Answer:
1. MOM can be cut in half vertically in the middle of the O.
2. HIKED can be cut in half horizontally cutting right down the middle.
3. CHECK can also be cut in half horizontally just like No. 2.
4.
M
A
T
H
can be cut in half vertically right down the middle starting at the top of M.
5. CHECKBOOK can be cut in half horizontally cutting right down the middle.
Answer:
A.
Step-by-step explanation:
This link will show you an animation of the angle bisection construction.
https://www.mathsisfun.com/geometry/construct-anglebisect.html
The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
1: m=-4
2: b=-4
3: -9=k
4: C=-11.4
5:X<10
