The image shown has two triangles sharing a vertex:
What is the measure of ∠WZX, and why?

A. y over 2, because Triangle UVW is congruent to triangle WXZ
B. y, because Triangle UVW is similar to triangle ZXW
C. y + 50 degrees, because Triangle UVW is similar to triangle ZXW
D. 130 degrees − y, because Triangle UVW is congruent to triangle WXZ

The Image Shown Has Two Triangles Sharing A Vertex: What Is The Measure Of WZX, And Why?A. Y Over 2,

Answers

Answer 1
The answer is B. Angles UVW ad ZXW are congruent, and because of the vertical angle theorem, angles UWV and XWZ are congruent. So if 2 angles in each triangle are congruent to each other, then the triangle angle sum theorem tells us that the third angle also has to be congruent in each.  BUT congruent angles do not make the triangles congruent because the length of the sides can change and the measures of the angles remain unchanged. Therefore, the triangles can only be said to be similar (if the lengths of the sides were given we could determine whether they were actually congruent, but they're not so we don't know for sure if they are congruent, only that they are similar). So B.
Answer 2

The measure of ∠WZX is B; y, because Triangle UVW is similar to triangle ZXW.

What is vertically opposite angles?

The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

We can see that Angles UVW ad ZXW are congruent,

Then because of the vertical angle theorem; angles UWV and XWZ are congruent.

So if there are 2 angles in each triangle which are congruent to each other, then the triangle angle sum theorem state that the third angle also has to be congruent in each.

BUT congruent angles do not make the triangles congruent due to the length of the sides can change and the measures of the angles remain unchanged.

Hence, The measure of ∠WZX is B; y, because Triangle UVW is similar to triangle ZXW.

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Related Questions

a rectangular school gym has a length of x+24 and a width of x-10. Which measure does (x+24)(x-10) represent?

Answers

l x w = area

 (x+24)(x-10) means (x+24) *(x-10) which is to calculate the area

Answer:  The measure (x+24)(x-10) represents the AREA of the rectangular school gym.

Step-by-step explanation:  Given that a rectangular school gym has a length of (x+24) and a width of (x-10).

We are to find the measure that (x+24)(x-10) represent.

The expression (x+24)(x-10) is the product of the length and breadth of the given rectangular school gym.

Also, we know that

the product of the length and breadth of any rectangle is equal to the area of that rectangle.

Therefore, the measure (x+24)(x-10) represents the AREA of the rectangular school gym.

if H(x)=4x-8 and j(x) = -x solve h{j(3)}

Answers

Answer: -20

-------------------------------------

j(x) = -x
j(3) = -3 ... replace every x with 3

h(x) = 4x - 8
h(j(3)) = 4*( j(3) ) - 8 ... replace every x with j(3)
h(j(3)) = 4*(-3) - 8 ... replace the j(3) on the right side with -3 
h(j(3)) = -12 - 8
h(j(3)) = -20

Which value of k would cause the system of linear equations 35x+14y=119 and 5x+2y=k to have an infinite number of solutions?

Answers

The 2 equations are lines on an x/y plane.  They are going to have an infinite number of solutions if those lines lie on top of each other.  so the first thing you need to do is to get 5x+2y to look like 35x+14y.  To do this we need to multiply both sides of the equation by 7 so 5x+2y=k becomes 35x+14y=7k. Now that the left hand side of both equations are the same we can set the right hand side of the equations equal to each other 119=7k or k = 17.  Hope that helps.

The value of k in the equation is k = 17 and the equation 5x + 2y = 17 and

5x + 14y = 119 has infinite number of solutions

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

35x + 114y = 119   be equation (1)

Let the second equation be represented as B

Now , the value of B is

5x + 2y = k

For the system of equations to have infinite number of solutions ,

equation (1) = equation (2)

So , 5x + 2y = 35x + 114y

And , 7 ( 5x + 2y ) = 35x + 114y

So , the value of k = 119/7

On simplifying the equation , we get

k = 17

Therefore , the value of k is 17

Hence , the value of k from the equation is k = 17

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Line GJ is tangent to point A at point G.

What is m∠AGJ?

Answers

m<AGJ = 90 degrees

hope it helps
GJ is a tangent
АG is a radius
A tangent line to a circle is perpendicular to the radius drawn to the tangent point   ⇒ m∠АGJ = 90°

A garden has 8 white roses and 11 red roses. One rose is plucked from the garden and then one more rose is plucked without replacement let the event w=plucking a white rose for the first time and event r=plucking a red rose for the second time in two or more complete sentences explain the meaning of probabilities p(r/w) and p(w/r) do they have the same value

Answers

P(r/w) is the probability of picking a red rose at first picking and a white rose at second picking.
P(w/r) is the probability of picking a white rose at first picking and a red rose at second picking.

P(r/w) = [tex] \frac{11}{19} [/tex]×[tex] \frac{8}{18} [/tex] = [tex] \frac{88}{342} [/tex]
P(w/r) = [tex] \frac{8}{19} [/tex]×[tex] \frac{11}{18} [/tex]=[tex] \frac{88}{342} [/tex]

Notice that the second fraction is out of 18 because the second picking of rose will be out of 18 since the first rose is not replaced.

P(r/w) equals to P(w/r)

Rewrite each of the following linear equation in equivalent y=mx+b

what's the slope and the y-intercept

HELP ME PLZZ

Answers

You are given a line is standard form, so to transform it to the slope-intercept form, you simply have to solve it for y, and you will have y=mx+b.

2y-3x=10  add 3x to both sides

2y=3x+10  divide both sides by 2

y=1.5x+5,  since y=mx+b, m=slope and b=y-intercept

slope=1.5 and the y-intercept is, technically the point, (0, 5)

A job is shared by 4 workers, w, x, y, and z. worker w does 1/4 of the total hours. worker x does 1/3 of the total hours. worker y does 1/6 of the total hours. what fraction represents the remaining hours allocated to person z?

Answers

1/4 + 1/3 + 1/6 = 3/12 + 4/12 + 2/12 = 9/12 reduces to 3/4...leaving 1/4 for worker z.

answer is : 1/4 hrs was allocated to worker z


the volume of a square pyramid with height 2.4cm is 3.2cm. what is the width of the base of the pyramid?

Answers

The answer is 2.0 cm

1. In triangle ∆PQR, C is the centroid.


a. If CY = 10, find PC and PY

b. If QC = 10, find ZC and ZQ


If PX = 20, find PQ

Answers

Since C is the centroid, therefore:

Segments PZ = ZR;  RY = YQ; QX = XP

A.
If CY = 10, then

PC = 2*CY = 20
PY = PC + CY = 20 + 10 = 30
Answer:      PC = 20      PY = 30

B.
If QC = 10, then

ZC = QC/2 = 5
ZQ = ZC + QC = 5 + 10 = 15
Answer:      ZC = 5        ZQ = 15

C.
If PX = 20
Because the median RX bisects side PQ, therefore PX = QX = 20
PQ = PX + QX = 40
Answer:      PQ = 40

Mary creates a table of values for a function and plots the points. She finds that the difference in the y values is the same. What kind of function did she graph? linear quadratic square root exponential

Answers

Linear. When the difference of y values are the same in a function, they are linear.

Answer:

A

Step-by-step explanation:

Which graph represents the function f(x) = (x – 5)2 + 3?

Answers

The first graph is the answer. (The one with the parabola in the first quadrant)
it is the first graph

Darren drank 2 liters of water.How much millilliters of water did he drank

Answers

1 liter = 1,000 ML
2 X 1,000 = 2,000 ML
2,000 milliliter is your answer

How many liters of wine can be held in a wine barrel whose capacity is 28.0 gal? 1 gal = 4 qt = 3.7854 l?

Answers

This is the concept of conversions;
given that:
1 gal=4 qt=3.7854 l
then:
28 gal will be equivalent to the following number of liters;
28/1*3.7854
=105.9912 l
thus the number of liters of wine that can be held in a wine barrel is 105.99 l

Answer:

105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

Let x be the liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Given that:

1 gal = 3.7854 l

then

by definition of proportions;

[tex]\frac{1}{3.7854} =\frac{28}{x}[/tex]

By cross multiply we get;

[tex]x = 28 \times 3.7854 = 105.9912[/tex] liters

Therefore, 105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

If it rained on 3 days out of 20 days,on what percent of the days did it rain

Answers

It rained 3 out of 20 days.

3/20 = 0.15

Move the decimal two points to the right to get the percent.

It rained 15% of the days.

Write each whole number using words.

a) 325



b) 9,542,006


Answers

a) three hundred twenty five
b) nine million five hundred forty-two thousand and six

What is the equation of the blue graph?

Answers

since the  blue graph is 2 lines to the left of the red graph, that would mean it moved -2

 so the equation needs to include -2

the correct answer is C

We can show that triangle abc is congruent to triangle a prime b prime c prime by translation of

Answers

Final answer:

To show congruence by translation, we need to show that corresponding sides and angles of the triangles are equal.

Explanation:

To show that triangle ABC is congruent to triangle A' B' C' by translation, we need to show that they have the same shape and size.

Translation is a transformation that moves every point of a figure the same distance in the same direction. Therefore, to show congruence by translation, we need to show that the corresponding sides and angles of the two triangles are equal.

For example, if we have AB || A'B' and AB = A'B', BC || B'C' and BC = B'C', and AC || A'C' and AC = A'C', then we can conclude that triangle ABC is congruent to triangle A' B' C' by translation.

Given 2 events a and b, and that p(a)=0.30, p(b)=0.45, p(a u b)=0.60. find the probability p(a∩b).

Answers

p(a U b) = p(a) + p(b) - p(a ∩ b)

<=>

p(a ∩ b) = p(a) + p(b) - p(a U b)

I let you do the maths :)

Which of the following equations has only one solution?
x2 + 4x + 4 = 0
x2 + x = 0
x2 - 1 = 0

Answers

x^2 + 4x + 4 = 0
(x+2)^2 = 0
x+2 = 0
x = -2

answer
this one has only one solution
The answer is the first one. 

1) x = {-2}
2) x = {0, -1}
3) x = {1, -1}

The first one only has one solution


A cone-shaped hat is shown:

A cone is shown with slant height 18 cm and radius 5.7 cm. The unknown height is labeled with a question mark, and the line joining the tip of the cone to the base is perpendicular to the base.

What is the approximate height of the hat?
3.51 centimeters, because height = Square root of the difference of 18 and 5.7
17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7
18.88 centimeters, because height = Square root of the sum of the squares of 18 and 5.7
4.87 centimeters, because height = Square root of the sum of 18 and 5.7

Answers

By the Pythagorean Theorem:

h^2=x^2+y^2

18^2=5.7^2+y^2

y^2=18^2-5.7^2

y^2=291.51

y=√291.51

y≈17.07

It's the second explanation down...

Answer:

B. 17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7.

Step-by-step explanation:

The formula of height (h) of a cone is: [tex]h=\sqrt{l^2-r^2}[/tex], where,

[tex]l[/tex] = Slant height of cone,

[tex]r[/tex] = Radius of cone.

Upon substituting slant height = 18 cm and radius = 5.7 cm, we will get,

[tex]h=\sqrt{(18)^2-(5.7)^2}[/tex]

[tex]h=\sqrt{324-32.49}[/tex]

[tex]h=\sqrt{291.51}[/tex]

[tex]h=17.0736639301586348\approx 17.07[/tex]

Therefore, the height of cone is 17.07 cm and option B is the correct choice.

five friends go out to lunch and they decide to split the bill evenly the bill comes out to 57.25 how much does each person owe?

Answers

57.25/5 friends=$11.45 each

Order of operations? How to do?
Thanks

Answers

parenthesis first (8+5) = 13

35/5 = 7

13x7 +6

13x 7 = 91 +6 = 97

Write the interval (3,20] as an inequality and using set notation

Answers

The interval written could be the domain (x-values) or the range (y-values). I can't make an equation if either one of them is given. The set notation maybe expressed in symbols of (), [], or combination of both. The () is used when the domain or range is not inclusive. Otherwise, you use the [] symbols. In this case, the domain or range starts from any number greater than 3 to 20, inclusive.

True or false X=4 for both 1. 3x+10-(5+3)=14 2. 3x+10(3x-2)=60

Answers

the answer to your question is false because if you substitute 4 for x you'll see that it's false
So, to find if X = 4 for both equations provided, we need to substitute the Xs in the equations and see if they balance out.

For the first equation,

3x+10-(5+3)=14
Every time we see an X, we need to place a 4 in its place.
3(4)+10-(5+3)=14

Using the order of operations, PEMDAS, we start to solve the equation.
3(4)+10-(5+3)=14
12 + 10 - (5+3) = 14
12 + 10 - (8) = 14
12 + 10 - 8 = 14
22 - 8 = 14
14 = 14
TRUE.

For the first equation, x does indeed equal 4.
However, we still need to see if x equals 4 for BOTH of the equations.

3x+10(3x-2)=60
3(4) + 10(3(4)-2) = 60
12 + 100 = 60
112 = 60
This isn't true.

To conclude, the answer is false. X doesn't equal 4 for both of the equations provided.

Hope I could help you out!
If my answer is incorrect, or I provided an answer you were not looking for, please let me know. However, if my answer is explained well and correct, please consider marking my answer as Brainliest!  :)

Have a good one.
God bless!

In a programming team of 20 persons, 1/4 are women and 3/4 are men. to obtain a team with 40% women, how many women should be hired?

Answers

Final answer:

To obtain a team with 40% women in a programming team of 20 people, we need to find out how many women should be hired. Currently, there are 5 women in the team (1/4 of 20). By setting up an equation and solving for x, we find that 5 women should be hired.

Explanation:

To obtain a team with 40% women in a programming team of 20 people, we need to find out how many women should be hired. We know that currently 1/4 of the team are women, which means there are 5 women in the team (20 * 1/4 = 5). To find out how many women should be hired, we subtract the number of women in the team from the target number of women in the team:



Number of women to be hired = Target number of women - Current number of women



Number of women to be hired = 0.4 * (20 + x) - 5



Where x is the number of women to be hired. Now we can solve for x:



0.4 * (20 + x) - 5 = x



Distribute and simplify:



8 + 0.4x - 5 = x



Combine like terms:



0.4x - x = 5 - 8



0.6x = 3



Divide both sides by 0.6:



x = 3 / 0.6



x = 5



So, 5 women should be hired to obtain a team with 40% women.

The following table shows the data collected from 4 random samples of 50 students from a small middle school regarding the type of television shows they prefer to watch:


Television Show Preferences
Sample News Music Movies Cartoons Total
1 2 12 6 30 50
2 3 10 5 32 50
3 5 13 7 25 50
4 6 19 8 17 50


Based on the results in the table, which type of television show is preferred by the majority of students in the samples?
News
Music
Movies
Cartoons

Answers

Cartoons 
If we add up the numbers
Number who prefer cartoons =  30+32+25+17  = 104 out of 200

Television show preferred by the majority of students in the samples is Cartoon

What is majority ?

Majority is  More than half or just the larger part.

What is addition?

The addition of two whole numbers results in the total amount or sum of those values combined

Total number of students= 50+50+50+50 =200 students

Total number of student who prefer news =2+3+5+6=16 students

Total number of student who prefer  music = 12+10+13+19 = 54 students

Total number of student who prefer movies =  6+5+7+8 = 26 students

Total number of student who prefer cartoon = 30+32+25+17 = 104 students

Hence, television show preferred by the majority of student in the samples is Cartoon

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Solve log 6 60 - log 6 30

A.) 2
B.) log 6 2
C.) 5
D.) log 6 30

Answers

[tex]log_a(b) - log_a(c) = log_a(\frac{b}{c})[/tex]

Using that formula we get:

[tex]log_6(60) - log_6(30) = log_6(2)[/tex]

so B is your answer :)

If the diagonals of a quadrilateral do not bisect each other then the quadrilateral could be a

Answers

Trapezoid. The diagonals of all parallelograms bisect each other. Trapezoid are not parallelograms.

The diagonals of a quadrilateral do not bisect each other then the quadrilateral could be a scalene trapezoid

What is a trapezoid?

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

For a scalene trapezoid ,

The four sides are of unequal length

The angles of the scalene trapezoid are not equal

The shortest distance between two parallel sides is known as the altitude

The sides of the scalene trapezoid does not bisect each other

Hence , the diagonal is a scalene trapezoid

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WILL GIVE A BRAINLIEST IF UR RIGHT!! PLEASE HELP!!

The volume of a sphere is found using the formula V=4/3nr^3. The area of a circle is found using the formula A=nr^2. What is the ratio of the volume to the area?

A.
4/3r
B.
4/3r^5
C.
3/4r
D.
4/3nr

Answers

The answer is A. 4/3r

- Your welcome
It's A. 4/3r,Hope It Helps! :3

Assume that y varies inversely with x. If y=12 when x=5, find y when x=3

Answers

Inversely variation means xy = c, where c is a constant

Since when y = 12 x = 5, then c = 12*5 = 60

So xy = 60

Now when x = 3, y = 60/3 = 20
Final answer:

When y varies inversely with x, they follow the rule y = k/x. If y=12 when x=5, the constant 'k' is found to be 60. Using this constant, when x=3, y is found to be 20.

Explanation:

In mathematics, when we say that y varies inversely with x, it means that as x increases, y decreases proportionally, and vice-versa. Y and x follow the rule y = k/x, where k is a constant number.

Given that y = 12 when x = 5, we can find the constant by multiplying x and y together, so: k = x * y = 12 * 5 = 60.

Now that we have our constant, we can find y when x = 3 by rearranging the formula to y = k / x which gives us: y = 60 / 3 = 20. So, when x is 3, y is 20.

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