PLEASEEE HELLPPP
2 answers:
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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:
The money he will save if he earns $120.00 is <u> $90.00</u>.
Step-by-step explanation:
Given:
In the figure is the ratio of the savings and the earnings.
Now, to find out that how much savings will be if Miguel earns $120.00.
We need to get the percentage of the ratio of the earning and saving.
So, according to the table:
If he earns $10.00 then he saves $7.50.
So, if Miguel earns $10.00 he save the 75% of it.
If he earns $50.00 then he saves $37.50.
As we calculate the percentage as the above process then the saving is 75% of the earning.
And, if he earns $150.00 and save $112.50 then it is also the 75% of the earning as mentioned above.
Now, to find the saving of the earning $120.00.
So, it will be 75% of the earning as we observe in the above case:
75% of $120.00
Therefore, the money he will save if he earns $120.00 is <u> $90.00</u>.