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Answers:</h3><h3>
x = 12</h3><h3>
Angle B = 45 degrees</h3>
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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
Answer:
23°
Step-by-step explanation:
The total of the angles in a triangle add up to 180°.
Our equation here is 62 + 95 + z = 180
Lets find what 62 + 95 is: 62 + 95 = 157
Then we can find the remainder (157 + x = 180). 180 - 157 = 23°
Therefore the missing angle (z) is 23°
(x² -5x+4) / ,(x-1). ,=. (,x-1)(x,-4) ,/ (x-1)
= (x-4)
Answer:
(A) -8
Step-by-step explanation:
∆=b^2 -4ac= (-4)^2-4(2)(3)= -8
Since discriminant<0, then the equation has no roots.
Answer:
S/2πr-r = h
Step-by-step explanation:
S = 2πr(h + r)
S/2πr = h+r
S/2πr - r = h
