Since ΔABC ~ ΔEDC, ∠B = ∠D.
Since both triangles appear to be similar, the corresponding angles are the same, and corresponding sides are the same or have the same ratio.
We can write an equation to resemble the problem:
8x + 16 = 120
Solve for x.
8x + 16 = 120
~Subtract 16 to both sides
8x + 16 - 16 = 120 - 16
~Simplify
8x = 104
~Divide 8 to both sides
8x/8 = 104/8
~Simplify
x = 13
Therefore, the answer is 13.
Best of Luck!
Answer:
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Step-by-step explanation:
the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75
<u>Step-by-step explanation:</u>
Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.
Let the cost of each pound of trail mix is $y.
and the cost of each pound of jelly beans is $x.
According to question,
For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.
⇒
→ (1)
For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23
⇒
→ (2)
Solving (1) and (2), we get
3(1 equation)-(2 equation)=0
⇒
⇒
hence,
⇒
⇒
Putting
in
we get ;
⇒
⇒ 
⇒ 
⇒ 
Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .
Answer:
4.3
Step-by-step explanation:
6.8^2-5.3^2=x^2
AC=4.3