Answer:
85°
Step-by-step explanation:
m∠4 measures 85 degrees.
m∠4 and m∠5 are alternate interior angles.
The alternate interior angles theorem states that <u>all pairs of alternate interior angles are congruen</u>t, or equal.
m∠4 ≅ m∠5
So, m∠5 should also be 85° as well as m∠4.
Answer:
15
Step-by-step explanation:
because it's is 15 and you can add 15 5 times n get 75
Answer:
C
Step-by-step explanation:
The Triangle Angle Bisector theorem says that and angle bisector will divide the opposite side into 2 segments that are proportional to the other 2 sides of the triangle.
Thus, from the definition, we can say 28 and x is proportional to 14 and 8.
We can set up a ratio, cross multiply, and solve for x:
So the value of x is 16 and thus the correct answer is C
Answer:
The original side length of the square was 9 ft
Step-by-step explanation:
Consider that the square was initially of side length "x" (our unknown). Then the sides were all increased by 5 ft, and now the perimeter (addition of all four sides) of the square render 56 ft.
Let's write an equation that represents the addition of the four sides of this new rectangle, and set it equal to 56 ft. Then solve for the unknown "x":
Therefore, the original side of the square was 9 ft.