Answer:
60°
please look into the solution down here.
Step-by-step explanation:
since BD bisects it, then the angles should be bisected symmetrically, or in other words, ANGLE ABD = angle DBC,
hence,
4x = 2x +30
2x = 30
x = 15
therefore, angle DBC = 2x + 30 = 2(15) + 30 = 60°.
Answer:
GIVE BRAINLIEST PLZ
I DONT NEED THNX
x = -15
Step-by-step explanation:
1) Four times sum of a number and 10
4(x + 10)
2) is equal to 100 added to 8 times the number
4(x+10) = 8x + 100
x + 10 = 2x + 25
-15 = x
Answer:
x = ±
- 2
Step-by-step explanation:
x² + 4x = 4
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 4 + 4
(x + 2)² = 8 ( take square root of both sides )
x + 2 = ±
( subtract 2 from both sides )
x = ±
- 2
Answer:
x=6 2/3
Step-by-step explanation:
Ratio of DEF:ABC=5/3
8*5/3=13 1/3
x=6 2/3
Answer:
Step-by-step explanation:
- <em>Refer to attached. Point J, segment BJ and angle measures added.</em>
<u>Step 1, find BJ</u>
- BJ / AB = sin 20° ⇒ BJ = AB sin 20° ⇒ BJ = 600 sin 20° ≈ 205.2 ft
<u>Step 2, find BP</u>
- BJ/BP = cos 75° ⇒ BP = BJ / cos 75° ⇒ BP = 205.2/cos 75° ≈ 792.8 ft
<u>Step 3, find PQ</u>
- PQ/BP = sin 35° ⇒ PQ = BP sin 35° ⇒ PQ = 792.8 sin 35° ≈ 454.7 ft
<u>Step 4, find the elevation of peak P</u>
- Height above sea level = 6500 + 454.7 ≈ 6955 ft (rounded)