Answer:
y = x
Step-by-step explanation:
the equation of a line passing through the origin is
y = mx ( m is the slope )
calculate m using the slope formula
m =
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line
m = =
=
y = x ← equation of line
Answer:
x = 27
Step-by-step explanation:
Given
- 6 = 2 ( add 6 to both sides )
= 8 ( square both sides )
2x + 10 = 8² = 64 ( subtract 10 from both sides )
2x = 54 ( divide both sides by 2 )
x = 27
Answer:
Step-by-step explanation:
Find the required figure in the attachment. From the figure, <A = <B (alternate interior angle)
Given
∠A=6x+5
∠B=4x+45
Since <A = <B hence;
6x+5 = 4x+45
Collect the like terms
6x-4x = 45-5
2x = 40
Divide both sides by 2;
2x/2 = 40/2
x = 20
Hence the value of x is 20°
Next is to get the measure of <A
Since <A = 6x+5
Substitute x = 20° into the expression
<A = 6(20)+6
<A = 120+6
<A = 126°
Hence the measure of <A is 126°
