Answer:

Step-by-step explanation:
We are given the following in the question:

We have to prove:

Proof:

we can write:

Hence, the two triangle are congruent by SAS congruency rule.

The attached image shows the two triangle.
Answer:
7p(2p+3q)
Step-by-step explanation:
mark me as a brainlist answer
Answer:
Don't be afraid to fail. Perseverance comes from failing and getting back up. ...
Be 1% better every day. Having a growth mindset is a great way to increase perseverance and motivation. ...
Begin to take risks. ...
Understand resistance. ...
Exercise regularly. ...
Build a network of support. ...
Keep your goals in mind. ...
Set clear benchmarks.
Step-by-step explanation:
Hoped it helped :)
Answer:
The 90% confidence interval for population mean is 
Step-by-step explanation:
From the question we are told that
The sample mean is 
The confidence level is 
The sample size is 
The standard deviation
Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as


Next we obtain the critical value of
from the standardized normal distribution table. The values is 
The reason we are obtaining critical values for
instead of that of
is because
represents the area under the normal curve where the confidence level 1 -
(90%) did not cover which include both the left and right tail while
is just considering the area of one tail which is what we required calculate the margin of error
Generally the margin of error is mathematically evaluated as

substituting values


The 90% confidence level interval is mathematically represented as

substituting values



That is a scale factor of 1.