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3 years ago

What is the value of x?

Mathematics

2 answers:

andrey2020 [161]3 years ago

7 0

Answer:

x = 30°.

Step-by-step explanation:

To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.

Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.

There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:

180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.

(x + 10) + (x + 10) = 80

2x + 20 = 80

2x = 60

x = 30°.

Dimas [21]3 years ago

7 0

Answer:

x=30

Step-by-step explanation:

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Y=|x−3|+|x+2|−|x−5|, if 3

denis-greek [22]

Answer:

Step-by-step explanation:

I take it you want x = 3

y = abs(3 - 3) + abs(3 + 2) - abs(3 - 5)

y = 0 + 5 - abs(-2)

y = 0 + 5 - (2)

y = 0 + 5 - 2

y = 3

If you meant something else please leave a note.

Now all you do is redo the problem for 5

y = abs(5 - 3) + abs(5 + 2) - abs(5 - 5)

y = abs(2) + abs(7) - abs(0)

y = 2 + 7 - 0

y = 9

Now set up your inequality

3 < y < 9

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Sholpan [36]

Answer:

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Step-by-step explanation:

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Order these equations to match the steps used to solve the equation 2(5x - 3) = 8.

Romashka-Z-Leto [24]

Answer:

x = 7/5 equivalent to 1 2/5

Step-by-step explanation:

Given equation:

2(5x - 3) = 8

Step 1: Distributive property.

10x - 6 = 8

Step 2: Addition property of equality

10x - 6 = 8

Add 6 to both sides

10x = 14

Step 3: Division property of equality

Divide both sides by 10 to solve for x

10x = 14

x = 14/10

= 7/5

x = 7/5

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The population of a city has decreased by 33% since it was last measured. If the current population is 20,100, what was the prev

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The answer is 30,000
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First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle, $a^2+b^2=c^2$ , where c is the hypotenuse and a and b are the sides of the triangle.