for question 8. Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.

For Question 8. Determine Whether The Triangles Are Similar. If Similar, State How (AA, SSS, Or SAS),

Answers

Answer 1

9514 1404 393

Answer:

  yes, SAS

Step-by-step explanation:

Two sides are given, either side of a vertical angle. So, the angles are the same. If the sides are proportional, the similarity will be by SAS (two sides, either side of an angle).

The ratios of short to long sides are ...

  39/52 = (3·13)/(4·13) = 3/4

  63/84 = (3·21)/(4·21) = 3/4

The sides are proportional and the angle between them is congruent, so ...

  the triangles are similar by SAS.


Related Questions

The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to
triangle ABC?
(-3,1),(-3,5),(0,5)
(1,-2),(1,3),(4,3)
(6,-3),(1,-3),(6,1)
(1,3),(1,4),(5,1)

Answers

Answer:

Im pretty sure the answer is C because there is a side that is 3, a side that is 4, and a side that is 5

Step-by-step explanation:

Answer:

The answer is A or (-3,1),(-3,5),(0,5)

Step-by-step explanation:

I guessed on E d g e (2021) and got it right :)

Solve each system using substitution or elimination. Show all required work. -10x^2+80x+y=155 5x^2-40x+y=-85

Answers

Answer:

[tex]x = 4[/tex]

[tex]y = -5[/tex]

Step-by-step explanation:

Given

[tex]-10x^2+80x+y=155[/tex]

[tex]5x^2-40x+y=-85[/tex]

Required

Solve by substitution

Make y the subject in [tex]5x^2-40x+y=-85[/tex]

[tex]5x^2-40x+y=-85[/tex]

[tex]y = -5x^2 + 40x - 85[/tex]

Substitute [tex]y = -5x^2 + 40x - 85[/tex] in the first equation

[tex]-10x^2+80x+y=155[/tex]

[tex]-10x^2 + 80x -5x^2 + 40x - 85 = 155[/tex]

Collect Like Terms

[tex]-5x^2-10x^2 + 80x + 40x - 85 - 155=0[/tex]

[tex]-15x^2 + 120x-240=0[/tex]

Divide through by -15

[tex]x^2 -8x + 16 = 0[/tex]

[tex]x^2 - 4x - 4x + 16 = 0[/tex]

[tex]x(x - 4) - 4(x - 4) = 0[/tex]

[tex](x - 4)(x - 4) = 0[/tex]

[tex]x - 4\ = 0[/tex] or [tex]x - 4\ = 0[/tex]

[tex]x = 4[/tex] or [tex]x = 4[/tex]

[tex]x = 4[/tex]

Substitute 4 for x in [tex]y = -5x^2 + 40x - 85[/tex]

[tex]y = -5(4)^2 + 40 * 4 - 85[/tex]

[tex]y = -5*16 + 40 * 4 - 85[/tex]

[tex]y = -80 + 160 - 85[/tex]

[tex]y = -5[/tex]

Find the slope of the line.
-1
3
-10
-11
12
4
3
2 0 1
9 10
The slope is
Turn

Answers

-1

Step-by-step explanation:

because looking at the graph it is negative, and it goes down one over one

1/3x-2=16 solve the equation

Answers

Answer: x= 1/54
Explained: easy mental math :p

Answer:

x=54

Step-by-step explanation:

1/3 x 54 = 18, 18 - 2 = 16

:)

D(n) = \dfrac{5}{16} \left(2\right)^{n - 1}d(n)= 16 5 ​ (2) n−1 d, left parenthesis, n, right parenthesis, equals, start fraction, 5, divided by, 16, end fraction, left parenthesis, 2, right parenthesis, start superscript, n, minus, 1, end superscript What is the 5^\text{th}5 th 5, start superscript, start text, t, h, end text, end superscript term in the sequence?

Answers

Answer:

d(5) = 5

Step-by-step explanation:

The nth term is given by :

[tex]d(n)=\dfrac{5}{16}\times 2^{n-1}[/tex] ...(1)

We need to find the 5th term of the above sequence. For this, put n = 5 in the above formula.

[tex]d(5)=\dfrac{5}{16}\times 2^{5-1}\\\\=\dfrac{5}{16}\times 2^4\\\\=\dfrac{5}{16}\times 16\\\\=5[/tex]

So, the 5th term in the above sequence is 5.

Answer:

5

Step-by-step explanation

The equation 4 = p(l+r) can be used to calculate compound interest on a savings account. A = future balance
p= current balance, r= rate of interest, and t= time in years. If you deposit $2,000 at 10% each year, how much
money will be in your account in 10 years? (Round to the nearest dollar.)
A 2200
B. 4000
C. 4318
D. 5,187

Answers

I thin it’s c too pls

what is the answer to the question?​

Answers

Answer:

120°

Step-by-step explanation:

m<ABD+m<DBC=m<ABC

61°+59°=120°

hope this helped!

Answer:

We conclude that the value of m∠ABC = 120°

Step-by-step explanation:

Given

m∠ABD = 61°

m ∠DBC = 59°

To Determine

m∠ABC = ?

It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.

Therefore,

m∠ABC = m∠ABD + m∠DBC

             = 61° + 59°            ∵ m∠ABD = 61°, m ∠DBC = 59°

             = 120°

Therefore, we conclude that the value of m∠ABC = 120°

its all in the picture

Answers

Answer:

6

Step-by-step explanation:

..............................

Answer:

f(- 3) = 6

Step-by-step explanation:

f(- 3) means what is the value of f(x) when x = - 3

Locate x = - 3 on the x- axis

Then go vertically up to meet the graph at (- 3, 6 )

The value of f(- 3) is therefore 6, that is

f(- 3) = 6

Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11

Answers

The answer is B y= 11x-7

Answer:

its b

Step-by-step explanation:

i need points  sorry

Solve the system of linear equations by graphing.
y=-42 +3
40 - 2y = 6

Answers

Answer:

its a i did it on egn

Step-by-step explanation:

The temperature is 8° Fahrenheit. If the weatherman predicts the
temperature will drop 12° within the next eight hours, what will the
temperature be?

Answers

Answer:

-4 degrees Farenheit

Step-by-step explanation:

8-12=-4

​If six people share 4 pints of lemonade equally, how much ​lemonade will each person receive? ​​

Answers

Answer:

1.5

i think

Step-by-step explanation:

EMERGENCY, EMERGENCY, I WILL GIVE BRAINLIEST
[tex]\frac{1}{4} (2x^{2}-12) = 15[/tex]
Solve for x, do ur steps!!!!!!

Answers

first you must distribute the 1/4 to get
: 1/2x^2-3=15
then you have to add three to both sides so it become
: 1/2x^2=18
then divide by 1/2 to get
:x^2 =36
then take the square root to get a final answer of
:x=6

-18 > -2(2x + 9) - 4+x​

Answers

Answer:

x>-4/3 last answer i got i hope it is helpful have a nice day

Plz answer this!⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️

Answers

Answer:

1/2 ÷ 3/10

1/2×10/3

5/3

1 2/3

1) option is correct

9514 1404 393

Answer:

  1)  1 2/3

Step-by-step explanation:

The model of choice 1 shows that 3/10 goes into 1/2 one and two-thirds times. That also happens to be the only model with the correct result.

  1/2 ÷ 3/10 = 5/10 ÷ 3/10 = 5/3 = 1 2/3

What value of x makes the equation true?
3(4x-5)-4x+1=-6
Please show work

Answers

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3(4x - 5) - 4x + 1 = -6

Step 2: Solve for x

Distribute 3:                    12x - 15 - 4x + 1 = -6Combine like terms:       8x - 14 = -6Isolate x term:                 8x = 8Isolate x:                          x = 1

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3(4(1) - 5) - 4(1) + 1 = -6Multiply:                               3(4 - 5) - 4 + 1 = -6Subtract:                              3(-1) - 4 + 1 = -6Multiply:                               -3 - 4 + 1 = -6Subtract:                              -7 + 1 = -6Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = 1 is the solution to the equation.

I need to know this ASAP please! What is 2/3x + 1/3x?

Answers

Answer:

x

Step-by-step explanation:

2/3x+1/3x=x

Answer:

1

Step-by-step explanation:

2/3x + 1/3x

2+1/3x

3/3x

=x

one x value is 1

Select the correct answer.
What is the standard form of this complex number?
3i + ( + 2i ) – (3 + 3i)

Answers

Answer:

[tex]\huge\boxed{A.\ -\dfrac{9}{4}+2i}[/tex]

Step-by-step explanation:

The standard form of a complex number:

[tex]z=a+bi\\\\a,\ b\in\mathbb{R}[/tex]

[tex]3i+\left(\dfrac{3}{4}+2i\right)-(3+3i)=3i+\dfrac{3}{4}+2i-3-3i\\\\=\left(\dfrac{3}{4}-3\right)+(3+2-3)i=-2\dfrac{1}{4}+2i=-\dfrac{9}{4}+2i[/tex]

Can someone pleaseeeeeeeeeee solve these for me

Answers

Answer:

16. (See the attachment)

Step-by-step explanation:

None

How to do this question -14=k-4

Answers

Answer: hope this helps .

Step-by-step explanation:

What does this mean? Its REALLY important I get this right.​

Answers

The correct answer is Option A

[△SRT]

Answer:

[tex]\triangle{SRT}[/tex]

Step-by-step explanation:

You can eyeball this question and you can easily see that [tex]\angle{R}=\angle{M}[/tex] and [tex]\angle{S} = \angle{N}[/tex] so then the answer would be [tex]\triangle{SRT}[/tex]

5. Which expression is equivalent to x2 - 17 x - 60?

Answers

15x-60
this is the answer

simplify the expression 3 √ 2 - 5 √ 18​

Answers

−12√2
(mark brainliest if correct plss)

Candice is playing an online trivia game. She has 75 points and earns 3 points for each correct answer. She will advance to the next round if her score is over 90 points which statement best describes how antibiotics are used?a75x + 3 > 90 b3x + 90 90 d3x + 75 < 90

Answers

Using a linear function, the statement that best describes when she advances to the next phase is: 75 + 3x > 90.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering that she already has 75 points, and earns 3 points for each correct answer, her score is modeled by the following function:

T = 75 + 3x.

She advances to the next phase if she scores over 90 points, hence the statement is:

T > 90

75 + 3x > 90.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

c.3x+75>90

Step-by-step explanation:

Ruby’s homework covers multiplication with the powers of 10 the first question on her homework is 82.6 x 10 to the power of 2 what is the value of expression?

Answers

Answer:

826

Step-by-step explanation:

82.6 x 10 to the power of 2 :

8.26 * 10^2

8.26 * (10 * 10)

8.26 * (100)

= 826

What is the rate of change of the following equation? y = -5/3x

Answers

Answer: -5/3

Step-by-step explanation:

In an equation y = mx + b, m is the value of the slope. The slope is the same as the rate of change. In this case, m = -5/3, thus the rate of change is -5/3.

Identify the initial amount and the growth rate of the following:
Y = 9.8 (1.35)^t

Answers

Assuming t is a time unit.
The initial amount is when t = 0, so it is 9.8 * 1 = 9.8. The growth rate is how much the amount goes up by for every increase of 1 in t. This is 1.35 because that is the part being affected by t. we plug in 0 for t to get 9.8 as the initial amount. The growth rate is just 135% factor, or 35% more each time, because 1.35 is the base of the exponent.

A book contains 120 pages and each page 35 lines how many pages will the book contains if every page has 24 lines

Answers

Answer:

If there will be 24 lines on all pages, there will be 175 pages in the book

Step-by-step explanation:

First we have to find out how much lines does the book have in total, so we multiply the number of pages by the number of lines on the page. So we get.....

120 x 35 = 4200

Now in order to find out how much pages will the book have when a page will have 14 lines we divide the number of lines by 24 and we get......

4200 / 24 = 175

I need help thank you.

Answers

Answer:

x ≤ 1

Step-by-step explanation:

The graph goes in the left direction, meaning the inequality needs to be less than.

The point is at the point positive 1 and has a shaded dot, meaning the inequality needs to be less than or equal to 1.

Answer:

B

Step-by-step explanation:

x ≤ 1

As thee circle at 1 is filled,you have to include 1 also

Please hurry
In the figure, △EBA ≅ △EDC.

Triangles EBA and EDC are connected at point E. Angles A B E and E C D are right angles. Angle A E B and D E C are congruent. Sides B E and E D are congruent.

Because CPCTC, which relationships are true?
Check all that apply.

Answers

Answer:

AE ≅ CE

∠BAE ≅ ∠DCE

Step-by-step explanation:

In the figure, △EBA ≅ △EDC.

Triangles E B A and E D C are connected at point E. Angles A B E and E C D are right angles. Angle A E B and D E C are congruent. Sides B E and E D are congruent.

Because CPCTC, which relationships are true?

Check all that apply.

AE ≅ CE

∠BAE ≅ ∠DCE

∠CDE ≅ ∠BAE

AB ≅ BE

AC ≅ BD

EDGE2020

The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles is equal and they can be superimposed.

In the given information, △EBA ≅ △EDC.

Given that the Triangles EBA and EDC are connected at point E.

Also Angles A B E and E C D are right angles.

And Angle A E B and D E C are congruent.

The Sides B E and E D are congruent.

Hence,

AE ≅ CE

∠BAE ≅ ∠DCE

∠CDE ≅ ∠BAE

Now AB ≅ BE

AC ≅ BD

The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ2

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