Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x.

Mathematics

1 answer:

AlekseyPX4 years ago

7 0

Hello!

A triangle is 180 degrees, and you are given one of the angles, which is ∠P = 26 degrees.

Angle Q is a right angle, and this triangle is therefore a right triangle, so one angle has to be 90 degrees, and the other two angles are acute.

So we can create a simple equation:

m∠P + m∠Q + m∠x = 180 degrees

26 + 90 + m∠x = 180

116 + m∠x = 180

-116 - 116

m∠x = 64 degrees.

The measure of angle x is equal to 64 degrees, which is the fourth choice.

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Molodets [167]

It is c becase x<8 translates to x is less than 8

8 0

3 years ago

Can you give me the answers to all of them, thank you

JulsSmile [24]

Answers:
22.)D
23.)D

How?
Explaining number 22:
Well, let’s disprove each one of them.
A.) A is saying 6x=7. Even if we simplify that, it wouldn’t make any sense in what we are trying to do. That equation is equal to x=0.86(estimated to nearest tenth)

B.) B says that 6x=3. When we simplify this, we get x=0.5. That isn’t the number we want, so we know B isn’t right

C.) C is equivalent to 2x+2=6. Let’s simplify since it is multi-step.
2x+2=6
2x=6
x=3
Since we want x to be six, this wouldn’t be the answer either.

D.) D is saying 2x=12. When simplified, this becomes x=6. BINGO THERE IS OUR ANSWER

Explaining 23:
For this, I also used process of elimination.

Remember that x is equal to 2.5

A.)
x+3=5.5

2.5+3=5.5
5.5=5.5
That works.

B.)
2x=5
2(2.5)=5
5=5
That works.

C.)
2.5/2=1.25
1.25=1.25
That works

D.)
x-10=7.5
2.5-10=7.5
-7.5=7.5
THAT DOESNT WORK THERE IS OUR ANSWER

5 0

3 years ago

5x - 12 = 13, solve using algebra.

ella [17]

Step-by-step explanation:

5x-12=13

5x -12 =13

+12=+12

5 =. 5

x=5

3 0

3 years ago