Answer:
The value of x is 6
Step-by-step explanation:
we know that
If two angles are supplementary, then their sum is equal to 180 degrees
so
In this problem
m∠C+m∠E=180°
we have
m∠C=112°
m∠E=(3x+50)°
substitute and solve for x
112°+(3x+50)°=180°
3x+162=180
3x=180-162
3x=18
x=6
Answer:
b < -1
Step-by-step explanation:
Step 1: Write inequality
-3(6b - 1) > 18 - 3b
Step 2: Solve for <em>b</em>
<u>Distribute -3:</u> -18b + 3 > 18 - 3b
<u>Add 18b to both sides:</u> 3 > 18 + 15b
<u>Subtract 18 on both sides:</u> -15 > 15b
<u>Divide both sides by 15:</u> -1 > b
<u>Rewrite:</u> b < -1
Answer:
Part A: 8b -12c -16
Part B: 4(2b - 3c -4)
Part C: 36
Step-by-step explanation:
Part A:
5b + 3c - 20 + 3b - 15c + 4
= 8b -12c -16
Part B:
Factorising 8b -12c -16
= 4(2b - 3c -4)
Part C:
= 4[2(2)-3(-3)-4)]
= 4[4+9-4]
= 4[9]
= 36
Answer:
12
Step-by-step explanation:
There are many ways to approach this problem. I like a method that uses the least amount of computation. We could figure how much Wendy makes on a bag of chips, the additional amount Wendy wants to make, then divide the latter by the former to find the number of additional bags to sell.
We could use a proportion to figure the number of bags corresponding to $126 in earnings, then subtract the 72 bags already sold. Essentially, we will do this, but without the intermediate numbers.
__
The additional fraction of 72 bags will be ...
(126/108) -1 = 18/108 = 1/6
Then Wendy must sell an additional ...
(1/6)×(72 bags) = 12 bags
to increase her earnings to $126.
● Answer:
8.995 cm
● Step-by-step explanation:
P = d + L/2
d = 3.5 cm
L/2 = 2pi×r/2
= pi×d/2
= 3.14×3.5/2
= 5.495 cm
P = 3.5cm + 5.495
= 8.995 cm