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2 years ago

Given the figure below, find the values of x and z.

Mathematics

1 answer:

ipn [44]2 years ago

4 0

Answer:

<h2>Value of :</h2><h2>x = 12°</h2><h2>z = 101°</h2>

By using the Vertically Opposite Angles  property

79 = 6x + 7 where value we get is x = 12

By using Linear pair  property

79 + z = 180 where we get the value of z = 101

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What is the value of X in the following parallelogram?

Furkat [3]

Answer: x = 35

Step-by-step explanation:

In a parallelogram, the opposite sides and the opposite angles are equal and parallel.

Also, the consecutive angles in a parallelogram are supplementary. This means that the sum of the consecutive angles is 180 degrees.

Angle (2x - 10) and angle (2x + 50) are consecutive angles. Therefore,

2x - 10 + 2x + 50 = 180

2x + 2x - 10 + 50 = 180

4x + 40 = 180

4x = 180 - 40 = 140

x = 140/4

x = 35

7 0

2 years ago

One leg of a right triangle is 7 inches longer than the other leg, and the hypotenuse is 35 inches. Find the lengths of the legs

lilavasa [31]

Answer: 21, 28

Step-by-step explanation:

Side #1 = x
Side #2 = x + 7
Hypotenuse = 35

Use the Pythagorean Theorem $a^{2}+b^{2}=c^{2}$ :

a = x
b = x + 7
c = 35

Substitute in the values & solve:

$x^{2}+(x+7)^{2}=35^{2}\\x^{2}+x^{2}+14x+49=1225\\2x^{2}+14x+49-1225=0\\2x^{2}+14x-1176=0\\2(x^{2}+7x-588)=0\\2(x + 28)(x - 21)=0\\x_{1}=-28, x_{2}=21$

-28 is not a possible solution since you can't have negative inches...

a = x = 21
b = x + 7 = 21 + 7 = 28
c = 35

6 0

2 years ago

What value of x makes the equation 7x-2(3x+1)=4x-(3-x)-19 true?

nekit [7.7K]

Answer:

X=5

Step-by-step explanation:

3 0

2 years ago

Over a period of 3 hours, the outside temperature changed an average of -2.25 fahrenheit per hour. select the correct sentence t

enyata [817]

Answer:

Step-by-step explanation:

-2.25 x 3 = 6.75

the temperature decreased by 6.75 after 3 hours

4 0

2 years ago

Read 2 more answers

How does the value of the digit 2 in 2000 compare with the value of the digit 2 in 200

iragen [17]

Answer:

The value of 2 in 2000 is 10 times greater than the value of 2 in 200

Step-by-step explanation:

from the value of 2 in 200 to reach 2000, it takes 10 times as much because we're moving only one place (which is the thousand's digit).

6 0

2 years ago