Answer:
m∠ABE = 27°
Step-by-step explanation:
* Lets look to the figure to solve the problem
- AC is a line
- Ray BF intersects the line AC at B
- Ray BF ⊥ line AC
∴ ∠ABF and ∠CBF are right angles
∴ m∠ABF = m∠CBF = 90°
- Rays BE and BD intersect the line AC at B
∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure
∴ BE is the bisector of angle ABD
∵ m∠EBF = 117°
∵ m∠EBF = m∠ABE + m∠ABF
∵ m∠ABF = 90°
∴ 117° = m∠ABE + 90°
- Subtract 90 from both sides
∴ m∠ABE = 27°
Answer: 3 boxes
Step-by-step explanation:
If each box is 12, 3 Times 12 is 36 plus the 2 for each box gives you 42
Answer:
The correct answer is first option. 204 m²
Step-by-step explanation:
Formula:-
Lateral surface area of square pyramid = 4 * area of triangle
<u>To find the slant height of triangle(l)</u>
l = √(6² + 6²) = 6√2
To find the area of triangle
Area = bh/2
b = 12 m
h = 6√2
Area = (12 * 6√2)/2 = 36√2
<u>To find the lateral surface area of Prism</u>
Lateral surface area of square pyramid = 4 * area of triangle
= 36√2 * 4 = 203.64 ≈ 204 m²
First answer is the correct option
Answer:
4
Step-by-step explanation:
Here you find the greatest common factor of 16,20 and 24
The greatest common factor of a set of whole numbers is the largest positive integer that divides evenly into all numbers with no remainder.
Here, the G.C.F will be
16 20 24
2 8 10 12
2 4 5 6
2×2=4
