Answer:
y = 5x - 9
Step-by-step explanation:
y - y₁ = m(x - x₁), where (x₁, y₁) = (3, 6)
y - 6 = 5(x - 3)
y = 5x - 15 + 6
y = 5x - 9
12 boxes would be 22 pounds.
Answers:
x = 5
m∠C = m∠H = 38 degrees
WORKINGS
Given that ABCD ≅ FGHJ
We know that corresponding angles of two congruent
quadrilaterals are equal
Therefore,
m∠A = m∠F
m∠B = m∠G
m∠C = m∠H
m∠D = m∠I
Given,
m∠C = 9x – 7
m∠H = 5x + 13
Since m∠C = m∠H
9x – 7 = 5x + 13
Add 7 to both sides of the equation
9x – 7 + 7 = 5x + 13 + 7
9x = 5x + 20
Subtract 5x from both sides of the equation
9x – 5x = 5x – 5x + 20
4x = 20
Divide both sides of the equation by 4
4x/4 = 20/4
x = 5
To determine the measures of angle C and angle H
m∠C = m∠H
We know that m∠C = 9x – 7
Since x = 5
m∠C = 9(5) – 7
m∠C = 45 – 7
m∠C = 38
Therefore, m∠C = m∠H = 38 degrees
The answer should be 70 :)
Sum of interior angles of triangle = 180
x + x + 6 + 3x - 16 = 180
5x - 10 = 180
5x = 190
x = 38
<M = 3(38) - 16
<M = 114 - 16
<M = 98°
