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

Answers

Answer 1

Answer:

Answer:

$\boxed{\boxed{x^(\circ)=78^(\circ)}}$

Step-by-step explanation:

Given that, O is the center of the circle and PQ is a tangent to the circle at point Q. OQ is a radius of the circle.

We know that, a tangent to a circle is a line which just touches the circle. And the angle between the tangent and radius is 90°.

Hence, ΔOQP is a right angle triangle. We know that the sum of the measurements of all the 3 angles of a triangle leads to 180°. So,

$\Rightarrow m\angle O+m\angle Q+m\angle P=180^(\circ)$

$\Rightarrow x^(\circ)+90^(\circ)+12^(\circ)=180^(\circ)$

$\Rightarrow x^(\circ)=180^(\circ)-90^(\circ)-12^(\circ)=78^(\circ)$

Answer 2

Answer: Angle q is right angle so you would first do 12+90=102 then you would do 180-102=78 so x=78

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A. Linear PairB. Reflexive Property
C Vertical Angles are congruent
D. Alternate Interior Angles are Congruent
E. Given

Answers

C. Vertical angles are congruent

Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina?

Answers

For Rita
=> 11 dollars (r) + 32 dollars - r is for the number of hours she worked and the additional 32 dollars is for her over time.
For TIna
=> 11(t) - T is for the number of hours tina worked in the supermarket.

Answer: Equation for Tina be $11t$

Equation for Rita be $11r+32$

Step-by-step explanation:

Since we have given that

Number of hours Rita worked for = r

Number of hours Tina worked for = t

Cost per hour = $ 11

Amount for overtime Rita earned = $32

So, the equation expressing total weekly wage for Tina be $11t$

The equation expressing total weekly wage for Rita be $11r+32.$

Is a square a cross section of a rectangular and triangular prism?

Answers

Answer:

No, a square is NOT the cross section of a rectangular and triangular prism.

Step-by-step explanation:

Prisms have a uniform cross-section and are named after their cross-section. Hence, the cross-section of a rectangular prism is a rectangle and the cross-section of a triangular prism is a triangle. The only prism with a square cross-section is a cube.

What is the product of -6.8 to the second power

Answers

6.8*68 = $6.8^(2)$
so 6.8*6.8=46.24

True or false questions basic math1.the total surface area of a cube each of whose edges is 12 inches long is 6 square feet

2.if the tank in a car holds 15 gallons of gasoline, the volume of the tank is one cubic foot

3.two cones have equal height. if the base of one cone is a circle and the base of the other cone is a square, the two cones cannot have equal volumes

4.the diameter of the moon is approximately one-fourth the diameter of earth, hence the volume of the moon is one-fourth the volume of earth.

each of these questions are true or false.. could use the help tonight please

Answers

Answer:

1. True

2. False

3. False

4. False

Step-by-step explanation:

1. It is true because12 inch is equal to 1 feet, so the area of each side of the cube is 1 square feet, adding the 6 sides of the cube you have a surface area of 6 square feet.

2. It is false because 7.5 gallons is equal to 1 cubic foot.

3. It is true because both cones have equal height but the fact that the bases are different make the volume different.

4. Is false because when you calculate the volume of a sphere you have to raise the radius (half the diameter) to the cube, so there is not a direct relation.

1. False
2. False
3. True
4. False

and #3 if you think about it is kind of a trick question. If the base of the "cone" is a square than its not a cone to begin with. It would be a square pyramid.

What is the area of a rectangle with side of length 4/5 foot and 1/2 foot.

Answers

you multiply 4/5 and 1/2 and you get 4/10 which is simplified to 0.4
which equals..
0.4 feet^2 in area

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