Isosceles trapezoid ABCD has legs and and base , If AB = 7y – 4, BC = 4y – 6, and CD = 8y – 18, find the value of y.

Answers

Answer 1
Answer: If an isosceles trapezoid ABCD has legs AB and CD and base BC, then:
AB = CD
AB = 7 y - 4,  CD = 8 y - 18
8 y - 18 = 7 y - 4
8 y - 7 y = 18 - 4
Answer:
y = 14
Answer 2
Answer:

Answer:

y= 14

Step-by-step explanation:

Isosceles trapezoid has opposite sides equal

Hence, AB and CD are equal

We have been given AB= 7y-4

And CD= 8y-18

According to the property

7y-4 = 8y-18

On simplification:

7y -8y= -18+4

On further simplification.

-y=-14

Hence, y =14


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An inequality is shown.12+11/6x≤ 5+3x
Select the statement(s) and number line(s) that can represent the inequality. Click all that apply.
a. The solution set is {6, ∞} for x ∈ R.
b. The solution set is {6, 7, 8, …} for x ∈ N.
c. 6 ≤ x
d. The value of a number substituted for x is greater than 6.
(more options below.)

Answers

The right answer for the question that is being asked and shown above is that: "d. The value of a number substituted for x is greater than 6.; b. The solution set is {6, 7, 8, …} for x ∈ N." These are the statements and number lines that can represent the inequality. 

Answer:

56

Step-by-step explanation:

56y

Brady has $180 and makes $6 an hour. Nick has no money but makes $8 an hour.

Answers

Answer:

brady: y= 6h + 180

nick: y= 8h

Step-by-step explanation:

h in this situation is the same as x but I made it h to stand for hours worked

I'm also not sure if thats what you needed if not lmk

Answer:

After 12.86 days Nick and Perry will have the same amount of money

Step-by-step explanation:

Perrie's can be expressed as;

Total amount Perry will have after t days=Initial amount Perry has-Total amount Perry spends

where;

Initial amount that Perry has=$180

Total amount Perry spends=Amount he spends per day×Number of days=(6×t)=6t

Replacing in the expression;

Total amount Perry will have after t days=(180-6t)

Nick's can be expressed as;

Total amount Nick will have after t days=Initial amount Perry has+Total amount Nick earns

where;

Initial amount that Nick has=$0

Total amount Nick earns=Amount he earns per day×Number of days=(8×t)=8t

Replacing in the expression;

Total amount Nick will have after t days=(0-8t)=8t

Equating Total amount Nick will have after t days to Total amount Perry will have after t days;

180-6t=8t

180=(8t+6t)

14t=180

t=(180/14)=12.86 days

After 12.86 days Nick and Perry will have the same amount of money

Find the distance between the points (-3, 5) and (6, -7)

Answers

Hello,

6 - (-3) = 9

-7 - 5 = -12

\sqrt{9^(2) +(-12)^(2) }  = √(81 + 144)  = √(225)  = \sqrt{15^(2) }  = 15

You invested $1,200 in a mutual fund. Your account now has a value of $1,333. what was your gain?

Answers

You have invested 1200 dollars in your mutual fund and now gained 1333 dollars. First let's solve how much money added to your investment.
=> 1333 - 1200 = 133 dollars was added to your account
=> 133 / 1200 = 0.11 
Next, lets convert this to decimal value.
=> 0.11 * 100% = 11% was added to you investment.

Answer:

133

Step-by-step explanation:

Can you solve this?
1+cot^2θ=csc^2θ

Answers

the equation above is a "pythagorean identity", and therefore, the left-side is indeed equal to the right-side.

what are the values of θ that make the equation true?  well, all possible angles.

Point c is located at (5, 7) and is reflected in the x-axis. what are the coordinates of point c'? (-5, 7) (5, -7) (-5, -7) (5, 7)

Answers

Final Answer:

Point C's reflection across the x-axis yields coordinates (5, -7). The x-coordinate remains unchanged, while the y-coordinate changes sign, showcasing a fundamental concept in coordinate geometry.

Explanation:

This reflection can be understood as a transformation in which each point on the original figure is flipped over the x-axis to its corresponding point on the reflected figure.

The x-coordinate remains the same because it measures the horizontal distance from the y-axis, which does not change during a reflection across the x-axis. However, the y-coordinate changes sign, as it represents the vertical distance above or below the x-axis.

In summary, to find the coordinates of the reflected point, we change the sign of the y-coordinate of the original point while keeping the x-coordinate unchanged. Thus, the reflected coordinates of point C across the x-axis are (5, -7).

Read more about coordinate geometry at:

brainly.com/question/31858513