<span>Opposite angles of a parallelogram are equal, so:

5x - 28 = 3x - 10

2x = 18

x = 9

Plug x = 9 into the equations

m angle 2 = 5x - 28 = 5 * 9 - 28 = 17

m angle 4 = 3x - 10 = 3 * 9 - 10 = 17

The sum of all angles in a parallelogram is 360,

and we know: m angle 1 = m angle 3, so:

m angle 1 + m angle 2 + m angle 3 + m angle 4 = 360

m angle 3 + 17 + m angle 3 + 17 = 360

2 * (m angle 3) = 360 - 17 - 17 = 326

m angle 3 = 163</span>

6 0

3 years ago

Ed needed to extend the string on his kite. The current string was seven and three fourths feet. He cut a piece of string that m

soldi70 [24.7K]

The new length of the string will be 16 1/4 feet. Then the correct option is B.

<h3>What is the length?</h3>

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Ed needed to extend the string on his kite. The current string was seven and three-fourths feet that is (7 3/4).

The mixed fraction number is coverted into a decimal number.

7 3/4 = 7.75 feet

He cut a piece of string that measured 8.5 feet and added it to the existing string.

Then the new length of the string will be

L = 7.75 + 8.5

L = 16.25

L = 16 1/4 feet

The new length of the string will be 16 1/4 feet. Then the correct option is B.

More about the distance link is given below.

brainly.com/question/26711747

#SPJ1

4 0

2 years ago

Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1)

Naddika [18.5K]

Answer:

$x^{2} +y^{2} +(-8)\times x+ (-6)\times y = 0$

Step-by-step explanation:

General equation of circle is $x^{2} +y^{2} +2\times g \times x+2\times f\times y+c = 0$ ---------------------(1)

This circle passes through the given three points, (1,7) , (8,6) and (7,-1).

Substitute (1,7) in (1),

1 + $7^{2} +2\times g\times 1 + 2\times f\times 7 +c$ =0

2g + 14f + c = -50 -------------(2)

Substitute (8,6) in (1),

$8^{2} + 6^{2} +2\times g \times 8+2\times f\times 6 +c=0$

16g + 12f + c = -100 -----------(3)

Substitute (7,-1) in (1),

$7^{2} + (-1)^{2} +2\times g \times 7+2\times f\times (-1) +c=0$

14g - 2f + c = -50 ---------------(4)

Solving (2),(3) amd (4) simultaneously,

g = -4

f = -3

c = 0

Equation of circle is

$x^{2} +y^{2} +(-8)\times x+ (-6)\times y = 0$

7 0

3 years ago