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a_sh-v [17]
2 years ago
12

Solve for x for this triangle (geometry)

Mathematics
1 answer:
Olegator [25]2 years ago
3 0

Answer:

x=60^{\circ}

Step-by-step explanation:

The are 180 degrees in a triangle and 180 degrees on a line. Therefore, call the third angle of the triangle y.

The following equation solves for y:

y+119=180,\\y=61^{\circ}

Solving for x:

x+59+61=180,\\x=\boxed{60^{\circ}}

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6 0
3 years ago
10 ft
Gnom [1K]

Answer:

105.12 feets

Step-by-step explanation:

From the figure x we can identify a rectangle and a semicircle :

Area of rectangle = Length * width

Area = 8 * 10 = 80 feet²

The Area of a semicircle = 1/2πr²

Radius, r = 8 /2 = 4 feets

A = 1/2 * 3.14 * 4²

A = 3.14 * 8

A = 25.12 feet²

Area of figure = 80 + 25.12 = 105.12 feets

4 0
3 years ago
Please help me out with this ​
UNO [17]

Step-by-step explanation:

45+90+x=180

135+x=180

x=180-135

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8 0
3 years ago
For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tail
bagirrra123 [75]

Answer:

Option B:

H_0: \mu = 22.1

H_a: \mu \neq 22.1

Classification:

The hypothesis test is Two-tailed.

Step-by-step explanation:

The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.

This means that the null hypothesis is that the mean is of 22.1 months, that is:

H_0: \mu = 22.1

A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.

At the alternate hypothesis, we test if this mean is different of 22.1, that is:

H_a: \mu \neq 22.1

Which means that the answer is given by option b).

Which of the following is the correct classification of the hypothesis test?

We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.

7 0
3 years ago
What rational numbers can be expressed as terminating decimals?
mafiozo [28]
The answer is B) 3/5
8 0
3 years ago
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