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klasskru [66]
3 years ago
8

Look at the figure below: A circle is shown with the center O. OP is a segment joining center O to a point P on the circle. MN i

s a line touching the circle in Point P. Line ST is shown intersecting the circle in points Q and R. Which is the tangent to the circle? Segment OP Line ST Line MN Segment QR
Mathematics
2 answers:
V125BC [204]3 years ago
8 0
So if OP is a segment joining center O to point P, the MN is touching the circle on point P so it would be line MN.
Citrus2011 [14]3 years ago
7 0

Answer: Line MN

Step-by-step explanation: Line MN is tangential to the circle at point P. This means that Line MN touches the circle at exactly one point, point P without entering the circle's interior. Tangents are straight line and the point at which Line MN touches the circle is known as the point of tangency. This tangent is perpendicular to the radius of the circle at the point of tangency (point P). Tangents are also base principles to many theorems, constructions and proofs.

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If $-2 < x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.
kotegsom [21]

Answer: (-9, 16]

This is the interval from -9 to 16. Exclude -9 but include 16.

=====================================================

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

-2 < x \le 3

5(-2) < 5x \le 5(3)

-10 < 5x \le 15

-10+1 < 5x+1 \le 15+1

-9 < 5x+1 \le 16

This converts to the interval notation  (-9, 16]

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

3 0
3 years ago
Which of the following is the equation of a line that passed though the points (2,5) and (4,3)
STatiana [176]

The correct answer is C as it has the same line of equation. We can make this clear by verifying that these two points make the same equation or not. So as we can see if we calculate the gradient using the formula y2 - y1 / x2 - x1.

As we now know that the gradient is -1. We can simply put any one point in the equation y - y1 = m(x - x1) to get the line of equation. WHen we calculate the line of equation it come out to be y = -x + 7

4 0
3 years ago
1) At a store, 40% of all the refrigerators are silver. There are 50 silver
olga nikolaevna [1]
There are 125 refrigerators in total.

Explanation:

Set up an equation:

x(.40)= 50
, where x is the number of refrigerators

Solve for x
7 0
2 years ago
Please help giving Brainiest!!
Firdavs [7]

Answer:8 shaded in size 1/4 the area 1/2

Step-by-step explanation:if wrong sorry.

8 0
2 years ago
Tim is 9 years older than 3 times John’s age. If John is 13 years old, how old is Tim?
oee [108]

Answer:

48

Step-by-step explanation:

3 times 13 (john's age) = 39

39 + 9 = 48 (nine years older than 3 times (39) so you add 9)

Therefore, Tim is 48.

4 0
3 years ago
Read 2 more answers
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