Answer:
y = 10x.
Step-by-step explanation:
Hayley is considering two gym membership plans. The plans are detailed here.
Plan One: $50 for a monthly pass plus $3 for each gym visit
Plan Two: $10 for each gym visit.
Therefore, if variable y is the total cost and x variable is the number of gym visit per year, then y will be given in the plan two by the equation
y = 10x ........ (1) (Answer)
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:
Arnold descended a distance of 5,250 ft after his parachute opened
Step-by-step explanation:
Here in this question, we want to know the distance Arnold descended after his parachute opened.
Mathematically, we know that distance = speed * time
In this case;
The speed is the rate at which he descended = 70 ft per second
Now the time is 1 minute and 15 seconds; since 1 minute is 60 seconds, then 1 minute and 15 seconds is 60 + 15 = 75 seconds
So what we are saying is he descended at a rate of 70 ft per second for 75 seconds
Thus, his distance of descent will be 70 ft per second * 75 seconds = 5,250 ft
The domain is R so the first one is correct.
IF you are solving for d:
isolate the D, do the opposite of PEMDAS.
-d/6 + 12 = -7
(subtract 12 from both sides)
-d/6 + 12 (-12) = -7 (-12)
-d/6 = -19
(multiply 6 to both sides)
-d/6(6) = -19(6)
-d = -19(6)
-d = -144
-d/-1 = -144/-1
d = 144
hope this helps
