Answer:
m<T = , m<M = and m<Z =
Step-by-step explanation:
From the given ∆TMZ, let the measure angle T be represented by T.
So that,
m<M = 2T + 6°
m<Z = 5T - 50°
Sum of angles in a triangle =
T + (2T + 6°) + (5T - 50°) =
8T - =
8T = +
=
T =
=
Therefore,
i. m<T =
ii. m<M = 2T + 6°
= 2 x + 6°
=
m<M =
iii. m<Z = 5T - 50°
= 5 x - 50°
= - 50°
=
m<Z =
Answer:

Step-by-step explanation:
The equation to solve is:

To get rid of the "square", we need to take square root of both sides:

Then we use algebra to find the value(s) of x. Remember, when we take square root, we have to add up a "+-" (on the right side). Shown below:

So these are 2 answers for x.
Answer:
inequality form: b<5
Step-by-step explanation:
Answer:
y=x+20
Step-by-step explanation:
Answer:
The shorter piece is 13.5 inches.
Step-by-step explanation:
Let the shorter piece be x inches long. That means the longer piece will be x+9 inches long.
Put the two pieces together and the total is 36 inches:
x + x+9 = 36
Combine like terms.
2x + 9 = 36
Subtract 9 from both sides.
2x = 27
Divide by 2.
x = 13.5
The shorter piece is 13.5 inches. The longer piece is 22.5 inches.
13.5 + 22.5 = 36