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3 years ago

PLEASE HELP!!!! What are the missing angles ?

Mathematics

2 answers:

miss Akunina [59]3 years ago

6 0

Answer:

The answer for the first picture is 84

The answer for the second picture is 36

Step-by-step explanation:

The first triangle is a isosceles triangle which means that two angle lengths must be the same. We use the only angle measurement which is 48 and subtract it from 180 twice because there are two angles lengths that are the same, once we subtract from 180 we have 84. The same process is followed for the second triangle.

180-48-48=84

Second Triangle:

180-72-72=36

Harlamova29_29 [7]3 years ago

3 0

Answer:

The first angle is 84

The second angle is 36

Step-by-step explanation:

The two sides are the same length, so it is an isosceles triangle.

The sides are the same so the angles at the base are the same

The three angles of a triangle add to 180 degrees

48+48+x = 180

Combine like terms

96+x= 180

Subtract 96 from each side

96-96+x= 180-96

x =84

The unknown angle is 84

The two sides are the same length, so it is an isosceles triangle.

The sides are the same so the angles at the base are the same

The three angles of a triangle add to 180 degrees

72+72+x = 180

Combine like terms

144+x= 180

Subtract 144 from each side

144-144+x= 180-144

x =36

The unknown angle is 36

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3 years ago

Find the angles of the triangle, if the midpoint of one of its bisectors coincides with the midpoint of the segment connecting f

Mumz [18]

Answer:

all are 60°

Step-by-step explanation:

The midpoints of the angle bisector and the foot of the median will lie on the midsegment of the triangle. In order for the foot of the altitude to lie on that same midsegment, the altitude must be a median.

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3 years ago

A car is advertised as having a gas mileage rating of at least 30 miles/gallon in highway driving. Suppose the miles per gallon

Aliun [14]

Answer:

We conclude that the car have mileage rating less than 30 miles per gallon.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 miles/gallon

Sample:

26, 24, 20, 25, 27, 25, 28, 30, 26, 33

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{264}{10} = 26.4$

Sum of squares of differences = 110.4

$S.D = \sqrt{\frac{110.4}{9}} = 3.50$

Sample size, n = 10

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

$H_{0}: \mu \geq 30\text{ miles per gallon}\\H_A: \mu < 30\text{ miles per gallon}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{26.4 - 30}{\frac{3.50}{\sqrt{10}} } = -3.25$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } =-1.833$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it.

We conclude that the car have mileage rating less than 30 miles per gallon.

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3 years ago

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ElenaW [278]

Answer:

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Step-by-step explanation:

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