Given: AACD is isosceles with angle D as the vertex angle. B is the midpoint of AC. AB= x + 5, BC= 2x - 3, and CD = 2x + 6. Find the perimeter of ∆ACD.​

Answers

Answer 1

Answer:

70 units

Step-by-step explanation:

Given triangle ACD

AB = BCCD = 2x + 6AB = x + 5BC = 2x - 3P = ?

Perimeter is sum of the side lengths:

P = AD + CD + AC

AD = CD because D is vertex and the triangle is isosceles

AC = AB + BC because B is midpoint of AC

Then P is:

P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14

Find the value of x from the AB = BC:

x + 5 = 2x - 32x - x = 5 + 3x = 8

Then find the value of P:

P = 7*8 + 14 = 56 + 14 = 70 units


Related Questions

Skyla wants to buy a massage table to start her spa business. She sees one she wants for $1,200. If she can save $13 a week, how many weeks will it take her to save up for the massage table?​

Answers

Answer:

27 because you have to multipli and then divide

Answer:

about 93 weeks

Step-by-step explanation:

divide 1200 by 13 to get your answer which is 92.3076923077 so then you just instead of rounding to 92 you would round to 93 because it would take her more then 92 weeks so the answer would be about 93 weeks

How do I do this/solve help me if you know it!

Answers

Answer:

it should be B, sorry if im wrong! :(

Step-by-step explanation:

Can somebody please help me with these pleaseeeee!

Answers

First one is 360-(74+84+100)=102
Second one is 180-(120+24)= 36

HELP ASAP
The blue triangle is dilated to the red triangle from the
dilation point of (0,0). What is the zoom factor?
Submit and Explain
15

Answers

Answer: Scale Factor = 3

Step-by-step explanation:

The top side of the blue triangle is equal to 2 and the top side of the red triangle is equal to 6. Therefore you hav to divide 6 by 2 to give you the scale factor which is 3. (Sorry I do not know if zoom factor is the same as scale factor)

Ivan in inventory has a whole bunch of numbers just sitting around. He wants to build a “Multiples of 2” set in his free time. How can he tell which numbers belong in this set?

Answers

Answer:

If they are divisible by 2

Step-by-step explanation:

:))

like ex.

2 4 6 8 10 12

y = –2x2 + 8x - 3
help :c

Answers

Answer:

8x-7

Step-by-step explanation:

-4+8x-3

8x-4-3

8x-7

Help me please........

Answers

Answer:

(7, -1)

Step-by-step explanation:

Look at vertex R. The x is 7. Q has the same x value as R and same Y value as P.

please help and show work if you can​

Answers

Answer:

38. <1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]

39. <1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]

Step-by-step explanation:

38. Sum of angles in a triangle = [tex]180^{o}[/tex]

So that;

38 + 110 + <2 = [tex]180^{o}[/tex]

148 + <2 = [tex]180^{o}[/tex]

<2 = [tex]180^{o}[/tex] - 148

<2 = [tex]32^{o}[/tex]

Thus,

<1 = [tex]38^{o}[/tex] (alternate angle principle)

<3 = [tex]110^{o}[/tex]

Therefore;

<1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]

39. <2 = [tex]28^{o}[/tex] (alternate angle principle)

So that;

sum of angles in a triangle = [tex]180^{o}[/tex]

<1 + <2 + 81 = [tex]180^{o}[/tex]

<1 + [tex]28^{o}[/tex] + 81 = [tex]180^{o}[/tex]

<1 + 109 = [tex]180^{o}[/tex]

<1 = [tex]180^{o}[/tex] - 109

   = [tex]71^{o}[/tex]

<1 = [tex]71^{o}[/tex]

<3 = [tex]81^{o}[/tex]

<1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]

Write an explicit formula for an, the nth term of the sequence 15, 12,9,....

Answers

Answer:

18-3n

Step-by-step explanation:

18-3(1)=15

18-3(2)=12

etc

etc

answer this. please.

Answers

Answer:

D

Step-by-step explanation:

I would say D because youre trying to find red and blue so green and brown dont matter to the problem. If 12÷6= 2 then. do 60÷2=30 so they can be drawn about 30 times

Could someone good at geometry help me please. I will mark brainliest!! :)

Answers

The angle to the right of 78 is 102 the angle to the left of 102 is 78 the one under the 78 is 102 the one above 78 is 102 the one under the 102 is 78 and the one to the left and down of 78 is 78

Help plz


Sharon and Kay went to a craft show with their
granddaughters. Sharon bought 1 adult ticket and 2
child tickets and spent $28. Kay brought 2 adult tickets
and 3 child tickets and spent $48. Use 'x' to represent
adult tickets and "y" to represent children tickets.

Answers

Assuming x is what your looking for x=48(3)+28

Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t tt, in years, since Bozena started studying the population, and the number of tigers, N ( t ) N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function: N(t)=537⋅(0.35)t2 Complete the following sentence about the rate of change in the tiger population. The population of tigers loses 65 % 65%65, percent of its size every years.

Answers

Answer:

every 2 years

Step-by-step explanation:

since it is t/2 for the exponent - thas the answer on khan

The rate of change in the population of the Siberian tigers loses 65% every two years.

What is an exponent?

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t, in years, since Bozena started studying the population, and the number of tigers, N(t), is modeled by the following function:

[tex]\rm N(t)=537\times (0.35)^{t/2}[/tex]

Then it is clear that the population of the Siberian tigers loses 65% of its size every two years.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

PLS help me

this is for class, if you get it right i will give brainliest

Answers

Answer:

Yes

Step-by-step explanation:

a^2+b^2=c^2

7^2+11^2=c^2

49+121=c^2

170=c^2

then square it

c=13

7,11,13 is a pythagorean triple

Answer:

both answers you have put in are correct

Step-by-step explanation:

7^2=49

11^2=121

121+49=170

square root of 170 is the long side

not a pythagorean triple because square root of 170 does not come out as a whole number (no decimal/fraction)

is it ~13.0384

The graph of y= x^2 +4x +3 is shown
work out a and b please

Answers

Answer:

A.) i think it's (-2, -1)

B.) ?

Step-by-step explanation:

I am very sorry if they are wrong....i don't know B..sorry

Answer:

b = (-1,0) (-3,0)

Step-by-step explanation:

Evaluate x+5 if x=9 please help

Answers

Answer:

14

Step-by-step explanation:

if you plug in 9 for x in the equation x+5, you get 9+5

9+5=14

Answer:

14

Step-by-step explanation:

If it is x+5 and x=9 it is the as

9+5=14

So it would be 14, you just need to plug in the x

Should i write a song and post it?

Answers

Answer:

yesssssssssssssss do itttttttt

Answer:

If you want, thats cool

Step-by-step explanation:

Im kinda curious about the song....

thats a nice day

Real I need help ppplllsss

Answers

Answer:

the answer is a or c help it help it helps

Help please due now!

Answers

Answer:

90

Step-by-step explanation:

x•y-z²

x=9,y=14,z=6

9 • 14 - 6²

126-36=90

How will you remember the slopes of the horizontal and vertical lines?

Answers

Answer:

The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

Step-by-step explanation:

There are 40 animals in Mang Roman's farm.The ratio of cows to carabaos to goats to horses is 4:2:3:1. How many animals of each kind are there in Mang Roman's farm.

Answers

Answer:

there are

16, 8, 12 and 4 different animals

Step-by-step explanation:

Step-by-step explanation:  

Step one:  

given data

Number of Animals = 40

The given ratio is = 4:2:3:1  

The total ratio is = 4+2+3+1= 810

Step two;

Applying the part to all method

The first animal  

4/10=x/40

cross multiply  

10x= 40*4  

divide both sides by 10

x= 160/10

x= 16

for second we have  

2/10=x/40

cross multiply  

10x= 40*2  

divide both sides by 10

x= 80/10

x= 8

for the third  we have

3/10=x/40  

cross multiply  

10x= 40*3  

divide both sides by 10

x= 120/10

x= 12

for the fourth  we have

1/10=x/40  

cross multiply  

10x= 40*1  

divide both sides by 10

x= 40/10

x= 4

It’s algebra 6x -9=y show work

Answers

Answer:

6x - 9 = y

x - (-1.5)

x - (-1.5) = y

Step-by-step explanation:

helppppppppppppp 20 points

Answers

Answer:

4 3/7

Step-by-step explanation:

Divide 31 by 7 to the closest whole number. 28/7 is 4 and you have 3/7 left, so you get 4 3/7

The answer to that is 4 3/7

-9m - 4 = -7m + 6 solve for m

Answers

Answer:

m = -5

Step-by-step explanation:

a. About how much does a textbook weigh? b. About how much does a car weigh? c. About how much does a mosquito weigh? d. About how long is a textbook? e. About how long is a car?

Answers

Answer:

a. About 0.907185 kg to 2.72155 kg

b. About 1857 kg

c. About 0.005 g

d. About 0.75 feet

e. About 15 to 16 feet

Step-by-step explanation:

These are all estimated measurements and may vary across different regions and jurisdictions.

divided 9 by the sum of 2 and 9 Equals (15 pts)
Please Help!!

Answers

Answer:

4.5

Step-by-step explanation:

Answer:

.81818181818

Step-by-step explanation:

9/(2+9)

9/11

.81818181818

The sum of three consecutive odd integers is –87. What are the integers?


A.
–31, –33, –35


B.
–30, –29, –28


C.
–31, –30, –29


D.
–31, –29, –27

Answers

-30 -29 -28 is the correct answer



please help im crying

Answers

Ok I gotcha I’ll let

Answer:

length=91

width=2

Step-by-step explanation:

182/2=91

91*2=182

In his last basketball game, Chris attempted a total of 25 shots and made 18 of them.What is the ratio of how many shots missed and how many shots made?

Answers

Answer:

7:18

Step-by-step explanation:

Chris attempted a total of 25 shots

He made 18 shots

Number of shots missed= 25-18

= 7

Therefore the ratio of shots missed and shots made can be calculated as follows

7:18

Hence the ratio is 7:18

what is 46274648354846374 times 77466​

Answers

3.5847146e+20

:)))))))))))))
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