In the figure, PMQ, PNR, MOR and NOQ are straight lines. It is given that △PQN ≅ △PRM. Find x and y.

Mathematics

1 answer:

defon3 years ago

8 0

PRM +MPR+PMR=180。(angle sum of triangle)
70。+35。+PMR=180。
PMR=75。
x+PQR=180。(angle on straight line)
x=105。

MQO=QOM
QMO+2MQO=180。(angle sum of triangle)
105+2MQO=180。
MQO=37.5。

MQO+y+MPN=180。（angle sum of triangle)
37.5+70+y=180。
y=72.5

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A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean is x⎯⎯ = 770 and the

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Answer:

For α=0.01 and two-tailed test: t=2.8188

For α=0.025 and two-tailed test: t=2.4055

For α=0.05 and two-tailed test: t=2.0739

For α=0.10 and two-tailed test: t=1.7171

Step-by-step explanation:

In this problem, we have to estimate the value of the statistic "t" of a sample of size n=23 (22 degrees of freedom), in which the sample mean is M=770 and the sample standard deviation is s=25.

The estimated standard deviation is

$s_M=s/\sqrt{N}=25/\sqrt{23} =5.21$