Since sides kl and kj are congruent that means that angles klj and kjl are congruent. if angle klj is 58 then that means kjl is also 58. so you take the total number of degrees in a triangle (180) and subtract 58 and 58 (116) which leaves you with 64 ( the degree measure of lkj)
Answer:
450 ounces
Step-by-step explanation:
We know that the cost of the mixture
must be the cost of the everyday moisturizing lotion
plus the cost of the self-tanning lotion
, which means
.
The cost of any substance will be the cost per ounce of the substance (c), multiplied by the number of ounces (n), which means C=nc, so we have from the previous formula that we have:

But we also know that the number of ounces of the mixture must be the sum of the number of ounces of the everyday moisturizing lotion with the number of ounces of the self-tanning lotion, so we have

We want to calculate the number of ounces of the self-tanning lotion (
), so we solve for that variable:




And substitute our values in this formula, to get:

Step-by-step explanation:
Let the required number be x.

Answer:
a=8
Step-by-step explanation:
We can use ratios of similar triangles to solve
The smaller triangle has sides a and 12 and the larger triangle has sides a+a+4 and 12+18 which combine to 2a+4 and 30
a 2a +4
--------- = -----------
12 30
Using cross products
30a = 12(2a+4)
30a = 24a +48
Subtract 24a from each side
30a -24a = 24a-24a +48
6a = 48
Divide each sdie by 6
6a/6 =48/6
a =8
Answer:
D. -17/2
Step-by-step explanation:
1/2 - 4 (1/2 + 1)^2
First we evaluate what is inside the parentheses
1/2 - 4 (3/2) ^2
Now we square what is inside the parentheses
1/2 - 4(9/4)
Now multiply
1/2 -9
Get a common denominator 9 = 9 *2/2 = 18/2
1/2 - 18/2
-17/2