Consider the two triangles.
В.
To prove that the triangles are similar by the SAS
similarity theorem, it needs to be shown that
B
A
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20
Н.
15
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BC
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BC
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Answers

Answer 1

Answer:

By Both

Step-by-step explanation:

You have all 3 corresponding sides are proportional so you have SSS.  That is

24/8=15/5=18/6

You also have SAS because 15/5=18/6 and you have the angle between the sides that I'm referring to in that proportion.

Answer 2

To prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

From definition of similar triangles the 3 corresponding sides are proportional so you have SSS.  

Such that  24/8=15/5=18/6

We also have SAS because 15/5=18/6 and you have the angle between the sides.

Hence, to prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.

To learn more on Triangles click:

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Related Questions


Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation
(-9,- 4); y = - 3x + 5
Write an equation for the line in slope-intercept form
(Simplify your answer. Use integers or fractions for any numbers in the equation)

Answers

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope. a parallel line must have the same slope.

in our case here it is -3.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-4 = -3×-9 + b = 36 + b

b = -40

so, the full equation of the parallel line is

y = -3x - 40

How do you solve , (x-2)2 ?

Answers

Answer:

Distributive property of multiplication

Step-by-step explanation:

2(x-2)

Multiply 2 times x, multiply 2 times 2, so you get:

2x-4

Answer:

Does that help?

Step-by-step explanation:

Can someone please help I will give you 30 points and brainliest if the answer is right also no links please

Answers

Answer:

B: BC ≅EC

Step-by-step explanation:

You know that the two angles starting in C are congruent (they're opposite by vertex C).

Given that the B angle and the E angle are congruent, in order for the two triangles to be congruent by A(ngle)S(ide)A(ngle) you want the side inbetween to be congruent. That is BC and EC. Option B

[tex]\sf 78-2x=87-3x[/tex]

Answers

Answer:

x = 9

Step-by-step explanation:

78 - 2x = 87 - 3x

3x - 2x = 87 - 78

x = 9

ANSWER

x = 9

Step-by-step explanation:

=> 78-2x= 87 -3x

=> 78-87=-3x+2x

=> -9 = -x

=> x = 9

I put the question in a doc cuz its a screenshot, please help

Answers

Answer:

38

Step-by-step explanation:

90-52

I hope this helps

The angle measures of a triangle are in the ratio 3: 4: 3. Find the angle
measures of the triangle.

Answers

Answer:

72

Step-by-step explanation:

3X+4X+3X=180

10X=180

X=180/10

X=18

3X=54 BOTH

4X=72

Use the information in the table to solve Exercises 4-6.
Morgan's favorite spaghetti sauce is available in two sizes: pint
Each size and its price are shown in the table.
Size
Quantity (oz)
Price (5)
pint
16
3.98
quart
32
5.98

Answers

Answer:

Step-by-step explanation:

seventeen cus it is :)

b)
Here is another number machine.
Input
Output
х
4x + 5

Answers

Answer:

collect like terms x=5-4=1

IVE BEEN STUCK ON THIS FOR ABOUT 3 HOURS
The distance your friend travels in y (miles) running x hours is represented by the equation
y = 7.5x.
a. Graph the equation and interpret the slope

b. how many minutes does it take for your friend to run one mile

Answers

a. Is the attached image. The slope is 7.5x

b. 1 = 7.5x

x = 1.33333…

This is hours so we must multiply this by 60

x = 8 min

A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?

Answers

13.01 ounces are left

Question 5(Multiple Choice Worth 1 points)
(04.02 MC)

City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than three times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. The following system of equations models this scenario:

4x = 8 + 3y
x − 2y = −3

What was the temperature of City A and City B on that day?

City A was 5° C, and City B was 4° C.
City A was 3° C, and City B was −1° C.
City A was 8° C, and City B was −3° C.
City A was 5° C, and City B was −5° C.

Answers

Answer:

City A was 5c, and city B was 4c so it’s the first one

Step-by-step explanation:

I just took the test and I got it right

Answer:

City A was 5c, and city B was 4c

Step-by-step explanation:

Which inequality is best represented by the following number line?

Answers

Answer:

A

Step-by-step explanation:

Answer:

solve:

-3x+10<dividing22

-3x< 12

by a negativie flips sign

x>4

So A is correct because the because its an open circle  on number line

10x is greater than or equal to 120 cm^2

Answers

Answer:

x greater than or equal to 12cm^2

Step-by-step explanation:

Mia is 7.04304 x 10 minutes old. Convert her age to more appropriate units using years, months, and
days. Assume a year has 365 days and a month has 30 days.
a
Mia is 13
years
months and
days old

Answers

Answer:13 years,1 month, and 29 days

Step-by-step explanation:

Sandy worked extremely hard at her job and earned a large bonus at the end of the year. She decided to give her children 2/5 of the money and her grandchildren 1/4 of her bonus. How much of her bonus did she keep for herself?

Answers

Answer:

7/20 of her bonus

Step-by-step explanation:

Solution:

She gives her children 2/5 of her bonus and grandchildren 1/4 of her bonus.

= 1 - 2/5 - 1/4

= 1 - 8/20 - 5/20

= 1 -13/20

= 7/20

I hope it helps.

i need help with all of this please

Answers

your picture isn’t loading and maybe try to set up a new one?

NEED ASAP PLEASE SHOW WORK! Follow the directions and solve this sequence for the first 10 terms:-3,-12,-48,-192
A.
CR: 4
10th term: -262,144
B.
CR:-4
10th term: 786,432
C.
CR:4
10th term: - 786,4323

Answers

Answer: B (786,432)

Geometric sequence follows by multiplying by 4.

-3

-12

-48

-192

-768

-3072

-12288

-49152

-196,608

-786,432

A dog has a litter of three male pups and
five female pups. What percent of the pups
in the litter are male?

Answers

Answer:

3 is 37.5% of 8 so the answer is about 37%

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

Three male and five female.

So, we need to find out the mall.

We can divide this out of 8.

3/8 and 5/8.

Male - 37.5%

Female - 62.5%

Paula wants to divide 480 tomatoes
equally among 80 baskets. How many
tomatoes will Paula put in each basket?

Answers

Answer:

6 tomatoes

Step-by-step explanation:

480/80=6

Answer:

6 tomatoes

Step-by-step explanation:

480 ÷ 80

=> 6 tomatoes

Hoped this helped.

Find the equation of the line that passes through (-3,1) and is parallel to y = 1 − 2 x . Leave your answer in the form y = m x + c

Answers

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y - 1 = 0 ( subtract 3x - 1 from both sides )

y = - 3x + 1 ← in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (1, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = - 3x + 7 ← equation of line in form y = mx + c

Ana is a teacher who plays a review game with her class. The game involves writing each student's name on
an identical slip of paper and selecting students at random. Here's the makeup of her class:
Grade
9th 10th 11th
Number of students
12. 9. 7.
Suppose that Ana picks a name, replaces it, and picks a name again.

What is the probability that NEITHER of the students selected are
9th graders?
Round your answer to two decimal places.

Answers

Answer:

P(Neither 9th grade)=16/28*16/28=16/28*16/28=(16/28)^2=256/784≈0.3265

Answer:

The probability that neither of the students selected are 9th  graders is about 0.33.

Step-by-step explanation:

Pls give brainliest

Probabilities are used to determine the chances of events

The probability that neither of the students is a 9th grader is 0.33

From the table, the number of students that are not 9th graders are:

[tex]N9 =9 + 7[/tex]

[tex]N9 =16[/tex]

The total number of students is:

[tex]Total =12 + 9 + 7[/tex]

[tex]Total =28[/tex]

The probability that neither of the students is a 9th grader is calculated as follows

[tex]P =P(N9) \times P(N9)[/tex]

So, we have:

[tex]P =\frac{16}{28} \times \frac{16}{28}[/tex]

Multiply

[tex]P =\frac{256}{784}[/tex]

Divide and approximate

[tex]P =0.33[/tex]

Hence, the probability that neither of the students is a 9th grader is 0.33

Read more about probabilities at:

https://brainly.com/question/7965468

Highlight and name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.

Answers

Step-by-step explanation:

Diagram 1

ΔALP ≅ ΔMLN by ASAΔANO ≅ ΔMPO by AAS (angle O is common)

Diagram 2

ΔMQW ≅ ΔSRW by SSSΔMQR ≅ ΔSQR by SSS (QR is common side)

Diagram 3

ΔAGR ≅ ΔOGR by SSSΔARO ≅ ΔARF by HL

Diagram 4

ΔGOS ≅ ΔGTR by ASA (∠G is common)ΔSTU ≅ ROU by AAS (∠U is congruent as vertical and RO = ST)

Find the value of x

A. 56° B. 66° C. 809 D. 130°​

Answers

Answer:

B.66

hope this helps you!!

The product of 7 and a number is greater than 42. If the number is a whole number less than 10 , what could the number be?

Answers

Answer:

8 or 9

Step-by-step explanation:

Your primary equation that they gave you is ?b and has to be greater than ?a  7 x ?a =42

So your answer to ?a is 7 because 7 x 7 =42   therefore your answer to ?b has to be 8 or above.  

the next part of your problem states that it is a whole number UNDER 10....  this limits your possible answer to either 8 or 9.

the sum of 9 and a number

Answers

Answer:

E+ 9

Step-by-step explanation:

Let E represent a number.

The sum of nine and the number is then E+9 as "sum" denotes addition.

Therefore the representation would be E+9

Mark has $360 in his savings account and Trevor has $510 in his savings account. The interest rate is 3%. How
much will each person have in their savings account at the end of 5 years? Show your work.

Answers

Answer:

Mark: 54

Trevor: 765

Step-by-step explanation:

For each, you multiply the amount, time period, and the percentage.

(make sure to turn the percentage to a decimal)

I’m so sorry If my answer is wrong

A shipping box is shaped like a rectangular prism. The box is 1 1/5 feet wide, 3 feet long, and 4 1/2 feet tall. What is the volume of the shipping box

Answers

Answer:

4.95

Step-by-step explanation:

The volume of the rectangular prism is 16.2 ft³.

What is volume?

The volume of any object defined the capacity of it, how much it can hold something is called its volume.

Given is rectangular prism, we need to find the volume of the same,

So, we know that the volume of a rectangular prism is the product of its dimensions.

V = length × width × height.

[tex]V = 1\frac{1}{5} \times 4\frac{1}{2} \times 3[/tex]

[tex]V = \frac{6}{5} \times \frac{9}{2} \times 3[/tex]

V = 162/10

V = 16.2

Hence, the volume of the rectangular prism is 16.2 ft³.

Learn more about volumes, click;

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2 2/3 + 3/4 Estimate the Sum or difference

Answers

2 2/3=8/3
8/3x3/4=24/12
24/12=2

Find the area of the figure below.

Please help me with this I don’t understand it!

Answers

Answer:

ans :240 cm²

Step-by-step explanation:

see the pic

....ik its messy but hope u understand

and I hope the ans is correct

PLSS HELP ASAP ILL GIVE BRAINLIEST PLS THANKS

Answers

4.7 is the correct answer
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