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Mariana [72]
3 years ago
12

Find the slope of each of the lines below:

Mathematics
1 answer:
kolezko [41]3 years ago
3 0
When a line in a slope graph has no rise/run like this one, there is no slope.
The slope is "Undefined".
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1. Find the value of x.<br><br> A. 90<br> B. 80<br> C. 60<br> D. 45
tia_tia [17]

Answer:

A 90

Step-by-step explanation:

multiple ways to prove this.

e.g. since the angle between the two lines from the center of the circle to the 2 tangent touching points is 90 degrees (that is the meaning of these 90 degrees here as the angle of the circle segment defined by the 2 tangent touching points and the circle center), the tangents have the same "behavior" as tan and cot = the tangents at the norm circle at 0 and 90 degrees. they hit each other outside of the circle again at 90 degrees.

another way

imagine the two right triangles of the tangents crossing point to the circle center and the tangent/circle touching points.

the Hypotenuse of each triangle is cutting the 90 degree angle of the circle segment exactly in half (due to the symmetry principle). so the angle between radius side and Hypotenuse is 90/2 = 45 degrees.

that means also the angle of such a right triangle at the tangent crossing point is 45 degrees (as the sum of all angles in a triangle must be 180, we have the remainder of 180 - 90 - 45 = 45 degrees).

the angles of both right triangles at that point are the same, and so we can add 45+45 = 90 degrees for the total angle at the tangent crossing point.

8 0
3 years ago
16 and 17 please I don’t know if it’s the distance formula
Trava [24]

Answer:

#16 = (0, -10)

#17 = (-18, -3)

Step-by-step explanation:

U wouldn't use the distance formula, you would need to use the Midpoint Formula, which is, M = (x1 + x2 / 2, y1 + y2 / 2). For #16, you plug in (4, -5) for M and 8 for x1 and 0 for y1, so the equation should look like this : (4, -5) = (8 + x2 / 2, 0 + y2 / 2). Then separate the equation to make it easier: 4 = 8 + x2 / 2 and the second equation : -5 = 0 + y2 / 2. So let's do the 1st equation, the first step would be to multiply the 2 to both sides. So the equation should look like this, 8 = 8 + x. Then subtract the 8 from both sides and you get 0 as your x. Now moving on to the 2nd equation, you multiply the 2 to both sides, and you get, -10 = 0 + y, as your equation, but since 0 won't affect it, -10 should be your y. Then just use these steps to solve #17, and your answer should be (-18, -3).

6 0
3 years ago
Factor the polynomials 23−162
masha68 [24]

Answer:

-139

Step-by-step explanation:

23-162=

-139

3 0
3 years ago
Seven years from now the age (a) of Jose will be __________. Which expression matches this situation? A) 7a
Vladimir79 [104]
I believe the answer is C. 
Sorry if I'm wrong but I hope this helps.
4 0
3 years ago
Read 2 more answers
1469.52 round to the nearest tenths place
Brrunno [24]

Answer:

1469.5

Step-by-step explanation:

when rounding to whichever place always look at the number to the right of the spot you are rounding to

since "2" is less than 5 we ignore all the numbers after the tenths place

hope this helps!

8 0
3 years ago
Read 2 more answers
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