Answer:
I would pick the letter C
Step-by-step explanation:
3*5=15 15*8=120 Answer: 120m
Answer:
1st ∡ = 15.5°
2nd ∡ = 77.25°
3rd ∡ = 87.25°
Step-by-step explanation:
1st ∡: x
2nd ∡: y
3rd ∡: z
Equations we can create from data given in problem:
y + z = 5x
z = 5x + 10
We have enough expressions to create an equation:
x + 5x + 5x + 10 = 180
11x = 170
x = 15.5
y = 5(15.5) = 77.25
z = y + 10 = 87.25
Answer: ∠ J = 62° , ∠ K = 59° , ∠ L = 59°
<u>Step-by-step explanation:</u>
It is given that it is an Isosceles Triangle, where L J ≅ K J
It follows that ∠ K ≅ ∠ L
⇒ 5x + 24 = 4x + 31
⇒ x + 24 = 31
⇒ x = 7
Input the x-value into either equation to solve for ∠ K & ∠ L:
∠ K = 5x + 24
= 5(7) + 24
= 35 + 24
= 59
∠ K ≅ ∠ L ⇒ ∠ L = 59
Next, find the value of ∠ J:
∠ J + ∠ K + ∠ L = 180 Triangle Sum Theorem
∠ J + 59 + 59 = 180
∠ J + 118 = 180
∠ J = 62
Answer:
10 mph
Step-by-step explanation:
speed of boat in still water = x
speed of current = 5
speed of boat with current (downstream) = x + 5
speed of boat against current (upstream) = x - 5
distance downstream = 9
distance upstream = 3
time = t
speed = distance/time
distance = speed × time
downstream:
9 = (x + 5)t
upstream:
3 = (x - 5)t
9 = xt + 5t
3 = xt - 5t
9 = xt + 5t
-3 = -xt + 5t
-----------------
6 = 10t
t = 0.6
9 = (x + 5)0.6
15 = x + 5
x = 10
