Answer:
Step-by-step explanation:
3(a+3)-6=21
<=>3a+9-6=21
<=>3a+3=21
<=>3a=18
<=>a=6
Answer:
Step-by-step explanation:
c
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
Answer:
D. a(b+c) = ab+ac
Step-by-step explanation:
When you distribute you multiply the number before the parenthesis by both of the numbers inside the parenthesis
Answer: Choice B) SAS
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Explanation:
The sides that have the double tickmarks are the same length. This forms one "S" of "SAS".
The square angles are 90 degree angles, or right angles. They are congruent. This forms the "A" of "SAS".
The overlapping sides are the same length, which forms the second "S" of "SAS".
The angle is between the two sides allowing us to use SAS. The order is important.
