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wariber [46]
3 years ago
11

Answer correctly !!! will mark Brianliest pleaseeeeeee

Mathematics
2 answers:
timurjin [86]3 years ago
5 0

Answer:

20 degrees

Step-by-step explanation:

The equal sign with a tilde signifies that line segment FG and segment HF are congruent. If two sides of a triangle are congruent, then the triangle is an isosceles triangle. It then provides the top angle at F where the two congruent sides meet, which is 140 degrees. In an isosceles triangle, the angles between one congruent side and a non-congruent side are equivalent angle measures, meaning that to find the measure of angle H, you simply have to subtract 140 from 180 then divide that quantity by 2 for the measure of one of the two congruent angles, in this case equaling 20 degrees.

Verizon [17]3 years ago
4 0

Answer:

20 degrees

Step-by-step explanation:

First, draw the triangle and label the sides and angles. (See the picture attached)

The red lines on sides FG and HF indicate that the sides are congruent since this is an isosceles triangle. Isosceles triangles have two congruent sides and angles.

All angles add up to 180 degrees. You were already given 140 for angle F. So, use to find angle h, subtract 140 from 180 and divide by 2.

180 - 140 = 40

40 / 2 = 20

Angle h is 20 degrees

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which proves that angle 2+4+7=90 degrees

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Answer:

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Step-by-step explanation:

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In 2008, the average household debt service ratio for homeowners was 13.2. The household debt service ratio is the ratio of debt
ankoles [38]

Answer:

t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436    

df=n-1=44-1=43  

p_v =P(t_{(43)}>1.436)=0.079  

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

Step-by-step explanation:

Information given

\bar X=13.88 represent the sample mean

s=3.14 represent the sample standard deviation

n=44 sample size  

\mu_o =13.2 represent the value that we want to test

\alpha=0.05 represent the significance level

t would represent the statistic (variable of interest)  

p_v represent the p value for the test

Hypothesis to test

We want to conduct a hypothesis in order to check if the true mean has increased from 2008 , and the system of hypothesi are:  

Null hypothesis:\mu \leq 13.2  

Alternative hypothesis:\mu > 13.2  

The statistic for this case is:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Calculating the statistic

Replacing the info given we got:

t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436    

P-value

The degrees of freedom are:

df=n-1=44-1=43  

Since is a right tailed test the p value is:  

p_v =P(t_{(43)}>1.436)=0.079  

Decision

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

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What whole number is equivalent to 16/1 ?
KiRa [710]
I think it is equivalent to 16
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