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Answer:
∠ 5 = 151°
Step-by-step explanation:
A linear pair are supplementary, that is sum to 180°
∠ 5 = 5 ∠ 6 + 6 , thus
∠ 5 + ∠ 6 = 180, that is
5 ∠ 6 + 6 + ∠ 6 = 180
6∠ 6 + 6 = 180 ( subtract 6 from both sides )
6 ∠ 6 = 174 ( divide both sides by 6 )
∠ 6 = 29°
Thus
∠ 5 = 180° - 29° = 151°
Answer:
Option (4)
Step-by-step explanation:
Equation that represents the depth Jalen can dive is,
S = 26M + 20
Here, S = Depth
M = Number of lessons
After 8 lessons he can dive,
S = 26×8 + 20
= 228 feet
Therefore, Option (4) will be the answer.
Answer:
Length= 19 yd
Width= 15 yd
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of all its sides.
Mathematically, it can be represented as below:

Define variables used:
Let the length and width of the rectangle be L and W yards respectively.
Form an equation:
Given that the length of the rectangle is 4 yards longer that the width,
L= W +4 -----(1)
Next, form another equation using information on the perimeter.
68= 2(L +W) -----(2)
Substitute equation (1) into (2):
68= 2(W +4 +W)
68= 2(2W +4)
Divide both sides by 2:
34= 2W +4
Subtract both sides by 4:
2W= 34 -4
2W= 30
Divide both sides by 2:
W= 30 ÷2
<u>W= 15</u>
Substitute W= 15 into (1):
L= 15 +4
<u>L= 19</u>
Therefore, the length and width of the rectangle is 19 and 15 yards respectively.
Additional:
For another question on perimeter of rectangle, check out: brainly.com/question/15528005
Answer:
Answer: 37/100 (B)
Step-by-step explanation:
3/10 + 7/100 = 30/100 + 7/100 = 37/100
First convert 3/10 to 30/100 (Multiply both numerator and denominator by 10). Then add.
Answer: 37/100 (B)