∆ ABC and ∆ DEF are two similar triangles such that ∠A = 360 and ∠E = 740

, then find ∠C.​

 ABC And DEF Are Two Similar Triangles Such That A = 360 And E = 740, Then Find C.

Answers

Answer 1

Answer:

∠C = 70°

Step-by-step explanation:

When dealing with similar triangles, the angles of both triangles are equal. With that being said, the letters of those angles typically corralete as well. In this case, we have ΔABC and ΔDEF. Based on the way those letters are arranged, we can assume the following:

∠A = ∠D

∠B = ∠E

∠C = ∠F

The question tells us ∠A = 36°. Since we know that ∠A is equal to ∠D, we know that ∠D also equals 36°. The question also tells us ∠E = 74°. Once again, since we know that ∠E is equal to ∠B, we know that ∠B is 74° as well.

Now we use that information to solve for ∠C. The sum of the angles of a triangle always adds up to 180°. Because we know that, we can solve easily:

180 - (36 + 74) = 70

∴ ∠C = 70°


Related Questions

Write the slope-intercept form of the equation of the line through (-2, 4) with a slope of -4
y = -4x + 4
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y = -4x - 4
y = 3x - 4

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The answer is y= -4x+4

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This graph shows the temperature on a winter night over time.



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Enter your answer in the box.


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the temperature decreases 5°F every hour
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Answer:

I looks like it's A. Hope I helped!

0.56 divided by 9. I'm just wondering so I can answer my sister

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Answer:

0.062 or in fraction form 14/225

Step-by-step explanation:

Answer:

0.062222222

Step-by-step explanation:

8
Describe the error in the work shown.
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Answer:

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Step-by-step explanation:

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Point B is halfway between A and C. The distance from C to D is the same as the distance from D to E, which is the same as the distance from E to F. The area of triangle ACF is 180 cm2. How many square centimeters is the shaded area of triangle BCE?

Answers

Answer:

the area of a regular hexagon is A=(3√3/2)a², a is the side length.

so A=(3√3/2)*5.2²=70.25

C is the correct answer

Step-by-step explanation: Hope this helps:)

Answer:

3

Step-by-step explanation: Hope this help u

I need help ASAP!!
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Answer:

-|x+2|+2

Step-by-step explanation:

Just need some help

Answers

Step-by-step explanation:

D

a triangle is 180°

180-126= 54

Now you have:

56+54+X=180

110+X=180

-110 -110

X=70

Answer:

70 wanna know why add the sides then divide

Step-by-step explanation:

Cut out the shapes of NETS of Cube, Cuboid and Cylinder as per the dimensions given below and find its Total Surface Area and Lateral Surface Area Dimensions of Cube = 5cm x 5cm x 5cm Dimensions of Cuboid = Length=10cm, Breadth=5cm, Height = 4cm Dimensions of Cylinder= Diameter 7cm and height 10cm

Answers

Answer:

a. i. 150 cm³ ii. 150 cm³

b. i. 220 cm³ ii. 120 cm³

c. i. 297 cm² ii. 220 cm²

Step-by-step explanation:

a. For the cube

Dimensions of Cube = 5cm x 5cm x 5cm

Length of side = 5 cm

i. Total surface area A = 6L² where L = length of side = 5 cm

So, A = 6 × (5 cm)²

= 6 × 25 cm³

= 150 cm³

ii. Lateral surface area A' = 4L²

= 4 × (5cm)²

= 4 × 25 cm²

= 100 cm²

b. For the cuboid

Dimensions of Cuboid = Length, l = 10cm, Breadth, b = 5cm, Height, h = 4cm

i. Total surface area A = 2(lb + lh + hb)

= 2(10 cm × 5 cm + 10 cm × 4 cm + 4 cm × 5 cm)

= 2(50 cm² + 40 cm² + 20 cm²)

= 2(110 cm²)

= 220 cm²

ii. Lateral surface area A' = 2(lh + hb)

= 2h(l + b)

= 2 × 4 cm (10 cm + 5 cm)

= 8 cm × 15 cm

= 120 cm²

c. For the cylinder

Dimensions of Cylinder = Diameter, d = 7cm and height, h = 10cm

i. Total surface area, A = 2πr(r + h) where r = radius = d/2

A = πd(d/2 + h)

= 22/7 × 7 cm(7 cm/2 + 10 cm)  

= 22cm(3.5 cm + 10 cm)

= 22cm(13.5 cm)

=  297 cm²

ii. Lateral surface area A = 2πrh

= πdh

= 22/7 × 7 cm × 10 cm

= 22 cm × 10 cm

= 220 cm²

What is the product of 5 and 2/3

Answers

The product of 5 and 2/3 is 5.6666

Answer:3 1/3

Step-by-step explanation:5/1 x 2/3=10/3=3 1/3

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Answers

Answer:

x ≥ 15/2 im pretty sure

Step-by-step explanation:

reduce the fraction: -7 ≤ x + 1/2. move the terms: -x ≤ 1/2 + 7 calculate the sum: -x ≤ 1/2 + 7 = -x ≤ 15/2 and change the signs: x ≥- 15/2.

Solve the system if equations by substitution
Y=4x+9
y=9x+10

Answers

here is the work! hope it helps

find the measure of each angle acute angle in a right triangle where the measure of one acute angle is twice the difference of the measure of the other acute angle and 12​

Answers

Answer:

The measures of the acute angles are 38 and 52 degrees.

Step-by-step explanation:

In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles [tex]a[/tex] and [tex]b[/tex].

[tex]a + b +90 = 180[/tex]

The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:

[tex]a = 2(b-12)[/tex]

Now we have two equations. If we simplify them, we get these:

[tex]\left \{ {{a=90-b} \atop {a=2b-24}} \right.[/tex]

Now you can substitute [tex]a[/tex] in the first equation for [tex]a[/tex] in the second equation

[tex]90-b=2b-24[/tex]

Add [tex]b[/tex] to both sides of the equation

[tex]90 = 3b-24[/tex]

Add [tex]24[/tex] to both sides

[tex]114 = 3b[/tex]

Divide both sides by 3

[tex]38 = b[/tex]

Now, you can substitute [tex]38[/tex] for [tex]b[/tex] in the first equation and simplify.

[tex]a = 90-38[/tex]

[tex]a=52[/tex]

Therefore,

[tex]a=52[/tex], and [tex]b=38[/tex]

Don't forget to like and make it the brainliest!

The value of the angles are 38° and 52° respectively

Let the acute angles be represented by a and b.

Based in the information given,

a = 2(b - 12)

a = 2b - 24.

Note that the angle in an acute angle equals to 90°.

Therefore,

a = 90 - b.

a = 2b - 24

Equate the equations together

90 - b = 2b - 24

2b + b = 90 + 24

3b = 114

b = 114/3

b = 38

Therefore, a will be:

= 90° - 38° = 52°

The value of the angles are 38° and 52° respectively.

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Answer:

i don' think you can

Step-by-step explanation:

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for brainliest

Answers

Answer:

Max made a mistake in step 5.

He should have used division instead of multiplication.

Step-by-step explanation:

In step #5, he made the mistake of multiply 5/6 by 5/6. The reason why this doesn't work is because y is not a full y. When there isn't a number beside a variable, it is implied that it is 1y. To solve for y, you need 1y or else results or inaccurate.

In reality, 5/6 * 5/6 is equal to 25/36. If you divided 5/6 by 5/6, it is equal to 1, which makes y a full y.

Answer:

he made a lot of mistakes, but i'd say he used division instead of multiplication in step 5

(but the biggest mistake was adding 1/6 to both sides instead of multiplying by it)

Step-by-step explanation:

Multiply. What is the value of the second partial product?

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Answers

Answer:

Below

Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

4

Step-by-step explanation:

(x,y)

Answer:

4 :)

Step-by-step explanation:

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At the book store, you purchased some $3 clearance mystery books and $8
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total of $77?

Answers

Answer:

15 of $3 books and 4 of the $8 books

Step-by-step explanation:

15×3= 45

8 × 4= 34

45+32= 77

A student has a container with a volume of 0.5 liter.She estimates the volume to be 0.4 liter. By what percent is the​ student's estimate​ off?

Answers

Answer:

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Answer:

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Step-by-step explanation:

the bag has R and B marbles

P(B)=1/12 = number of blue /total number of marbles

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Step-by-step explanation:

What the question¿?¿

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Answer:

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i think

Square P and Square Q are similar squares. The ratio of the side length of Square P to the side length of Square Q is 2:7. if the side length of Square P is 3.5 inches, what is the perimeter of Square Q?

Answers

Answer:

3.5 sq

Step-by-step explanation:

Answer:

49 inches

Step-by-step explanation:

Perimeter of square Q is 49 inches.

Let x be the length of side of square P and y be that of square Q.

It is given in the question that :

x\y = 2\7

Also it is given that x=3.5 inches. Hence

3.5/y = 2/7

∴ y=12.25 inches.

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What is the percent of change if 18 is increased to 45? Round your answer to the
nearest percent.
THE PERCENT OF CHANGE IS
% INCREASE

Answers

Answer:

150%

Step-by-step explanation:

% change = change/original x 100

45-18 = 27

27/18 x 100 = 150

The percent of change if 18 is increased to 45, to the nearest percent, is calculated as: 150%.

How to Calculate the Percent of Change?

To calculate the percent of change when 18 is increased to 45, we can use the formula:

Percent of change = ((New value - Initial value) / Initial value) * 100

Let's plug in the values and calculate the percent of change:

Percent of change = ((45 - 18) / 18) * 100

Percent of change = (27 / 18) * 100

Percent of change = 1.5 * 100

Percent of change = 150

Therefore, the percent of change is 150%, indicating a 150% increase.

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For $7.90, you purchased 8 items (pens and highlighters) from a local bookstore. Each highlighter cost $1.09 and each pen cost $.68. Write a system of equations that can be used to find how many of each you bought.

A. 8p+8h=7.90 and 1.09+.68h=7.90

B. h+p=8 and .68h+ 1.09p=7.90

C. p+h=7.90 and .68p+1.09h=8

D. h+p= and 1.09h+.68=7.90

Answers

Answer:

D, i believe it should be h+p=8 and 1.09h + 0.68p = 7.90

Step-by-step explanation:

purchased 8 items in total; therefore, h+p=8

cost of each item, multiplied by quantity, equals grand total of $7.90

The machine can produce 168 leaflets in 8 minutes. How many can it produce in an hour

Answers

Answer:

1260

Step-by-step explanation:

168 ÷ 8= 21

21 x 60 = 1260

Have a good day can I get a brainiest if right please? :3 Byeee!

What is the common difference of the arithmetic sequence? 2,5,8,11,14...

Answers

The common difference is 3.

14-11=3

11-8=3

8-5=3

5-2=3

You can see here that the difference between two consecutive numbers in this sequence are all 3.

i’m gonna say the common difference is 3...
difference = 3
i hope that’s correct!!!

If 2 is divided into pieces that are each 1/7 of a whole, how many pieces are there?

Answers

Answer:

There are 14 pieces in 2 wholes.

Step-by-step explanation:

In order to solve this question we need to understand that "a whole" is another way of saying 1. So then this question askes the following, "How much does  [tex]\frac{1}{7}[/tex] fit into 2. In order to find that out we just have to divide 2 by [tex]\frac{1}{7}[/tex] and so we get.....

2 /  [tex]\frac{1}{7}[/tex] = 14

List three different combinations of coins, each with a value of 30% of a dollar.

Answers

- 3 dimes
- 1 quarter & 1 nickel
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