Answer:Answer:
60/11 or 5 5/11
Step-by-step explanation: Change to mixed numbers- 15/2 and 11/8.
multiply 15/2 by reciprocal- 15/2 x 8/11.
simplify-60/11
B>a
<span>b=3a-22, b+2a=98, using b from the left in the right: </span>
<span>3a-22+2a=98 </span>
<span>5a-22=98 </span>
<span>5a=120 </span>
<span>a=24, and since b=3a-22, </span>
<span>b=50 </span>
<span>So the smaller number is 24 and the larger number is 50.</span>
Answer:
- 18369919
Step-by-step explanation:
Hope that helps!
<h3>
Answer: Choice D) 22.5</h3>
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Explanation:
x = length of BC
AC = AB+BC
AC = 6 + x
CE = CD+DE
CE = 22+8
CE = 30
Triangles ACE and BCD are similar triangles (can be proven by the AA similarity theorem due to the fact that AE || BD)
Therefore the corresponding sides are proportional letting us set up the proportion below
AC/BC = CE/CD
(6+x)/x = 30/22 .... substitution
22(6+x) = 30x ... cross multiply
132+22x = 30x
132 = 30x-22x ..... subtract 22x from both sides
132 = 8x
8x = 132
x = 132/8 .... divide both sides by 8
x = 16.5
Now use this to find the length of AC
AC = 6+x
AC = 6+16.5
AC = 22.5
Answer:
Step-by-step explanation:
-4,-5