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2 years ago

Given: ΔXYZ AB is a midsegment parallel to XY. The slope of AB is 2 3 . What is the slope of XY?

Mathematics

2 answers:

stich3 [128]2 years ago

5 0

The slope of XY is the same as the slope of AB because XY is parallel to AB. Parallel lines have the same slope.

bazaltina [42]2 years ago

5 0

Answer: The answer is 23.

Step-by-step explanation: As given in the question and shown in the attached figure, XYZ is a triangle where AB is a mid-segment parallel to the side XY and the slope of AB is 23 . We are to find the slope of XY.

Since the segment AB is parallel to the side XY, and we know that the slopes of two parallel lines are always equal, therefore the slope of XY will be equal to the slope of AB.

The slope of AB is 23, so the slope of XY is also 23.

Thus, 23 is the answer.

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Please please help me.I am so lost with this math

Arte-miy333 [17]

Answer:

$6\sqrt{5}$

Step-by-step explanation:

In any right triangle, the Pythagorean theorem states:

$a^2+b^2=c^2$ , where $a$ and $b$ are two legs of the triangle and $c$ is the hypotenuse.

Plugging in given values, we have:

$12^2+VU^2=18^2,\\144+VU^2=324,\\VU^2=180,VU=\sqrt{180}=\sqrt{36}\cdot \sqrt{5}=\boxed{6\sqrt{5}}$

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2 years ago

Jason wants to add a fence to his yard to make it the shape of a rectangle. What is the measure of angle MKJ in the portion of t

alex41 [277]

Answer:

$\angle MKJ = 34$

Step-by-step explanation:

Given

$\angle LKJ = 124$

Required

Find $\angle MKJ$

From the attachment:

The measure of $\angle MKJ$ is calculated using the following expression:

$\angle MKJ + \angle LKM = \angle LKJ$

Where

$\angle LKM = 90$ -- right-angled.

The expression becomes

$\angle MKJ + 90 = 124$

$\angle MKJ = 124 - 90$

$\angle MKJ = 34$

3 0

2 years ago

Suppose h(t) = -4t^2+ 11t + 3 is the height of a diver above the water in

nadezda [96]

Answer:

11/4 seconds

Step-by-step explanation:

We can see from the given equation that the height at the diving board is h = 3.

This is because the h(t) equation has that +3 at the end, which denotes the initial height of the diver, the height when he is standing on the board before jumping.

To find where h(t) = 3 is true, we need to set h(t) equal to 3 and solve for t.

h(t) = 3

h(t) = -4t^2 + 11t + 3 = 3

-4t^2 + 11t + 3 - 3 = 0

-4t^2 + 11t = 0

t*(-4t + 11) = 0

so h(t) = 3 when t = 0 and when t = 11/4 sec

we already know that at t = 0 the height is 3, it is the initial height given from the equation, so we want to use the other solution for t.

the diver is back at the height of the diving board at t = 11/4 sec

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2 years ago

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I FAIpQLSep5JOTD IBL

frozen [14]

Answer:

8 ft i think there is't much context to go off of though

Step-by-step explanation:

7 0

2 years ago

Luke invited 20 more boys than girls to his birthday party. However, only ¾ of the boys and ⅔ of the girls came. Exactly 19 of L

sveta [45]

Answer:

Step-by-step explanation:

Let:

Number of girls invited = x

Number of boys = x +20

3/4 of boy showed up

2/3 of girls showed up

Exactly 19 did not show up

Therefore, we could say:

Fraction of boys that didn't show up = 1 - 3/4 = 1/4

Fraction of girls that didn't show up = 1 - 2/3 = 1/3

That is,

[1/4 *(x + 20)] + [1/3*x] = 19

[(x + 20) / 4] + x /3 = 19

(3(x + 20) + 4x) / 12 = 19

3x + 60 + 4x = 228

7x = 228 - 60

7x = 168

x = 168 / 7

x = 24

Number of girls, x = 24

Number of boys, x + 20 = 24 + 20 = 44

Total friends invited = (24 + 44) = 68

8 0

2 years ago