Answer:
Step-by-step explanation:
By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property
(6x)° + 90° + (x+6)° = 180°
To solve for x, first combine the terms to get (7x + 96) = 180°
Using the Subtraction property of equality,
7x = 84.
Then using the division property of equality x = 12.
To find the measure of angle A,
Use the subtraction property to get m∠A = 6(12)°.
Finally simplifying the expression gets m∠A = 72°.
Answer:
10/39
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Foot long = 1 foot
6 / 1 = 6 foot pieces
Answer:
Step-by-step explanation:
Given:
Required:
LJ
Solution:
Step 1: create an equation to find the value of x
Since we are given that LK = MK, and LK = 7x - 10, let's find the expression for MK to get an equation.
(segment addition postulate)
(Subtract KN from each side)
(subtitution)
LK = MK, therefore,
Subtract 8x from each side
Add 10 to both sides of the equation
Divide both sides by -1
Step 2: Find LJ
(segment addition postulate)
Plug in the value of x
