Answer:
angle 3 + angle 5 = 180°( co-interior angles)
120°+6x=180°
6x=60°
x=10°
therefore, angle 5= 6x=6×10°=60°
Answer:
B. DE = 58
Step-by-step explanation:
The base angles (<F and <E) of the ∆DEF are congruent/equal. This means that ∆DEF is an isosceles triangle.
This implies that, the two sides (DF and DE) that are opposite to the base angles are congruent/equal.
DE = 40 (given) => option B is INCORRECT
Therefore:
8x - 24 = 40
Solve for x
8x - 24 + 24 = 40 + 24
8x = 64
8x/8 = 64/8
x = 8 (option C is CORRECT)
Let's find DF and FE:
DF = 8x - 24
Plug in the value of x
DF = 8(8) - 24
DF = 64 - 24
DF = 40 (Option D is CORRECT)
FE = 6x + 10
FE = 6(8) + 10
FE = 48 + 10
FE = 58 (Option A is CORRECT)
The only incorrect statement is:
B. DE = 58
The correct answer for this question is this one: "C. 49:81"
There exists the same question from other source with the figure.
<span>The figure shows corresponding lengths in two similar figures. The ratio of the perimeters of the two figures is </span><u>49:81</u>
Hope this helps answer your question and have a nice day ahead.
8. nm , 7y , 2t
9. 3p/6 , 7(v+q) , 136z
10. 21 , 63 , 42 (the last one is cut off)
11. 36 , 84 , 32 , 81