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Lorico [155]
2 years ago
8

Line segments XY and ZY are tangent to circle O.

Mathematics
2 answers:
REY [17]2 years ago
3 0
It would be an Isosceles triangle
vlabodo [156]2 years ago
3 0

Combine points X and O to get segment XO and combine points Z and O to get segment ZO. Segments XO and ZO are radii of the given circle, then they are congruent. Thus, the triangle XOZ is isosceles, that gives you \angle OXZ\cong \angle OZX.

Since segments XY and YZ are tangent to the circle, then m\angle YXO=m\angle YZO=90^{\circ}.

Consider angles ∠ZXY and ∠XZY:

m\angle ZXY=m\angle OXY-m\angle OXZ,\\m\angle XZY=m\angle OZY-m\angle OZX.

Taking into account that

m\angle OXY=m\angle OZY,\\ m\angle OXZ=m\angle OZX,

you have

m\angle ZXY=m\angle XZY.

If twoo angles adjacent to the side are congruent, then this side is a base of isosceles triangle.

Answer: correct choice is B.

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Which has the larger area, a square with sides that are x +1 units long or a rectangle with a length of x +2 units and a width o
swat32

Answer:

A. Square

Explanation:

The square with sides: x+1

Has an area of: (x+1)^2

The rectangle with sides: x+2 and x

Has an area of: x(x+2)

So we simplify the square: (x+1).(x+1)= x^2+2x+1

Simplifying the rectangle: x^2+2x

Therefore the square area is larger by one unit.

Hope you get it!

6 0
3 years ago
Emma starts at one end of a 45-mile-long bike trail. After
aleksley [76]

Answer:

She has already reached the end of the trail.

Step-by-step explanation:

216 is a greater number than 45 miles

8 0
2 years ago
A man travelled 3/5 of his journey by rail, 1/4 by a taxi, 1/8 by a bus and the remaining 2 km on foot.What is the length of his
docker41 [41]
Hello friend,here is the solution

<span>Let x be the total distance </span>

<span>Distance travelled by rail = 3/5 x </span>

Distance travelled by taxi = 1/4 x

<span>Distance travelled by bus = 1/8 x </span>

<span>The equation we obtain is </span>
========================

<span>x = 3/5 x + 1/4 x + 1/8 x +2 </span>

______________________________________

<span>hope this solution helps you......</span>
7 0
3 years ago
Find the slope, Y-intercept, and equation (make sure there is no decimals if there is a decimal make it into a fraction)!
adelina 88 [10]

Answer:

Slope is 5/3

y-intercept = -3

y = 5/3x - 3

Step-by-step explanation:

To find the slope, take to coordinates and use the equation below

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

7-2 = 5

6-3= 3

Now you have your slope which is 5/3

Then take the slope and input it into point slope form to get your y-intercept.

y-y₁=m(x-x₁)

y-2 = 5/3(x-3)

y-2=5/3x-5

add two to both sides to get Y by itself

y = 5/3x - 3

now you have your y-intercept, which is -3

Then check your answer by inputing two different coordinates for X and Y

7 = 5/3(6)-3

7=7

12= 5/3(9)-3

12=12

6 0
3 years ago
Given the Formula K equals LMN what is the formula for m
pashok25 [27]
K = LMN
We divide both sides by LN:-
M = K / LN
3 0
2 years ago
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