Answer:
#11-13: 118 , 97 , 62
#7-10: 92 , 125 , 56 , 130
Step-by-step explanation:
#11. Supplementary angles (A + B = 180)
- (n + 7) + (3n - 47) = 180
- n = 55
- <ABC = 3(55) - 47 = 118 degrees
#12. Supplementary angles
- 83 + x = 180
- x = 97
- <ABC = 97 degrees
#13. Congruent angles (A = B)
- (8x - 34) = (5x +2)
- x = 12
- <DEF = 5 (12) + 2 = 62 degrees
#7. Congruent angles
- (3x +23) = 4x
- x = 23
- <ABC = 4(23) = 92 degrees
#8. Congruent angles
- 5x = (3x + 50)
- x = 25
- <MPQ = 3(25) + 50 = 125 degrees
#9. Congruent angles
- (a + 28) = 2a
- a = 28
- <MNP = (28) + 28 = 56 degrees
#10. Congruent angles
- 5y = (2y + 78)
- y = 26
- <WXZ = 5(26) = 130 degrees
I hope this helps!
Answer:
6.9 foot.
Step-by-step explanation:
Given: Length of lamp post= 12-foot.
The angle of elevation of the sun is 60°.
∴ The length of Lamp post, which is opposite is 12-foot.
Now, finding the length of shadow cast by foot lamp.
Length of shadow is adjacent.
∴ We know the formula for
= 
Next, putting the value in the formula.
⇒ 
Cross multiplying both side and using the value of Tan 60°
∴ Adjacent=
≅ 6.9 (nearest tenth value)
6.9 is the length of shadow cast by a 12-foot lamp post.
Answer:
Answer is 38
Step-by-step explanation:
if the first digit in the fractional part of 37.67 is less than 5 then you remove the fractional part to get the answer. If the first digit is 5 or above, then you add 1 to the integer and remove the fractional part to get the answer. First digit is 6 - it is 5 and above, you add 1 to the integer and remove fractional part and get 37.67 rounded to the nearest whole number as 38
Hope this helps
Answer:
The equation that models the cost of each bracelet is
. Cost of each bracelet is $7.
Step-by-step explanation:
Let the cost of each bracelet is defined by the variable x.
Cost of 9 bracelet is 9x. The shipping cost is $9. Therefore the total cost of 9 bracelets, including shipping is

The total cost for 9 bracelets, including shipping is $72.

Subtract 9 from both sides


Divide both sides by 9.

Therefore the cost of each bracelet without shipping changes is $7.
Answer:
its so blurry
Step-by-step explanation:
grrrr