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3 years ago

What value of z will make △DEF ≅ △JKI

Mathematics

1 answer:

Leto [7]3 years ago

6 0

Answer:

z = 11

Explanation:

5y + 13 = 6y

Subtract 5y by both sides.

13 = y

Next,

z + 22 = 3z

Subtract z by both sides.

22 = 2z

Then, divide both sides by 2.

11 = z

Finally plug those answers into the equations.

5(13) + 13 = 78

6(13) = 78

(11) + 22 = 33

3(11) = 33

So △DEF ≅ △JKI because the value of z = 11.

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The length of a rectangle is 4 more than it's width. Write an equation that will determine the dimensions if the area of the rec

Firdavs [7]

Answer: The equation is W^2 + 4W - 96= 0

{Please note that ^2 means raised to the power of 2}

Step-by-step explanation: We have been given hints as to the measurement of the length and width of the rectangle. The length is given as four more than the width. What that means is that whatever is the width, we simply add four to get the measurement of the length. Therefore if the width is W, then the length is W + 4.

That is,

L = W + 4 and

W = W

Also we have the area given as 96.

Remember that the area of a rectangle is given as

Area = L x W.

In this question, the Area is expressed as

Area = (W + 4) x W

96 = W^2 + 4W

Subtract 96 from both sides of the equation and we have

W^2 + 4W - 96 = 0.

We now have a quadratic equation from which we can determine the dimensions of the rectangle

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4 years ago

Santiago is an election officer. On election day, he travels from his home to the polling place, which is 5.4 miles away. What i

inysia [295]

Answer:

9 inches

Step-by-step explanation:

5.4/0.6=9

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3 years ago

Someone please help me find the y = mx + b, I can’t figure it out

alexira [117]

Answer:

Step-by-step explanation:

There isn't really a correct answer, because reading the data associated the line will have a margin of error. What I read it as and what you read it as would be slightly different. With that said I will try my best.

I need at least two points on the line that seem accurate.

I like one point at Latitude 40 and temperature 51 call it 50 (40, 50)

Another point I like is Latitude 15 and temperature 81 or 80 (15, 80)

to find the line we use the slope and one point on the line

with two points you can calcuate the slope m = Δy / Δx

m = (50 - 80) / (40 - 15)

= -30 / 25

= - 1.2

now find the y intercept y when x = 0 (the x -axis)

y - y1 = m ( x - x1 ) point 1 (40, 50) slope of -1.2

y - 50 = -1.2 ( 0 - 40)

y = -1.2(-40) + 50 i combined a few steps here to solve for y