Answer:
79853709 with the exponent of 94
Step-by-step explanation:
We know that m<JKL = m<JKM + m<MKL
Let's substitute the values from the picture into our equation above.
10x - 11 = 43 + 8x - 20
Combine like terms.
10x - 11 = 8x + 23
Subtract 8x from both sides and add 11 to both sides.
2x = 34
Divide both sides by 2
x = 17
m<MKL = 8x - 20 = 8(17) - 20 = 136 - 20 = 116 degrees.
m<JKL = 10x - 11 = 10(17) - 11 = 170 - 11 = 159 degrees.
Answer:
The value of k is -11
Step-by-step explanation:
If (x+2) is a factor of x3 − 6x2 + kx + 10:
Then,
f(x)=x3 − 6x2 + kx + 10
f(-2)=0
f(-2)=(-2)³-6(-2)²+k(-2)+10=0
f(-2)= -8-6(4)-2k+10=0
f(-2)= -8-24-2k+10=0
Solve the like terms:
f(-2)=-2k-22=0
f(-2)=-2k=0+22
-2k=22
k=22/-2
k=-11
Hence the value of k is -11....
Answer:
Step-by-step explanation:
Are the volumes equal? No, so throw out the first and the last one.
Is the volume of the pyramid greater than the volume of prism?
No, so throw out the third one
so by inspection it must be the remaining one
or mathematically
vol pyramid = (1/3)(base)(height)
vol prism = (base)(height)
vol pyramid / vol prism
(1/3)(base)(height) / (base)(height) = 1/3