The second answer is 4 times as small as the first
Answer:
angle C =160 degree
Step-by-step explanation:
since the given triangle is an isosceles triangle their base angles must be equal. So,
x - 10 =x/2
2(x - 10) =x
2x - 20 = x
2x - x = 20
x = 20
for angle B
x - 10
20 - 10
10 degree
for angle A
x/2
20/2
10
For angle c
angle A + angle B + angle C =180 degree (sum of interior angle of a triangle)
10 + 10 + angle C =180
20 + angle C =180
angle C =180 - 20
angle C =160 degree
Answer:
(16x + 21) and (16x - 6)
Step-by-step explanation:
f(g(x)) = f(6 + 4x)
Applying the f(x) function on (6 + 4x) gives
4(6 + 4x) - 3
Which equals 16x + 24 - 3
= 16x + 21
g(f(x)) = g(4x - 3)
Applying the g(x) function on (4x - 3) gives
6 + 4(4x - 3)
Which equals 6 + 16x - 12
= 16x - 6
Answer:
20√3 cm
Step-by-step explanation:
Altitude of an equilateral triangle splits it into 2 equal right triangles, it bisects the base and the angle opposite to the base.
<u>Let the altitude be x. Then as per Pythagorean theorem:</u>
- x² = 40² - (40/2)²
- x²= 1600 -400
- x²= 1200
- x= √1200
- x= 20√3 cm
<u>Correct choice is</u> the second one
