Mathematics High School

State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement

State Whether Or Not The Following Triangles Are Similar. If Not, Explain Why Not. If So, Write A Similarity

Answers

Answer 1

9514 1404 393

Answer:

  a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

  b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

  NC/RL = 45/30 = 3/2

__

b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.

Related Questions


Who is taller: Randall who stands 68 inches tall or Javier who stands 6 feet tall?
Explain your reasoning. Use the sentence frames below to help you.
Note: 1 foot is equal to 12 inches.

Answers

Answer: javier is taller

Step-by-step explanation:

68inches=5' 8"

javier is taller then randall by 5’8 inches

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=29°, and SQ = 5 feet. Find the length of QR to the nearest tenth of a foot.

Answers

Answer:

2.8 feet

Step-by-step explanation:

tan(29)=x/5

5tan(29)=x

2.8=x

Answer:

5.7

Step-by-step explanation:

Solve using elimination. 9x − 9y = –18 10x − 9y = –13

Answers

Answer:

y = 5, y = 7

Step-by-step explanation:

if x=10, write an expression in terms of x for the number 5,364

Answers

Answer:

(5,354 + x)

or

536.4*x

Step-by-step explanation:

We know that x = 10.

Now we want to write an expression (in terms of x) for the number 5,364.

This could be really trivial, remember that x = 10.

Then:  (x - 10) = 0

And if we add zero to a number, the result is the same number, then if we add this to 5,364 the number does not change.

5,364 = 5,364 + (x - 10) = 5,364 + x - 10

5,364 = 5,354 + x

So (5,354 + x) is a expression for the number 5,364 in terms of x.

Of course, this is a really simple example, we could do a more complex case if we know that:

x/10 = 1

And the product between any real number and 1 is the same number.

Then:

(5,364)*(x/10) = 5,364

(5,364/10)*x = 5,364

536.4*x = 5,364

So we just found another expression for the number 5,364 in terms of x.

write the answer in the simplest radical form
[tex] \sqrt{56} [/tex]
​

Answers

Hi. Here it is!
I hope this help!

Alright here is a repost

Answers

Answer:

50 degrees

Step-by-step explanation:

180-130=50

Answer:

The answer was already given(50°), but I can explain it further.

Step-by-step explanation:

These are supplementary angles, two angles that, together, make 180 degrees.

We know the angle of one of them, 130°, and in order to find the other one, x, we have to subtract what the entire this equals, 180°:

180° - 130° = x

50° = x

x = 50°

I hope this helped you, even if this was two hours ago.

Someone help what would my average be if I got 100% on my both of my tests? I just wanna know

Answers

Answer:

To figure out your average, you add them together then divide by2

Step-by-step explanation:

HELP HELP PLEASE WRING ANSWERS OR LINKS WILL BE REPORTED ​

Answers

Answer:

$0.24 per orange

Step-by-step explanation:

$3.84 / 16 = 0.24

what is (−4)⋅(−4)⋅(−4)⋅y⋅y

Answers

Answer:

64y^2

Step-by-step explanation:

help me asap plss school is done in 4 mins plsssss help me asap

Answers

Answer:

3(y +8) (d+e) /4

Step-by-step explanation:

I gotta get to class too soon so my explanation here is just to get this sent. hopefully it does. I tried my best. could be wrong

In the coordinate plane, what is the distance
between (-3, 5) and (-3,-8)?

Answers

Answer:

3

Step-by-step explanation:

Plug the coordinates into the distance formula to find that they are 3 units apart

Answer:

13 units

Step-by-step explanation:

sqrt (x2 - x1)^2 + (y2 - y1)^2

sqrt (-3 - (-3))^2 + (-8 -5)^2

sqrt (0)^2 + (-13)^2

sqrt 169

13

PLS HELP! I'M SO STUCK!!

Answers

Answer:

E

Step-by-step explanation:

i just kinda figured it out

Answer this question
y is less than or equal to three more than the product of x and negative two thirds put it on standard form

Answers

I hope this helps you

A. 37
B. 53
C. 127
D. 217​

Answers

X = 127
Trust me, this was the one thing I was good at in school

PLEASE I NEED HELP
uhh whats 1 + 2
I don't get it. I have a feeling its 12 though.

Answers

your answer should be 3 :)

What are the values of x that would make the line j parallel to line k? Help me please!

Answers

Answer:

For line j to be parallel to line k, then x has to be equal to 0

Step-by-step explanation:

if line j is parallel to line k, then the two angles are equal.

They are equal because they would be alternate angles and alternate angles are equal in value

Thus,

3x + 10 = 5x + 10

5x-3x = 10-10

2x = 0

x = 0

Does anyone know about this question I give brainless If you answer this correctly

Answers

Answer:

Side x = 2.12132 = 3√2/2

Step-by-step explanation:

I used a triangle calculator to find side x

1 - Which expression is equivalent -2(x + 4) - (3x + 8)?
(50 Points)
5x + 16
5x - 16
-5x + 16
-5x - 16

Answers

Answer:

-5x-16

Step-by-step explanation:

Combine like terms

Step-by-step explanation:

If you want to multiply a parenthesis by a number, you simply distribute the number to all the terms in the parenthesis.

So, if you want to multiply the parenthesis

(3x−7) by 5, you need to multiply by 5

both 3x and −7.

We have that 5⋅(3x)=5⋅(3⋅x)=(5⋅3)⋅x=15x and −7⋅5=−35

So, 5(3x−7)=15x−35

What is the factored form of 6x²+13x+5?

Answers

Answer: (3x+5) x (2x+1).
If you need help with math I suggest using an app called Photomath :)

Answer:

x1=-1/3 and x2=-1/5

3(3x+1)+2(5x+1)

3x+1=0,5x+1=0

×=-1/4 x=-1/5

Each glass vase at a Mother’s Day brunch has 8 stems, of which 37.5% are stems of greenery. How many stems of greenery are in each vase?

Answers

I believe the answer is there are 3 stems of greenery in each vase.

You just do 8 times 37.5% or 0.375 and get 3.

to know if two figures are _______ you have to analyze they have to have the same shape but not the same size​

Answers

Answer:

Similar!

Step-by-step explanation:

Hope this helps!

Congruent. 2 shapes are congruent if they are the same shape but not same size

If ab=8 and a^2+b^2=16 then what is the valué of (a+b)^2 PLSS HELP NOW

Answers

I think that i got it but at the same time not sure but the value of a+b should be 14+20

What is the surface area of the rectangular prism below
7 7 14

A.496 B.490 C.980 D.248

Answers

Answer:

B.490

Step-by-step explanation:

Correct me if im wrong

Answer: 490

Step-by-step explanation:

Find the area of the figure.

Answers

Step-by-step explanation:

Area of Rectangle at the top =

Length x Width

[tex] = 3.5 \times 3 \\ = 10.5 {mm}^{2} [/tex]

Area of Quarter- Circle = 1/4 x Area of Circle

[tex] = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} [/tex]

Area of Rectangle at the right = Length x Width

[tex] = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} [/tex]

Total Area = Area of 2 Rectangles + Area of Quarter Circle

[tex] = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} [/tex]

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.

What does this equal to

|9-14|

Answers

Answer:

5

Step-by-step explanation:

An absolute value is NEVER negative.

|9 - 14| = |-5| = 5

Answer: 5

5. How far can you get away from your little brother with a squirt gun filled point
with paint if you can travel at 3 m/s and you have 15 s before he sees you?"
45 m
5 m
2 m
20 m

Answers

Answer:

45 meters

Step-by-step explanation:

I hope this helps.

Factor the difference of perfect squares. 4x^2 - 1

Answers

Answer:

(2x+1)(2x-1)

Step-by-step explanation:

4x^2-1

(2x)^2-1

(2x)^2-1^2

(2x+1)(2x-1)

What is the point that divides line DC into a ratio of 1:3, starting from point D C (-120, 83) D (156, -64)

Answers

Answer:

Step-by-step explanation:

Which of the following sets of points would create a rectangle when connected?
A.
(1,2) , (2,3) , (3,5) , (5,1)
B.
(2,1) , (3,2) , (5,3) , (1,5)
C.
(1,2) , (3,1) , (3,2) , (1,5)
D.
(1,2) , (3,2) , (3,5) , (1,5)

Answers

CORRECT ANSWER: D
Explanation: I just did the work, but the y’s on the first two match up and they match in the second two. It’s D

Which expression is equivalent to 2x + 2
A (2 + x) + 2
B 2(x + 2)
C 2(x + 1)
D 4x

Answers

The correct answer is C. If you distribute the equation, you would get 2x + 2. Hope this helps!
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