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levacccp [35]
2 years ago
14

Consider parallelogram VWXY below.

Mathematics
2 answers:
nirvana33 [79]2 years ago
4 0

Answer:

  • 56°, 84°, 3 units

Step-by-step explanation:

<u>Properties of a parallelogram</u>

  • Two adjacent angles are supplementary
  • Opposite angles are congruent
  • Opposite sides are parallel and congruent

Use the properties to find the required parameters

1) <u>Find m∠YXV</u>

  • m∠YXV + m∠VXW + m∠VWX = 180°
  • m∠YXV + 40° + 84° = 180°
  • m∠YXV = 180° - 124°
  • m∠YXV = 56°

2) <u>Find m∠Y</u>

  • m∠Y = m∠W = 84°

3) <u>Find x</u>

  • 2x = 6
  • x = 6/2
  • x = 3
V125BC [204]2 years ago
3 0

Answer:

m∠YXV = 56°

m∠Y = 84°

x = 3

Step-by-step explanation:

Sum of interior angles of a triangle = 180°

⇒ m∠W + m∠WVX + m∠VXW = 180°

⇒ 84° + m∠WVX + 40° = 180°

⇒ m∠WVX = 56°

As VW ║ YX  and  YV ║ XW  then  m∠WVX = m∠YXV

So m∠YXV = 56°

In a parallelogram, opposite angles are congruent

⇒ m∠Y = m∠W

⇒ m∠Y = 84°

In a parallelogram, opposite sides lengths are congruent

⇒ VW = YX

⇒ 2x = 6

⇒ x = 6 ÷ 2

⇒ x = 3

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2 years ago
Which of these points lies on the circle with the center (2,3) and radius 2?
yan [13]

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

Center = (2, 3)

radius = 2

Process

1.- Find the equation of the line

              (x - h)² + (y - k)² = r²

-Substitution

              (x - 2)² + (y - 3)² = 2²  

-Simplification

              (x - 2)² + (y - 3)² = 4

-Evaluate the points in the equation

A. (4, 3)

              (4 - 2)² + (3 - 3)² = 4

                   2² + 0 = 4

                           4 = 4     This point lies in the circle

B (-1, 0)

              (-1 - 2)² + (0 - 3)² = 4

                        -3² + (-3)² = 4

                          9 + 9 = 4   This point is not part of the circle

C. (1, 3)

              (1 - 2)² + (3 - 3)² = 4

                 (-1)² + (0)² = 4

                            1 = 4          This point is not part of the circle

D. (3, 4)

              (3 - 2)² + (4 - 3)² = 4

                     1² + 1² = 4

                            2 = 4          This point is not part of the circle

5 0
3 years ago
Read 2 more answers
1 1/3+2 2/3 mixed number
OleMash [197]

1\dfrac{1}{3}+2\dfrac{2}{3}=1+\dfrac{1}{3}+2+\dfrac{2}{3}=(1+2)+\left(\dfrac{1}{3}+\dfrac{2}{3}\right)=3+\dfrac{1+2}{3}\\\\=3+\dfrac{3}{3}=3+1=4

4 0
3 years ago
Read 2 more answers
Solve the system by substitution.
tino4ka555 [31]
As we know y=3/4x-3
Let's put it in the second equation
3/4x-3=1/4x+1
3/4 x -1/4 x = 1+3
2/4 x = 4
X= 4*4/2
x=8
Put x= 8 in first equation
y= 3/4 *8 -3
y=6-3
y=3
Check the answer
3=3/4 *8 -3
3=6-3
3=3
Correct
So(y, x) = (3,8)
Because x=8 and y=3
3 0
3 years ago
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