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Zigmanuir [339]
3 years ago
11

HELLLLLLLLLLLLLLP PLLLLLLLSSS, I NEED HELP WITH THIS ANSWER

Mathematics
2 answers:
vlabodo [156]3 years ago
8 0
It would be -4, and 9.2 because they sign is saying that x is less than or equal too 11.
saul85 [17]3 years ago
8 0
1: -4, 2: 11, 5: 9.2
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Three vertices of parallelogram WXYZ are X(–2,–3), Y(0, 5), and Z(7, 7). Find the coordinates of vertex W
Serhud [2]

The coordinates of the vertex W are (5 , -1)

Step-by-step explanation:

In the parallelogram, the diagonal bisect each other

To find a missing vertex in a parallelogram do that:

  • Find the mid-point of a diagonal whose endpoints are given
  • Use this mid-point to find the missing vertex
  • The mid point rule is (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

∵ WXYZ is a parallelogram

∴ Its diagonals are WY and XZ

∵ The diagonal bisect each other

- That mean they have the same mid-point

∴ They intersect each other at their mid-point

∵ x = (-2 , -3) and z = (7 , 7)

∴ x_{1} = -2 and x_{2} = 7

∴ y_{1} = -3 and y_{2} = 7

- Substitute them in the rule of the mid point to find the

   mid-point of XZ

∴ M_{XZ}=(\frac{-2+7}{2},\frac{-3+7}{2})=(2.5 , 2)

∴ The mid-point of diagonals WY and XZ is (2.5 , 2)

Let us use it to find the coordinates of vertex W

∵ W = (x , y) and Y = (0 , 5)

∴ x_{1} = x and x_{2} = 0

∴ y_{1} = y and y_{2} = 5

- Equate 2.5 by the rule of the x-coordinate of the mid-point

∵ 2.5=\frac{x+0}{2}

- Multiply both sides by 2

∴ 5 = x + 0

∴ 5 = x

∴ The x-coordinate of point W is 5

- Equate 2 by the rule of the y-coordinate of the mid-point

∵ 2=\frac{y+5}{2}

- Multiply both sides by 2

∴ 4 = y + 5

- Subtract 5 from both sides

∴ -1 = y

∴ The y-coordinate of point W is -1

The coordinates of the vertex W are (5 , -1)

Learn more:

You can learn more about the mid-point in brainly.com/question/10480770

#LearnwithBrainly

4 0
3 years ago
The angle measurement in the diagram are represented by the following expressions.
8_murik_8 [283]

Answer:

x = 9 and ∠ B = 40°

Step-by-step explanation:

See the diagram given with the question first.

Here we have ∠ A = ∠ B {They are corresponding angles}

Now, it is given that ∠ A = 5x - 5 and ∠ B = 3x + 13

Hence, 5x - 5 = 3x + 13

⇒ 2x = 18

⇒ x = 9

Therefore, ∠ B = 3x + 13 = 3(9) + 13 = 40° (Answer)

5 0
3 years ago
The diameter of a circle measures 32 mm. What is the circumference of the circle? Use 3.14 for , and do not round your answer. B
mart [117]

Answer:

100.48 ft

Step-by-step explanation:

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2 years ago
Search up thick cake
Jlenok [28]

Answer:

Done

Step-by-step explanation:

Ok

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