The two triangles are similar. There are two possible values of x. Work out each of these values. State both assumptions you make in your working. You must state which two triangles you are assuming to be similar.

The Two Triangles Are Similar. There Are Two Possible Values Of X. Work Out Each Of These Values. State

Answers

Answer 1

Answer:

ΔABE ~ ΔACD, x = 2ΔABE ~ ΔADC, x = 17

Step-by-step explanation:

ΔABE ~ ΔACD

  AC/AB = AD/AE

  (10+x)/10 = (15+3)/15

  1 +x/10 = 1 +0.2 . . . expand each ratio

  x = 10(0.2) . . . . . . . subtract 1 and multiply by 10

  x = 2

__

ΔABE ~ ΔADC

  AC/AE = AD/AB

  (10+x)/15 = (15+3)/10

  10 +x = 27 . . . . . . . . multiply by 15

  x = 17 . . . . . . . . . . . . subtract 10

_____

Additional comment

The triangles can be declared similar in 6 ways, but it does no good to match a marked side with an unmarked side. Hence, only two of the possible similarity statements will result in a solution for x.

Answer 2

Answer:

This will give you 5/5

x = 17  

x=2  

Assuming triangle ABE is similar to ACD

Assuming traingle ABE is similar to ADC

Step-by-step explanation:

18/10 = 1.8 (S.F)

15 x 1.8 = 27

27-10 = 17

x = 17

15+3=18

18/15= 1.2 (S.F)

10x1.2= 12

12-10=2

x=2

Assuming triangle ABE is similar to ACD

Assuming triangle ABE is similar to ADC


Related Questions

Learn with an example
The perimeter of a rectangular deck is 214 feet. It is 42 feet wide. How long is it?

Answers

Answer:

65 feet = L

Step-by-step explanation:

set up equation

P = 2L + 2W

plug in W

214 = 2L + 2(42)

multiply

214 = 2L + 84

subtract 84

130 = 2L

divide by 2

65 = L

I need help I have this problem and I think it either has to be simplified or turned into a fraction but I’m really sure it’s simplified anyway the equation is 5x+5x=10x please help

Answers

what are you specifially looking for? simplified it would be 10 and as a fraction 10 over 1

please give step by step instructions
2c+3=2c+3​

Answers

Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

Use the distributive property to remove the parentheses.
Simplify your answer as much as possible.

1/4(12+8x)

Answers

Answer:

3+2x

Step-by-step explanation:

Distribute the equation out.

1/4(12+8x)

(1/4*12)+(1/4*8x)

Multiple those out to get a new equation

3+2x

You cannot add those together because of the variable. Theres no way of knowing what x equals so this is as far as you can go therefor making the answer 3+2x

Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality: 110 < 2x + 10 and 2x + 10 < 310 Solve for x in this inequality, and explain what the answer represents.

Answers

Answer:

[tex]50<x<150[/tex]

Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.

So, Ryan's total carb intake must be between 50 and 150 carbs.

Step-by-step explanation:

So he wants to keep his consumption of carbs between the inequalities:

[tex]110<2x+10\text{ and } 2x+10<310[/tex]

So, let's solve both inequalities.

1)

[tex]110<2x+10[/tex]

Subtract 10 from both sides:

[tex]100<2x[/tex]

Divide both sides by 2:

[tex]50<x[/tex]

2)

[tex]2x+10<310[/tex]

Subtract 10 from both sides:

[tex]2x<300[/tex]

Divide both sides by 2:

[tex]x<150[/tex]

So, our inequality is now:

[tex]110<2x+10\text{ and } 2x+10<310[/tex]

Since we solved the equations:

[tex]50<x\text{ and } x<150[/tex]

Written as a compound inequality, this is:

[tex]50<x<150[/tex]

In other words, Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.

So, Ryan's total carb intake must be between 50 and 150 carbs.

Answer:

110

Step-by-step explanation:

SOMEONE PLS HELP ME ASAPPP: The odometer of a vehicle tells you how far it has traveled in its lifetime. The "trip odometer" can be reset at any time to tell you the length of a particular trip. Suppose the main odometer of a new car is at 467 miles and the trip odometer is at 22 miles. How many more miles do you have to travle before the main odometer is precisely two times the trip odometer?​

Answers

Answer:

              423 miles

Step-by-step explanation:

x  - the miles to travel

467+x  - the main odometer after x miles travel

22+x   - the trip odometer after x miles travel

2(22+x)    - two times the trip odometer after x miles travel

2(22+x) = 467 + x

44 + 2x = 467 + x

     - 44       -44

     2x = 423 + x

    -x       -x

     x = 423

Answer:

how far you've driven

Step-by-step explanation:

how do I answer a question in here

Answers

You hit the button “answer”

Answer:

Just go to a post you feel/know you can solve, tap or click on it and you should see an answer button!

HELP ASAP my answer is B im pretty sure im wrong..

Answers

The answer is A ..........

what is S? (Algebra)

s - (-33) = 588​

Answers

S = 555 I think I’m not 100% sure

Answer:

s=555

Step-by-step explanation:

5 x 5=? plz im dum lol

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5 x 5 = 25

please don’t skip me i really need this answer

show all work

Answers

Answer: The answer is b

Step-by-step explanation:

Is 0.625 greater than 0.75

Answers

Answer:

no

Step-by-step explanation:

Can anyone help me on this question?

Answers

Cant view the picture
Add all of the absolute deviations and divide by the number of swimmers

For f(x)=2x+1 and g(x)=x^2-7 find (og)(2)

Answers

Answer:

Step-by-step explanation:

g(2) = 2^2 - 7 = 4 - 7 = -3

f(-3)= 2(-3) + 1 = -6 + 1 = -5

what is 1/2x1/2+1/3+9/1

Answers

Answer:

9.58333333333

Step-by-step explanation:

Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part A:) Last Friday, Kristin babysat for 4.5 hours. How much money did she make during that job? Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part B): Mrs. Overstreet has told Kristin that she will pay her $45.50 for tomorrow's babysitting job. How many hours will Kristin babysit then?

Answers

Answer:

a)$29.25

b)7hours

comments if you need an explanation

Answer:

Part A: 29.25

Part B: 7 hours

Step-by-step explanation:

Part A :

6.50 times 4.5 equal 29.25

Part B:

45.50 divided by 6.5 equal 7

hopefully this helps you :)

pls give me brainlest :)

simplify and solve




a x= -16
b x = -10
c x=10
d=16​

Answers

1/2 (-4x + 12)= 26

-4x + 12= 52

-4x = 52 - 12

-4x = 40

x= 40/-4

x= -10

The answer is B. x = -10

A rectonale has an area of
36cm and width 3cm. Find it's perimeter.​

Answers

It is 29 hope this helps

Answer:

[tex] \boxed{ \bold {\huge{ \text{30 \: cm}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \underline{ \: \: Given}}}[/tex]

Area of a rectangle ( A ) = 36 cm²

Width of a rectangle ( w ) = 3 cm

[tex] \star{ \sf{ \underline{ \: \: To \: Find}}}[/tex] :

Perimeter of a rectangle ( P ) = ?

First, finding the length of a rectangle ( l ) :

[tex] \boxed{\text{area \: of \: a \: rectangle = length ∗ width}}[/tex]

[tex] \dashrightarrow{ \sf{36 = length \times 3}}[/tex]

[tex] \dashrightarrow{ \sf{36 = 3 \: length}}[/tex]

[tex] \dashrightarrow{ \sf{3 \: length = 36}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{3 \: length}{3} = \frac{36}{3} }}[/tex]

[tex] \dashrightarrow{ \sf{length = 12 \: cm}}[/tex]

Length of a rectangle = 12 cm

Now, finding the perimeter of a rectangle having length of 12 cm and width of 3 cm

[tex] \boxed{ \text{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]

[tex] { \sf{perimeter \: of \: a \: rectangle = 2(12 + 3)}}[/tex]

[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 2 \times 15}}[/tex]

[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 30 \: cm}}[/tex]

Perimeter of a rectangle = 30 cm

Hope I helped!

Best regards! :D

4 = -8 - x What is x?

Answers

Answer:

2

Step-by-step explanation:

a negative x negative is always a positive

a negative x positive is negative

a positive x positive is negative

Answer:

x=-12

Step-by-step explanation:

4 = -8 - x

First, step +8 to get it to the other side of the question, then it will be 12 = -x

to get x move the negative to the other side x = -12

Can i have brainly please

Multiply
(3c-5d)(7c-20)
please help i’m doing a test

Answers

Answer: 21c + 100d

Hope this helps!

Answer:

21c^2-60c-35cd+100d

Step-by-step explanation:

use foil method

(3c-5d)(7c-20)

21c^2-60c-35dc+100d simplify

21c^2-60c-35cd+100d nothing to simplify here

someone please help and also show work plz​

Answers

Answer:

X= -50

Step-by-step explanation:

Subtract 7 from both sides then multiply by 5.

X/5 =-10

5 x -10 = -50

So x= -50

Change the fraction into a decimal
[tex] \frac{7}{100} [/tex]

Answers

Answer:

0.07

Step-by-step explanation:

are intersecting lines always coplanar

Answers

Answer:

yes

Step-by-step explanation:

2. Which of the follow is equivalent to the quantity below? *
(1 Point)
2-1
3
1
2




Need help!!!!!!!!!!!!!

Answers

1

2-1=1

Brainliest?pls

The amount of money invested in a retirement fund is an example of which of the following?
a investment asset
b. liquid asset
C. long term asset
d. use asset

Answers

Answer: A

Step-by-step explanation:

Your investing for your future so it will investment asset

Solve.

9.4 = - t/3.5

t =

Answers

solve for t is t= 329/10

Find each angle measure in the figure.

(x + 30)2x

Answers

Answer:

the correct answer is 4

?show that 33105 is divisible by 15?​

Answers

Answer:

um 2207 times 15 is 33105

where the digit 1 sits in this number.

712,662,522,097

Answers

Answer:

ten billionths place

Step-by-step explanation:

Rectangle PQRS will be reflected over the y-axis. What will be the coordinates of Q'M​

Answers

Answer:

Coordinates for Q' Option (A) : (-5, 2)

Other Questions
Savannah can run 1/2 mile in 300 seconds. What isSavannah's unit rate?10 mile per minute2 1/2 mile per minutes2/5 mile per minutes1/10 mile per minute 1. What year did 9/11 happen? What is the impact of outliers on the range?O Outliers have no impact on the range.O The range will be smaller.The range will be skewed.The range will be a positive number.The range will be close to the mean. Which is a compound? nitrogen gas carbon dioxide gas oxygen gas hydrogen gas hOmeWoRK hEEllpppPppPPppPpppWhich equation fits the situation? Mikes test score was 20 points lower than Marks. If Mark scored a 95 on the test which equation would give Mikes score?a)90 = p + 5b)p - 95 = 20c)p - 20 = 95d)95 = p + 20 Is that the right answer What countries are considered part of East Asia is 2 by 2=4 rational or inrational and why All of the following crops are grown in the Coastal Plains of Texas except: a.rice b.cotton c.tobacco d.citrus fruits Find ALL Similes and Metaphors Which character in Roll of Thunder, Hear My Cry is an example of a flat character? Mama Lillian Jean Stacey Cassie What is the least common denominator of the equation 3/4(x-3)-1/2=2/3?291236 The Caddo that originally lived in East Texas were also living in which geographic region? Write an equation based on the word problem below and solve it. *You have $150 in your savingsaccount. You earn money towalk your neighbor's dog everyday after school. If it takes you8 weeks to have $246 in youraccount, how much money, m,do you earn per week?m = $13 per weekm = $12 per weekOm = $11 per weekO m = $10 per week Which equation would you use to find x? Choose the best vocabulary word with its corresponding synonym: scouring HELP PLEASE In The Story of Keesh, which event best shows the importance of Keeshs determination?A-Keesh divides the meat equally among all members of his tribe.B-despite being very young and inexperienced, Keesh returns successful from his solitary hunt . C- Keesh asks the people of the tribe to build a new igloo for him and his mother . D- When the tribe accuses Keesh of witchcraft, he insists that he only used his brain. You estimate that you sent 135 texts last week but when you get the bill, it was actually 175. Calculate the percent error Kristin and her family left their campsite to take a bike ride. They biked 5 miles west and then 12 miles north. How far are they from their campsite? Round to the nearest 10th if necessary. What do the equations have in common? y = -2 x + -3 y = -2 x + -3