Options
A. UV = 14 ft and m∠TUV = 45°
B. TU = 26 ft
C. m∠STU = 37° and m∠VTU = 37°
D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°
E. m∠UST = 98° and m ∠TUV = 45°
Answer:
A. UV = 14 ft and m∠TUV = 45°
D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Step-by-step explanation:
Given
See attachment for triangle
Required
What proves that: ΔSTU ≅ ΔVTU using SAS
To prove their similarity, we must check the corresponding sides and angles of both triangles
First:
must equal 
So:

Next:
UV must equal US.
So:

Also:
ST must equal VT
So:

Lastly
must equal 
So:

Hence: Options A and D are correct
She bikes 761.25 miles in all to and from her job in 29 weeks.
Step-by-step explanation:
Distance from her house = 2.625 miles
As this is the distance of one side, she covers same distance for coming back.
Total distance for one day = 2.625 + 2.625 = 5.25 miles
She goes to work for 5 days per week.
29 weeks = 
Total distance covered in 29 weeks;
Total distance = Distance for one day * Days in 29 weeks

She bikes 761.25 miles in all to and from her job in 29 weeks.
Keywords: multiplication, distance
Learn more about multiplication at:
#LearnwithBrainly
Answer:
The answer is below
Step-by-step explanation:
What we should do is the following:
First, from the random sample of 852 researchers, it is necessary to obtain the number of adult residents who consumed alcohol in the past year.
After the above, we must calculate the proportion of adult residents who consumed alcohol in the last year by dividing the number of adult residents who consumed alcohol in the last year by 852.
After this, we must compare if the proportion is exactly 70% or different from it.
We have the following hypotheses:
Null Hypothesis: The proportion of adult residents who consumed alcohol in the last year in the state of Wisconsin is exactly 70%
Alternative hypothesis: The proportion of adult residents who consumed alcohol in the last year in the state of Wisconsin is not equal to 70%