Answer:
1) D
2) D
Step-by-step explanation:
1. Use 360 - x˚ - y˚ - 117˚ - 62˚
2. Recognize that 1) can be either 62 or 63
3. Plug either number into x to get y
4. y = 118 when x = 63
Answer:
x ≈ - 1.3
Step-by-step explanation:
16x + 20 = 0
16x + 20 - 20 = 0 - 20
16x = - 20
16x ÷ 16 = - 20 ÷ 16
x = - 1.25
- 1.25 rounds to - 1.3
Answer:
x = 14
< A = 58 degrees
< B = 52 degrees
< C = 70 degrees
Step-by-step explanation:
Recall that the addition of the three internal angles of a triangle must render 180 degrees, then we can write:
<A + <B + <C = 180
and now replace with the algebraic expressions given for each angle:
2(x + 15) + 3 x + 10 + 5 x = 180
eliminate parenthesis
2 x + 30 + 3 x + 10 + 5 x = 180
combine like terms
10 x + 40 = 180
subtract 40 from both sides
10 x = 140
divide both sides y 10 to isolate x
x = 14
Now that we know x, we can calculate each of the angles using the fiven expressions:
< A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees
< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees
< C = 5 x = 5 * 14 = 70 degrees
Answer:
99% Confidence interval: (1196,1973)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 20
Mean, μ = 1584
Standard Deviation, σ = 607
99% Confidence interval:
Putting the values, we get,
Thus, there is a 99% chance that it will break in approximately 1196 to 1972
