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
Answer: 500 miles
Step-by-step explanation:
Given : Sergio and Lizeth have planned to rent a car from a company that charges $75 a week plus $0.25 a mile.
i.e. Fixed charge= $75
Rate per mile = $0.25
Let x denotes the number of miles.
Then, Total charges = Fixed charge+ Rate per mile x No. of miles traveled
= $75+ $0.25x
To keep budget within $200, we have following equation.

Hence, they can travel 500 miles and still keep within their $200 budget.
Answer:
2/5
Step-by-step explanation:
Picking 4 cards out of 10, and as a fraction, it would be 2/5
Answer:

Step-by-step explanation:
The product of a binomial and a trinomial is

we have to simplify that

bringing the like terms together we get



hence our expression becomes

Log(x/7300000000) = 5.6 so
<span>x/7300000000 = 10^5.8 = 398107.17 </span>
<span>x = 2.9061823 x 10^15 </span>