Question

HELP NEEDED ASAP... 20 POINTS. WILL MARK BRAINLIEST!

Answer 1

1 is C
2 is b
3 is B
4 idrk
5 idk sorry hope i helped

Answer 2

Answer:

1). Option A

2). Option A

3). Option D

4). Option D

5). Option A

Step-by-step explanation:

1). Points B, D,are the midpoints of the sides of Δ ACE.

Side EC = 33 and DF = 20, then we have to find the length of AC.

Since ΔAEC and ΔEFD are similar,

so $\frac{EC}{ED}=\frac{AC}{FD}$

$\frac{2\timesED}{ED}=\frac{AC}{20}$ [Since D is the midpoint of EC]

AC = 2×20

AC = 40 units

Option A. is correct

2). In the give picture two triangles shown are similar.

Therefore, their respective sides will be in the same ratio.

$\frac{6x+2}{4x+36}=\frac{45}{90}$

$\frac{6x+2}{4x+36}=\frac{1}{2}$

2(6x + 2) = 4x + 36 [By cross multiplication]

12x + 4 = 4x + 36

12x - 4x = 36 - 4

8x = 32

x = (4×6 + 2)

x = 24 + 2

x = 26

Option A. is the answer

3). In the given picture, tree and building are parallel to each other.

Rope is a transverse to both the parallel lines.

Therefore, angle formed between the tree and rope is 48° will be equal to the angle between rope and the building because they are internal alternate angles.

Therefore, Option D. 48° will be the answer.

4). DF bisects ∠EDG. So by definition, opposite sides of these equal angles will be equal.

3x + 96 = 15x

15x - 3x = 96

12x = 96

x = 8

Option D. is correct.

5). E is equidistant from the sides of ∠HGF. We have to find the measure of ∠FGH.

Since EG is the bisector of ∠HGF, so ∠HGE ≅ ∠FGE

4x + 2 = 6x - 10

6x - 4x = 10 + 2

2x = 12

x = 6

And ∠HGF = (4x + 2) + (6x - 10)

                  = 10x - 8

By putting the value of x = 6

∠HGF = 10×6 - 8

          = 60 - 8

          = 52°

Option A. is correct.