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mr_godi [17]
4 years ago
7

Find the value of x in the equation

Mathematics
2 answers:
Crazy boy [7]4 years ago
7 0

Answer: 10.5 (equivalent to the fraction 21/2)

To get this answer, you set 10x-15 equal to 90 and solve for x. The reason why these two angles are equal is because they are vertical angles.

10x-15 = 90

10x-15+15 = 90+15 ...... add 15 to both sides

10x = 105

10x/10 = 105/10 ...... divide both sides by 10

x = 105/10

x = 21/2 is the answer in fraction form

x = 10.5 is the answer in decimal form

Lelechka [254]4 years ago
7 0

You'll use what the vertical angles theorem tells you to solve this.

The vertical angles theorem says that vertical angles are congruent, which is what the angle with (10x-15) and the opposite angle (90) are.

Since they are vertical angles, they are congruent so you can set up an equation where they are equal and solve for x.

(10x-15) = 90

1. Get rid of the parentheses.

10x-15 = 90

2. Add 15 to both sides.

10x = 105

3. Divide both sides by 10.

x = 10.5

Answer is:

x = 10.5

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Step-by-step explanation:

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5 0
4 years ago
The base of a triangle is 4 inches more than 8 times its height.
Zanzabum

Answer:

12

Step-by-step explanation:

The area of a triangle is given by A=1/2bh, and from the first line give sus b=4+4h. Therefore we get A=(1/2)(4+4h)h=12. Or (2+2h)h=12. We can simplify further by dividing both sides by 2, and we get (h+1)h=6 or multiplying out h^2+h=6 which gives h^2+h-6=0. This we can factor into (h+3)(h-2)=0 or h=2, or -3. We have a positive hight, therefore, h=2 which gives us a base of b=4+4*2=12. So a base of 12inches. and a hight of 2 inches. We can plug this into the original area formula and see we get an answer of 12

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For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
jarptica [38.1K]

Answer:

xx=\sqrt{19^2-10^2}=\sqrt{361-100}  =\sqrt{261} \approx16.15549\\\approx16.16

Step-by-step explanation:

x=\sqrt{19^2-10^2}=\sqrt{361-100}  =\sqrt{261} \approx16.15549\\\approx16.16

4 0
3 years ago
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