Answer:
x=5
Step-by-step explanation:
From this information we know that,

Hope it helps :)
<h3>
Answers:</h3>
- ST = 23
- RU = 8
- SV = 5
- SU = 10
====================================================
Explanation:
Focus on triangles SVT and UVT.
They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.
Since the triangles are the same, just mirrored, this means ST = UT = 23.
-----------------------
Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.
Therefore, RS = RU = 8
-----------------------
SV = VU = 5 because RT bisects SU.
Bisect means to cut in half. The two smaller pieces are equal.
-----------------------
SU = SV + VU = 5+5 = 10
Refer to the segment addition postulate.
Answer: $ 18681.45
Step-by-step explanation:
Given: Future value : 
The rate of interest : 
The number of time period : 
The formula to calculate the future value is given by :-
, where P is the initial amount deposited.

Hence, the lump that must be deposit today : $ 18681.45
Answer:
No
Step-by-step explanation:
There is no meaningful difference between the two mean monthly temperatures. Since the two MADs are 15 degrees and 13.7 degrees, there is no meaningful difference.
Answer:
The lower bound for a 90% confidence interval is 0.2033.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The lower bound for a 90% confidence interval is 0.2033.