Answer:
f = 5, x = 3.
Step-by-step explanation:
8x = 24
24 - 9 = 15.
3(5) = 15.
hope this helps.
Answer:
Number B: 4x+1
Step-by-step explanation:
I used synthetic division instead, But hope this helps.
Answer: 2x³(x² + 5x - 11)
<u>Step-by-step explanation:</u>
2x⁵ + 10x⁴ - 22x³
Factor out the GCF (2x³)
2x³(x² + 5x - 11)
Since there are no values whose product is -11 and sum is +5, this cannot be factored further.
m5=75 degrees
m11=75 degrees
m16=65 degrees
To find 5, realize angles 5 and 8 equal 180, because they make up a straight line, line d.
180-105=75
To find 11, it is the same as finding 7. Just look at the similar sizes. Angle 7 is the same at angle 5, just turned around. There’s a term for this pair angles that I don’t remember now but it exists. Now, lines a and b are parallel, so their angles between lines that intersect both are the same too. This means, as angle 5 equals angle 7, angle 7 equals angle 11.
To find 16, we use a combination of the methods used in finding the previous angles.
180-115=65 degrees is angle 4
Angle 4=Angle 16
Knowing the two angles given and that lines a and b are parallel, you could find the measurements of every angle in each intersection if you wanted to.
Answer:
A = 121 pi in^2
Step-by-step explanation:
The circumference is given by
C = 2 * pi*r
22 pi = 2 * pi *r
Divide each side by 2 pi
22 pi / (2 pi) = 2 pi r / (2pi)
11 = r
Now find the area
A = pi r^2
A = pi (11)^2
A = 121 pi in^2
