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deff fn [24]
3 years ago
8

Two lines intersect at a point. The vertical angles formed are supplementary.

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

we know that

<u>Vertical angles</u> are a pair of opposite and congruent angles formed by intersecting lines.

so

Let

x1---------> angle vertical 1

x2---------> angle vertical 2

x1=x2 ------> equation 1

in this problem

if the vertical angles formed are supplementary

that means that

x1+x2=180 ------> equation 2

substitute equation 1 in equation 2

x1+x1=180

2x1=180

x1=180/2

x1=90 degrees

therefore

<u>the answer is</u>

The vertical angles are right angles



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Answer:

30 square inch

Step-by-step explanation:

area \: of \: base = 6 \times 5 = 30 \:  {inch}^{2}  \\

6 0
3 years ago
Which of the following reveals the minimum value for the equation 2x^2 − 4x − 2 = 0?
12345 [234]

Answer:

2(x-1)^{2}=4

Step-by-step explanation:

<u><em>The options of the question are</em></u>

2(x − 1)2 = 4

2(x − 1)2 = −4

2(x − 2)2 = 4

2(x − 2)2 = −4

we have

2x^{2} -4x-2=0

This is a vertical parabola open upward

The vertex represent the minimum value

The quadratic equation in vertex form is

y=a(x-h)^2+k

where

a is a coefficient

(h,k) is the vertex

so

Convert the quadratic equation in vertex form

Factor 2 leading coefficient

2(x^{2} -2x)-2=0

Complete the squares

2(x^{2} -2x+1)-2-2=0

2(x^{2} -2x+1)-4=0

Rewrite as perfect squares

2(x-1)^{2}-4=0

The vertex is the point (1,-4)

Move the constant to the right side

2(x-1)^{2}=4

3 0
3 years ago
Can somebody answer this?
allsm [11]

Let us find the area of the triangle first.

6 x 8 / 2 = 24 ft²

Now we can do the semi circle. Note that it is a semi circle and not a circle.

1/2π(4²) = 8π = 25.12 ft²

Add the areas up to find the area for the figure.

24+25.12 = 49.12 ft²

5 0
3 years ago
How do I find the volume of this sphere while using 3.14
yawa3891 [41]
Vsphere=(4/3)pir³

d/2=r
d=6.2
6.2/2=r=3.1

vsphere=(4/3)pi3.1³
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7 0
3 years ago
1. Find the value of x<br>2. Using complete sentences, describe your ​
aleksley [76]

Answer:

x = 40

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Consider the triangle on the left and calculate the third angle

Subtract the sum of the 2 angles from 180

third angle = 180° - (75 + 50)° = 180° - 125° = 55°

Consider the triangle on the right

The third angle = 55° ( vertical angles )

Subtract the sum of the 2 angles from 180

x = 180 - (55 + 85) = 180 - 140 = 40

7 0
3 years ago
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