Given ∆ABC≅∆DEF, m∠A=5x+12 and m∠D=8x, find m∠A and m∠D.

Answers

Answer 1

Given :

Two triangle ∆ABC and ∆DEF are congruent.

m∠A=5x+12 and m∠D=8x.

To Find :

m∠A and m∠D.

Solution :

Since, both the triangle are congruent.

m∠A = m∠D

5x + 12 = 8x

3x = 12

x = 4

m∠A = 5(4) + 12 = 32°

m∠D = 8(4) = 32°

Therefore, value of m∠A and m∠D is 32°.


Related Questions

Help me with number 1 please help ASAP
Pleaseee I’ll mark you as brainlister

Answers

Answer:

I can't really see the question but the answer to the very first question on the page is <E is congruent to <H

Step-by-step explanation:

I wanna say D and G

Solve for x, rounding to the nearest hundredth. 3^x = 78

Answers

Answer:

3.97

Step-by-step explanation:

Answer:

3.97

Step-by-step explanation:

3^x=78

xln3=ln78

x=ln(78)/ln(3)

x=3.96564727304

x=3.97

The highest and lowest recorded temperatures for the state of Texas are 109°F and -21°F. Find
the difference in these extreme temperatures.

Answers

Answer:

130

Step-by-step explanation:

Which of the following expressions is equivalent to the expression x - (-3) ?

-3x
x + (-3)
x - 3
x + 3

Answers

D.
X+3
I attached a picture

help cajkdbnckjazdnbhbnbnjkmbnj,m

Answers

Answer:

the opposite of the absolute value of -8 is 8

Step-by-step explanation:

It’s going to beeeeeeee 8


what are the signs of the coordinates (x,y) of point k? pls help

Answers

Answer:

(-3,2)

Step-by-step explanation:

look at the dot called K, straight down you see -3 which is your X and if you look straight to the right of point K you see 2 which is your Y

(the whole bolded line that is horizontal is ur X and the whole bolded vertical line is ur Y)

PLEASE HELP ME WITh THIS ONE I WIL PUT BRAINLeST


This equation shows how the total amount of paper Shelby's office has recycled depends on the number of weeks since they started the new recycling plan. p = w + 14. The variable w represents the number of weeks the office has been on the new recycling plan, and the variable p represents the total kilograms of paper recycled. How many weeks will it take Shelby's office to recycle a total of 16 kilograms of paper?

Answers

Answer: 2 weeks

Explanation: Since we know that p represents the amount of paper recycled, we can write the new equation as 16=w+14. When you solve that equation you get an answer of 2=w

how do I solve this

Answers

Answer:

Step-by-step explanation:

Rewrite this as -m divided by 4 - 2 = 3

Add the two to 3 to get 5

Multiply 5 by 4 to get 20

m = -20

Which equation represents the vertical line shown on the graph?
A. x-4= 0
B. x +4=0
y-4=0
OD. y+ 4 = 0

Answers

Answer:

It's A

Step-by-step explanation:

It's a

Answer:aa

Step-by-step explanation:

A

11x26
49x12
12x25

Thanks for helping me!

Answers

286
588
300
:) your welcome

Answer:

1. 286

2. 588

3.300

the bill came to $136.40 The patrons decided to leave a 15% tip what was the total bill including the tip

Answers

Answer:

$156.86

Step-by-step explanation:

Total = bill + tip

136.40 + 0.15*136.40 =136.40 + 20.46 = 156.86

A 40 of foxes in a wildlife preserve quadruples in size every 13 years. The function y=40•4^4, where x is the number of 13-year period, models the population growth. How many foxes will there be after 26 years

Answers

Answer:

640 foxes

Step-by-step explanation:

The actual formula is [tex]y = 40 * 4^{x}[/tex]

Now that we have the real formula we would need to find out how many 13 year periods exist in the 26 years that are being used in the question. We calculate this by simply dividing 26 by 13.

26 / 13 = 2 periods

Therefore, now that we know there are 2 periods of 13 years in the 26-year span, we plug this value into the formula and solve for y...

[tex]y = 40 * 4^{x}[/tex]

[tex]y = 40 * 4^{2}[/tex]

[tex]y = 40 * 16[/tex]

[tex]y = 640[/tex]

Finally, we can see that there should be 640 foxes after 26 years.

will mark brainliest // help me please

Answers

Answer:

Step-by-step explanation:

She starts with $750.

Convert the percent to a decimal.

0.0015

Multiply.

0.0015 * 365

$1160.63

Help me please!!!!!!!

Answers

Answer:

you need to find out how many miles per hour irst then see how many itll be in 24 hours

Step-by-step explanation:

Answer:

D = 6.2t, where t is in hours

Now, solve for 24 hours for t.

D = 6.2(24) = 148.8 miles in 24 hours.

Step-by-step explanation:

First, find out how far the butterfly can fly in 1 hour.

93 miles / 15 hours = 6.2 miles per hour

Let D = the distance in miles the butterfly can fly in t hours.

Your equation will be

D = 6.2t, where t is in hours.

Hi. I need help with these questions.
See image for question.

Answers

Step-by-step explanation:

Given

f(x) = 4x³ + 3x² - 2x - 1

Divide it by the following:

(a) 2x + 1

4x³ + 3x² - 2x - 1 =(4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =(2x + 1)(2x² + 1/2x - 5/4) + 1/4

Quotient =  2x² + 1/2x - 5/4

Remainder = 1/4

(b) 2x - 3

4x³ + 3x² - 2x - 1 = (4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 = (2x -3)(2x² + 4.5x + 5.75) + 16.25

Quotient = 2x² + 4.5x + 5.75

Remainder = 16.25

(c) 4x - 1

4x³ + 3x² - 2x - 1 = (4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =(4x - 1)(x² + x - 1/2) - 3/2

Quotient = x² + x - 1/2

Remainder = - 3/2

(d) x + 2

4x³ + 3x² - 2x - 1 = (4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =(x + 2)(4x² - 5x + 8) - 17

Quotient = 4x² - 5x + 8

Remainder = - 17

Step-by-step explanation:

Given

f(x) = 4x³ + 3x² - 2x - 1

Divide it by the following:

(a) 2x + 1

4x³ + 3x² - 2x - 1 =

(4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =

2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =

(2x + 1)(2x² + 1/2x - 5/4) + 1/4

Quotient =  2x² + 1/2x - 5/4

Remainder = 1/4

(b) 2x - 3

4x³ + 3x² - 2x - 1 =

(4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =

(2x -3)(2x² + 4.5x + 5.75) + 16.25

Quotient = 2x² + 4.5x + 5.75

Remainder = 16.25

(c) 4x - 1

4x³ + 3x² - 2x - 1 =

(4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =

(4x - 1)(x² + x - 1/2) - 3/2

Quotient = x² + x - 1/2

Remainder = - 3/2

(d) x + 2

4x³ + 3x² - 2x - 1 =

(4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =

(x + 2)(4x² - 5x + 8) - 17

Quotient = 4x² - 5x + 8

Remainder = - 17

please answer quick. Audi's average speed is 232 kilometers per hour. Complete the table. Hours Km

Answers

Charlidamelio is overrated
Charliedmelio is overreacted

Choose the correct answer to 5825 61.
A 95 R 20
B 95 R30
C 96
D 95

Answers

Answer:

C

Step-by-step explanation:

C. Sjsjsjsmamksjsjshahahsbhaj

examine the graph below. select the solutions to the graph from the following points. select three that apply.

Answers

Answer:

Options (1), (2), (3)

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

Given line on the graph is passing through two points (-3, 0) and (0, 1).

Slope of this line will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   = [tex]\frac{1-0}{0+3}[/tex]

   = [tex]\frac{1}{3}[/tex]

y-intercept of the line 'b' = 1

Equation of the line will be,

y = [tex]\frac{1}{3}x+1[/tex]

If the points given in the options satisfy the equation, they will be the solution of the line.

Option (1),

For (3, 2),

2 = [tex]\frac{3}{3}+1[/tex]

2 = 2

True.

(3, 2) is the solution.

Option (2)

For (21, 8),

8 = [tex]\frac{21}{3}+1[/tex]

8 = 8

True.

(21, 8) is the solution.

Option(3)

For (-15, -4),

-4 = [tex]\frac{-15}{3}+1[/tex]

-4 = -4

True.

(-15, -4) is the solution.

Option (4)

For (12, 9)

9 = [tex]\frac{12}{3}+1[/tex]

9 = 5

False

(12, 9) is not the solution.

Option (5)

For (-6, 1)

1 = [tex]\frac{-6}{3}+1[/tex]

1 = -1

False

(-6, 1) is not the solution.

Therefore, Options (1), (2), (3) are the solutions.

7(r+3) -8(3 y + 5) =

Answers

Answer:

7r-24y-19

Step-by-step explanation:

Distribute

7r+21 -8(3y+5)

7r+21 -24y-40

rearrange terms

7r-19-24y

7r-24y-19

Answer:

7r-24y-19

Step-by-step explanation:

HOPE I HELPED

Office Depot prints black and white or colored copies.Yesterday,they printed 9 black and white copies for every 2 colored copies if they print 200 color copies how many black and white copies were printed?

Answers

Answer:

900 black and white copies were printed.

Step-by-step explanation:

From the information provided, you know that they printed 9 black and white copies for every 2 colored copies and you can use a rule of three to find the amount of black and white copies that were printed if they printed 200 color copies:

9 black and white → 2 colored

             x               ← 200 colored

x=(9*200)/2=900

According to this, the answer is that 900 black and white copies were printed.

A square of side x is cut out of a larger square of side y. What is the area of the remaining
figure?​

Answers

Answer:

The area of the remaining figure is [tex]y^2-x^2[/tex]

Step-by-step explanation:

Area of the Square Shape

Given a square of side length x, the area is calculated by the formula:

[tex]A_x=x^2[/tex]

It's given a square of side x is cut out of a larger square of side y. Please refer to the image below.

The area of the square of side length y is:

[tex]A_y=y^2[/tex]

The shaded area of the remaining figure is the difference between both areas:

[tex]A=A_y-A_x[/tex]

[tex]A=y^2-x^2[/tex]

The area of the remaining figure is [tex]\mathbf{y^2-x^2}[/tex]

A boat traveled 126 miles downstream and back. The trip downstream took 6 hours. The trip back took 42 hours. What is the speed of the boat in still water? What is the speed of the current?

Answers

Answer:

The answer is

Speed of the boat in still water= 12mph

Speed of current= 9mph

Step-by-step explanation:

let x= speed of the boat in still water

let y= speed of current

DATA WE HAVE

with current  

rate- x+y        

time- 6 hours

distance- 126 miles

rate= 126/6= 21

against current

rate- x-y

time- 42hr

distance- 126 miles

126/42= 3

Now, we add these two equations vertically.

x-y=3

+

x+y=21            

2x = 24

Now we divide each side by 2

2x/2   24/2

x= 12

The speed of the boat in still water is 12mph

NOW WE HAVE HALF OF THE ANSWER

if x+y= 21

then

12+y=21

subtract 12 from both sides

y=9

The speed of the current is 9mph

Checking)

12+9=?21

21=21

12-9=?3

3=3

I hope this helped! If you have any questions, dm me on insta celinesaydawi

The speed of the boat in still water is 6 mph, and the speed of the current is 4.5 mph.

Given that a boat traveled 126 miles downstream and back, and the trip downstream took 6 hours, while the trip back took 42 hours, to determine what is the speed of the boat in still water and what is the speed of the current, the following calculations must be performed:

(126/2) / 6 = 10.5 mph downstream (126/2) / 42 = 1.5 mph against current (10.5 - 1.5) / 2 = 4.5 mph (current speed) 10.5 - 4.5 = 6 1.5 + 4.5 = 6 6 mph = speed of the boat in still water

Therefore, the speed of the boat in still water is 6 mph, and the speed of the current is 4.5 mph.

Learn more in https://brainly.com/question/17579081

Which set or sets does the number 15 belong to?

A. whole numbers only
B. rational numbers only
C. integers and rational numbers only
D. whole numbers, integers, and rational numbers

Answers

Answer:

D. whole numbers, integers, and rational numbers

hope it helps

Please help me on how to solve it please 60 points!

Answers

Answer:

C. x⁶y⁴/xy²

Step-by-step explanation:

Rearrange (x²y)(x⁴y³) to get

(x²x⁴)(yy³)

When multiplying numbers with exponents with the same base, you add the exponents.

So the equation above can be simplified even further to:

(x²⁺⁴)(y¹⁺³)     --- (those are plus signs in between the exponents)

Simplify to

x⁶y⁴

Now you have the top of the equation simplified

so the answer is c

Hope this helps! (would appreciate brainliest; trying to get to next rank)

have a nice day!

The stopping distance (s) of a truck varies directly as the square of its speed (v). If a truck travelling at 50 mph requires 200 feet to stop, find the stopping distance for a truck travelling at 65 mph.

Answers

Answer:

The distance is 338ft

Step-by-step explanation:

Given

Represent distance with s and velocity with v:

When

[tex]s = 200\ ft[/tex]

[tex]v = 50mph[/tex]

Required

Determine the distance when velocity is 65mph

From the question, we understand that:

[tex]s\ \alpha\ v^2[/tex]

Convert to equation

[tex]s\ = kv^2[/tex]

Substitute 200 for s and 50 for v

[tex]200 = k * 50^2[/tex]

[tex]200 = k * 2500[/tex]

Make k the subject:

[tex]k = \frac{200}{2500}[/tex]

[tex]k = \frac{2}{25}[/tex]

To get s when v = 65.

Substitute 65 for v and 2/25 for k in [tex]s\ = kv^2[/tex]

[tex]s = \frac{2}{25} * 65^2[/tex]

[tex]s = \frac{2}{25} * 4225[/tex]

[tex]s = \frac{8450}{25}[/tex]

[tex]s = 338\\[/tex]

Hence, the distance is 338ft

Billy worked 36 hours at $11.00 per hour. Johnny worked 40 hours at $12.00 per hour. How much more did Johnny earn than Billy earned?

Answers

Step-by-step explanation:

Billy= 36x11=396

Johnny= 40x12=480

480-396=84

Johnny earned 84 more

Answer:

The answer is that Johnny has $84 more than Billy

Step-by-step explanation:

The math is correct, promise!!!

what is the answer for -16x = 80

Answers

Answer:

X= 96

Step-by-step explanation:

Because...

-16x=80

X= 80+16

X= 96

Hope this helped

The correct answer is x=-5.

To solve this, divide -16 on both sides of the equation to isolate the variable, x. 80/-16 is equal to -5 because a positive divided by a negative is equal to a negative.

Hope this helps ;)

You read the first 20 pages of a book in 25 minutes. You read 36 pages in 45 minutes. Is the number of pages read
proportional to your time?

(i’ll give brainliest to best answer)

Answers

Answer:

proportional

Step-by-step explanation:

20 : 25 :: 36 : 45

Product of means = 25*36 = 900

Product of extremes = 20 * 45 = 900

Product of means = Product of extremes

So, the number of pages read  is proportional to your time

The answer is proportional.
Sorry if I took long to answer

Help a little friend out? :)

Answers

ok first off ur not my little friend lol and ur answer should be 996.31 sorry if its wrong i tried <3

The ratio of water and milk in a mixture is 2:3, what percent of water is mixed in the mixture?

Answers

40% water 60% milk

reason:
if you make then go to 100 by multiplying 2:3 by 2 you get 4:6 and then add a 0 at the end and there’s your answer

Answer:

Step-by-step explanation:

2:3 meaning there's 5 parts

40%water  and 60% milk

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