A rectangle has a perimeter of 80. if the length is four more than twice the width, what is the length of the rectangle ​

Answer/Step-by-step explanation:

Given:

m<12 = 121°

m<6 = 75°

a. m<1 = m<6 (vertical angles)

m<1 = 75° (substitution)

b. m<12 = m<1 + m2 (alternate exterior angles)

121° = 75° + m<2 (substitution)

121° - 75° = m<2 (subtraction property of equality)

46° = m<2

m<2 = 46°

c. m<1 + m<2 + m<3 = 180° (angles on a straight line)

75° + 46° + m<3 = 180° (substitution)

121° + m<3 = 180°

m<3 = 180° - 121° (subtraction property of equality)

m<3 = 59°

d. m<4 = m<3 (vertical angles)

m<4 = 59° (substitution)

e. m<5 + m<4 + m<6 = 180° (angles on a straight line)

m<5 + 59° + 75° = 180° (substitution)

m<5 + 134° = 180°

m<5 = 180° - 134° (Subtraction property of equality)

m<5 = 46°

f. m<7 = m<12 (vertical angles)

m<7 = 121° (substitution)

g. m<8 = m<4 (vertical angles)

m<8 = 59° (substitution)

h. m<9 = m<6 (Alternate Interior Angles)

m<9 = 75° (substitution)

i. m<10 + m<9 = 180° (Linear Pair)

m<10 + 75° = 180° (substitution)

m<10 = 180° - 75° (Subtraction property of equality)

m<10 = 105°

j. m<11 = m<8 (vertical angles)

m<11 = 59° (substitution)

k. m<13 = m<10 (vertical angles)

m<13 = 105° (substitution)

l. m<14 = m<9 (vertical angles)

m<14 = 75° (substitution)

Answer:

No

Step-by-step explanation:

When an Ice Cube melts into water it is a physical change not a chemical change because no chemicals were used.

Hope this Helps!!! :)

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Answer:

Graphing from slope

Step-by-step explanation:

To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

Answer:

..

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Y2-y1

________

X2-x1

-7 - (-8) = 1

6-4=2

Slope is 1/2

The slope of the line through (6, -7) and (4, -8)

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Two points; (6, -7) and (4, -8)

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m=(-8-(-7))/(4-6)

m=(-1)/-2

m=1/2

Therefore, the slope between the two given points will be1/2

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Answer:

A

Step-by-step explanation:

Here, we want to select which of the expressions correctly use the associative property

The associative property deals with rearrangement

So for (a + b) + c

we can have (a + c) + b

In the case of this question, the associate property is the one that makes the evaluation easier

Thus;

we need to bring 1/3 and 6 together since 3 is a factor of 6

We have;

(6•1/3)7/5

Answer:

x =11

Step-by-step explanation:

XWY + YXZ = XWZ

5x+5  + 2x+8 = 90

Combine like terms

7x+ 13 = 90

Subtract 13 from each side

7x= 90-13

7x = 77

Divide by 7

7x/7 = 77/7

x = 11

Answer: The real part is -7, the imaginary part is 8i

Step-by-step explanation:

Answer: The Real Part: -7

               The imaginary Part: 8i

Step-by-step explanation:

Add both pair of shoes together. Then take that total and multiply by7% or.07

Answer:

L = -0.75t + 6

Step-by-step explanation:

L = length (this is what equation you are looking to solve for

-0.75t because the candle burns at 0.75 in per hour so the value decreases, hence the (-)

+6 because the candle has a positive value of 6 inches to begin with

The standard form of what you are writing is called slope intercept form y = mx + b, learn it because it is very important for future math.

The equation of the candle remaining unburned at any given time is       L(t) = 6 - 0.75t.

A function is a set of values of the dependent variable for specified independent variable.

According to the given question Brayden just lit a new candle and then let it burn all the way down to nothing.

The candle burned at a rate of 0.75 inches per hour and its initial length was 6 inches we have to write an equation for L in terms of t where t represents time in hours and L(t) represents length of the candle remain unburned.

∴ L(t) = 6 - 0.75t.

At t = 0 the length of the unburned candle L(t) will be 6 inches and at t = 8 L(t) will be 0,So the candle can burn for 8 hours.

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Answer:

7,-10

Step-by-step explanation:

Answer:

The answers are A, B, C, F

Answer:

27 is 25% of 108.

Step-by-step explanation:

A question like this is quite easy. You can multiply 27 by 4 to get 108.

That's the answer, hope it helps

Answer:

y=3x-2

Step-by-step explanation:

the slope intercept form formula is

y=mx+b

Answer:

40

Step-by-step explanation:

Deceleration means how much did it go down? It makes sense that 40 is correct! Let me know if I'm wrong.

Answer: (below)

Step-by-step explanation:

1) n/6 + 6 = -3

2) 2n + 5 = 27

3) n/2 - 10 = 5

Answer:

m<B=74°

Step-by-step explanation:

3x-23+2x-12=180

5x-35=180

5x=180+35

5x=215

x=215÷5

x=43

m<B=2x-12=2(43)-12=86-12=74

answer:

b= 10x i pretty sure

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

I hope this helps!

Answer:

33 pillowcases

Step-by-step explanation:

16.5 yard of fabric/ 1.5 yards of fabric = 11 yards of fabric

Multiply 11 (yards of fabric) by 3 (# of pillowcases) to get the number of pillowcases you can make with 16.5 yards of fabric.

11 * 3 = 3 pillowcases

Answer:

V=157

Step-by-step explanation:

Formula-

V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]

1.) Place height and radius in the formula.

V=π[tex]5^{2}[/tex][tex]\frac{6}{3}[/tex]

2.) Now all you have to do is simplify.

V=3.14 x 25 x 2

3.) Now solve.

V=157.07963

Answer:

I say 157 cubic centimeters

Step-by-step explanation:

Answer:Y=2

Step-by-step explanation:

Answer:

y =-1

Step-by-step explanation:

Answer:

0.9km

Step-by-step explanation:

Given that:

Sonya's resolution = walk 2.5 km daily

Total distance walked on Tuesday = 4 times around a running track

1 lap = 0.4 km

Hence, total distance by walking 4 times around track :

0.4km * 4 = 1.6km

Additional kilometers Sonya needs to walk:

2.5 - 1.6 = 0.9 km

Answer: the answer would be A 105

Step-by-step explanation:

Answer:

4.8 miles

Step-by-step explanation:

Set up a ratio, Kelvin.

6/55 = x/44

55x = 6(44)

55x = 264

x = 264/55 = 4.8 miles

Answer

31

Step-by-step explanation:

3 cups in a cake you have 95

95÷3=31 hole cups

Answer:

397 feet

Step-by-step explanation:

All you have to do is subtract the feet of Town R from Town M. The equation would look like this.

679 - 282 =397

So Town R is 397 feet higher than Town M.

Hope that helps and have a great day!

Answer:

10,560 yards

Step-by-step explanation:

5280 plus 5280 equals 10,560