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:
1.79553
Step-by-step explanation:
Step 1: Write expression
log₁₀(√(69.5² - 30.5²))
Step 2: Evaluate square root
log(√(4830.25 - 930.25))
log(√3900)
log(62.45)
Step 3: Find log
log₁₀ (or log)
log(62.45) = 1.79553
-------------------------------------
To use the table method. we find values that are easily evaluated by log₁₀
log₁₀(10) = 1
log₁₀(50) = 1.69897
log₁₀(100) = 2
So we know that log₁₀(62.45) is between 1 and 2 and greater that 1.69897.
Answer:
cc
Step-by-step explanation:
cc
The correct answer is c. 16.6
Explain
The triangle left side
Opposite side= hypotheses x sin 0
Plugin
Opposite side = 39 x sin 43
39 x 0.68
26.60
The right side
Opposite side = adjective side x tan0
Opposite side = 26.60 x tan 32
26.60 x 0.62
X= 16.6
Hope this help you :D
