rm \: = \: \dfrac{ - 2}{5}}$

$\rm \implies\:LHS=RHS$

HENCE, VERIFIED

5 0

3 years ago

Read 2 more answers

Maria says if I multiply the current temperature by 4 and then subtract 40 the results is the same as 3 times the current temper

astra-53 [7]

Answer:

No, Richard is incorrect, the current temperature is 40 degrees.

Step-by-step explanation:

4x-40=3x

4x-3x=40

x=40

4 0

3 years ago

The length of a rectangle is double its width. The perimeter of the rectangle is 36 feet. What is the area, in square

hjlf

Answer:

72 square feet

Step-by-step explanation:

the length is 12 and the width is 6. 12+12=24 and 6+6=12. 24+12=36

so 12x6= 72

3 0

3 years ago

Read 2 more answers

6x square +11x-10 <br>Factories

vova2212 [387]

Answer:

(2x+5)(3x-2)

Step-by-step explanation:

6x²+11x-10

6x²+15x-4x-10

3x(2x+5)-2(2x+5)

(2x+5)(3x-2)

7 0

3 years ago