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 1

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


Related Questions

What is the domain of g(x)?​

Answers

Answer:

-2 ≤x≤5

Step-by-step explanation:

The domain is the inputs

The lowest value of x is -2 and every value of x is valid up to 5

-2 ≤x≤5

Elijah uses 2 pints of stain on each table that he makes . How many tables can he paint with 1 gallon of stain ? sets

Answers

Answer:

4 sets

Step-by-step explanation:

1 gallon contains 8 pints. It takes 2 pints per table, so we should divide 8 by 2.

By doing this, we get 4, therefore he can stain 4 sets of tables with a gallon of stain.



Mr. Bloop can high jump 5.75 feet. How far short is that of Charles Austin's record of 7 ft 10 in?


Answers

Answer:

5.75 feet is the same as 5 ft 9 inches (because 12 in = 1 ft and 0.75 * 12 = 9 so its 9 in). 7 ft 10 in - 5 ft 9 in = 2 ft 1 in.

Is the following statement true or false? The intersection of a plane and a ray can be a line segment.

Answers

Answer:

False

Step-by-step explanation:

Is the following statement true or false?

The intersection of a plane and a ray can be a line segment.

It is false. Correct one is the point.

choose all functions below that have a vertex of (4.5,-8)​

Answers

Answer: Answer: A

Explanation:

Just plug in numbers since you know the unknown values,

x + r = 4 + 5

4 + 5 = 9

Step-by-step explanation:

Which of the following equations is the translation 2 units up of the graph of y = |x|?

A. y = |x| - 2
B. y = |x| + 2
C. y = |x + 2|
D. y= |x - 2|

Answers

Answer:

its y = |x| + 2

Step-by-step explanation:

On Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4. Write a mathematical statement that represents the situation and determine the price at the end of the week.

Answers

Answer:

The price at the end of the week is $33.

Step-by-step explanation:

We are given that on Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4.

The price of a company’s stock on Monday = $30 per share

So, the mathematical statement that represents the situation is given by;

Price of company’s stock on Monday = $30

On Tuesday, the stock price drops $3, so the price of company’s stock on Tuesday = Price of company’s stock on Monday - Drop in price on Tuesday

              = $30 - $3 = $27

On Wednesday, the stock price rises $7, so the price of company’s stock on Wednesday = Price of company’s stock on Tuesday + Rise in price on Wednesday

              = $27 + $7 = $34

On Thursday, the stock price rises $3, so the price of company’s stock on Thursday = Price of company’s stock on Wednesday + Rise in price on Thursday

              = $34 + $3 = $37

On Friday, the stock price drops $4, so the price of company’s stock on Friday = Price of company’s stock on Thursday - Drop in price on Friday

              = $37 - $4 = $33

Hence, the price at the end of the week is $33.

Which symbol would make the statement TRUE?
-3/4
-0.75
A. <
B. >
C. =
D. none of the above

Answers

Answer: C

Step-by-step explanation: -3/4 is equal to -.75 ,

They both equal to -0.75

What is the area of the composite figure? -70 cm2 -100 cm2 -105 cm2 -130 cm2

Answers

Make two shapes out of it.

The bottom is a rectangle 14 x 5 = 70 square cm

The top is a triangle 1/2 x 12 x 5 = 30 square cm

Total area = 70 + 30 = 100 square cm

Answer:

100 cm²

Step-by-step explanation:

The composite shape can be cut into two shapes. One triangle and one rectangle. The sum of their areas is the area of the whole composite shape.

The area of the triangle:

b × h × 1/2

(14 - 2) × 5 × 1/2

60 × 1/2

= 30 cm²

The area of the rectangle:

l × w

14 × 5

= 70 cm²

Add the areas of the two shapes.

30 cm² + 70 cm²

= 100 cm²

The area of the composite shape is 100 cm².

2x + 3y = 13
4x - y = -2

Answers

Answer:

x=1/2. y=4

Step-by-step explanation:

4(2x+3y=13)=8x+12y=52

2(4x-y=-2)=8x-2y=-4

subtract equation one from equation two to get

14y=56 then u will divide bothe sides by 14. for x u substitute y in equation one

Answer:

x = 1/2 y = 4

Step-by-step explanation:

Equation 1

2x + 3y = 13

Equation 2

4x - y = -2

Multiply equation 2 by 3

12x - 3y = -6

Add equation 1 to 3

14x = 7

x = 7/14

x = 1/2

Substitute x into equation 1

2(1/2) + 3y = 13

3y = 13 -1

3y = 12

y= 12/3

y = 4

x =1/2 y = 4

Hope this helps.

Can someone answer this question thanks

Answers

Answer:

80 = x

Step-by-step explanation:

The base angles are the same if the side lengths are the same

The unmarked angle is 50 degrees

The sum of the angles is a triangle is 180 degrees

180= 50+50+x

180 = 100 +x

180 -100 = 100+x-100

80 = x

Answer:

80°

Step-by-step explanation:

In an isosceles triangle, if the two sides are the same length, then the two angles formed on the base line are equal.

The other angle on the base line is also equal to 50°.

Angles in a triangle add up to 180°.

x° + 50° + 50° = 180°

x° + 100° = 180°

x° = 180° - 100°

x° = 80°

The diagonal of a rectangle is 58" the site is 40" and the base is 42" what is the ratio of the diagonal to the base of the rectangle​

Answers

Answer:

29:21

Step-by-step explanation:

The ratio of the diagonal to the base of the rectangle is 58:42

The ratio can be simplified further.

The simplified ratio is 29:21.

Which graph shows the line y = 2x + 3?

Answers

Answer: Graph D

Step-by-step explanation:

The slope is 2

x goes after the slope in graph functions

The line goes through 3 on the y-axis so that’s where + 3 comes in.

2x + 3

Evaluate xy - y if x=6 and y=-5​

Answers

Answer:

-25

Step-by-step explanation:

xy - y

Replace 'x' with 6, and 'y' with -5:

[tex]6(-5)-(-5)\\\\-30+5\\\\\boxed{-25}[/tex]

what are the y-intercept and axis of symmetry of this quadratic function??

Answers

Answer: The answer is B I believe

Step-by-step explanation:

Answer:

y-intercept : (0,5), D

axis of symmetry : x = 3, E

solve the equation (X-1) (2x+5)=0​

Answers

Answer:

x = -5/2

x = 1

Step-by-step explanation:

(x-1) (2x+5) = 0​

Divide both sides by (x-1)

2x+5 = 0​

Subtract 5 on both sides.

2x = -5

Divide 2 into both sides.

x = -5/2

(x-1) (2x+5) = 0​

Divide both sides by (2x+5).

x - 1 = 0

Add 1 to both sides.

x = 1

An account pays 7%per year simple interest. In 1 year, the amount in the account is 950. How much is in the account in year 6

Answers

Answer:

First year's interest is already given.

There are 5 more payments of interest

= 5 * 0.07 * 950 = 332.5

so amount in the account after 6 years = 950 + 332.5 = 1282.5

Answer:

The answer is 1282.50

Step-by-step explanation:

Important!!!


That is the distance between (-5, 4) and (-1, 4)?
-5 units
-4 units
4 units
5 units

Answers

Answer:

4 units

Step-by-step explanation:

Since the y value is the same, we only have to look at the x value

-1 - -5

-1 +5

4

The distance is 4 units

Answer:

4 units

Step-by-step explanation:

if you graph these 2 points, they'll be on the same line of the graph separated by 4 units

m 1 = a) 40 b) 130 c) 50

Answers

Answer:

A) 40

Step-by-step explanation:

The angle adjacent 40 is complementary to it, meaning that it must have a measure of 90-40=50 degrees. This angle is a vertical angle with the one inside the triangle, meaning that it also has an angle of 50 degrees. Now that you know two of the angles in the triangle and you know that all of the interior angles of a triangle add up to 180 degrees, you can find angle 1:

[tex]\angle 1=180-90-50=40^{\circ}[/tex]

Hope this helps!

Answer:

<1 = 40

Step-by-step explanation:

Corresponding angles are equal and <1 and 40 are corresponding angles on parallel lines

Find the values of x and y in triangle ABCD

Answers

Answer:

x and y = 66.5

Step-by-step explanation:

180-47=133

133/2=66.5

apply the distributive property to factor out the greatest common factor for 9+12n I need an expression too

Answers

Answer:

3(3+4n)

Step-by-step explanation:

Anybody know this ? Please help :(

Answers

Answer:

D

Step-by-step explanation:

5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50

Option D is the answer:

5.50, 5.75, 6.00, 6.25, 6.50...

What is the value of X in the given right triangle? WILL GIVE BRAINLIEST!

Answers

Answer:

Please mark me brainliest and I hope this helped!

x = 45

Step-by-step explanation:

In this case, we can use the Pythagorean Theorem to figure out the other side of the triangle.

c squared - a squared = b squared

10 squared - 7 squared = b squared

100 - 49 = b squared

51 = b squared

7.14 = b

Now that we know the other side is about 7, we can assume that x is equal to the angle between 10 and 7. So x equals 45.

Which of the statements is true please show work

Answers

Answer:

f(4)>g(4)

Step-by-step explanation:

f(x)=3x^5 ,  f(4)= 3072

g(x)=11*4^x when x=4 then g(4)=2816

th
Write an explicit formula for An, the nth
term of the sequence 15, 23, 31, ....

Answers

Answer:

a₁ = 15 and common difference = 8 so the formula is:

aₙ = 15 + (n - 1) * 8

= 8n + 7

Circumference of circles

Answers

Answer:

The circumference formula is 2πr and we know r = 1 so the answer is 2π.

Answer: 6.28 feet

Step-by-step explanation:

The formula for circumference is C= πd Diameter is radius times two. So use a value of π which is usually 3.14 or 3.1416 for practical purposes. Multiply by the diameter. 3.14×2=6.28.

expand the following 5( 2x -4 )​

Answers

Answer:

10x-20

Step-by-step explanation:

5(2x-4)

5x2=10

5x4=20

Multiply 8/11 by the reciprocal of -16/121

Answers

Answer: -11/2

Step-by-step explanation:

First, find the reciprocal of -16/121. Which is -121/16 (you can put the negative sign anywhere). Now, you must multiply the two fractions:

[tex]\frac{8}{11} *-\frac{121}{16}[/tex]      

You can cross out the terms 8 and 16 because they can be simplified into 1 and 2. And you can cross out 11 and -121 because they can be simplified into 1 and -11:

= [tex]\frac{1}{1} * -\frac{11}{2}[/tex]

Now multiply the numerators together, and multiply the denominators:

= [tex]-\frac{11}{2}[/tex]

Please answer this ASAP ❤️

Answers

Answer:

4

Step-by-step explanation:

just change the x into -6

-(-6)-2 = 6 - 2 = 4

Answer:

f(x)=-x-2

f(-6)=-(-6)-2

f(-6)=4

Step-by-step explanation:

What is the axis of symmetry of the quadratic function y = 2(x + 3)2 + 5?

x = –5

x = –3

x = 5

x = 3

Answers

The answer is the second one X=-3

Answer:

-3

Step-by-step explanation:

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