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
Answer:
-x^4+3x^2
Step-by-step explanation:
Answer:
y = x + 4
Step-by-step explanation:
The equation of the line is
y = mx + c
Step 1: find the slope
m = y2 - y1 / x2 - x1
Give points
( 2 , 6) ( -2 ,2)
x1 = 2
y1 = 6
x2 = -2
y2 = 2
m = 2 - 6 / -2 - 2
m = -4 / -4
m = 1
y = mx + c
y = 1x + c
y = x + c
Step 2: sub any of the two points given into the equation
( 2 , 6)
x = 2
y = 6
y = x + c
6 = 2 + c
6 - 2 = c
c = 4
Step 3: sub c into the equation
y = x + 4
The equation of the line is
y = x + 4
Answer: he will be able to make 19 full pieces
Step-by-step explanation:
1. Start off by making 7 feet into 84 inches so the measurements can match.
2. Add 4/14 inches and the 1/8 a inch together so you know how much is being taken off 84 inches. The amount will be 35/8 inches.
3. Divide 84 inches by 35/8 inches = 19 1/5
4. The whole number of the answer will be how many boards you can make from the board.
Find the GCF of 15 and 35
15=3*5
35=7*5
The Greatest Common Factor here is 5
Divide both the numerator and denominator by this value to get the simplest form.
15/5=3
35/5=7
Final answer: 3/7
