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2 years ago

Find the missing angle measure in each triangle as acute, right or obtuse

Mathematics

2 answers:

bulgar [2K]2 years ago

7 0

Answer:

6. x = 53°

7. x = 120°

Step-by-step explanation:

I use the angle ABC method

6. angle ACB + angle BAC = 90°

37° + x = 90°

Substitute angle BAC = x. angle ACB = 37°

into angle ACB + angle BAC = 90°

x = 53°

7. angle ABC + ACB + BAC = 180°

x + 37° + 23° = 180°

Substitute angle ABC = x, angle BAC = 23°,

angle ACB = 37° into

angle ABC + angle ACB + angle BAC = 180°

x = 120°

8. 12.5 × 25 = 312.5 feet

Lena [83]2 years ago

6 0

Answer:

6. x=53 obtuse
7. x=120 obtuse

Step-by-step explanation:

To find x, you need to add up the angle measures you already have and subtract that sum from 180.

For example, on number 6 you have 37 and a right angle (that little box in the corner). That counts as 90, so its 90+37=127. Then, you subtract 180-127=53. That is how you get your answer.

Hope this helps <3

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3 years ago

Which number is in the solution set of the inequality 4x + 4 > 36

nata0808 [166]

Step-by-step explanation:

4x > 36-4

4x > 32 (divide both sides of the inequality by 4 )

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x > 8

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3 years ago

Andrea hiked 3 miles last week. She could have hiked two 1 and 1/2 mile trails. Describe two other combinations of trails she co

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3 years ago

Read 2 more answers

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millil

alekssr [168]

Answer: The actual height of train = 4.896 meters.

Step-by-step explanation:

Since we have given that

Lina has a scale model of a modern train

Model is created at a scale is given by

1:48

Height of the model train = 102 millimeters

We need to find the actual height of the train.

Since there is direct variation between model and actual height of the train.

According to question,

$\frac{1}{48}=\frac{102}{x}\\\\x=102\times 48\\\\x=4896\ millimeters\\\\x=4.896\ m$

Hence, the actual height of train = 4.896 meters.

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3 years ago

According to a recent survey, the population distribution of number of years of education for self-employed individuals in a c

creativ13 [48]

Answer:

a) X: number of years of education

b) Sample mean = 13.5, Sample standard deviation = 0.4

c) Sample mean = 13.5, Sample standard deviation = 0.2

d) Decrease the sample standard deviation

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 13.5 years

Standard deviation,σ = 2.8 years

a) random variable X

X: number of years of education

Central limit theorem:

If large random samples are drawn from population with mean $\mu$ and standard deviation $\sigma$ , then the distribution of sample mean will be normally distributed with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

b) mean and the standard for a random sample of size 49

$\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{49}} = 0.4$

c) mean and the standard for a random sample of size 196

$\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{196}} = 0.2$

d) Effect of increasing n

As the sample size increases, the standard error that is the sample standard deviation decreases. Thus, quadrupling sample size will half the standard deviation.

7 0

3 years ago