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Snezhnost [94]
3 years ago
13

Given lines p and q are parallel, find the value of x that makes each diagram true.

Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer: for a the answer is 140° and for b x=25°

Step-by-step explanation:

for a, when you have 2 parallel lines cut by a transversal,the corresponding angles are congruent. and the angle140 is congruent to the corresponding angle as they are vertical angles are congruent.

for b, angle x is congruent to the angle that is supplementary to 155 therefore 180-155=25°

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1-0.15=0.85
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A sofa regularly sells for 860. The sale price is 670.80. Find the percent decrease of the sale price from the regular price
andre [41]

Answer:

-22%

Step-by-step explanation:

The percent decrease can be found by subtracting the original amount from the sale price. Divide the result by the original price and multiplying the decimal by 100 for the percent.

670.80 - 860 = -189.2

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3 years ago
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marin [14]
Answer:
Second choice: <span>It is possible for an obtuse angle to have both a complement and a supplement.
</span>
Explanation:
Let's examine the given choices:

First choice:
<span>It is possible for angles to be both vertical and complementary.
Vertical angles are equal angles.
Complementary angles means that the two angles add up to 90 degrees.
Two angles can be both vertical and complementary if the measure of each is 45. By this, the two angles are equal and their summation is 90 degrees.
Therefore, this statement is correct

Second choice:
</span><span>It is possible for an obtuse angle to have both a complement and a supplement.
</span>Complement angles means that their sum is 90 degrees.
Supplement angles means that their sum is 180 degrees.
Since the measure of an obtuse angle is greater than 90, therefore, it cannot have a complement.
Therefore, this statement is not correct

Third choice:
<span>It is possible for an acute angle to have both a complement and a supplement.
</span>Complement angles means that their sum is 90 degrees.
Supplement angles means that their sum is 180 degrees.
Since the measure of an acute angle is less than 90, therefore, it can have both a complement and a supplement.
Therefore, this statement is correct

Fourth choice:
<span>It is possible for angles to be both congruent and supplementary
</span>Congruent angles means that they are equal
Supplement angles means that they add up to 180 degrees.
Two angles can be both congruent and supplement if the measure of each is 90. By this, the two angles are equal and their summation is 180 degrees.
Therefore, this statement is correct

Based on the above, the only incorrect statement is the second choice.

Hope this helps :)
7 0
3 years ago
What is the perimeter of 2x + 5 + 6x -1
faltersainse [42]

Answer:

8x + 4

Step-by-step explanation:

Subtract the numbers: 2x + 5 + 6x - 1     2x + 4 + 6x

Then, you combine them like terms: 2x + 4 + 6x = 8x + 4

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3 years ago
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