Answer:
<em>x = 24 </em>
Step-by-step explanation:
The corresponding sides of similar Δs are proportional.
ΔADE ~ ΔABC ⇒
=
=
AD = x + 8 ; DE = 8
AB = x ; BC = 6
=
⇔ 8x = 6(x + 8) ⇒ <em>x = 24</em>
Answer:
The answer to your question is $1.29
Step-by-step explanation:
Data
Total amount of cupcakes = 50
Total amount of sugar = 3 1/2 cups = 3.5 cups
Cost of 5-pound bag = $3.69
2 cups = 1 pound
Total cost = ?
Process
1.- Calculate the amount of pounds needed
2 cups ------------------ 1 pound
3.5 cups --------------- x
x = (3.5 x 1) / 2
x = 3.5 / 2
x = 1.75 pounds
2.- Calculate the price of 1.75 pounds
5 pounds -------------- $3.69
1.75 pounds ---------- x
x = (1.75 x 3.69)/5
x = 6.46/5
x = $1.29
3.- Conclusion
The cost of sugar to prepare 50 cupcakes is $1.29
Answer:
1.78
Step-by-step explanation:

To solve for x we need to cross multiply it
We have = sign inbetween the fractions so we cross multiply it
9*x = 2* 8
9x = 16
Now we divide by 9 on both sides

so x= 1.7777777778
When we round to two decimal places then
x= 1.78
Answer:
In attachment I have answered this problem.
Answer:

Step-by-step explanation:
<u><em>The question is </em></u>
Find the measure of the legs
we know that
In a 45 degrees -45 degrees -90 degrees triangle, the measure of the legs are equal
Let
a ----> the measure of one leg
Applying the Pythagorean Theorem

solve for a

Divide by 2 both sides


Simplify
