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4 years ago

9

At the top of a roller coaster hill you are 210 feet above ground. At the bottom of the hill you are 15 feet above ground. Write

an integer that represents the change in height from top to the bottom.

1 answer:

aliina [53]4 years ago

4 0

In this case, the change in height is just the difference of top and bottom.
Therefore,
change in height = 210 ft - 15 ft = 195 ft

Hope it helps

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Solve Systems of Equations Algebraically. <br> y=x-8 <br> y=5x

larisa86 [58]

Answer:

(- 2, - 10 )

Step-by-step explanation:

Given the 2 equations

y = x - 8 → (1)

y = 5x → (2)

Substitute y = 5x into (1)

5x = x - 8 ( subtract x from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

Substitute x = - 2 into either of the 2 equations for y

Substituting into (1)

y = - 2 - 8 = - 10

solution is (- 2, - 10 )

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3 years ago

Given that lines AB and DE are parallel,determine how triangles ABC and EDC can be shown to be similar

Roman55 [17]

Answer:

The transversals cutting through the parallel lines create angles that are congruent to one another. Angles 1`and 5 are alternate interior and are congruent. Angles 2 and 6 are alternate interior and are congruent. And of course if 2 of 3 angles in 2 triangles are congruent, then the 3rd angles have to be congruent as well. HOWEVER, we can see that the sides are NOT congruent, and we need at least one side to prove congruency. Since we have 3 congruent angles, we can only say they are similar.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A house and a lot are appraised at $420000. If the value of the lot 3/4 of the value of the house, how much is the lot alone wor

34kurt

Hello from MrBillDoesMath!

Answer:

180000

Discussion:

Let H = house and L = lot. The Question tells us that H + L = 420000 and L = 3/4H. We are asked to solve for L

H + L = 420000 => L = 3/4H implies that H =4/3L

(4/3)L + L = 420000 => (4/3) + 1 = 7/3

(7/3)L = 420000 => multiply both sides by 3/7

(3/7)(7/3)L = (3/7)420000 => as (3/7)(7/3) = 1

L = 180000

Check:

H + L = 420000

H + 180000 = 420000

H = 420000 - 180000

H = =240000

Is L = 3/4H ?

Does 180000 = 3/4 ( 240000) ?

Does 180000 = (3* 240000)/4 = 720000/4 = 180000 Yes! so the answers check!

Thank you,

MrB

3 0

4 years ago

the vertices of a feasible region are (1,0) (5,5) and (5,0) . what is the maximum value of the function P=2x-y?

wariber [46]

The maximum value of the function is 10

<h3>How to determine the maximum value?</h3>

The function is given as:

P = 2x - y

The feasible regions are given as:

(1,0), (5,5) and (5,0)

Substitute these values in P = 2x - y

P = 2(1) - 0 = 2

P = 2(5) - 5 = 5

P = 2(5) - 0 = 10

The maximum value in the above computation is 10

Hence, the maximum value of the function is 10

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2 years ago

The measure of angle a is twice the measure of angle b the measure of angle c is at least one degree more than the measure of an

Sphinxa [80]

Answer:

Step-by-step explanation:

The measure of angle a is twice the measure of angle b. This means that

a = 2b

The measure of angle c is at least one degree more than the measure of angle a. This means that

c ≥ a + 1

c ≥ 2b + 1

if the sum of the three angles is at least 61 degrees, it means that

a + b + c = 61 - - - - - - - - - - - - - 1

Substituting a = 2b and c = 2b + 1 into equation 1, it becomes

2b + b + 2b + 1 = 61

5b = 61 - 1 = 60

b = 60/5 = 12

c ≥ 2× 12 + 1

c ≥ 25

25 ≥ a + 1

25 - 1 ≥ a

24 ≥ a

a ≤ 24

Therefore, the range possible measurements for angle b is

b ≤ 12

4 0

3 years ago