Answer:
Step-by-step explanation:
The area of the floor A = Length * Width
Given
A = 200 square meters
If the length of the floor is 32 m longed than it’s width then;
L = 32+W
A = LW
200 = (32+W)W
200 = 32W + W²
W²+32W-200 = 0
W = -32±√32²+800/2
W = -32±42.71/2
W = -32+42.71/2
W = 10.71/2
W = 5.35 m
L = 32+5.35
L = 37.35m
Hence the dimension is 5.35ft by 37.35m
As shown in the given figure
line a // line b ⇒ given
MR and NP are transversals
So, for ΔMOP and ΔRON , we can conclude the following
(1) ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent
(2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent
(3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent
So, from 1,2 and 3
∴ ΔMOP <span>~ </span>ΔRON by AAA-Rule
Answer:
Step-by-step explanation:
Answer:
30
Firstly, identify all the pairs of vertically opposite angles. Vertically opposite angles are equal.
In this case,
AOC & DOB are vertically opposite angles so both of them are 2x°
EOD & COF are vertically opposite angles so they are both 3x°.
FOB & EOA are vertically opposite angles so they are both x°.
Adding the values of all 6 angles, we get:
3x + 3x + 2x + 2x + x + x = 12x
We also know that
12x = 360°
x = 30°
