Answer:
108 degrees
Step-by-step explanation:
Since angles A and B are supplementary, they both add up to 180. Angle A = 7x+10, and angle B = 7x-26. You can set up the equation A + B = 180, and then plug in angles A and B, which gives you 7x+10 + 7x-26 = 180. Then you just need to isolate x:
Combine like terms: 14x - 16 = 180
Add 16 to both sides: 14x = 196
Divide both sides by 14: x = 14
Now that you know x, you can plug it into the expression for angle A (7x+10):
A = 7(14) + 10 = 98+10 = 108
Answer:
k = 5
Step-by-step explanation:
Given
+ 
= 3 ( multiply through by 3 to clear the fractions )
k + 1 = 6 ( subtract 1 from both sides )
k = 5
<span>Use a proportion:
x/(5 1/2) = 50/4
--------
x = (11/2)(50/4)
--------
x = 550/8
----
x = $68.75</span>
<span>Based on this sample, and assuming the word "widget" means removed, the answer is four. They only tested 50 bottles and found four (one under, three over). The question also contains the word "Jack's, " the meaning is unclear. The factory shipped 1000 bottles of Hosta sauce, assuming the same ratio as the random sample (0.0008%) then the factory shipped 80 bottles that are incorrect.</span>
