Alan draws the two triangles below.



Alan claims that the two triangles are similar. Which of the following methods could he use to prove his claim? Select TWO that apply.
A
show that all pairs of corresponding sides are congruent

B
show that the triangles are congruent, as all congruent triangles are similar

C
show that a sequence of rigid motions and dilations carries one triangle onto the other triangle

D
show that all pairs of corresponding angles are congruent and all corresponding sides are

Answers

Answer 1

Answer:

A & D

Step-by-step explanation:

Both use SSS to prove triangles congruent.

Answer 2
The length of each of the three pairs of corresponding sides is the same The three pairs of comparable angles in each case are all of the same size.

What is Congruent triangle?

Therefore, if all three sides of two triangles are the same, then the triangles are said to be congruent. If we have a side, an angle between the sides, and then another side that is congruent, we know they are congruent. In other words, side, angle, side.

"If and only if the following two conditions are met, two triangles are congruent.

Three corresponding sides have the same value.

The measurements of the three related angles are all equal."

given instance,

Think about the triangles PQR and ABC.

If A = P, B = Q, and C = R

AB = PQ, BC = QR, and AC = PR as well.

If ABC and PQR are congruent triangles, then ABC PQR is the way to write it.

As a result, the following are true statements concerning congruent triangles:

The length of each of the three pairs of corresponding sides is the same.

The three pairs of comparable angles in each case are all of the same size.

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Related Questions

Solve 2(x - 5) + 11 = 17
Show how you got your answer(s).

Are either of your answer extraneous yes or no. Justify your response

Answers

Answer:

x=8 and is not extraneous

Step-by-step explanation:

2(x-5)+11=17

2x-10+11=17

2x+1=17

2x=17-1

2x=16

x=8

extraneous means it is a solution, but it is not possible in the equation, to determine if it is extraneous, plug it in to the original equation

2(8-5)+11=17

2(3)+11=17

6+11=17

17=17

since it works in the orignial equation it is not extraneous

The solution to the equation 2(x - 5) + 11 = 17 is x = 8

How to determine the solution to the equation

From the question, we have the following parameters that can be used in our computation:

2(x - 5) + 11 = 17

When the like terms are evaluated, we have

2(x - 5) = 6

Divide through the equation by 2

x - 5 = 3

So, we have

x = 3 + 5

Evaluate

x = 8

Hence, the solution to the equation is x = 8

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Find the unit rate. 400 cupcakes in 8 hours​

Answers

Answer:

50 per hour

Step-by-step explanation:

Find the measures of the interior angles of the triangle,

Answers

Answer:

Angle B = 88

Angle C = 44

Step-by-step explanation:

X+48+(X-44)=180

Subtract 48 from both sides

X+48-48+(x-44)=180-48

X+(x-44)=132

2x-44+44=132+44

2x= 176

X=88

Angle A=48

Angle B =88

Angle C=44

(88-44)

88+44+48=180

Answer:

∠A = 48°

∠B = 48°

∠C = 84°

Explanation:

For C, it is parallel to A, so it would be the same sized angle. For context, all angles of a triangle add up to 180°, so you do; ∠A + ∠C and get 96°

Then you do, 180° - 96° to get 84°

So ∠C would be 84°

what is the slope of a line with points (0,3) and (5,18)

Answers

Answer:

bye

Step-by-step explanation:

I need help please!!!

Answers

Answer:

x=1

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. In this equation, the AOS is x=1

Brainliest would be appreciated! :-)

Another way to find the AOS, is by looking at the f(x) function, the last number will always be the AOS.

Elsa drove 715 miles in 13 hours, At the same rate, how long would it take her to drive 275 miles?

Answers

Answer:

Driving 275 miles would take Elsa 5 hrs.

Step-by-step explanation:

Write and solve an equation of ratios:

 715 mi         13 hrs

------------- = --------------

 275 mi              x

This leads to:  715x = 13(275), or x = 5 (hrs)

Driving 275 miles would take Elsa 5 hrs.

Evaluate the expression shown below and write your answer as a mixed number in simplest form.

Answers

Answer:

-5 13/25

Step-by-step explanation:

This is what my calculator got me

Mark earns $165 every 12 hours. At this
rate, how much does he earn in 9 hours?

Answers

Answer:

123.75

Step-by-step explanation:

165/12= 13.75

$13.75 and hour

13.75x9=123.75

Answer:

$123.75

Step-by-step explanation:

165 / 12 = 13.75

13.75 x 9 = 123.75

Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.

Answers

Answer:

Step-by-step explanation:

( x , y ) ----> ( x - 1 , y ) ------> ( 2(x-1) , 2y ) = ( 2x - 2 , 2y )


John is a mechanic with a technical license. He has worked 40 hours at minimum wage
this week. How much is his gross wage for the week?

Answers

Answer:

$290

Step-by-step explanation:

if minimum wage is $7.25

7.25×40= 290

From this pie chart answer the following:

(i) If 20 people liked classical music, how many young people were surveyed?
(ii) Which type of music is liked by the maximum number of people?

Answers

200 people were surveyed.light music

what is 2X ( 3)+( 1)+( 2)+=

Answers

Step-by-step explanation:

work out the brackets first

n/24-40=37 solve for n

Answers

Answer:1848

Step-by-step explanation:

good luck with the test or whatever you are doing


Please help me solve this problem

Answers

Answer:

15

Step-by-step explanation:

Answer as a each as an algebraic expression.

Answers

Answer:

is saying the half of q is 9 so you have to find out the value of q and when you find out the value for example x=18 the half of 18 is 9 I don't know if you undertand my explication

Step-by-step explanation:

18 the half of 18 is 9 because 9+9=18

HELLLPPPPP!!

What is the solution to the following?

Answers

The answer is x is greater than or equal to 3

Mitch is attending a 4-year college. As a freshman, he was approved for a 10-year, federal
unsubsidized student loan in the amount of $8,100 at an APR of 4.29%. Mitch decides to
make no payments during the 4.5-year deferment period. After interest is capitalized at the
end of the 4.5-year period, what will his new principal amount be?

Answers

Answer:

Interest capitalization occurs when unpaid interest is added to the principal amount of your student loan. When the interest on your federal student loan is not paid as it accrues (during periods when you are responsible for paying the interest), your lender may capitalize the unpaid interest.

Step-by-step explanation:

I'm having trouble. Can someone answer?


Answers

Answer:

okay wait

Step-by-step explanation:

Can someone help? This is hard

Answers

The 3rd answer because the Median would mean that each side is equal.

PLEASE HURRY 40 POINTS

Answers

Answer:

3√5

Step-by-step explanation:

Hope this helps you ......

A wooden rod of 5 m 75 cm was cut into 5 equal pieces. What is the length of each piece.

Answers

We have: 5m 75cm = 5.75 m

So the length of each piece is : [tex]l = \frac{5.75}{5} =1.15<m>[/tex]

ok done. Thank to me :>

In Circle P, m EA=58, m BC=42, m CD=90, find:
1. m∠EDA
2. m∠BDC
3. m∠BEC
4. m arc AB
5. m∠AEB
6. m∠ECA
7. m∠BAC
8. m arc ED
9. m∠ECD
10. m∠ACB
11. m∠EBD
12. m∠ADB
13. m∠CAD
14. m∠EAB
15. m∠EBC
PLEASE HELP MU HUHU

Answers

Circle theorem states that the angle that an arc subtends at the center of a

circle is twice the angle subtended at the circumference.

The values are as follows;

m∠EDA = 90°m∠BDC = 21°m∠BEC = 21°[tex]m\widehat{AB}[/tex] = 80°m∠AEB = 40°m∠ECA =  29°m∠BAC = 21°[tex]m\widehat{ED}[/tex]  =  90°m∠ECD = 45°m∠ACB = 40°m∠EBD = 45°m∠ADB = 40°m∠CAD = 45°m∠EAB = 90°m∠EBC = 90°

Reasons:

[tex]\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC[/tex] Angle subtended at center is twice angle at circumference.

m∠EPC = 180°

∴  m∠EDA = 0.5 × 180° = 90°

2. [tex]m\widehat{BC}[/tex] = 42°, therefore, m∠BPC = 42°

[tex]\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC[/tex]

m∠BDC = 0.5 × 42° = 21°

3. m∠BEC = m∠BDC = 21°

4. [tex]m\widehat{AB}[/tex] = 180° - (58° + 42°) = 80°

5. [tex]\mathbf{m\widehat{AB}}[/tex] = m∠APB by definition

m∠AEB = 0.5 × m∠APB

m∠AEB = 0.5 × 80° = 40°

6. m∠ECA = 0.5 × m∠AE

Therefore;

m∠ECA = 0.5 × [tex]m\widehat{EA}[/tex]

m∠ECA = 0.5 × 58° = 29°

m∠ECA =  29°

7. m∠BAC = 0.5 × [tex]\mathbf{m\widehat{BC}}[/tex]

m∠BAC = 0.5 × 42° = 21°

m∠BAC = 21°

8. [tex]m\widehat{ED}[/tex]  = 180° - [tex]\mathbf{m\widehat{CD}}[/tex]

[tex]m\widehat{ED}[/tex]  = 180° - 90° = 90°

[tex]\mathbf{m\widehat{ED}}[/tex]  =  90°

9. m∠ECD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠ECD = 0.5 × 90° = 45°

10. m∠ACB = 0.5 × [tex]m\widehat{AB}[/tex]

m∠ACB = 0.5 × 80° = 40°

11. m∠EBD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠EBD = 0.5 × 90° = 45°

12. m∠ADB = 0.5 × [tex]\mathbf{m\widehat{AB}}[/tex]

m∠ADB = 0.5 × 80° = 40°

13. m∠CAD = 0.5 × [tex]\mathbf{m\widehat{CD}}[/tex]

m∠CAD = 0.5 × 90° = 45°

14. m∠EAB = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EAB = 0.5 × 180° = 90°

15. m∠EBC = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EBC = 0.5 × 180° = 90°

Learn more about circle theorems here:

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help me plz i need help

Answers

Answer:

y-2.0

x-2.3

Step-by-step explanation:

hope it help

Answer:

x- intercept = - 1, y- intercept = - 1

Step-by-step explanation:

The x- intercept is the point on the x- axis where the line crosses

x- intercept = - 1

The y- intercept is the point on the y- axis where the line crosses

y- intercept = - 1

which of the follwing equations has the same solution as 3x-5=5x+11?
a. 2x-5=11 b. 3x=5x+6 c. 3x+6=5x d. -5=2x+11

Answers

Answer:

-5 = 2x + 11

Step-by-step explanation:

3x - 5 = 5x + 11

→ Minus 5x from both sides

-2x - 5 = 11

→ Add 5 to both sides

-2x = 16

→ Divide both sides by -2

x = -8

The mixed number 2Five-sixths is equivalent to a fraction with a denominator of 6.

2Five-sixths = StartFraction question mark over 6 EndFraction

What is the missing numerator in the equivalent fraction?

8
12
17
18

Answers

Answer:

what the answer

Step-by-step explanation:

In A Fraction What Is The Number On Top Called

Answers

the fraction on top is classed the numerator

Answer: numerator

Step-by-step explanation the bottom is the denominator

Hopes this helps✊

Which graph represents an function

Answers

we kind of need to see the graphs to decide.
but the function is any graph that is completely straight and goes through the center (0,0)

questions
124 - 444 = ...
345 - (-7) × (-6) = ...​

Answers

Answer:

-320; 303

Step-by-step explanation:

Well... you could really just use a calculator to do this, I mean?

124 - 444 = -320

345 - (-7)*(-6) = 345 - 42 = 303

Answer:

1) 320

2) 303

Step-by-step explanation:

1) simple Subtraction

2) first multiply -7 & -6 = 42

then 345-42 = 303

Can you convert the stander linear equation 5x-3y=15 into slope intercept form?

Answers

Answer: y = (5/3)x - 5

Step-by-step explanation:

5x-3y=15

-3y = -5x + 15

y = (5/3)x - 5

Answer:

In slope intercept form, I think it would be y=5/3x-5

Step-by-step explanation:

5x-3y=15

-subtract 5x on both sides-

-3y=-5x+15

-divide by -3 on both sides-

y=-5/-3x+15/-3

(the negatives on -5/-3 cancel each other out leaving you with a positive 5/3)

y=5/3x-5

Im not sure if all calculations are correct, but i hope this helps! :)

Hi this is algebra math. It’s been a while since I’ve been on this app but I need some help on if the problem graphed the slope right or wrong.

Answers

agree because the y intercept is correctly graphed and the slope is 3/1 so the equation matches the y=mx+b formula
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