Answer:
Option (C)
Step-by-step explanation:
Given expression is 4(x + x + 7) - 2x + 8 - 4
When x = 1,
Value of the expression will be,
= 4(1 + 1 + 7) - 2(1) + 8 - 4
= 4(9) - 2 + 8 - 4
= 36 - 2 + 8 - 4
= 38
For x = 2,
= 4(2 + 2 + 7) -2(2) + 8 - 4
= 44 - 4 + 8 - 4
= 44
Now we will check the same for the given options.
Option (A). For x = 1,
6x + 11 = 6(1) + 11
= 17
For x = 2,
6x + 11 = 6(2) + 11
= 23
Option (B). For x = 1,
3(x + 7) = 3(1 + 7)
= 24
For x = 2,
3(x + 7) = 2(2 + 7)
= 18
Option (C), x = 1
2(3x + 16) = 2[3(1) + 16]
= 38
For x = 2,
2(3x + 16) = 2[3(2) + 16]
= 44
Option (D), For x = 1,
= 19
For x = 2,
2(3x + 16) = 2[3(2) + 16]
= 44
Since value of the expression for x = 1 and 2 matches with the value in option (C)
Therefore, Option (C) will be the answer.
Jeff can run 2/3 of a mile per hour
Answer:
1) x ≅ 51.34°
2) y ≅ 38.66°
Step-by-step explanation:
In the right triangle given in the figure
∵ The triangle has a right angle
∴ Angles x and y are acute angles and the sum of their measures is 90°
→ By using the trigonometry function tan
∵ tan(x) = opposite side to x/adjacent side to x
∵ The opposite side to x = 10
∵ The adjacent side to x = 8
→ Substitute them in the rule above
∴ tan(x) =
= ![\frac{5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D)
→ Use the inverse of tan to find x
∵ x =
(
)
∴ x = 51.34019175
∴ x ≅ 51.34°
∵ x + y = 90°
∴ 51.34 + y = 90
→ Subtract 51.34 from both sides
∴ y ≅ 38.66°
Answer:
2 3/4.
Step-by-step explanation:
Eliminate 1/2 from the side with w.
<u>Subtract 1/2 from both sides:</u>
![3\frac{1}{4} -\frac{1}{2} =\frac{1}{2} -\frac{1}{2} +w](https://tex.z-dn.net/?f=3%5Cfrac%7B1%7D%7B4%7D%20-%5Cfrac%7B1%7D%7B2%7D%20%3D%5Cfrac%7B1%7D%7B2%7D%20-%5Cfrac%7B1%7D%7B2%7D%20%2Bw)
![2\frac{3}{4} = w](https://tex.z-dn.net/?f=2%5Cfrac%7B3%7D%7B4%7D%20%3D%20w)