Answer:
x=9 and w=12
Step-by-step explanation:
To solve for w and x, create proportions between the two similar triangles.
where Big represents the bigger triangle an little represents the smaller triangle.
Cross multiply and solve for w.
8(12+w)=16(w)
96 + 8w = 16w
96 + 8w - 8w = 16w - 8w
96 = 8w
w=12
Repeat with a new proportion.
Cross multiply and solve for x.
8(24+x)=22(12)
192 + 8x = 264
8x = 72
x=9
Answer:
x=2
Step-by-step explanation:
Here what we need is that the ratios be equal, which is:
x:(5/2) = 8:10 or, what is the same:
x/(5/2) = 8/10
Lets pick the left term x/(5/2) and multiply both numerator and denominator by 2 to eliminate the fraction on the denominator:
2x/2(5/2) = 2x/5
Now, we would like to make a 10 appear on the denominator. As we already have a five we need to multiply numerator and denominator by the num that, multiplied by 5 gives as 10, this is 2:
2(2x)/2(5) = 4x / 10
So, we transformed x/(5/2) in 4x/10, and both are the same, so we can replace it on our first equation:
4x/10 = 8/10
As both denominators are equal, we can concentrate only in numerators:
4x = 8
Dividing both sides by 4:
x = 2
So, for x=2 both ratios are equivalents.
Answer:
d
Step-by-step explanation:
I hope this helps you
?.12%=72
?.12=72.100
?=6.100
?=600
Answer:
F(-2)=-2²+3(-2)-2=4+-6×-2=4+12=16
