Value of x when angles ABC and DBE are vertical angles where
M_ABC=(5x+ 5)° and m_DBE=(6x-3)° is 8°.
Vertical angles are complementary as there sum is 90°.
As given,
Part A:
Angles ABC and DBE are vertical angles m_ABC=(5x + 5)°
M¿DBE=(6x- 3)°
(5x+ 5\°=(6x - 31
=(6x - 5x)°=(5 +3)°
8°
Part B:
Vertical angles are complementary if there sum is 90°.
Here
m_ABC + m_DBE
5(8)+5 +6(8)-31°
= 90°
Answer:
Step-by-step explanation:
This is a 30°-60°-90° triangle, so its sides are in the ratio 1:√3:2
The side opposite the 90° angle is 11, so the side opposite the 30° angle is 11/2 = 5.5
x is opposite the 60° angle, so its length is 5.5√3 ≅ 9.5 units
Plug in 3 for x and 30 for y
5(3 + 8) + 3 + 30
Use PEMDAS
5(11) + 3 + 30
55 + 33
88
88 is your answer
hope this helps
First we will see how many quarts are in a gallon.
1 gallon = 4 quarts.
Now lets MULTIPLY to get our answer.
5 gallon = ? quarts
5 × 4 = 20
So, the cooler has 20 quarts or 5 gallons.
Hope I helped ya!!!!!!!
The answer would be 10.19m. If you want to round it of to a less precise
measurement it would be 10 m.
