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3 years ago

What is the measure of angle x? Enter your answer in the box. m∠x= °

Mathematics

2 answers:

faltersainse [42]3 years ago

6 0

Answer:

Step-by-step explanation:

The sum of all the angles in any triangle is 180.

To find x, just add the other two angles and subtract the sum from 180.

37 + 82 = 119

180 - 119 = 61.

Therefore, the answer is 61 degrees.

Svetllana [295]3 years ago

4 0

Answer:

x = 61°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 2 given angles and subtract from 180 to find x

x = 180° - (82 + 37)° = 180° - 119° = 61°

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Combine the like terms to create an equivalent expression: −7−4p−(−5)

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Answer:

the answer is -4p-2

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3 years ago

Which expression represents the word phrase six decreased by one third of a number?

sergij07 [2.7K]

Answer: 6-1/3n

Step-by-step explanation:

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3 years ago

Find the product of (3.7 × 104) and 2.

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4 years ago

Read 2 more answers

An article presents a study of the failure pressures of roof panels. A sample of 15 panels constructed with 8-inch nail spacing

wariber [46]

Answer:

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject $H_0\ at\ 5%$ level of significance

Step-by-step explanation:

From the question we are told that:

Sample size 1 $n_1=15$

Spacing 1 $s_1=8$

Mean 1 $\=x_1=8.48$

Standard deviation 1 $\sigma_1=0.96 kPa$

Sample size 2 $n_2=16$

Spacing 2 $s_2=6$

Mean 1 $\=x_1=9.93$

Standard deviation 1 $\sigma_1=1.02 kPa$

Generally the hypothesis is mathematically given as

Null $H_0:\mu_1-\mu_2$

Alternative $H_a:\mu_1\mu_2$

Generally the equation for pooled estimate is mathematically given by

$S=\sqrt{\frac{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2}{n_1+n_2-2} }$

Therefore

$S=\sqrt{\frac{(15-1)0.96^2+(16-1)1.02^2}{15+15-2} }$

$S=0.9905$

Generally the equation for test statistics is mathematically given by

$t=\frac{\=x_1+\=x_2}{S\sqrt{\frac{1}{n _1}+\frac{1}{n_2}}}$

$t=\frac{\=8.48-9.93}{0.9905\sqrt{\frac{1}{15}+\frac{1}{15}}}$

$t=-4.00091$

Therefore From table

$P value=P(t_{15+15-2}=4.00091)$

$P value=0.00041918$

$P$

Therefore

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject $H_0\ at\ 5%$ level of significance

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3 years ago

Peter bought 5 pens and 8 pencils they cost him 13,25€. How much does one pencil and one Pen cost if the pencil 1,35€ cheaper th

Amanda [17]

Step-by-step explanation:

pen=1.35 + pencil......1

5pen+8pencil=13.5 calculate this for pen

pen=13.5-8pencil/5.....2 combine equation 1$2

6 0

3 years ago