Let the smaller angle = x
Larger angle = x + 10
They add up to 180
x + x + 10 = 180
2x + 10 = 180
2x = 170
x = 85
x = 85
x + 10 = 95
Answer: The angles are 85° and 95°
Answer:
D. {-2, -3, 12, 8, 4, −5}
Step-by-step explanation:
The domain is the set of x coordinates, so the answer is {-2, -3, 12, 8, 4, −5}.
Answer:
12 m
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh . . . . . b represents the base; h represents the height
We are told that the height is 5 m less than the base, so we have ...
42 = (1/2)(b)(b -5)
84 = b(b-5) . . . . . . . . multiply by 2
We want two factors of 84 that differ by 5. The factors are ...
84 = 1·84 = 2·42 = 3·28 = 4·21 = 6·14 = 7·12
The relevant factors are 7 and 12, so now we know b-5 = 7 and b = 12.
The length of the base is 12 m.
Answer:
k = 12
Step-by-step explanation:
-5/6k = -10
Multiply both sides by 6k
-5/6k x 6k= -10 x6k
simplify
-5 = -60k
Switch sides
-60k = -5
Divide both sides by -60
-60k/-60 = -5/-60
Simplify to get your answer of
1/12 or 12
If you have any questions revolving around this topic,feel free to ask me :)
Answer:
The width of the confidence interval decreases.
Step-by-step explanation:
In a normal distribution, if the confidence level is decreased while the sample size remains the same, the confidence interval for the population mean narrows. Since the certainty required is lower, the interval can be narrowed towards a central point, which is the calculated sample mean.
Therefore, the width of the confidence interval decreases.