Answer:
23°
Step-by-step explanation:
A complementary angle is 90°, so you can do 90°-67° =23°
Complimentary angles are 2 angles, when added, add up to 90 degrees. So when one angle = x, its complimentary angle = (90 - x)
the measure of an angle, lets call it x, is 8 times as great (means u multiply it by 8) as the measure of its compliment...
x = 8(90 - x)
x = 720 - 8x
x + 8x = 720
9x = 720
x = 720/9
x = 80 <=== the measure of the angle is 80 degrees
its compliment is 90 - x = 90 - 80 = 10
An exponential function is a function in which the independent variable is an exponent. Exponential functions have the general form y = f (x) = ax, where a > 0, a≠1, and x is any real number. The reason a > 0 is that if it is negative, the function is undefined for -1 < x < 1.
Image of the triangle is attached
Answer:
24 cm
Step-by-step explanation:
If two triangles are similar, the corresponding sides must be in the same ratio.
From the diagram, the height of the triangle is 36cm.
But the height of triangle ABE = h,
To find the height of triangle BCD, let's subtract the height of triangle ABE from 36cm.
Therefore.
Height of BCD = 36 - h.
Since the triangles are similar and their corresponding sides have the same ratio, we have the expression:
Substituting figures, we have:
Cross multiplying, we have:
20(36-h) = 10 * h
720 - 20h = 10h
720 = 10h + 20h
720 = 30h

h = 24 cm
Therefore, the height of triangle ABE is 24cm