Answer:
The answer to your question is:
x = 21
y = 4
∡ = 75° and 105°
Step-by-step explanation:
Process
3(x + y)° + 5x = 180 supplementary angles
3(x + y) = 4x - 9 corresponding angles
Expanding
3x + 3y + 5x = 180 (1) Like terms
3x + 3y = 4x - 9 (2)
8x + 3 y = 180 (1)
8 ( -x + 3 y = -9) (2) Multiply by 8
8x + 3y = 180 (1)
-8x +24y = -72 (2) Elimitation method
27 y = 108
y = 108 / 27
y = 4
8x + 3 (4) = 180
8x +12 = 180
8x = 168
x = 21
3(21 + 4) = 3(25) = 75°
5(21) = 105°
Answer:
1 is false
2 is blueprints
Step-by-step explanation:
Ninty-Six Inches is the same as Eight Feet.
Answer:
y = x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 3 ← is in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes, hence
y = x + c ← is the partial equation of the parallel line.
To find c substitute (3, - 2) into the partial equation
- 2 = 3 + c ⇒ c = - 2 - 3 = - 5
y = x - 5 ← equation of parallel line
Answer:
D. 2(x - 1)(x – 3)
Step-by-step explanation:
4(x2 – 2x) – 2(x2 – 3)
We would first of all expand the expression given
This becomes
= 4x2 - 8x - 2x2 + 6
Rearrange to enable us simplify
4x2 - 2x2 - 8x + 6
= 2x2 - 8x + 6
Factorize
2 (x2 - 4x + 3)
factorizing further using the factors of 3 that add up to -4
2(x2 - x - 3x + 3)
pick out the common factors
2(x(x-1) -3(x-1)
2(x-1)(x-3)
Option D. 2(x - 1)(x – 3) is right
