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Setler [38]
3 years ago
6

PLEASE HELP! solve for x and then find measure for angle b

Mathematics
2 answers:
borishaifa [10]3 years ago
5 0
The answer to this problem is x=12
Bezzdna [24]3 years ago
4 0
<h3>Answers:</h3><h3>x = 12</h3><h3>Angle B = 45 degrees</h3>

===========================================================

Explanation:

Angles A and B are alternate exterior angles.

Due to the parallel lines, alternate exterior angles are congruent

A = B

5x-15 = 2x+21

5x-2x = 21+15

3x = 36

x = 36/3

x = 12

Use this x value to find the measure of angle B

angle B = 2x+21

angle B = 2*12+21

angle B = 24+21

angle B = 45 degrees

As a check,

angle A = 5x-15

angle A = 5*12+15

angle A = 60-15

angle A = 45 degrees

Since A and B are both 45 degrees, this confirms the correct x value

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When f(n)=12 what is the value of n ​
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Read 2 more answers
How is the equation on the top equivalent to 3. Show 5 steps on how you did it.
Sloan [31]

(9)^4 × (27)^3 × (81)^2 / (3)^24 = 3.

Explanation:

  • All the numbers in the numerator i.e. 9, 27, 81 are multiples of 3.
  • 9 = 3 × 3 = 3², 27 = 3 × 3 × 3 = 3³, 81 = 3 × 3 × 3 × 3 = 3^{4}.
  • 9^{4} = (3^2)^4, 27³ = (3^3)^3, 81^2 = (3^4)^2.
  • According to the power rule, (a^x)^y = a^xy.
  • So the given numbers can be written as follows                                                         9^{4} = 3^8, 27³ = 3^9 and 81² = 3^8.
  • According to the product rule, (a^x) × (a^y) = a^xy.
  • So the numerator can be written as                                                                             9^{4} × 27³ × 81² = (3^8) × (3^9) × (3^8) = 3^(8+9+8) = 3^25.
  • So the fraction becomes 3^25 / 3^24 = 3 × 3^24 / 3^24 = 3.

4 0
3 years ago
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