two triangles are similar, and the ratio of the corresponding sides is 1:5, and which of the following is true?

a. Their corresponding sides are congruent.

b. Their corresponding angles are in a ratio of 1:5

c. Their areas have a ratio of 1:5.

d. their perimeters are in a ratio of 1:5

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

Answer:

d. their perimeters are in a ratio of 1:5

Explaination

A is untrue because the sides have the ratio of 1:5, explained in the quastion, so they are not equal/congruent.

B is untrue because the angles are the same in both triangles because the triangles are similar, mentioned in the question.

C is untrue because the ratio of area is squared to the ratio of the perimeter, so the actual areas would be 1:25.


Related Questions

Here is parallelogram ABCD:
Prove segment is AM congruent to segment CM.
Plz help me it’s due today

Answers

The proof of AM being congruent to CM is as follows:

Given that,

ABCD is the ║gm

Diagonals AC and BD with M as the intersection point.

To prove:

AM ≅ CM

Proof:

In ΔAMD and ΔBMC,

∠M = ∠M                   (∵ Common)

AD = BC                       (∵ opposite sides of ║gm are equal)

∠ADM = ∠CBM           (∵ Alternate angle)

∵ ΔAMD ≅ ΔBMC

Thus, AM ≅ CM      (using AAS property).

Learn more about 'Parallelogram' here:

brainly.com/question/1563728

Someone help
What is 3.5=12s-55

Answers

Answer:

4.875 = s

Step-by-step explanation:

3.5=12s-55

Add 55 to each side

3.5+55=12s-55+55

58.5 = 12s

Divide each side by 12

58.5/12 = 12s/12

4.875 = s

Answer:

s = 4.875

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

3.5 = 12s - 55

Step 2: Solve for s

Add 55 to both sides:                    58.5 = 12sDivide 12 on both sides:                4.875 = sRewrite:                                           s = 4.875

Step 3: Check

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

Substitute in s:                    3.5 = 12(4.875) - 55Multiply:                               3.5 = 58.5 - 55Subtract:                              3.5 = 3.5

Here we see that 3.5 does indeed equal 3.5.

∴ s = 4.875 is a solution of the equation.

(−0.25x + 6) + (7.5x + 6.4)

Answers

Answer:

(−0.25x + 6) + (7.5x + 6.4)= (7.25x+12.4)=19.65

Step-by-step explanation:

19.65 is the answer

If you need the simplified equation it is the following;

7.25x + 12.4

Calvin Butterball earns $400 working at the supermarket to help pay his share of a vacation trip with Phoebe Small's family. To supplement his earnings, Calvin's mother will give him an additional 20% of what he earns and his father will give him an additional 30% of what he earns. a. How much will he get from each parent?

Answers

Answer:

Mother = $80

Father = $120

Step-by-step explanation:

Given that :

Earning = $400

Amount gotten from mother = 20% of earning

Amount gotten from father = 30% of earning

Amount gotten from each parent :

MOTHER :

0.2 * $400 = $80

FATHER :

0.3 * $400 = $120

Ryan is choosing between two exercise routines. In Routine #1, he burns 22 calories walking. He then runs at a rate that burns 10.5 calories per minute. In Routine #2, he burns 39 calories walking. He then runs at a rate that burns 6.25 calories per minute.

Answers

Complete question :

Ryan is choosing between two exercise routines. In Routine #1, he burns 22 calories walking. He then runs at a rate that burns 10.5 calories per minute. In Routine #2, he burns 39 calories walking. He then runs at a rate that burns 6.25 calories per minute. For what amounts of time spent running will Routine #1 burn at most as many calories as Routine #2?

Answer:

4 minutes

Step-by-step explanation:

Given the following exercise routines :

Routine #1,

Walking : burns 22 calories walking. He then running : burns 10.5 calories per minute.

Routine #2,

Walking : burns 39 calories walking. He then running : burns 6.25 calories per minute.

Let number of tone spent running = t

Hence,

Routine 1 ; calories burned

22 + 10.5t

Routine 2 ; calories burned

39 + 6.25t

Equating the two equations :

22 + 10.5t = 39 + 6.25t

10.5t - 6.25t = 39 - 22

4.25t = 17

t = 17/4.25

t = 4

Complete the sentence (20 points) marking correct answer brainliest

Answers

Answer:

Answers to questions:

1. MP and MQ2. PQ3. PM4. PN and NM5. ∠NQM and ∠NMQ

Answer:

1. MP and MQ

2. PQ

3. PM

4. PN and NM

5. ∠NQM and ∠NMQ

Step-by-step explanation:

If you see and use the congruent lines on the triangle, and look at the givens, then you can work this answer out yourself

a required question
A is the midpoint of BC. C is the midpoint of AD. E is the midpoint of CD. If CE =
3ft, how long is BD?

Answers

Answer:

18ft

Step-by-step explanation:

AC = CD = BA

CD = 2CE

BD = BA + AC + CD = 2CE + 2CE + 2CE

= 6CE

CE = 3

6 × 3 = 18

a $260 suit price is marked down 10 % find the sale price

Answers

Answer:

260*0.90=sales price=234

Step-by-step explanation:

Step-by-step explanation: We first need to find the discount.

The formula for discount is shown below.

Original Price × Rate of Discount = Discount

So here, the original price is $260 and the

rate of discount is 10% off which we can write as .10.

So we multiply 260 by .20

260 x .10 gives us 26.

So the discount is $26.

Now let's find the sale price.

The formula for sale price is shown below.

Original Price - Discount = Sale Price

Since the original price is $260 ad the discount is $26,

we have 260 - 26 which gives us 234.

So the sale price of the suit is $234.

An individual is baking 3 batches of cookies. They used 2.6 oz. of vanilla in one batch of the cookies, 1.4 oz. of vanilla in the second batch and .5 oz. in the third batch. Please convert these decimals into fractions and then put them in ascending order.​

Answers

Answer:

2 3/5, 1 2/5, 1/2

Step-by-step explanation:

batch 1 2.6= 2 3/5

batch 2 1.4= 1 2/5

batch 3 0.5= 1/2

What is the answer to y=-2/3x0+1

Answers

Answer:

1 is the answer to this question

Which equation shows the relationship between days (d) and weeks (w)? *

Answers

Answer:

I think it is w=7d

Step-by-step explanation:

A store sells a pair of Wireless Beats Studio headphones for $350. If you have $150 and are selling candy bars for $3 each, how many candy bars must you sell in order to save enough money for the headphones? PLEASE HELP

Answers

Answer:

67 candy bars

Step-by-step explanation:

Given

Initial amount = $150Cost of candy bars = $3Amount required = $350Number of candy bars = x

Required equation

3x + 150 = 3503x = 200x = 200/3x ≈ 67

Concepts:

Finding X

Answer: 67 candy bars

Initial amount = $150Cost of candy bars = $3Amount required = $350Number of candy bars = unknown

3x + 150 = 350

3x ≈ 200

x = 200/3

x ≈ 67

PLEASE HELP MEE !!

Marcus made $500 working a 40 hour shift last week. He also runs a side business selling t-shirts for $12 each. How much money will Marcus have earned if he saves the $500 from last week, works another shift of 30 hours this week, and sells 22 t-shirts online?

Marcus will have a total of ____ dollars saved.

Answers

Answer:

764

Step-by-step explanation:

12x22=264+500=764

hope this helps

Gregory has 52 angelfish and 24 cichlid fish in his aquarium. Unfortunately, many of his fish got a sickness called "ick". 1/4 of the angelfish became sick 1/3
of the cichlid fish became sick
How many fish from Gregory's aquarium became sick?

Answers

Answer:

21 fish

Step-by-step explanation:

52/4=13

24/3=8

13+8=21

product and quotient rule ,differentiate each function with respect to x, in calculus
y = (-4x^5+4) * 5x^⁵

Answers

Answer:

[tex]\displaystyle y' = -100x^4(2x^5 - 1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/CoefficientsFactoringFunctionsFunction Notation

Calculus

Derivatives

Derivative Notation

Derivative Property [Multiplied Constant]:                                                              [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                            [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                                [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = (-4x^5 + 4)5x^5[/tex]

Step 2: Differentiate

Product Rule:                                                                                                    [tex]\displaystyle y' = \frac{d}{dx}[(-4x^5 + 4)]5x^5 + (-4x^5 + 4)\frac{d}{dx}[5x^5][/tex]Basic Power Rule [Derivative Property - Addition/Subtraction]:                   [tex]\displaystyle y' = (5 \cdot -4x^{5 - 1} + 0)5x^5 + (-4x^5 + 4)(5 \cdot 5x^{5 - 1})[/tex]Simplify:                                                                                                             [tex]\displaystyle y' = (-20x^4)5x^5 + (-4x^5 + 4)(25x^4)[/tex]Factor:                                                                                                               [tex]\displaystyle y' = 5x^4 \bigg[ (-20x^4)x + (-4x^5 + 4)5 \bigg][/tex][Distributive Property] Distributive parenthesis:                                            [tex]\displaystyle y' = 5x^4 \bigg[ -20x^5 - 20x^5 + 20 \bigg][/tex]Combine like terms:                                                                                         [tex]\displaystyle y' = 5x^4(-40x^5 + 20)[/tex]Factor:                                                                                                               [tex]\displaystyle y' = -100x^4(2x^5 - 1)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Solve for p 6p-8n=12

Answers

Answer:

i need more information

Step-by-step explanation:

P=2+4n/3 is the correct answer to the question.

Rachel saved money to buy art supplies. She used 13 of her savings to buy brushes. She used 35 of her savings to buy paint. What fraction of her savings does she have remaining?

Answers

Given:

Rachel used [tex]\dfrac{1}{3}[/tex] of her savings to buy brushes.

She used [tex]\dfrac{3}{5}[/tex] of her savings to buy paint.

To find:

The fraction for remaining savings.

Solution:

Fraction that Rachel used of her savings to buy brushes and paint is

[tex]\text{Fraction for used amount}=\dfrac{1}{3}+\dfrac{3}{5}[/tex]

                                    [tex]=\dfrac{5+9}{15}[/tex]

                                    [tex]=\dfrac{14}{15}[/tex]

Now,

[tex]\text{Fraction for remaining savings}=1-\text{Fraction for used amount}[/tex]

[tex]\text{Fraction for remaining savings}=1-\dfrac{14}{15}[/tex]

[tex]\text{Fraction for remaining savings}=\dfrac{1}{15}[/tex]

Therefore, [tex]\dfrac{1}{15}[/tex] of her savings is remaining.

A.4 trash bins
B.12 trash bins
C.20 trash bins
D. 64 trash bins

I NEED HELP PLEASE ):

Answers

Answer:

D. 64 trash cans

Step-by-step explanation:

The answer is D. because 1 * 16 = 16 so 4 * 16 = 64 trash cans.

Answer:

probably 64

think of 16=1

and 64 ÷ 16 is 4

help, I've been stuck on this and I need help asap​

Answers

Which one the on number 1 ?
Its taking away 45 for each month just do that ten times :)

A line passes through the point (8,4) and is parallel to 9x + 3y=12 . What is the equation of the line?

Answers

The answer is y= -3x+ 28
To find the slope of the original line and use the point slope formula y-y^1 =m(x-x^1) to find the parallel to 9x +3y=12

2x + 7 + 5x = 7 ( x + 8) how many solutions?

Answers

Answer:

no solution

Step-by-step explanation:

You can buy 3 apples at the quick market for $1.35. You can buy 5 of the same apples at stop and save for $1.00. Which place is the better buy

Answers

At the stop and save is better
Stop and save, :))))

Rachel shared 50 peanuts equally among his 4 sisters. How many peanuts did Rachel have left after he gave his sisters their share?

Answers

If he shared it with the five of them, that means you have to do 50/5. This gives you 10.

Your answer is 10 peanuts.

Answer:

This the best I got. Hope it helps! ( found a faster way to backspace when ur typing lol) (ctrl+backspace)

Step-by-step explanation:

50 divided by 4

50/4

= 13.

Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions? When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42. When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60. When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39. ITS NOT 30 I TOOK THE TEST

Answers

Answer:

a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.

b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.

Step-by-step explanation:

Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?

Mathematically this is expressed as:

4(x + 3) + 2x = 6(x + 2)

Verifying the options

a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.

When x = 3

4(x + 3) + 2x = 6(x + 2)

4(3 + 3) + 2(3)= 6(3 + 2)

24 + 6 = 6(5)

30 = 30

When x = 5

4(x + 3) + 2x = 6(x + 2)

4(5 + 3) + 2(5)= 6(5 + 2)

4(8) + 10 = 6(7)

42 = 42

Statement in option a is correct

b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.

When x = 1

4(1 + 3) + 2x = 6(x + 2)

4(1 + 3) + 2(1)= 6(1 + 2)

4(4) + 2 = 6(3)

18 = 18

When x = 8

4(8 + 3) + 2x = 6(8 + 2)

4(11) + 2(8)= 6(8 + 2)

44 + 16 = 6(10)

60 = 60

Statement in option b is correct

c) When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39.

When x = 2

4(x + 3) + 2x = 6(x + 2)

4( 2 + 3) + 2(2)= 6(2 + 2)

4(5)+ 4 = 6(4)

20 + 4 = 6(4)

24 = 24

4(x + 3) + 2x = 6(x + 2)

4(6 + 3) + 2(6)= 6(6 + 2)

4(9) + 12 = 6(8)

48 = 48

Statement in Option c is wrong

Hence, Statement in Option a and b is correct

Answer:

C

Step-by-step explanation:

Can anyone help with this question? Ty

Answers

Answer:

c

Step-by-step explanation:

how does

h(x)=-(x-3)^2+4

compare to the graph

g(x)=x^2

Answers

Top equation opens down and the second opens up

Find the slope of the line through the points (13, 15) and (13, 19). Then find the slope of the line parallel and the line perpendicular.

Answers

Answer:

We must find the slope of the original line using slope formula*.

[tex]m = \frac{19 - 15}{13 - 13} = \frac{5}{0} = 0[/tex]

Because the given points have the same x-coordinate, the slope is 0.

Given that the original line doesn't have slope, the other two lines won't have one either.

The sum of Hunter and Samantha's ages is 50. Samantha is 14 years older than Hunter. Enter Hunter's age. I WILL give brainliest

Answers

Answer:

samatha is 32 hunter is 18

Step-by-step explanation:

trial and error

What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n? (1 point)

n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3

Answers


it would be n = 1/2

Answer:

n = 1/2

Step-by-step explanation:

Brainliest?!

How do you factor 5x+10y+30z

Answers

Answer:

5(x+2y+6z)

Step-by-step explanation:

Answer:

5(x+2y+6z)

Step-by-step explanation:

Factor out 5 from the expression

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