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yKpoI14uk [10]
3 years ago
14

Isosceles trapezoid ABCD has legs and and base If AB = 6y – 6, BC = 4y – 7, and CD = 7y – 12, find the value of y.

Mathematics
1 answer:
kvv77 [185]3 years ago
6 0
The description for an Isosceles trapezoid is that it has two opposites parallel, the two other opposites legs are equal and also the diagonals are equal.
side 1 = AB = 6y-6
side 2 = BC = 4y -7
side 3 = CD = 7y-12

When AB & CD are the two opposites and their measurement are equal. We will be we have:
AB=CD
6y-6 = 7y -12
Perform transposition method:
7y-6y=12-6
1y = 6
y=6

The answer for the "y" value is "6".

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One year, the population of a city was 80,000. Several years later it was 66,400. Find
Shalnov [3]

Answer:

The population decrease by 17%.

Step-by-step explanation:

This is because 66,400 is 83% of 80,000.

100%-83%= 17%

Therefore, the percentage of the population that decreased was 17%

7 0
3 years ago
What are the slope and the y-intercept of the linear function that is represented by the table?
mafiozo [28]

Answer:

slope is -2 and the y-intercept is 12

Step-by-step explanation:

a key thing to remember: x is always equal to 0 when finding the y-intercept.

so if you look at the table for where 0 is, you get the point (0,12) meaning the y-intercept is 12.

to find the slope use the equation: slope= change in y/change in x

you can use any two points to find this.

lets take the points of the x-intercept (6,0) and the y-intercept (0,12)

12-0/0-6

12/-6

-2 = slope

8 0
3 years ago
5. Find the mZABC if<br> ZABD = 35°, ZDBC = 55º.
Reika [66]

Answer:

m\angle ABC=90^o

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m\angle ABC=m\angle ABD+m\angle DBC ----> by angle addition postulate

substitute the given values

m\angle ABC=35^o+55^o=90^o

5 0
3 years ago
Write the equation of the line that passes through the points (-4,-4) and (6,3).
Phantasy [73]
I hope this helps I took both of the points and used the slope formula to get my slope which is 7/10 then I took any point from those two then I plugged it in to get the point slope form

Answer: y-3=7/10(x-6)

6 0
3 years ago
Solve for x: 6x + 1 over 4 (4x + 8) &gt; 12
sukhopar [10]

Answer:

A. x>\frac{10}{7}.

Step-by-step explanation:

We have been given an inequality 6x+\frac{1}{4}(4x+8)>12. We are asked to solve the given inequality for x.

Using distributive property, we will get:

6x+\frac{1}{4}*4x+\frac{1}{4}*8>12

6x+x+2>12

7x+2>12

Subtract 2 from both sides:

7x+2-2>12-2

7x>10

Divide both sides by 7:

\frac{7x}{7}>\frac{10}{7}

x>\frac{10}{7}

Therefore, option A is the correct choice.

3 0
3 years ago
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