Which of the following theorems verifies that XYZ - UWV

A. HL
B. AA
C. LL
D. HA

Which Of The Following Theorems Verifies That XYZ - UWVA. HLB. AAC. LLD. HA

Answers

Answer 1

Given:

The figure of two triangle XYZ and UWV.

To find:

The theorem that is used to verify [tex]\Delta XYZ\sim \Delta UWV[/tex].

Solution:

In triangle XYZ,

[tex]m\angle X+m\angle Y+m\angle Z=180^\circ[/tex]        (Angle sum property)

[tex]70^\circ+90^\circ+m\angle Z=180^\circ[/tex]

[tex]160^\circ+m\angle Z=180^\circ[/tex]

[tex]m\angle Z=180^\circ-160^\circ[/tex]

[tex]m\angle Z=20^\circ[/tex]

In triangle XYZ and triangle UWV,

[tex]m\angle Y\cong m\angle W[/tex]                  (Right angles)

[tex]m\angle Z\cong m\angle V[/tex]                  (Equal measures)

Two angles of one triangle are congruent to corresponding angles of another triangle. So, the triangles are similar by AA property of similarity.

[tex]\Delta XYZ\sim \Delta UWV[/tex]           (AA similarity theorem)

Therefore, the correct option is B.


Related Questions

You invest $1800 in an account at 2% per year simple interest. The equation
that represents this scenario is:
A(n) = 1800 + (n - 1)(0.02.1800)
How much will you have in the account in year 5? Round your answer to the
nearest dollar. A. $1944 b. 1980 c. $1836 d. $3240

Answers

the answer is in the picture

help quickly, please!

Answers

Answer:

x^2+22x+121

Step-by-step explanation:

(x)^2+2*x*11+11^2

=x^22x+121

Segment DE has endpoints at D(2, - 8) and E(-4, 4) . If it is dilated about the origin by a factor of 4, which of the following would be the length of its image, D’E’

1.) 6sqrt(5);

2.) 24sqrt(5);

3.) 144sqrt(5);

4.) 10sqrt(5);

Answers

Answer:

answer 2)  24[tex]\sqrt{5}[/tex]

Step-by-step explanation:

after the dilation pt D is (8,-32)

after the dilation pt E is (-16,16)

if you use the distance formula for these two points you get [tex]\sqrt{2880}[/tex] which simplifies to 24[tex]\sqrt{5}[/tex]

How important is career success to you

Answers

Answer:

By having a career goal, you can start to manage your career. You can assess where you are so you know when the time is right to make your next move. That means you can ensure you're ready for change by planning what training and skills you need as well as taking time to develop your profile.

Answer:

By having a career goal, you can start to manage your career. You can assess where you are so you know when the time is right to make your next move. That means you can ensure you're ready for change by planning what training and skills you need as well as taking time to develop your profile

Four lines are shown in the graph below.
Which line has the slope with greatest value?

Answers

so

Step-by-step explanation:

you divide 1 by 2 then time the denominator by 69

Answer:

So B has the greatest value of slope.

Step-by-step explanation:

A has a negative slope, so A is out.

B, C and D all have positive slopes.

B has a greater slope than C, so C is out.

B has a finite slope, and D has a "slope" of infinite, but much of the time it does not count, because we do not make calculations with infinite slopes, and infinity is not a number (value).

So B has the greatest value of slope.

(05.02 MC)
The figure below shows a line graph and two shaded triangles that are similar
4
-15-12-
30
9 12 15
Which staternent about the slope of the line is true?
Olt is throughout theane.
It is-3 throughout the line.
The slope from point o to point A is one-third times the slope of the line from point A to point B.
The slope from point o to point A is three times the slope of the line from point A to point B.

Answers

Answer:

The first option

Step-by-step explanation:

slope is -2/6

I.e. -1/3

Solve the equation on the
interval [0,2pi)
3 sin x = sin x + 1

Answers

Answer:

hi how are you

Step-by-step explanatio

https://socratic.org/questions/how-do-you-solve-sqrt3cosx-sinx-1-in-the-interval-0-360#333481

Help Please!!!!!!!!!!

Answers

Step-by-step explanation:

Area  = πr²

2) 11² x 3.14 = 379.94

3) 3² x 3.14 = 28.26

4) 5² x 3.14 = 78.5

5) 6.5² x 3.14 = 132.665

6) 7.2² x 3.14= 162.7776

complete this statement: 16a^2x^2+20a^2x+12a^2 = 4a^2 (____)​

Answers

Answer:

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Step-by-step explanation:

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Here are 2 right triangles.

Part A: Explain how you know the right triangles are similar

Part B: Write a ratio that is equivalent to z/x

Part C: Which ratios of side length are equal to tan(a)

Part D: Explain why the values of the trigonometric ratios only depend on the angle and not on the particular lengths x,y,z,q,r,s

Part E: If y/z=O.7, what is the measure of to the nearest degree?



Answers

Answer

Part A: The right triangles are smiliar because If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar.

Part B: 2z:2x or 2z/2x. You can write z/x as z:x. Then just multiply both sides by the same number to get an equivalent ratio. Let's multiply by 2. then the answer will be: 2z:2x or 2z/2x

Step-by-step explanation:

For the considered two right triangles, the evaluations for sub-parts of the problem are as follows:

They're similar by angle-angle similarity.The ratio which is equivalent to z/x isThe ratio of side lengths which are equal to [tex]\tan(a)[/tex] isThe values of the trigonometric ratios depends only on angles as angles of similar triangles are congruent.

What is Angle-Angle similarity for two triangles?

Two triangles are similar if two corresponding angles of them are of same measure. It is because when two pairs of angles are similar, then as the third angle is fixed if two angles are fixed, thus, third angle pair also gets proved to be of same measure. This makes all three angles same and thus, those two triangles are scaled copies of each other. Thus, they're called similar.

What are the six trigonometric ratios?

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

For the considered case of the specified two right angled triangles, we get the solutions to the parts given in the problem as:

Part 1: The right angled triangles have one angles as of 90 degrees. In the image given, it can be seen that the other angle is of [tex]\alpha[/tex] measures, which is also common in both the triangles.

Thus, two angle pairs in both the given triangles are of same measure. That makes both the specified triangles as a pair of similar triangles.

Part 2: The specified ratio is z/x. From the perspective of angle [tex]\alpha[/tex] , we see that z is serving as hypotenuse, and x is base, thus, the ratio z/x is sec([tex]\alpha[/tex] ) (as sec of an angle is ratio of hypotenuse to base)

Part 3: From the perspective of angle [tex]\alpha[/tex] , the perpendicular is the side 'y' and the base is side with length 'x' (we're considering first triangle here, as we can consider any one of them as both are similar).
Thus, we get tan of [tex]\alpha[/tex] as:

[tex]\tan(\alpha) = \dfrac{y}{x}[/tex]

Part 4: The values of the trigonometric ratios depend only on the angle(as they're functions of angles only) because they are ratio.

If a triangle is right angled, and has a specific angle, then whatever the side be, if that angle along with right angle is kept same, the triangles will be similar . That makes their sides a specific multiple of each other.

a side of one triangle = k times corresponding side of its similar triangle

where k is the scale factor, constant for one pair of similar triangles. Now when we will take their ratio, the value of k cancels out, leaving no difference between first triangle or second triangle, but only caring if they are similar or not(which depends on angles).

Thus, the trigonometric functions depend only on angles.

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Jailah’s age is 5 years less 1/4 her grandfather's age. Jailah is 12 years old. how old is Jailah’s grandfather

Answers

Answer:

Solution given:

let age of Jailah be x and grandfather's age be y

according to the question

x=¼y-5.....(1)

x=12...........(2)

Now substituting value of x in equation 1

12 =¼y-5

12+5=¼y

17=¼y

doing crisscrossed multiplication

17*4=y

y=68

Jailah’s grandfather is 68 years old.

B
KE
50°
D
С
Find the value of xºin rhombus ABCD.
40
45
50
90

Answers

Answer:

40

Step-by-step explanation:

some properties of the rhombus include that angle like CDE and ADE are congruent so if they are both 50, the other angle x and DAE are gonna be complementary to to the 50 degree angles so they will equal 40

Write a rule for the graph below, and find the slope and y-intercept. Enter your
answer in y=mx+b form. Question

Answers

Answer:

[tex]slope = \frac{4}{1} = 1 \\ y - intercept = 3 \\ \therefore \: \: y = 4x + 3[/tex]

If a truck travels for 3 hours, how many miles will it travel? __ miles

Answers

Answer:

You need to know the miles per hour they are going to find out this answer.

Answer:

There is no speed. With the information that you have given us, it could be said that the truck could be traveling at any speed, and therefore, could have gone any distance. Please provide more details.

⚠️❗️⚠️❗️⚠️❗️10 POINTS PLEASE HELP ASAP I NEED THE ANSWER TO THE PROBLEM ANSWERED BELOW ⚠️❗️⚠️❗️⚠️❗️
What is the area❓ No links or troll answers you’ll be reported

Answers

Answer:

70

Step-by-step explanation:

4*10= 40

3*10=30

40+30=70

Answer:

70

Step-by-step explanation:

First find the area of the bottom rectangle

13 -10 = 3

A = 3*10 = 30

Then find the area of the top rectangle

A = 10 *4 = 40

Add the areas together

30+40= 70

Maggie's brother is 7 years younger than twice her age. The sum of their ages is 32.
How old is Maggie?
Maggie is
years old

Answers

Answer:

Let M = Maggie's age

B = Brother's age

Then  M + B = 32

B = 2M - 7        

Then   M + 2M - 7 = 32

3M= 39 = 13

M= 13

Maggie is 13.

Step-by-step explanation:

Brainly?

What is the vertex of the function f(x) = |x - 2|– 3?

Answers

[tex]\displaystyle\bf x-2=0 =>\boxed{ x=2 \quad ; y=-3 }[/tex]

Question 7(Multiple Choice Worth 3 points)
(06.05 LC)

What is a reasonable estimate for the equation 8.1 ÷ 2 = ________?

3
4
5
6

Answers

Answer:

4

Step-by-step explanation:

8.0,8.1,8.2,8.3...........

8÷2=4

It's actually 4.1 or by rounding off its 4.

We can prove this because 8÷2=4, so, 8.1÷2=4.1

Or 4.

Hope it helps you... pls mark brainliest if it helps you

Given g(x) =2x+4, solve for x when g (x) = -8

Answers

Answer:

Step-by-step explanation:

X=-6

Answer:

the correct answer will be

x=-6

sunita is paid $36 per hour and works 9 hour per day. she receives one paid day off for each 18 days that she works. what is her true hourly wage?

Answers

Using simple mathematical operations we know that Sunita's truly hourly wage is $38.

What are mathematical operations?

The four mathematical operations are functions that change one number into another by taking input values, or numbers, as inputs.

They include addition, subtraction, multiplication, and division.

So, she works nine hours a day, after all.

She worked 162 hours total over the course of 18 days, or 18 x 9 hours.

Also, it is understood that she gets one paid day off for every 18 hours worked.

She is therefore paid for nine hours each day.

She is compensated for a total of 19 x 9 = 171 hours.

She receives hourly pay of $36,

Her total compensation is 171 divided by 36, or $6156.

Actual wages = Total amount she was paid/Total hours she worked

= 6156/612

= 38

Therefore, using simple mathematical operations we know that Sunita's truly hourly wage is $38.

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From a hot-air balloon, Eli measures a 38° angle of depression to a landmark that's
1922 feet away, measuring horizontally. What's the balloon's vertical distance above
the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

1,501.47 ft

Step-by-step explanation:

the vertical distance above the ground =

1922 × tan 38° = 1,922 × 0.7812

= 1,501.47 ft

Answer:

1501.63ft is required answer m

ASAP 100 POINTS, WILL MARK BRAINLIEST, should be a whole number

Answers

Answer:

[tex]x=2.[/tex]

Step-by-step explanation:

[tex]\text{Since Pythagoras Theorem, we have}\\10^2=x.(x+48)\\\Rightarrow x^2+48x=100\\\Rightarrow x^2+48x-100=0\\\Rightarrow x^2 -2x+50x-100=0\\\Rightarrow x.(x-2)+50.(x-2)=0\\\Rightarrow (x-2).(x+50)=0\\\Rightarrow x=2 \: \text{or} \: x=-50.\\\text{Since x is positive}\\\text{Therefore}, x=2.[/tex]

[tex]\\ \rm\Rrightarrow 10^2=x(x+48)[/tex]

[tex]\\ \rm\Rrightarrow 100=x^2+48x[/tex]

[tex]\\ \rm\Rrightarrow x^2+48x-100=0[/tex]

[tex]\\ \rm\Rrightarrow x^2+50x-2x-100=0[/tex]

[tex]\\ \rm\Rrightarrow x(x+50)-2(x+50)=0[/tex]

[tex]\\ \rm\Rrightarrow (x+50)(x-2)=0[/tex]

[tex]\\ \rm\Rrightarrow x=-50,2[/tex]

Distance must be positive

x=2

Find the volume of each figure. Round to the nearest tenth. Plz show work

Answers

A For the first one and c for second one

una vaca da 65 litros de leche en 4 días ¿cuantos litros debe dar en 16 días?si su producción es constante.
proporcionalidad

Answers

Answer:

1040 litros de leche

Step-by-step explanation:

65 x 16 =1040

The cow will give 260 liters of milk in 16 days.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a cow that gives 65 liters of milk in 4 days.

Assume that it gives [x] liters of milk in 16 days.

Now, in 4 days, it gives 65 liters of milk.

Then, in 1 day she would give (65/4) liters of milk.

Then, in 16 days -

x/16 = 65/4

x = (65 x 16)/4

x = 65 x 4

x = 260 liters

Therefore, the cow will give 260 liters of milk in 16 days.

To solve more questions on equation modelling, visit the link below-

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[

Refer to the question statement translated into english below -

A cow gives 65 liters of milk in 4 days, how many liters should it give in 16 days? If its production is constant.

Refer to the solution in the Spanish language below -

Tenemos una vaca que da 65 litros de leche en 4 días.

Suponga que da [x] litros de leche en 16 días.

Ahora, en 4 días da 65 litros de leche.

Luego, en 1 día daría (65/4) litros de leche.

Luego, en 16 días -

x/16 = 65/4

x = (65 x 16)/4

x = 65 x 4

x = 260 litros

Por tanto, la vaca dará 260 litros de leche en 16 días.

]

Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 8 + 48? 4 (2 + 6) 4 (8 + 6) 8 (1 + 6) 8 (2 + 6)

Answers

Number 4 2+6 is the answer

If the adjacent is 8, the opposite is 15, and the hypotenuse is 17. Express sin H as a fraction in simplest terms.

Answers

Answer:

[tex]\frac{15}{17}[/tex]

Step-by-step explanation:

Have a nice day

Me need help with this

Answers

Answer:

The area of the shaded region is 240 ft.

Step-by-step explanation:

Area Formula: A = L * H

First, find the area of the WHOLE shape. (300 = 25 * 12)

Next, find the area of the WHITE section. (60 = 5 * 12)

Lastly, subtract the area of the entire shape to the area of the white section. (300 - 60 = 240)

Your final answer should be 240 ft. Hope this helps! :D

I would appreciate it so much if anyone helps me on these answers please!

Answers

Answer:

see explanation

Step-by-step explanation:

(14)

tan F = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{GH}{FH}[/tex] = [tex]\frac{12}{5}[/tex]

(15)

sin G = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{FH}{FG}[/tex] = [tex]\frac{5}{13}[/tex]

please help me on this.

Answers

9514 1404 393

Answer:

growthdomain: all real numbersrange: y > -7y-intercept: (0, -6)asymptote: y = -7

Step-by-step explanation:

The parent function f(x) = a^x has a domain of all real numbers, a range of y>0, a y-intercept of 1, and an asymptote of y=0. It is a growth function for a>1, a decay function for 0<a<1.

Here, you have a=4, and the value -7 has been added. That addition translates the graph downward 7 units, so you have ...

a growth functiondomain: all real numbersrange: y > -7y-intercept: -6asymptote: y = -7

PLEASE HELP CIRCLE THEOREMS

Answers

Answer:

90degree because of O is center of circle and mAB come from radius

Step-by-step explanation:

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