Answer:
x is 12
Step-by-step explanation:
You can find x two different ways.
The first way is to look at the numbers on the left side. You need to find the scale factor used to get from 4 to 6.
4 x 1.5 = 6
Use this for the 8
8 x 1.5 = 12
The other way you can use is look at the number on the top triangle. You need to find the scale factor used to get from 4 to 8.
4 x 2 = 8
Use this for the 6
6 x 2 = 12
Remember
difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
and the undistributiv propeoryt
ab-ac=a(b-c)
so we have
undistribute and factor
cancel out the one ( (u-2)/(u-2)=1)
is result
Answer:
The measure of angle y is 90°
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises.
so
m∠y=(1/2)[180°] -----> because the diameter divide the circle into two equal parts
so
m∠y=90°
m∠x=(1/2)[148°]
m∠x=74°
Answer: =4x+18
Step-by-step explanation:
Let's simplify step-by-step.
4x−7+25
=4x+−7+25
Combine Like Terms:
=4x+−7+25
=(4x)+(−7+25)
=4x+18
Answer:
=4x+18
Answer: 12 friends.
Step-by-step explanation:
the data we have is:
Mei Su had 80 coins.
She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:
The maximum number of friends that could have coins is when:
friend 1 got 1 coin
friend 2 got 2 coins
friend 3 got 3 coins
friend N got N coins
in such a way that:
(1 + 2 + 3 + ... + N) ≥ 79
I use 79 because "she gave most of the coins", not all.
We want to find the maximum possible N.
Then let's calculate:
1 + 2 + 3 + 4 + 5 = 15
15 + 6 + 7 + 8 + 9 + 10 = 55
now we are close, lets add by one number:
55 + 11 = 66
66 + 12 = 78
now, we can not add more because we will have a number larger than 80.
Then we have N = 12
This means that the maximum number of friends is 12.
