Find all possible values of x for which these two triangles are similar.

Find All Possible Values Of X For Which These Two Triangles Are Similar.

Answers

Answer 1

Answer:

I see no solution.

Step-by-step explanation:

The sum of the angles of a triangle is 180°

Given

x+ x + 10 +y = 180. and

2x -50 + 50 + y = 180

y represents the angles with no value indicated.

Simplifying:

2x +y +10 = 180

2x + y = 180

This looks like a no solution system.

If I'm missing something, I hope someone else can explain it.

Answer 2

The two triangles are similar when two angles of the triangle are equal.

The possible value of x which the two triangles are similar is x = 60°

Reasons:

Required;

To find the values of x for which the two triangles are similar

Method:

Given that two angles of the triangle are specified, the triangles can be

similar for only one value of x.

Solution:

The two triangles are similar when we have;

x + 10° = 2·x - 50°

Which gives;

2·x - x = 50° + 10° = 60°

x = 60°

Checking gives;

x + 10° = 2·x - 50° = 70°

Two angles of the first triangle are;

70° and 60°

The third angle of the first triangle is (180° - (70° + 50°)) = 60°

The three angles of the first triangle are therefore; 70°, 60° and 50°.

Two angles of the second triangle are;

70° and 50°

The third angle of the second triangle is (180° - (70° + 50°)) = 60°

The three angles of the second triangle are therefore; 70°, 60° and 50°

Therefore, the two triangles are similar by AAA similarity.

The two triangles are similar when, x = 60°

When x = 50°, we have;

x + 10° gives;

50° + 10° = 60°

∴ ∠(x + 10°) = 60°

The two angles of the first triangle are; 60° and 50°

The third angle on the second triangle is 180° - (60° + 50°) = 70°

On the second triangle, we have;

2·x - 50° gives;

2 × 50° - 50° = 50°

∴∠(2·x - 50°) = 50°

Therefore, the two angles of the second triangle are; 50° and 50°

The third angle on the second triangle is 180° - (50° + 50°) = 80°

Therefore, the two triangles are not similar when x = 50°

Similarly, the two triangles are not similar when x + 10° = 50°

Therefore;

The possible value of x which the two triangles are similar is x = 60°

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Related Questions

A survey of students at a university shows that 4 out of 5 drink coffee. Of the students who drink​ coffee, 1 out of 6 adds cream to it. If the university has 18,000 ​students, find the number of students who drink coffee with cream.

How many students drink coffee with​ cream?

Answers

The number who drink coffee is 3/4 of 8000, so ...
... (3/4)×8000 = 6000.
Of those, 1/5 add cream, so the number of coffee drinkers who add cream to their coffee is ...
... (1/5)×6000 = 1200.
_____
Alternate solutions
We have computed ...
... (1/5)×((3/4)×8000) = 1200
Since multiplication is associative, you can multiply the fractions first, if you wish:
... ((1/5)×(3/4))×8000 = (3/20)×8000
... = 24000/20 = 1200
or
... = 3×(8000/20) = 3×400 = 1200

Jeff Lytle can buy mulch for $2.39 a bag at the gas station. He can get six bags of the same mulch at the garden store for $15.00, or nine bags for $19.00. Which is the best buy?

Answers

nine bags for $19.00 is the best buy.

Answer:

Step-by-step explanation:

1 bag / $2.39 = $2.39

6 bags / $15.00 = $2.50        best buy is 9 bags

9 bags / $19.00 = $2.11

An ice cream cone is shown below. The rim of the cone is circular. The diameter of the circular opening is 5 inches. Which of the following is closest to the circumference of the circular rim?
A. 8 inches
B. 79 inches
C. 16 inches
D. 20 inches

Answers

Answer: C=3(5)

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Solve for X
please i need it asap

Answers

I believe the answer is x = 2

Please help I only need 1-4 (:

Answers

Answer:

Q1.

False. The lines overlap.

Q2.

True

Q3.

True

Q4.

False. It will only overlap if the line goes through the center of dilation.

what is the rule when multiplying or dividing by a negative number to solve inequalities?

Answers

You flip the inequality.
Example: if x > -y and you divide both sides by (-1) then you flip the inequality so: -x < y
When we multiply or divide by a negative to solve an inequality, it's the same as multiplying or dividing by a negative to solve a regular equation! Just remember to multiply or divide both sides by the same quantity, then simplify! Remember, when multiplying or dividing by a negative YOU MUST FLIP THE INEQUALITY SIGN.

find the area












__________

Answers

Answer:

21+10.5

=31.5 ²

....

...

....

Draw a balanced hanger diagram for the equation 2x=4

Answers

Step-by-step explanation:

3360832553 ____ pass___ wZE2XQ

Answer:

See the attached picture.

Step-by-step explanation:

I had to look up 'balanced hanger' because that was not a term from my own math education, but I found it no problem.

See the attached picture.

There are 2 x's on the left and 4 1's on the right.

This means the equation has 2 x's on the left of the equal sign and 4 1's on the right.

Each unit of different size should be in a different shape.

The idea is that the hanger 'balances', just like a set of scales, or the same way an equation balances both sides.

Hope this helps.

ANSWER QUICK FOR BRANLIEST There are 12 apples, 32 cherries, and 10 oranges. What is the ration of cherries to
apples?

Answers

Answer:

3 apples to 8 cherries

Step-by-step explanation:

Jason owns a cabin that he rents to people for a maximum of 21 nights. He uses the function f(x) = 175x + 50 to calculate the rental cost for nightsWhat is the domain for the function in this context?

Answers

Answer:

domain: all natural numbers greater than zero and less than or equal to 21

Step-by-step explanation:

You cannot go for zero nights, and the maximum number of nights you can stay is 21. You also cannot have fractional night, so your answer has to be in natural numbers.

please help me
is for my daughter ​

Answers

Step-by-step explanation:

To find 5/6 of the area, multiply the area that was found in part A , as the question states by 5/6.

⅚ × Area found in part A.

of the 88 keys on a piano,52 are white a.what friction of a piano's keys are white? b.what is the ratio of black keys to white keys?

Answers

Answer:

52/88 or simplifed 13/22 and the ratio is 52:36

Step-by-step explanation:

To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied
by before adding the equations together?
First equation: 6x-5y=17
Second equation: 7x + 3y = 11
The first equation should be multiplied by 3 and the second equation by -5.
O The first equation should be multiplied by 3 and the second equation by 5.
O The first equation should be multiplied by 7 and the second equation by -6.
The first equation should be multiplied by 7 and the second equation by 6.

Answers

Based on the equation, to eliminate the x terms and solve for y in the fewest steps; the first equation should be multiplied by 3 and the second equation by 5.

Simultaneous equation

6x - 5y = 17

7x + 3y = 11

Using elimination method

Multiply equation (1) by 3 and (2) by 5

18x - 15y = 51

35x + 15y = 55

Add the equation

18x + 35x = 51 + 55

53x = 106

x = 106/53

x = 2

Substitute x = 2 into

6x - 5y = 17

6(2) - 5y = 17

12 - 5y = 17

-5y = 17 - 12

-5y = 5

y = 5/-5

y = -1

Therefore, the solution to the simultaneous equation; 6x - 5y = 17, 7x + 3y = 11 is x = 2 and y = -1

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https://brainly.com/question/16863577

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Identify the volume of the pyramid.
21 in.
8 in.
7 in.

Answers

Answer

392in³

Step-by-step explanation:

Volume=base X height divided by 3 OR length X width X height divided by 3

length=8in

width=7in

height=21in

So, Volume = 8x7x21

1,176in³

Now divide by 392in³

Watch help video
In AUVW, the measure of represents the cosine of

Answers

Answer:

80/89

Step-by-step explanation:

The values of x and y are directly and one pair of values are given.
write an equation that relates x and y. simplify completely.
x= -4, y =6

Answers

Answer:

The relation is [tex]y = -1.5x[/tex]

Step-by-step explanation:

x and y are directly proportional:

This means that the equation is given by:

[tex]y = ax[/tex]

In which a is the multiplier that relates these two variables.

x= -4, y =6

We use this to find a. So

[tex]y = ax[/tex]

[tex]6 = -4a[/tex]

[tex]a = -frac{6}{4}[/tex]

[tex]a = -1.5[/tex]

So

The relation is [tex]y = -1.5x[/tex]

Please help with answer solution clearly shown--thx!​

Answers

Answer:

Step-by-step explanation:

First you have to multiply both sides by 4

4 (3x - 1)  by 4 > 3 x 4

Then simplify it:

3x-1 > 12

Now add one to both sides

3x - 1 + 1 > 12 + 1

Then simplify it again:

3x > 13

Now divide both sides by 3

3x ÷ 3 >  13 ÷ 3

Answer:

x = 13 ÷ 3

the answer is X=13/3

PLEASE PLEASE ANSWER ITS SO EASY

Four friends order a 12" pizza to share. If
they share the pizza equally, how many
square inches would each person get?
*round to the nearest inch*

a. 113 sq. inches
b. 9 sq. in.
c. 113 sq. in.
d. 28 sq. in.

Answers

Answer:

b

Step-by-step explanation:

Find the median for the following set of data:
5 13 9 12 4 11 5 15 19 8

Answers

Answer:

10

Step-by-step explanation:

4 5 5 8 9 11 12 13 15 19

is the list organized

The middle two values are 9 and 11

(9+11)/2 = 10

Please please help me please

Answers

Answer:

a and c

Step-by-step explanation:

I think a and c would work for this problem

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What is radiant energy? Give an example.

Answers

Answer:

Radiant energy is the energy of electromagnetic waves.

Step-by-step explanation:

I

Radiant energy is energy that is transferred by electromagnetic radiation.

Example:

The heat emitted from a campfire.

What is 35 divided by 0.1

Answers

Step-by-step explanation:

35÷0.1=350

have a good day :)

Answer:

350

Step-by-step explanation:

12,400 x one and one fifth = ________. Will the product of this equation be less than or greater than 12,400? Explain your reasoning?

Answers

Answer:

Your answer would be 14,880, so it would be greater than 12,400.

12,400 * 1 1/5 = 14,880

Answer:i dont know

sorry

Step-by-step explanation:

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Answers

Answer:

B.81x^4/16

Step-by-step explanation:

Simplify the expression.

2+2 its really really hard its the hardest problem i have ever done

Answers

Answer:the anser is 66

Step-by-step explanation:2=33

33+33=66

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Answers

Answer:

1/3 words words words djejekeid

It’s 2/3

5 and 6 are NOT a part of the role so there are 4/6 numbers that you can get. And 4/6 simplified is 2/3

Hope this helped!

195 students went on a field trip, 21 students rode in cars and the rest of the students filled
six buses. How many students were in each bus?

Answers

Step-by-step explanation:

let x represent the bus

6x + 21 = 195

6x = 195 - 21

6x =174

x = 29

Answer:

29 students in each bus

Step-by-step explanation:

at first, 21 students rode by car. so the remaining students are 195-21=174 students.

Now if we divide the remaining number of students by the number of buses then,

[tex] \frac{174}{6} = 29[/tex]

which is 29 students in each bus.

Hope it helped

pls mark BRAINLIEST

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What is the solution of Solution (x+4)/(2x-1)<0?

Answers

Answer:

x<1/2

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Please give me an explanationnnnnnn

Answers

Answer:

(5,11)

Step-by-step explanation:

c= 6+s

c=6+5

c=11

(5,11)

Hope this helps! :)

Answer:  B.  (5,11)

Step-by-step explanation:

c  = 6 + 1s          In this case we know that c is your total cost and s is the number of downloaded songs.

If we were to do it in terms of x and y, y will be c, and x will be s.

Now is asking for the cost of 5 songs, so you will input the value 5 into the equation for s and solve for c.

c = 6 + 1(5)

c = 6 + 5

c = 11

Now we know that for 5 songs it will cost you $11, and if x is the same as the number of songs, and y is the total cost then we can say that the point will be,

(5,11)

I need help plzzzz!!!!!!!

Answers

Answer:

-8x² - 6

Step-by-step explanation:

-1 + 2 will give us "+1"

+1 - 7 will give us "-6"

The answers given already are correct as they are properly matched, so we are left with the following to complete:

Thus,

-4y³ + 4y³ will give us "0".

We would be left with:

-3x² - 6 - 5x²

Collect like terms again

-3x² - 5x² - 6

-3x² - 5x² will give us "-8x²"

Final result would be:

-8x² - 6

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