The perimeter of a triangle is 34 feet. One side of the triangle is 2 times the second side. The third side is 2 feet longer than the second side. Find the length of each side

Answers

Answer 1

Answer:

6.4 feet

12.8 feet

14.8 feet

Step-by-step explanation:

let x = length of 1st side

let 2x = length of 2nd side

let 2x + 2 = length of 3rd side

add them all together and set sum equal to 34

x + 2x + 2x + 2 = 34

5x + 2 = 34

5x = 32

x = 6.4, which is 1st side

2x = 12.8, which is 2nd side

2x + 2 = 14.8, which is 3rd side


Related Questions

A rectangular swimming pool has a base of 200 square feet. The pool has a depth of 5 feet. What is the volume of the pool?

Answers

Answer:

200 X 5 = 1000 square feet

Step-by-step explanation:

V = L x W x H

Answer:

1,000

Step-by-step explanation:

find the values of y for which the distance between the point p2,-3 and q 10, y is 10 units

Answers

Answer:

y = - 9, y = 3

Step-by-step explanation:

Calculate distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)

d = [tex]\sqrt{(10-2)^2+(y+3)^2}[/tex]

   = [tex]\sqrt{8^2+(y+3)^2}[/tex]

Given distance between points is 10, then

[tex]\sqrt{64 +(y+3)^2}[/tex] = 10 ( square both sides )

64 + (y + 3)² = 100 ( subtract 64 from both sides )

(y + 3)² = 36 ( take the square root of both sides )

y + 3 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 3 from both sides )

y = - 3 ± 6 , thus

y = - 3 - 6 = - 9

y = - 3 + 6 = 3

What is the value of x?

Answers

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The triangle is equilateral, so each side is equal to the others:

  5x = 3x +6

  2x = 6 . . . . . . . subtract 3x

  x = 3 . . . . . . . . divide by 2

Enter an algebraic equation for the word sentence. Use x as your variable.
90 is five times a number.
The equation is

Answers

Answer:

5X=90

Step-by-step explanation:

5x=90

5x=90

5    5

x=18

Pls help!!!!! 20 points! and brainliest!!!

Answers

Answer:i tried

Step-by-step explanation:

One less than three times a number

Answers

Answer: 3n - 1

Step-by-step explanation:

n = the number

3n - 1

One less is subtracting one.

Answer:

[tex]1-3[/tex]n

Step-by-step explanation:

One less 3 times a number.

1 less is 1-.

3 times a number would be 3n.

So, we get

[tex]1-3n[/tex]

PLEASE HELP I NEED THE COORDINATES ASAP ILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

What is the area of the following square? (Be sure to include units.)
5 cm
5 cm

Answers

The area is 20 Cenimeters

What is the slope of the line that passes through the pair of points (3/2, -2) and (-3, 7/3)?
A. -27/26
B. -26/27
C. 26/27
D. 27/26

Can y'all explain, because I know the answer is B, but I can't figure out for the life of me how to get to that answer.

Answers

Answer B.

Explanation: The formula to find slope is as follows (y2-y1) / (x2-x1). You fill in the x and y coordinates to the corresponding spot. Meaning, you would place the 2nd y value, which is 7/3, at y2. Do this for the rest of the values. After filling in each value, you would then subtract accordingly, leaving you with the slope value. Hope this helps.

Alicia received a utility bill in the amont of $90. This number represents 12% of her weekly income. Find Alicia's weekly Income amount.
O $1080
$780
O $102
$750

Answers

Answer:102

Step-by-step explanation:

Answer:

Alicia's weekly income is $750

Step-by-step explanation:

ok so to find the weekly income we have to see which of this options gives $90 when you multiply by 12%.

A. 1,08012% = 0.12

0.12 x 1080 = 129  too high❌

B. 780

0.12 x 780 = 93  close❌

C. 102

0.12 x 102 = 12.24  too low❌

D. 750

0.12 x 750 = 90  correct answer✅

Please mark brainlest if you got it right, its just by clicking the crown on bottom of answer....you can do that when theres already two anwers,thank you :3❤️

Which number serves as a counterexample to the statement below. 2X < 3X

1- 2
2- 1/2
3- 1/4
4- -2

Plz help me :)

Answers

Answer:

-2

Step-by-step explanation:

Here, we want to select a value that makes the expression wrong

The correct answer will be a negative number

Thus, we have it that;

2(-2) > 3(-2)

-4 > -6

Triangle a'b'c' is result of dilating abc about point a by a scale factor of 2/3. Determine whether each claim about the properties of abc and a'b'c' is true or false

Answers

Answer:

True , because all properties preserved under dilation from triangle abc to a'b'c'.

Step-by-step explanation:

Given : A triangle abc is dilated by a factor of 2/3 , result triangle a'b'c'

To find :After dilation,  properties of triangle abc and a'b'c' is true or false.

Solution:

          Dilation of a triangle are result either decrease or increase the corresponding length of triangle , its depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of triangle.here scale factor is 2/3 so corresponding sides of triangle a'b'c' decreases.

So, dilation of triangle are not congruent but similar to the original triangle abc

Therefore , basic properties of triangle preserved under dilation of triangle by a scale factor.

Answer:

true

Step-by-step explanation:

The best player on a basketball team makes 95​% of all free throws. The​ second-best player makes 90​% of all free throws. The​ third-best player makes 80​% of all free throws. Based on their experimental​ probabilities, estimate the number of free throws each player will make in his or her next 40 attempts. Explain.

Answers

Answer: See explanation

Step-by-step explanation:

The best player on a basketball team makes 95​% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:

= 95% × 40

= 95/100 × 40

= 0.95 × 40

= 38

The​ second-best player makes 90​% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:

= 90% × 40

= 90/100 × 40

= 0.90 × 40

= 36

The​ third-best player makes 80​% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:

= 80% × 40

= 80/100 × 40

= 0.80 × 40

= 32

Give the scale factor of figure A to figure B​

Answers

Answer:

4

Step-by-step explanation:

Lucy and JoJo need to make 140 cupcakes for the school dance. Lucy made 35 of the cupcakes JoJo made 42 cupcakes What fraction of the cupcakes do Lucy and JoJo still need to make? (Use / as a fraction bar.)

Answers

Answer:

16/35

Step-by-step explanation:

From the question we are given:

total number of cupcakes needed for the school dance = 140 cupcakes

Lucy made 35cupckes

JoJo made 42 cupcakes

Total cupcakes made by JoJo and Lucy = 35+42 = 76cupcakes

Remaining cupcakes still needed to be made = 140 - 76 = 64cupckes

Fraction of the cupcakes that Lucy and JoJo still need to make = 64/140

Fraction of the cupcakes that Lucy and JoJo still need to make = 16/35

Hence the fraction of the cupcakes that Lucy and JoJo still need to make is 16/35

Answer:

16/35

Step-by-step explanation:

On the swim team, for every 10 girls there are 7 boys. If there are 21 boys on the swim team, how many girls are there?

Answers

Answer:

30 girls

Step-by-step explanation:

Every 10 girls there are 7 boys.

So if there are 3 groups of 7 boys, there will be 30 girls.

Check:

10 girls: 7 boys

+10 girls: 7 boys

+10 girls: 7 boys

= 30 girls: 21 boys

If an author can type 2500 words in 5 minutes, how many words can he type in 210 minutes?

Answers

Answer:

105,000

Step-by-step explanation:

2500/5 gives you 500 x 210 =105,000

Javon has 1/2 a cup of flour, Sam has 1 1/6 cups of flour, and Antoine has 1 3/4 cups of flour. How many cups of flour do they have all together A. 41/12 B. 17/12 C 2.17 D 2.1712

Answers

I think B but i dont know

Find the perimeter of a 35° slice of pizza that has a radius of 8 inches.

Answers

9514 1404 393

Answer:

  20.9 inches

Step-by-step explanation:

The perimeter length is the sum of the lengths of the two straight edges and that of the curved edge.

  P = r + r + rα . . . . . where α is the central angle in radians

35° is (35°/180°)π radians, about 0.6109 radians

Then the perimeter is ...

 P = r(2 +α) = (8 in)(2 +0.6109) ≈ 20.9 in

The perimeter of the slice is about 20.9 inches.

I need help on this one

Answers

Answer:

90

Step-by-step explanation:

you add 15 each time

75+15=90

Answer:

105

Step-by-step explanation:

sequence number x 3 = S1

S1 x 5 = S2

21 x 5 = 105

Triangle ABC is a right triangle. Triangle A B C is a right triangle. Angle A C B is 90 degrees, angle C B A is 31 degrees, and angle B A C is 59 degrees. What is the relationship between angles A and B?

Answers

Answer:

see explanation

Step-by-step explanation:

Complementary angles sum to 90°

∠ CBA = 31° and ∠ BAC = 59° , sum to 90° (31° + 59° = 90° )

Thus

∠ A and ∠ B are complementary angles

Answer: They are complementary

Step-by-step explanation: took the test on edge!

A deli owner sold 90 sandwiches in one day. Of those sandwiches, 36 were pastrami. Write an equation to show what percent of sandwiches sold were pastrami

Answers

Answer:

36/90 * 100 = p

(p is percent sold that were pastrami)

Step-by-step explanation:

First, 36/90 (part over whole), simplifies to 40/100. We can multiply that by 100 to get a percentage. And that is your equation.

B
NEED HELP ASAP Angles A and B are
supplementary. If
MLB-IoTº, what is
the M
(The pic is of the question)

Answers

Answer:

79

Step-by-step explanation:

Supplementary are angles that will add up to 180. So to find the missing angle we do 180 - 101 and get 79.

hope this helps (:

Write an equation that represents the line.
Use exact number ?

Answers

Answer:

what have we nothing to go buy

Answer:

y=(-4/3)x+2

Step-by-step explanation:

we have two points (3,-2) and (0,2)  given from the statement

the equation of the lines is:

y=mx+b

m=slope

m=(y2-y1)/(x2-x1)

m=(2-(-2))/(0-3)

so we have the slope is

m=4/-3  =-4/3  =-1.3333

we need to find "b"

using the point (0,2)

we have :

2=m*0+b

2=b

finally, we have  

the answer is y=(-4/3)x+2

The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, working on it. It takes 16 children 6 hours to put the jigsaw puzzle together. How many children are needed to put the same jigsaw puzzle together in 4 hours?

Answers

Answer:

24 children

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

[tex]y \alpha \frac{1}{x}\\y =\frac{k}{x}[/tex]

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours

Katherine earned $105.00 at her job when she worked for 7 hours. How much money did she make earn each hour?

Answers

Katherine earned $15 an hour, divide $105 by the seven hours she worked

An apple juice factory produced 830.87 gallons of apple juice in 4 days. How much apple
juice, on average, did the factory produce each day?

Answers

Answer:

207.7175

Step-by-step explanation:

take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.

ASAP! Please do 1-5 and show work if possible!

Answers

Answer :

(1) The radius of a circle is 1.5 m.

(2) The diameter of a circle is 28 ft.

(3) The radius of a circle is 10 in.

(4) The circumference of circle is 47.14 m.

(5) The circumference of circle is 44 yd.

Step-by-step explanation :

Part 1:

Given: d = 3 m

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{3m}{2}=1.5m[/tex]

The radius of a circle is 1.5 m.

Part 2:

Given: r = 14 ft

Now we have to determine the diameter of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Diameter of a circle = [tex]Radius\times 2[/tex]

Diameter of a circle = [tex]14ft\times 2=28ft[/tex]

The diameter of a circle is 28 ft.

Part 3:

Given: d = 20 in

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{20in}{2}=10in[/tex]

The radius of a circle is 10 in.

Part 4:

Given: d = 15 m

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

where,

C = circumference

d = diameter

So,

[tex]C=\frac{22}{7}\times 15m[/tex]

[tex]C=47.14m[/tex]

The circumference of circle is 47.14 m.

Part 5:

Given: r = 7 yd

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

or we can write,

[tex]C=\pi (2\times r)[/tex]

where,

C = circumference

d = diameter

r = radius

So,

[tex]C=\frac{22}{7}\times (2\times 7yd)[/tex]

[tex]C=44yd[/tex]

The circumference of circle is 44 yd.

please help me with this and pls don't answer if you don't know. thank you!

Answers

Answer:

[tex]consider \: triangle \: BDE \\m<BCD = m<BED \\ angles \: of \: triangle \: sum \: up \: to \: 180 ° \\ (14x + 4)° + 55° + 51° = 180° \\ 14x = 180° - (4 + 55 + 51)° \\ 14x = 70° \\ x = \frac{70}{14} \\ x = 5[/tex]

Answer:

x = 5

Step-by-step explanation:

all angles at corners in parallelogram must add to 360

bcd = 51 thus angle at opposite corner (bed) must also equal 51

adding = 51 + 51 = 102

angles at ebc and edc are also equal to each other

edf = 55 and cbf = 55

adding 55+55 = 110

360 - 110 - 102 = 148

divide by 2 for angles ebf and cfd

148/2 = 74

now solve

14x + 4 = 74

14x = 70

x = 5

Help plz I need to fin before today help

Answers

Answer:

BD = 12.1 (nearest tenth)

Step-by-step explanation:

∆ABC is an isosceles triangle, since it has two equal sides, AB and BC. Also, this means that <BAD and <BCD = 60° each.

BD divides ∆ABC into two equal parts.

Apply trigonometric ratio to find BD.

Reference angle = <BAD = 60°

Adjacent = AD = 7

Opposite = BD

Thus, we would have:

tan 60 = opp/adj

Tan 60 = BD/7

7*Tan 60 = BD

12.1 = BD

BD = 12.1 (nearest tenth)

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