Answer:
Step-by-step explanation:
If P, Q and S are collinear, then the three points lies on the same straight line.
If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;
<P Q R + <R Q S = 180
Given
<R Q S =x+1
<P Q R = 3x-5
Substitute the given expression into the formula and calculate x;
3x-5+x+1 = 180
collect like terms
3x+x - 5+1 = 180
4x-4 = 180
4x = 180+4
4x = 184
divide both sides by 4
4x/4 = 184/4
x = 46°
To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.
m∠PQR = 3x-5
m∠PQR = 3(46) - 5
m∠PQR = 138 - 5
m∠PQR = 133°
Hence the measure of angle m∠PQR is 133°
Extra 10, 10 is half of what she ordered so she received an extra 50%
A, C, E
any mathematical expression that then includes an equal sign becomes a sentence or equation
Answer:
A
Step-by-step explanation:
The red function is a transformation. Transformation have the following rules:
- f(x-a) is a units shifted to the right
- f(x+a) is a units shifted to the left
- f(x)+a is a units shifted up
- f(x) -a is a units shifted down
It shifts the red graph 1 unit to the right. This is f(x-1).