Answer:
1.3
Step-by-step explanation:
BC is the distance between B and C.
BC = x − (-0.4)
BC = x + 0.4
AB is the distance between A and B.
AB = -0.4 − (-1.25)
AB = -0.4 + 1.25
AB = 0.85
Substitute into the equation.
BC = 2AB
x + 0.4 = 2(0.85)
x + 0.4 = 1.7
x = 1.3
Answer:
19y - 9
Step-by-step explanation:
-3(-4y + 3) + 7y =
Distribute the -3.
= 12y - 9 + 7y
Combine like terms: 12y + 7y
= 19y - 9
Answer:
A, B and D
Step-by-step explanation:
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°
