Answer: x = 131
Reasoning: Alternate interior angle theorem
The angles shown are inside the parallel lines, so they are interior angles. They are also considered alternate angles because they are on alternating sides of the transversal cut. Alternate interior angles are congruent when we have parallel lines like this.
Answer:
fraction of the wall is limestone is 4/22
or 2/11 as a reduced fraction
Step-by-step explanation:
fraction of the wall is limestone is 4/22
the width is 22 in total
10 inches concrete = 10/22
8 inches brick : 8/22
4 inches limestone : 4/22
10/22+8/22+4/22=22/22=1
Answer:
133 1/3
Step-by-step explanation:
1/3= 0.3333 repeating
Consecutive integers are 1 apart
x,x+1,x+2
(x)(x+1)(x+2)=-120
x^3+3x^2+3x=-120
add 120 to both sides
x^3+3x^2+3x+120=0
factor
(x+6)(x^2-3x+20)=0
set each to zero
x+6=0
x=-6
x^2-3x+20=0
will yeild non-real result, discard
x=-6
x+1=-5
x+2=-4
the numbers are -4,-5,-6
use trial and error and logic
factor 120
120=2*2*2*3*5
how can we rearange these numbers in (x)(y)(z) format such that they multiply to 120?
obviously, the 5 has to stay since 2*5=10 which is out of range
so 2*2*2*3 has to arrange to get 3,4 or 4, 6 or 6,7
obviously, 7 cannot happen since it is prime
3 and 4 results in in 12, but 2*2*2*3=24
therfor answer is 4 and 6
they are all negative since negaive cancel except 1
the numbers are -4,-5,-6
From the equation, h(t)=-16t^2+150. You are given the height of the
building which is 15ft and you are asked to find the time it takes to fall in
seconds.
h(t)=-16t^2+150
15=-16t^2+150
15 – 150 = -16t^2
-135 = -16t^2
t = 2.9 seconds
