Are the two triangles similar? How do you know?

 Are The Two Triangles Similar? How Do You Know?

Answers

Answer 1

Answer:

Yes the triangles are similar.

if you look at Angle C it's 60° and F is also 60°

60 + 67 is 127

127 + 53 is 180° which is the amount a triangle is. (assuming that E is 67°)

Answer 2

Similar triangles may or may not be congruent triangles.

The two triangles are similar.

From the figure, we have:

[tex]\mathbf{\angle F \cong \angle C = 60}[/tex] ----- Angles F and C are corresponding

[tex]\mathbf{\angle D \cong \angle G = 53}[/tex] ----- Angles D and G are corresponding

[tex]\mathbf{\angle H \cong \angle E = 67}[/tex] ----- Angles H and E are corresponding

Add the above angles.

[tex]\mathbf{Sum = 60 + 53 + 67}[/tex]

[tex]\mathbf{Sum = 180}[/tex]

The sum of the angles equal 180 degrees,

Hence. the triangles are similar triangles.

Read more about similar triangles at:

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Related Questions

Find the solution set of the inequality
- 4x +35> 2−4x+35>2minus, 4, x, plus, 35, is greater than, 2
xxx

Answers

Answer:

[tex]\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.[/tex]

Step-by-step explanation:

A inequality is given to us and we need to find the solution set. So the given inequality to us is ,

-4x + 35 >2

[tex]\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}[/tex]

Hence the solution set is x ( 33/4 , ).

Answer:

Step-by-step explanation:

5

3y - 5x = 15 slope intercept form

Answers

Answer:

Y=3/5x-3

Step-by-step explanation:

Answer:

y=5/3x+5

Step-by-step explanation:

1)3y-5x=15

2)3y=15+5x

3)y=5+5/3x

4)y=5/3x+5    

1) Write the equation out

2) Add 5x to both sides of the equation

3) Divide both sides of the equation by 3

4) Reorder the terms  

WILL GIVE BRAINLIEST IMMEDIATELY!!! INSTANT BRAINLY!! PLS HELP
I ONLY NEED STATEMENT 7's REASON!!!
5. Consider the figure below.


Given: Parallelogram SUPN, SR ⊥ UN and MP ⊥ UN


Prove: ΔPMU ≅ ΔSRN


Complete the two-column proof below.

Answers

Answer:

The two column proof is presented as follows;

Statement                   [tex]{}[/tex]                  Reason

1. Parallelogram SUPN [tex]\overline {SR}[/tex]⊥ [tex]\overline {UN}[/tex] [tex]{}[/tex]   1. Given

and [tex]\overline {MP}[/tex]⊥ [tex]\overline {UN}[/tex]

2. ∠SRU = ∠PMN = 90°   [tex]{}[/tex]                 2. Definition of perpendicular lines

3. ∠SRU ≅ ∠PMN            [tex]{}[/tex]                 2. Definition of congruency

4. [tex]\overline {UP}[/tex] ║ [tex]\overline {SN}[/tex]                      [tex]{}[/tex]                4. Opposite sides of a parallelogram are                                            [tex]{}[/tex]                                                               congruent

5. ∠SNR ≅ ∠PUM             [tex]{}[/tex]               5. Alternate interior angles are congruent

6. [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex]                      [tex]{}[/tex]               6. Opposite sides of a parallelogram are                                            [tex]{}[/tex]                                                              congruent

7. ΔPMU ≅ ΔSRN                 [tex]{}[/tex]           7. By AAS rule of congruency

By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM, [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex])  of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)

Step-by-step explanation:

A pole that is 2.7 m tall casts a shadow that is 1.76 m long. At the same time, a nearby building casts a shadow that is 44.25 m long. How tall is the building? Round your answer to the nearest meter.​

Answers

Answer:

81

Step-by-step explanation:

9x9

2x2

Answer: 81

Step-by-step explanation:

Write down the inequality described by five is greater than the result of taking six away from x", and solve for x.

Answers

Answer:

x < 11

Step-by-step explanation:

Taking the problem piece by piece;

five is greater than

5 >

the result of taking six away from x

x - 6

Solve for x;

5 > x - 6

5 + 6 > x

11 > x

x < 11

Describe each polynomial expression by type and components based on the example shown.

3x2 + 2x
2x2 − 5x + 3
6x
Example: -4x2 + 9

This polynomial expression is a quadratic binomial, with a coefficient of -4 on the quadratic term, a constant term of 9, and no linear terms.

Answers

Answer:

1) [tex]3\cdot x^{2}+2\cdot x[/tex] - The polynomial expression is a second-grade binomial, with a coefficient of 3 on the second-grade monomial component and a coefficient of 2 on the first-grade monomial component.

2) [tex]2\cdot x^{2}-5\cdot x + 3[/tex] - The polynomial expression is a third-grade trinomial, with a coefficient of 2 on the second-grade monomial component, a coefficient of -5 on the first-grade monomial component and a coeffcient of 3 on the zero-grade monomial component.

3) [tex]6\cdot x[/tex] - The polynomial expression is a first-grade monomial, with a coefficient  of 6 on the first grade monomial component.

Step-by-step explanation:

1) [tex]3\cdot x^{2}+2\cdot x[/tex] - The polynomial expression is a second-grade binomial, with a coefficient of 3 on the second-grade monomial component and a coefficient of 2 on the first-grade monomial component.

2) [tex]2\cdot x^{2}-5\cdot x + 3[/tex] - The polynomial expression is a third-grade trinomial, with a coefficient of 2 on the second-grade monomial component, a coefficient of -5 on the first-grade monomial component and a coeffcient of 3 on the zero-grade monomial component.

3) [tex]6\cdot x[/tex] - The polynomial expression is a first-grade monomial, with a coefficient  of 6 on the first grade monomial component.

Answer:

3x2 + 2x

This polynomial expression is a quadratic binomial, with a coefficient of 3 on the quadratic term, a linear term with coefficient 2, and no constant.

2x2 − 5x + 3

This polynomial expression is a quadratic trinomial, with a coefficient of 2 on the quadratic term, a linear term with coefficient -5, and constant 3.

6x

This polynomial expression is a linear monomial with a coefficient of 6 on the linear term and no constant.

Step-by-step explanation:

plato answer

Pls help easy points question On the photo

Answers

a) tomatoes : chicken broth = 9:15 or 3:5
Tomatoes : spinach = 9:9 = 1:1
Spinach : chicken broth = 9:15 = 3:5

b) tomatoes : chicken broth = 4.5:7.5 = still 3:5
Tomatoes to spinach is still 1:1
Spinach : chicken broth 4.5:7.5 still = 3:5

Dividing all quantities by 2 doesn’t change the ratio.

Answer pls. question in photo

Answers

I believe it is the 4th one
It has to be the fourth one

Find the unknow measures of y and x.​

Answers

9514 1404 393

Answer:

  x = 2 m

  y = 30°

Step-by-step explanation:

The side lengths of ΔDEF are 3/9 = 1/3 of those of ΔABC.

  x = DF = 1/3(AB) = (1/3)(6 m)

  x = 2 m

__

Angle measures of ΔDEF are the same as those of the corresponding angles of ΔABC.

  y = ∠B = ∠E = 30°

  y = 30°

HELP ME SOLVE HURRY I WILL MARK BRAINLIEST THANKS

Answers

Answer:

your y intercept is 90 and the equation would be y= 90 and x is unknown

2. Classify the angle as acute, obtuse, right or straight.
O acute
O obtuse
Oright
straight

HELP ASAP

Answers

Answer:

Please include the details of the angle

Step-by-step explanation:

When the angle is 93 degrees, the the angle is a obtuse angle. option B is correct.

Given that the measure of angle A is 93 degrees, we can classify the angle as follows:

Angle A = 93 degrees

We know that if angle is less than 90 degrees, it is acute.

if angle is greater than 90 degrees, it is obtuse.

if angle is equal to 90 degrees, it is right angle.

Since the angle measures greater than 90 degrees, it falls within the range of an obtuse angle.

Therefore, the correct classification for angle A is obtuse.

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The measure of angle A is 93. Classify the angle as acute, right, obtuse, or straight

A acute

B right

C obtuse

D straight

For the line above, what is the slope? *

Answers

Answer:

1

Step-by-step explanation:

Find the rise over run

Rise = 3

Run = 3

3/3 = 1

Slope = 1

Answer:

1

Step-by-step explanation:

First, you take any two points from the line, I put (2,1) and (0,-1). You plug it into the formula y2-y1/x2-x1 which would be -1-1/0-2 which is equal to -2/-2=1

Hope this helps

Hello im in 8th grade and I need to get my grades up so anyone know the answer to
-12 minus 12x = 36
work also needs to be shown if possible thank you​

Answers

Answer:

x = 3

Step-by-step explanation:

12x = 36

simply 12 will go to the other side and switches to the opposite sign for example + will be -

× will br ÷

so 36 ÷ 12 =3

x = 3

Let g(x) be the reflection across the x-axis of the function f(x) = 7x + 3. Identify the rule for g(x).

Answers

Answer:

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

Step-by-step explanation:

[tex]y = 7x + 3[/tex]

[tex] - y = 7x + 3[/tex]

[tex]y = - 7x - 3[/tex]

so

[tex]g(x) = - 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

What is the function?

Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.

Here given that,

Let [tex]g(x)[/tex] be the reflection across the x-axis of the function [tex]f(x) = 7x + 3[/tex]. Identify the rule for [tex]g(x)[/tex].

So,

[tex]y = 7x + 3\\-y= 7x + 3\\y = - 7x - 3\\g(x)=- 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

To know more about the function

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Plz help fast will mark brainliest

Answers

Answer:

The answer is 2.89 in 2dp

3 cube is 27

27 minus 6.8 is 20. 2

20. 2 decide by 7 is 2.89

Answer:

  the answer would be 3

Step-by-step explanation:

Because 3 to the third power is 27 and 6 times 8 is 48 so you subtract 27 and 48 and you get 21 so you divided 21 and 7 and you get 3. sorry if that's confusing but I hope it helped.

WILL GIVE BRAINLIEST TO WHOEVER ANSWERS ALL 3 AND GETS THE RIGHT! PLEASE HELP

Answers

Answer:

4. 21

5. 45

6. 22

Step-by-step explanation:

4. 6 + (2^4) - 1

   6 + (16) - 1

   22 - 1 = 21

5. (4 * 3²) + (18 - 9)

   (4 × 9) + (9)

   (36) + (9) = 45

6. 16 + (5² - 7) ÷ 3

PEMDAS tells us to do what's in Parentheses first

16 + ( 25 - 7) ÷ 3

16 + (18/3)

16 + 6 = 22

Can this be reduced?

Answers

This answer is 2/11
I used my brain lol !!!

Work out the following, giving your answers in their simplest form:
a) 2/3 divided by 1/4
b) 7 divided by 2/3

Answers

definitely recommend the app Fraction Calculator Plus

a) 2 and 2/3
b) 10 and 1/2

a)

A hollow cylinder has solid hemisphere in one end and on the other end it is closed with a flat circular plate. The height of water is 10cm when flat circular surface is downward. Find the level of the water, when it inverted upside down, common diameter is 7cm and height of the cylinder is 20 CM.​

Answers

Answer:

this will be the correct answer

i don’t understand, explain also

Answers

Answer:

32

63

Step-by-step explanation:

m<BCA=180-148-32 Subtract 180-148 b/c x<BCA is along the straight line ACD. A straight line will have an angle of 180 degrees.

m<CAB=180-32-85=63 All triangles have angles which add up to 180 degrees. Subtract 32 and 85 from 180 to get 63.

Step-by-step explanation:

148 + x = 180

x = 180 - 148

x = 32

Find m<CAB basically means find the measure of the angle of A ( m<A )

m<B + m<A + x = 180

85 + m<A + 32 = 180

117 + m<A = 180

m<A = 180 - 117

m< A = 63, so m<CAB = 63

And m<BCA means find the measure of angle C(m<C) or as we did it earlier as x, which is the same thing.

So m<BCA = 32

The area of square ABCD is 144 square units. The area of square EFGH is 64 square units. H∈ AB and G∈ BC . The blue area is three times the red area. Find the area of △HBG.

Answers

Answer:

24

Step-by-step explanation:

RSM

y = 7x + 10y = -4x - 23

Answers

Answer:

              11x+23

y=    -    --------------

                  10

Step-by-step explanation:

What is the difference between an independent variable and a dependent variable in statistics?

Answers

Answer:

The cause is the independent variable. In your study, its value is independent of other variables. The affect is the dependent variable. Its value depends on the independent variable being changed.

Step-by-step explanation:

Simplify the expression below 12 divided by (2+1)

Answers

Answer:

12 divide by 2+1

2+1=3 so

12/3

4

PLZ PLZ PLZ ANSWER THIS!!!!

Answers

Answer:

a.

Step-by-step explanation:

girls 60/50

boys 40/50

40/50 is 10

SOMEONE HELP PLEASE

Answers

Answer:

We cant see what you are talking about we cant see the equation

Step-by-step explanation:

Step-by-step explanation:

106+94+135+5 = 340

540-340=200

200/2= 100

X = 100

What's the answer?

A) Y= 2x
B) Y= -2x - 4
C) Y= 2x - 2
D) Y= 2x + 2

Answers

Hi!! I'd love to help!!

The slope of your points is 2.

When we use the slope intercept formula (y=mx+b), we get y=2x-2.

So the answer to your question is C

Hope this helps!! Let me know if you need any more help or have questions/concerns.

How do I simplify fractions ?

Answers

Write down the factors for the numerator and the denominator.

Determine the largest factor that is common between the two.

Divide the numerator and denominator by the greatest common factor.

Write down the reduced fraction.

Explain 3 areas in everyday life when you use math.

Answers

If u become a teacher , to get into collage and uni
Managing money,understanding sports and baking/cooking

Please help! I need an explanation also because I am currently having trouble

Answers

Answer:

E = 80 degrees

Step-by-step explanation:

7x + 3 + x + 15 + 74degrees = 180

8x + 92 = 180

8x = 180 - 92

8x = 88

x=11

m<E = 7x + 3

7(11) + 3

77 + 3

= 80

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