What is the length of AC?

What Is The Length Of AC?

Answers

Answer 1

Answer:

Step-by-step explanation:

These triangles are similar. That means that the corresponding side lengths exist in proportion to one another.  Namely,

[tex]\frac{DE}{BA}=\frac{CE}{CA}[/tex]

Filling in those values gives us

[tex]\frac{9}{81}=\frac{x}{140-x}[/tex] and cross multiply to solve:

9(140 - x) = 81x and

1260 - 9x = 81x and

1260 = 90x so

x = 14

That means that side length AC is 140 - 14 which is 126. Choice B.

Answer 2

Answer:

126

Option B is the right option.

Solution,

[tex] \frac{140 - x}{x} = \frac{81}{9} \\ or \: \frac{140 - x}{x} = 9 \\ or \: 140 - x = 9x \\ or \: - x - 9x = 140 \\ or \: - 10x = 140 \\ or \: x = \frac{ - 140}{ - 10} \\ x = 14 \\ again \\ ac = 140 - 14 \\ \: \: \: \: \: \: \: = 126[/tex]

hope this helps...

Good luck on your assignment..


Related Questions

can someone help me to find tsa of entire solid ?​

Answers

Step-by-step explanation:

Radius is same in both cones....

Slant height of lower cone = 50 cm ( by applying Pythagorean theorem )

TSA of the lower cone = 22/7 × 14 × ( 14 + 50 )

= 2816 cm^2

Total height of the solid = 52.8 cm

Height of the upper cone = 52.8 - 48 = 4.8 cm

TSA of the upper cone = 22/7 × 14 × ( 14 + 4.8 )

= 827..2 cm^2

TSA of the solid = 2816 + 827.2 = 3643.2 cm^2

Alhondro wants to determine the average shoe size of all of male students in his school

Answers

We need the rest of the question

Which linear inequality is graphed with y > –x – 2 to create the given solution set? y > x + 1 y x – 1 y < x + 1

Answers

Answer:

D

Step-by-step explanation:

I took the test, dont listen to the person above me:)

Answer:

y<x+1

Step-by-step explanation:

Simon makes 30 cakes He gives 1/5 of the cakes to sali He gives 10% of the cake to Jane What fraction of 30 does he have left

Answers

Answer:

7/10 or 0.7 or 70% left.

Step-by-step explanation:

Since he gives 1/5 of the cake to Sali, he gave 1/5 * 30 = 6 cakes away to Sali. Since 10% is 1/10, he gave away 1/10 * 30 = 3 cakes away to Jane. He has a total of 30 - 3 - 6 = 21 cakes left. 21/30 = 7/10, or 0.7, or 70% left.

Answer: 21/30

Explanation this is because 1/5of 30 is 6 and 10 percent of 30 is 3

6+3=9

30-9=21

Therefore Simon has 21/30 cakes left

I hope it helps

The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog Three-fifths milligram of the medicine, which equation relates the weight, w, and the dosage, d? d = StartFraction 1 Over 50 EndFraction w d = three-fifths w d = 18 w d = 50 w

Answers

Answer:

Step-by-step explanation:

A direct variation equation is of the form

y = kx,

where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.

We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is

d = kw and we need to find k in order to have the model for dosing the animals.

[tex]\frac{3}{5} =k(30)[/tex]

Divide both sides by 1/30 to get k alone.

[tex](\frac{1}{30})(\frac{3}{5})=k[/tex] and

[tex]k=\frac{1}{50}[/tex]

Our model then is

[tex]d=\frac{1}{50}w[/tex]

This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.

Answer:

A

Step-by-step explanation:

The perimeters of the square and the regular pentagon are equal. A square with side lengths of 3x + 3. A pentagon with side lengths of x + 8.

Answers

Answer:

60

Step-by-step explanation:

Since the perimeters are equal then:

(3x + 3) * 4 = (x + 8) * 5

12x + 12 = 5x + 40

7x = 28

x =4

Perimeter of square = (3*4 + 3) * 4 =

(12 + 3) * 4 = 60

Perimeter of pentagon = (4 + 8) * 5 =

(12) * 5 = 60

The answer is 60

Marshall evaluates the expression 15.3 - 7.9 and gets an answer of 7.4.
Is this a reasonable answer?

Answers

Answer:

yes

Step-by-step explanation:

15.3-7.9=7.4

Unit Test Review
Active
2
4
5
Six hundred pictures are taken at a photo shoot. Twelve percent of the pictures are black and white. Which equation can be
used to find the number of black and white photos?
600-6 100
12+
62
О
12 x 6 72
100x6600
600-12 50
800-1006
O
600+12 612
O 100+ 12 " 112
g
4:49 PM
6/27/2020

Answers

Answer:

The answer is : 0.12 x 600 = 72 or the equivalent : 600 x 12/100 = 72

Your list of possible answers ended up a bit scrambled for me to identify which one it is.

Step-by-step explanation:

The number of black and white pictures can be obtained by multiplying the total number of pictures taken (600) by the decimal form of 12% = 12/100 = 0.12. That is:

Number of B&W pictures = 0.12 x 600 = 72


An AP has 15 terms and a common
difference of - 3. Find its first and last terms
if its sum is
b 15
d -120
a 120

Answers

Answer:

Step-by-step explanation:

Sum =n/2{2a+(n-1)d

When sum=15 and d=-3

15=15/2{2a+(15-1)-3}

15=7.5{2a+(14)-3}

15=7.5{2a+(-42)}

15=7.5(2a-42)

15=15a-315

15+315=15a

330=15a

a=330/15

=22

a=22

Last term=a+(n-1)d

=22+(15-1)-3

=22+(14)-3

=22-42

= -20

When sum=120

Sum=n/2{2a+(n-1)d

120=15/2{2a+(15-1}-3

120=7.5{2a+(14)-3}

120=7.5{2a+(-42)}

120=7.5(2a-42)

120=15a-315

120+315=15a

435=15a

a=435/15

=29

a=29

Last term=a+(n-1)d

=29+(15-1)-3

=29+(14)-3

=29-42

= -13

When sum= -120

Sum=n/2{2a+(n-1)d

-120=15/2{2a+(15-1)-3

-120=7.5{2a+(14)-3}

-120=7.5{2a+(-42)}

-120=7.5(2a-42)

-120=15a-315

-120+315=15a

195=15a

a=195/15

a=13

Last term=a+(n-1)d

=13+(15-1)-3

=13-42

= -29

1) a × a 2) a × a × a 3) b × b × b × b 4) a × a × b × b 5) a × a × a × b × b 6) a × a × b × a 7) a × b × a × a × b 8) b × a × a × a × b

Answers

Answer:

1) [tex]a^2[/tex]

2) [tex]a^3[/tex]

3) [tex]b^4[/tex]

4) [tex]a^2b^2[/tex]

5) [tex]a^3b^2[/tex]

6) [tex]a^3b[/tex]

7) [tex]a^3b^2[/tex]

8) [tex]a^3b^2[/tex]

Step-by-step explanation:

1) a × a = [tex]a^2[/tex]

2) a × a × a = [tex]a^3[/tex]

3) b × b × b × b = [tex]b^4[/tex]

4) a × a × b × b = [tex]a^2b^2[/tex]

5) a × a × a × b × b = [tex]a^3b^2[/tex]

6) a × a × b × a = [tex]a^3b[/tex]

7) a × b × a × a × b = [tex]a^3b^2[/tex]

8) b × a × a × a × b  = [tex]a^3b^2[/tex]

Answer:

What is the question?

Step-by-step explanation:

Find 310% of 150. a number blank

Answers

Answer:

465

Step-by-step explanation:

Of means multiply

310% * 150

Change to decimal form

3.10 * 150

465

Answer:

465

Step-by-step explanation:

1 percent of 150 is 1.5.

Multiply 1.5 by 310 to 465

Which is the graph of f(x) =
6
5
4
3
3
2
2
2+
2
1
1
3 2 1
1
2
3
4
5
6
-3 -2 -1
1
2
3
4
56
-3 -2 -1
1
3
4 5 6
-3 -2 -1
1
2
4
6

Answers

Answer:

234958

Step-by-step explanation:

used caculator

Answer:

234958

Help me too!!

Correct answer gets marked as Brainliest!!! (A1) is the question

Answers

Answer:

See attached:

Terry is saving up for a bike which costs £403.50 So far he has saved up £265.90 How much more money does he need to be able to get the bike?

Answers

Answer:

Cost of bicycle. £403.50

His present savings. £265.90

Amount required. £137.60

Answer:137.6‬0

Step-by-step explanation:

*Will mark brainliest*

Answers

Answer:

B

Step-by-step explanation:

The cost of 3 cans of pineapple at Superway Store is $2.25, and the cost of 6
cans of the same kind of pineapple is $4.80 at Grocery Giant. Which store
has the better price for the pineapple?

Answers

Answer:

Grocery Giant has the better price for the pineapple.

Step-by-step explanation:

Superway Store

3 cans of pineapple is 2.25

Grocery Giant

6 cans of pineapple is 4.80

Superway Store 6 cans is 2.25 + 2.25 = 4.50

Which means that Superway Store is cheaper by 30 cents

Grocery Giant because it has the better deal

Can somebody help me with this ?? :)

Answers

Answer:

A.

Step-by-step explanation:

We have AC = DF, ∠A =∠D, so

we need AB = DE.

We get SAS congruence.

If the m∠SRW = 85°, what are the measures of ∠VRU and ∠URW?

Answers

Answer:

∠VRU = 80°

∠URW = 15°

Step-by-step explanation:

Given that,

∠TRV = ∠SRW ( vertical opposite angle)

2x + 15 = 85

2x = 70

x = 35

So,

∠VRU = 2x + 10

∠VRU = (2×35) + 10

∠VRU = 70 + 10

∠VRU = 80°

∠URW = 180 - ∠VRU - ∠SRW

∠URW = 180 - 85 - 80

∠URW = 15°

Answer:

80 and 15

Step-by-step explanation:

Cathy used a probability simulator to pull three colored marbles from a bag and flip a coin 50 times. The results are shown in the table below. Using Kathy’s simulation, what is the probability of pulling a blue marble in the coin landing tails up?

Answers

Answer:

blue marble 12/50. tails 20/50

Step-by-step explanation:

12/50×20/50 =240/2500= 12/125 =9.6%

Answer:

12/50

Step-by-step explanation:

the radius of wheel of a bicycle is 40 cm. taking pie =3.14, a)find tthe circumference of the wheel.b) find the distance covered by the bicycle in 200 complete revolution of the wheel.please ans this question. i beg you

Answers

Answer:

a)=251.2 cm    b)=50240 cm

Step-by-step explanation:

a) The formula for calculating the circumference of a circle is c=d*pie, where D is the diameter of the circle.

Therefore, C = 2 * 40 * 3.14 = 251.2 cm

b) The distance covered by 200 revolutions of the wheel is 200 times the circumference, 200*251.2=50240 cm.So to think about this we can assume that there is a point A on the wheel, the distance that point A travels when it rotates 200 times.

Find the quotient of `((5+2i)(6-4i))/((2+i))`, and express it in the simplest form.

Answers

Answer:

4 ²/3

Step-by-step explanation:

( 5+2) ×( 6-4) / ( 2+1 )

= (7)×(2) / 3

= 4 ²/3

How long is 139.5 minutes

Answers

Answer:

[tex]\mathrm{2.325 \: hours}[/tex]

Step-by-step explanation:

[tex]\frac{139.5}{60}=2.325[/tex]

[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]

I need help pls i have to be done by 2

Answers

Answer:

ASA postulate: 1 side, 2 angles equal

Step-by-step explanation:

ASA postulate: 1 side, 2 angles equal

Which statement is true for the numbers 2.5 and -2.5? A. On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point. B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero. C. On the horizontal number line, 2.5 and -2.5 are both located to the right of zero. D. On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.

Answers

Answer:B

Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero

Answer: I believe it’s B

Step-by-step explanation:

Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee. Which inequalities can represent this situation if m is the number of songs he can buy? Select two options. 1 + 1.5 m less-than-or-equal-to 25 1 + 1.5 m greater-than 25 25 greater-than 1 + 1.5 m 1 + 1.5 m less-than 25 25 greater-than-or-equal-to 1 + 1.5 m

Answers

Answer:

1 + 1.5 m less-than-or-equal-to 25

25 greater-than-or-equal-to 1 + 1.5 m

Step-by-step explanation:

Available amount $25

Cost of a song= $1.5

One of fee= $1

Number of songs= m

25 ≥ 1+1.5m

or

1 + 1.5m ≤ 25

is the required inequality

-----------

Correct answer choices:

1 + 1.5 m less-than-or-equal-to 25 25 greater-than-or-equal-to 1 + 1.5 m

Answer:

1.00+1.50m ≤ 25 (1+1.5 m less than or equal to 25)

OR

25 ≥ 1.00+1.50m (25 greater than or equal to 1+1.5m)

Step-by-step explanation:

Activation Fee = $1.00

Cost of each song = $1.50

Since we are given that he can buy m songs .

So, Cost of m songs = $1.50 m

So, total cost = Activation charge + Cost of m songs = $1.00+$1.50 m

Since we are also given that Miguel can use all or part of his $25 gift card to make a music purchase.

So, the inequality becomes :

=> 1.00 + 1.50m ≤ 25

=> 1.50m ≤ 25-1

=> 1.50m ≤ 25

=> m ≤ 25/1.50

=> m ≤ 16

Hence the inequality that can represent the situation is

1.00+1.50m ≤ 25

OR

25 ≥ 1.00+1.50m

Mr. Mole left his burrow and started digging his way down.
A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.
A= -2.3t – 7
How fast did Mr. Mole descend?

Answers

Answer:

He's descending at a pace of 2.3 meters per minute.

Step-by-step explanation:

This is because the equation shows us the slope or the speed he's going at.

A= -2.3t - 7

A= Altitude

-2.3 = Slope

- 7 is his starting altitude in meters

But every minute, t, he is going down 2.3 meters. It's easier to think about if you consider, A = y, and, t = x. Now you have the equation, y = -2.3x - 7.

And you graph it to see the progression in slope.

Allyson completed the division below.

9 StartLongDivisionSymbol 187.2 EndLongDivisionSymbol minus 18 = 07 minus 0 = 72. 72 minus 72 = a remainder of 0 and a quotient of 20.8.

What is Allyson’s error?
She included a 0 in the quotient that does not belong.
She multiplied the dividend by 100 instead of 10.
She should have multiplied both numbers by 100.
She did not subtract correctly in one of the steps.

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did this.

Can anybody help me with this and show work ?? :)

Answers

Answer: C.

Step-by-step explanation:

If ABCD gets rotated 180ᴼ, you will be able to see the reflection of ABCD to A’B’C’D’. Then just reflect across the x-axis (horizontal) to transform ABCD onto A’B’C’D’.

h=-16(t-) + 49,
Does the marshmallow reach its maximum height?

Answers

Yes the marshmallow reach it’s maximum height.

solve the equation x^2+6x+1=0 give your answers to 2 decimal places

Answers

Step-by-step explanation:

I'm still working on the explanation, but the answer is -0.17 to 2 dp

Answer:

x = -0.17

x=-5.83

Step-by-step explanation:

x = -0.1715728752538

x= -5.828427147462

-0.17

-5.83

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