Answer:
∠y=60°
Step-by-step explanation:
Question says to find the measure of the angle Y.
We have been given a picture of triangle XYZ. All angles are marked with same sign so that indicates that all three angles are equal.
∠x = ∠y = ∠z...(i)
We know that sum of all three angles of the triangle is always 180°.
So we can write:
∠x+∠y+∠z=180°
∠y+∠y+∠y=180° {using equation (i) }
3∠y=180°
divide both side by 3
∠y=60°
Hence final answer is the measure of angle y is 60 degree.
Y= 3x - 10
<span>3x + 2y = 16
3x+2(3x-10)=16
3x+6x-20=16
9x-20=16
9x=36
x=4
y=3x-10
y=3(4)-10
y=12-10
y=2</span>
Answer:
f(g(x))(-1) = 0
Step-by-step explanation:
Step 1: Find f(g(x))
5(x + 3) - 10
5x + 15 - 10
5x + 5
Step 2: Plug in -1
5(-1) + 5
-5 + 5
0
Answer:
0.19975
Step-by-step explanation:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
Given:
n = 11
r = 9
p = 0.7
q = 0.3
Plugging in values:
P = ₁₁C₉ (0.7⁹) (0.3¹¹⁻⁹)
P = 0.19975