The answer is D............
KT is twice the length of TM.
Multiply TM by 2:
TM = 2y +6
Now set KT and TM to equal and solve:
5y +3 = 2y +6
Subtract 3 from each side:
5y = 2y +3
Subtract 2y from each side:
3y = 3
Divide both sides by 3:
y = 3/3
y = 1
The answer is C.
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x + 7 + 4x + 2 + 90 = 180 , that is
9x + 99 = 180 ( subtract 99 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ACB = 4x + 2 = 4(9) + 2 = 36 + 2 = 38°
∠ BAC = 5x + 7 = 5(9) + 7 = 45 + 7 = 52°
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Since the triangles are congruent then corresponding angles are congruent , so
∠ B = ∠ E
6x + 10 = 70 ( subtract 10 from both sides )
6x = 60 ( divide both sides by 6 )
x = 10
