7x + 5 = 2x - 35
=> 7x - 2x = - 35 - 5
=> x( 7 - 2 ) = - ( 35 + 5 )
=> x( 5 ) = - ( 40 )
=> x × 5 = - 40
x = 5
Therefore the value of x in the given equation 5
Answer:
12 units³
Step-by-step explanation:
original volume of box = 120 units³
If the box if it is scaled down by a factor of 1/10, then we multiply the original volume by 1/10:
120 x (1/10) = 120 ÷ 10 = 12 units³
Answer:
Angles are 
Step-by-step explanation:
Let the angles be 
One fifth of sum of two angles is 24
The difference is 
Problem 24
<h3>Answer: w = 120</h3>
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Work Shown:
We have an isosceles triangle. The angles opposite the congruent sides are congruent. These are the base angles each 30 degrees. The missing angle is w. The three angles add to 180
(angle1)+(angle2)+(angle3) = 180
30+30+w = 180
60+w = 180
60+w-60 = 180-60 ... subtract 60 from both sides
w = 120
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Problem 25
<h3>Answers:</h3><h3>x = 6.5</h3><h3>y = 5</h3>
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Work Shown:
The angle marks are all the same, so the three angles are congruent to one another. We consider this an equiangular triangle. Any equiangular triangle is also equilateral, meaning all three sides are the same length.
So,
2x-5 = 8
2x-5+5 = 8+5 ... add 5 to both sides
2x = 13
2x/2 = 13/2 ... divide both sides by 2
x = 6.5
and also,
y+3 = 8
y+3-3 = 8-3 ... subtract 3 from both sides
y = 5
