the length of a rectangular house is two and a half times its width. Solve the problem using x to denote the shorter side of the rectangle.
a) construct the expression for the area or the rectangle in terms of x

b) calculate the area if x=32 feet

Answer:

5b2 - b -2

Step-by-step explanation:

The answer is (c)

Answer:

80

Step-by-step explanation:

3.5*2*2*2*2*5=280

Answer:

Try setting up a proportion: [tex]\frac{5}{15}=\frac{3}{x}[/tex] then cross multiply to solve for x which will try you how many boys are in the class.  Then add the number of boys and girls together.

Step-by-step explanation:

Answer: the answer is D which is (2,1)

Answer:

-4x+8=24

24-8

16/-4x

x= -4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-4x + 8 = 24

Subtract 8 from both sides to isolate the x.

-4x + 8 = 24

       -8    -8

-4x       = 16

Divide -4 from both sides to solve for x.

-4x = 16

/-4    /-4

x = -4

The perimeter of a triangle is the sum of its side lengths.

The perimeter of triangle ACD is 40 units

Start by calculating the values of x and y, using the following equivalent ratios

[tex]6 : 4 = x - 2 : x - 4[/tex]

[tex]6 : 10 = 6 + x - 2 : y[/tex]

So, we have:

[tex]6 : 4 = x - 2 : x - 4[/tex]

Express as fraction

[tex]\frac 64 = \frac{x-2}{x-4}[/tex]

Cross multiply

[tex]6x - 24 = 4x - 8[/tex]

Collect like terms

[tex]6x - 4x = 24 - 8[/tex]

[tex]2x = 16[/tex]

Divide both sides by 2

[tex]x = 8[/tex]

Also, we have:

[tex]6 : 10 = 6 + x - 2 : y[/tex]

Express as fraction

[tex]\frac 6{10} = \frac{6 + x -2}{y}[/tex]

Substitute 8 for x

[tex]\frac 6{10} = \frac{6 + 8 -2}{y}[/tex]

[tex]\frac 6{10} = \frac{12}{y}[/tex]

Cross multiply

[tex]6y = 120[/tex]

Divide both sides by 6

[tex]y = 20[/tex]

The perimeter of triangle ACD is then calculated as:

[tex]P =6 + x - 2 + y + x - 4 + 4[/tex]

Substitute values for x and y

[tex]P =6 + 8 - 2 + 20 + 8 - 4 + 4[/tex]

[tex]P =40[/tex]

Hence, the perimeter of triangle ACD is 40 units

Read more about perimeter at:

https://brainly.com/question/19576164

The perpendicular bisector theorem gives the statements that ensures

that [tex]\overleftrightarrow{FG}[/tex] and [tex]\overleftrightarrow{AB}[/tex] are perpendicular.

The two statements if true that guarantee  [tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex] are;

Reasons:

The given diagram is the construction of the line [tex]\mathbf{\overleftrightarrow{FG}}[/tex] perpendicular to line [tex]\mathbf{\overleftrightarrow{AB}}[/tex].

Required:

The two statements that guarantee that  [tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex].

Solution:

From the point C arcs E and D are drawn to cross line [tex]\overleftrightarrow{AB}[/tex], therefore;

[tex]\overline{CE} = \mathbf{\overline{CD}}[/tex] arcs drawn from the same radius.

[tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex], given.

Therefore;

[tex]\overline{DF} = \overline{EF}[/tex]  by perpendicular bisector theorem.

Learn more about the perpendicular bisector theorem here:

https://brainly.com/question/11357763

Answer:

4/10 and 16/40

Step-by-step explanation:

2/5 = 0.4(ZERO POINT FOUR NOT 0.04 ZERO POINT ZERO FOUR)

(numerator =2 x 2=4 ,denominator= 5 x 2= 10) this is how i got 4/10 (choose any number between 10 and 2 and multiply it by the denominator and numerator)

As well as 4/10  = 0.4

Also 16/40= 0.4

(Using our original fraction 2/5 we can multiply both the numerator and denominator by 8; numerator= 2 x 8 = 16  and denominator= 5 x 8 = 40

Since 4/10 and 16/40 are both equivalent to 0.4, they are equivalent fractions

(TO FIND THE DECIMAL OF THAT FRACTION DIVIDE THE NUMERATOR BY DENOMINATOR)

hope this helps, ;]

Answer:

I think the answer is4k3+0 or 4

Answer:

here's a photo of the calculator to that question

Answer:

1260°

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180°

This polygon has 9 sides, so n = 9

sum = (9 - 2)180°

sum = 7(180°)

sum = 1260°

Answer:

h(-3)=16

h(0)=13

h(8)=5

Step-by-step explanation:

[tex]h( -3) = 13 - ( - 3) = 16 \\ h(0) = 13 - 0 = 13 \\ h(8) = 13 - 8 = 5[/tex]

Answer:

6.2 meters

Step-by-step explanation:

1) area = l*w

74.4 = 12x

x=6.2

Hey there!

y = -8x

→ -50 = -8(3)

→ -8(3) = -50

→ -8(3) = -24

→ -24 ≠ -50

Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)

Answer: NO

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:apple

Step-by-step explanation:

Answer:

Blueberries.

Step-by-step explanation:

Apples calorie is 80, Blueberries calorie is 83, Pumpkins calorie is 49, Raspberries calories is 10. The highest number of calories on this list is 83, which is blueberries

Answer:

y = (5/2)x + 20

Step-by-step explanation:

Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.

All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get

y=(5/2)x +20

Step-by-step explanation:

75-7=68 +(12)+1 exponent 3 meaning one multiplying itself three times so

68+12+1×1×1

80+1×1

80+1

=81

Answer:

45

Step-by-step explanation:

Ratio is 2girls:3boys

if there were 27 boys, we would have the following ratio:

2g    xg

--- = ---

3b     27b

To get from 3 to 27, multiply by 9.

Now, do the same for the numerator.

Now we know we have 18 girls!

We can add:

27 boys and 18 girls=

45 members!

Answer:

45+x = 71

26 players were added

Step-by-step explanation:

We start with 45 players

We ended with 71 players

We added x players

45+x = 71

Subtract 45 from each side

45+x-45 = 71-45

x =26

We added 26 players

ATQ

[tex]\\ \sf{:}\dashrightarrow x+45=71[/tex]

[tex]\\ \sf{:}\dashrightarrow x=71-45[/tex]

[tex]\\ \sf{:}\dashrightarrow x=26[/tex]

Answer:

NOT CONGRUENT

Step-by-step explanation:

Angle Side Side doesnt work so it is not congruent

Answer: make me brainlist

Step-by-step explanation: 1.1 x

Answer:

20

Step-by-step explanation:

you know the ratio is 4:3 so you do 4+3=7 then you do 140÷7=20 so I bar represents 20

Answer:

So we will use combinations, as it does not matter what order they get chosen in.

The combinitoric that you will plug in to your calculator is: nCr(12,7)

Therefore, the answer is 792

First make a guest check

My Guest check #9

1 donut = $1.29

Donut holes = $4.89

Dozen Donuts = $12

Donut Holes = $4.89

$1.29 + $4.89 + $12 + $4.89 = $23.07

$23.07 * 8% = $24.92 is the 9th check list

My Guest check #10

1 donut = $1.29

1 donut = $1.29

Dozen Donuts = $12

Donut Holes = $4.89

$1.29 + $1.29 + $12 + $4.89 = $19.47

$19.47 * 8% = $21.03 is the 10th check list

Answer:

B

Step-by-step explanation:

lmk if you want an explanation

Answer: 22.5 kg

Step-by-step explanation:

You did not attach a question, so I'm going to assume that it is asking for the maximum weight of a suitcase in kilograms.

Answer:

6 4/9

Step-by-step explanation:

You divide 58 and 8 and your answer would be 6.444444 repeating.