<h2>○=> <u>Correct option</u> :</h2>

<h3>○=> <u>Steps to derive correct option</u> :</h3>
Angle 1 and angle 3 are vertically opposite angles.
We know that :
▪︎ Vertically opposite angles are always equal.
Which means :
Angle 1 = Angle 3
Thus, the measure of angle 3 = 70°
▪︎Therefore, the correct option is (D) 70
Answer:
Company one charges $11 + $0.16 per min.
Then if you talk for x minutes, the cost will be:
C₁(x) = $11 + ($0.16 per min)*x
For company two, the prize is $20 + $0.11 per min, and if yo talk for x minutes, the cost will be:
C₂(x) = $20 + ($0.11 per min)*x
Now we want to find the value of x, the number of minutes, such that the cost is the same with both companies.
C₁(x) = C₂(x)
$11 + ($0.16 per min)*x = $20 + ($0.11 per min)*x
($0.16 per min)*x - ($0.11 per min)*x = $20 - $11
($0.05 per min)*x = $9
x = $9/($0.05 per min) = 180 mins
If you speak for 180 minutes, the cost is the same in both companies.
Answer:
y =
x - 2
Step-by-step explanation:
Given parameters:
Coordinates = p(4,0)
Equation of the line -x+2y=12
Solution:
A line parallel to the given line will have the same slope as it is;
-x+2y=12
2y = x + 12
y =
x + 
Since this conforms to y = mx + c where;
x and y are the coordinates
m is the slope
c is the intercept
Our slope is 
The equation of the line is
y = mx + c
let us find c;
c = y - mx
c = 0 - (
x 4)
c = -2
Now the equation of the line parallel to the line given is;
y =
x - 2
I=prt,,262.5=3000*3.5 r,,r=262.5/3000*3.5= use the calculator
Answer:
∠a = 45°
Step-by-step explanation:
We are told that △abc and △xyz are congruent.
Thus;
∠a = ∠x
∠b = ∠y
∠c = ∠z
We are given;
∠y = 90°
Thus, ∠b = 90°
Now,we are told that ∠a is one half the size of ∠b.
Thus; ∠a = ½ × ∠b
∠a = ½ × 90
∠a = 45°