2. QM is congruent to QN
4, All right angles are congruent
5.QX is congruent to QX
6.SAS congruence
7.MX is congruent to NX
Vertex form formula: y = a(x-h)^2 +k, with vertex (h,k)
There are multiple ways to find the vertex. One way is to find the roots and then find the x value exactly in between them, because this parabola is symmetrical.
0 = (x - 3)(x + 2), so x = 3 and -2. The point directly in the middle is x = 1/2 = h
To find the y value of the vertex, plug in 1/2 to the equation.
(1/2)^2 - 2(1/2) + 5 = 4.25 = k
y = (x - 0.5)^2 + 4.25
Use the formula a^(x/n) = (n)√a^x (note it is a small n)
(5x^4y^3)^(2/9) = Small 9
Convert.
is your answer
hope this helps
Answer:
x = 4, y = 9
Step-by-step explanation:
The angles in a square are right, that is 90°
The diagonals bisect the angles , then
6x + 21 = 45 ( subtract 21 from both sides )
6x = 24 ( divide both sides by 6 )
x = 4
------------------------------------------------
The sides of a square are congruent , then
10y - 29 = 5y + 16 ( subtract 5y from both sides )
5y - 29 = 16 ( add 29 to both sides )
5y = 45 ( divide both sides by 5 )
y = 9
Answer:
There are 60 boys and 80 girls in Franklin School.
Step-by-step explanation:
"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4
It can also be written as 3/4
Also given
Total number of students: 140
We will use ratios to find the number of boys and girls in shool.
First of all, we have to calculate the sum of ratio which is: 3+4 = 7
Let b be the number of boys and g be the number of girls
Then

Hence,
There are 60 boys and 80 girls in Franklin School.