A) Height -7 = base
B) .5 * height * base = 60
Substituting A into B
B) .5 * height * (height -7) = 60
B) .5*height^2 -3.5*height = 60
B) .5*height^2 -3.5*height -60 = 0
Using the quadratic formula:
Height = 15
Subtracting 7 gives us the base length
Base = 8
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Double-Check
.5 * 15 * 8 = 60
Answer:
10
Step-by-step explanation:
I think it would be 4/3 because when you multiply 8 by 4/3 you get 6 and when you multiply-6 by 4/3 you get -4.5 so
4/3
Since the angles are bisecting < RSU = < UST
substitution----- 4x+16=9x-9
subtract 4x from both sides----- 16=5x-9
add 9 to both sides-----25=5x
divide by 5 on both sides------ 5=x
The value of x is 5
substitute the value of x in both expressions
1st expression: 4x+16
substitute the value of x------ 4(5)+16= 20+16=36
2nd expression: 9x-9
substitute the value of x-----9(5)-9=45-9=36
< RST= <RSU+<UST
<RSU=36 degrees
<UST= 36 degrees
------------------------------------you have calculated both above-------------------------------------------
m<RST= 36 + 36=72 degrees
