Answer:
r = 4
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 5
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, r ) and (x₂, y₂ ) = (8, 9)
m = 
= 
= 9 - r = 5 ( subtract 9 from both sides )
- r = - 4 ( multiply both sides by - 1 )
r = 4
2 hours! because, 12 plus 3 is 15 & 15 times 2 equals 30
Answer is -7/2
Gradient or slope is found by change in y over change in x.
Or
(y2 - y1) over (x2 - x1)
So
(-2 -5) over (4-2)
= -7/2
Answer:
m<1 = 60°
m<2 = 30°
m<3 = 90°
Step-by-step explanation:
Recall some properties of Rectangle. Thus:
The four angles of a rectangle are right angles = 90° each.
Opposite sides of a rectangle are also parallel to each other.
With the knowledge of these, we can solve for angles 1, 2, and 3.
Thus:
m<1 = 60° (alternate interior angles are congruent)
m<2 + m<1 = 90° (complementary angles)
m<2 + 60° = 90° (substitution)
m<2 = 30° (substraction property of equality)
m<3 = 90° (angle of a rectangle)
Answer:
no solution
Step-by-step explanation:
simplifying
6(y + -5) = 2(10 + 3y)
reorder the terms:
6(-5 + y) = 2(10 + 3y)
(-5 * 6 + y * 6) = 2(10 + 3y)
(-30 + 6y) = 2(10 + 3y)
-30 + 6y = (10 * 2 + 3y * 2)
-30 + 6y = (20 + 6y)
add '-6y' to each side of the equation.
-30 + 6y + -6y = 20 + 6y + -6y
combine like terms: 6y + -6y = 0
-30 + 0 = 20 + 6y + -6y
-30 = 20 + 6y + -6y
combine like terms: 6y + -6y = 0
-30 = 20 + 0
-30 = 20
solving for:
-30 = 20
the left and right sides are not equal, so there isn't any solution!
