Line WZ and Line XR are diameters of circle C. The diagram is not drawn to scale. What is the measure of ZWX?

Help with this math problem

marishachu [46]

see explanations

Step-by-step explanation:

Formula for mid-point is;

$midpoint=((x_1+x_2)/2,(y_1+y_2)/2)$

1.Given S(-3,4), U(-3,0) and T(5,0) then finding the mid-points

SU = [(-3+-3)/2,(4+0)/2] =(-3,2)

TU= [(-3+5)/2,(0+0)/2] =(1,0)

ST=[(-3+5)/2,(4+0)/2]=(1,2)

2.Mid-point formula for this case given W(-5,1) and Z(3,3) will be;

Midpoint = [ (x₁+x₂)/2,(y₁+y₂)/2]

Midpoint= [(-5+3)/2 ,(1+3)/2]

Midpoint=(1,2)

3. Finding the length of segments and the midpoint of the segments

Formula for length of segment, d, is given as;

For C(-1,5) and D(5,1)

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2} \\\\d=\sqrt{(1-5)^2+(5--1)^2} =\sqrt{-4^2+6^2} =\sqrt{16+36} =\sqrt{52} =7.21$

Midpoint of the segment CD will be

[(-1+5)/2,(5+1)/2] = (2,3)

For E (-3,-6) and F(5,0)

$d=\sqrt{(0--6)^2+(5--3)^2} =\sqrt{6^2+8^2} =\sqrt{36+64} =\sqrt{100} =10$

The midpoint for segment EF will be;

[(-3+5)/2 ,(-6+0)/2] =(1,-3)

For L(-4,4) and M(-1,-5)

$d=\sqrt{(-5--4)^2+(-1-4)^2} \\d=\sqrt{-1^2+-5^2} \\\\d=\sqrt{1+25}=\sqrt{26} =5.1$

Learn More

Midpoint of a segment :brainly.com/question/10424143

Distance of a segment :brainly.com/question/11591660

Keywords :midpoint, midpoint formula, segment length, line segment

#LearnwithBrainly

4 0

4 years ago

Determine if each situation represents a proportional relationship. Explain your reason 1. A brownie recipe calls for 3 parts co

Nataliya [291]

Answer:

Lizzy's recipe is not a proportional relationship with the brownie recipe because of the difference in ratio.

Step-by-step explanation:

Brownie recipe:

Cocoa powder = 3 parts

Flour = 2 parts

Ratio of cocoa powder to flour = 3 : 2

Lizzy's recipe:

Cocoa powder = 1 cup

Flour = 1 cup

Ratio of cocoa powder to flour = 1 : 1

8 0

1 year ago

Sheila has 12 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 2 1/4 pounds

NeX [460]

Answer:

6 containers needed

Step-by-step explanation:

Given

$Total = 12\frac{1}{2}\ lb$ ----- Size

$Container = 2\frac{1}{4}\ lb$ ----- Size

Required

Determine the number of containers needed

This question illustrates the knowledge of fraction and division.

To get the number of containers needed, we simply divide the total size by the size of the container as follows;

$Number = Total/Container$

$Number = 12\frac{1}{2}/2\frac{1}{4}$

Convert to improper fractions

$Number = \frac{25}{2}/\frac{9}{4}$

$Number = \frac{25}{2}*\frac{4}{9}$

$Number = \frac{100}{18}$

$Number = 5.5555556$

$Number = 6$ --- Approximated

4 0

3 years ago

Find the zeros of polynomial function and solve polynomials equations.<br> f(x)=x^2-x-90

victus00 [196]

The zeros are:

10 and -9

(ten and negative-nine)

6 0

3 years ago

Which of the following is in order from smallest to largest?

kirill115 [55]

Answer:

-5,-8,-10,1,7

Step-by-step explanation:

6 0

3 years ago