The triangles are congruent due to which criteria?
SAA
SAS
SSS
HL

Answer:

width=4in.

length=13in

Step-by-step explanation:

let the width of the rectangle be x

then the length will be x+9

Area= length×width

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

the width is 4in. and the length is 4+9=13in.

The solution is, width=4in.

length=13in

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

The area of a rectangle is 52 in^2.

If the length is 9 inches more than the width.

let the width of the rectangle be x

then the length will be x+9

Area= length×width

so, we have,

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

so, we get,

the width is 4in. and the length is 4+9=13in.

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Answer:

During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours.y = 5x + 3

During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. y = 5.5x + 2

Then using both equations will be:

y = 5x + 3

y = 5.5x + 2

Subtract the equations

0.5x = 1

x = 1/0.5 = 2

Therefore, the value of y will be:

y = 5x + 3 = 5(2) + 3 = 13

Option B

If any doubt leave a comment

The measure of angle BAC is 20 degrees

The angle on a straight line is 180 degrees.

There are 9 equal sections on the straight line.

This means that the measure of each section is:

Each section = 180/9

Evaluate

Each section = 20

So, we have:

BAC = 20 degrees

Hence, the measure of angle BAC is 20 degrees

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Answer:

87

Step-by-step explanation:

66 + 72 + 87 = 225

225 / 3 = 75

Answer:

Domain is undefined

Answer:

lol hi :D

Step-by-step explanation:

Answer:

Hey what's up?

Step-by-step explanation:

How's life

Answer:

The answer is 400

Step-by-step explanation:

...........

Answer:

the answer is 400 darlin

Step-by-step explanation:

Therefore, 2x³ - 8x units³ is the volume of a rectangular prism.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

(2x³ - 8x) is the volume of a rectangular prism.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given that, a rectangular prism with a length of 2x, a width of (x−2), and a height of (x + 2)

Volume: L x B x H

= (2x) × (x - 2)(x + 2)

= (2x) × (x² - 4)

= 2x(x² - 4)

= 2x³ - 8x units³

Hence, 2x³ - 8x units³ is the volume of a rectangular prism.

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Answer:

882

Step-by-step explanation:

840 : 100 x 105 = 882

There are 20 red marbles

Since the probability of randomly choosing a blue marble is 5/9, then the probability of choosing a red marble will be:

= 1 - 5/9

= 4/9

If there are 45 marbles in total, the number of red marbles will be:

= 4/9 × 45

= 20

Therefore, there are 20 red marbles.

Answer:

14 sq units

Step-by-step explanation:

square - 4

triangle - 4

secong triangle - 6

4+4+6 = 14 sq units

Answer:

A = 10 sq. units

Step-by-step explanation:

Area of a trapezium is the average of the bases times the height.

Base 1 is 8 units

Base 2 is two units

Average is (8 + 2)/2 = 5 units

A = 5(2) = 10 sq. units

Answer:

3

8

+

4

0

+

1

2

0

=

3

4

−

7

(

2

0

−

1

9

)

{\color{#c92786}{38x}}+40+{\color{#c92786}{120x}}=34x-7(20-19x)

1

5

8

+

4

0

=

3

4

−

7

(

2

0

9

)

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

[tex]38x+40+120x=34x-7(20-19x)\\\rule{180}{0.5}\\\text{Simplifying the left:}\\\\38x+120x+40\\\\158x + 40\\\\\text{Simplifying the right:}\\\\34x-7(20-19x)\\\\34x - 140 + 133x\\\\34x + 133x - 140\\\\167x - 140\\\rule{180}{0.5}\\158x + 40 = 167x - 140\\\\158x + 40 - 40 = 167x - 140 - 40\\\\158x = 167x - 180\\\\158x - 167x = 167x - 167x - 180\\\\-9x = -180\\\\\frac{-9x}{-180}\\\\\boxed{x = 20}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

how do we hel you , ca we get a description

Answer:

The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)

Step-by-step explanation:

Starting equation... f(x) = 9.16(1.0054)ˣ

Visually rewritten... y = 9.16(1.0054)ˣ

Flipping x and y... x = 9.16(1.0054)ʸ

Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ

Taking the log of both sides... log (x/9.16) = y log (1.0054)

Isolating y... log (x/9.16)/log (1.0054) = y

Solution... y = log (x/9.16)/log (1.0054)

Answer:

9.43

Step-by-step explanation:

You simply use the first couple digits of the solution your calculator gave you. (How many depends on the question you were asked)

Answer:

  9 23/53

Step-by-step explanation:

The fraction is not particularly nice. It can be written as ...

  9/0.954 = 9000/954 = 500/53 = 9 23/53

As a decimal, the fraction has a 13-digit repeat:

  [tex]9.\overline{4339622641509}[/tex]

The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;

Statement A; The equation has one solution, y = 0

The given equation is;

3(-y + 7) = 3(y + 5) + 6

Expanding the brackets gives us;

-3y + 21 = 3y + 15 + 6

-3y + 21 = 3y + 21

Using subtraction property of equality, subtract 21 from both sides to give;

-3y = 3y

Using addition property of equality, add 3y to both sides to give;

-3y + 3y = 3y + 3y

6y = 0

Using division property of equality, divide both sides by 6 to get;

y = 0

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The missing statements are;

A. The equation has one solution, y = 0.

B. The equation has one solution, y = -1.

C. The equation has no solution.

D. The equation has infinitely many solutions.

Answer:

x > 23

Step-by-step explanation:

2x - 5 > 18 + x

x - 5 > 18

x > 23

brainliest pls

Answer:

2nd option

Step-by-step explanation:

let the number be n then 7 less than this number is n - 7 , so

n - 7 = 16

Based on the number of families that left and the number in total on that block, the expected number of families gone on the other block is 25 families.

On the first block, the proportion of families that is gone is:

= Number of families gone / Total number of families on block

= 5 / 12

If there are 60 families on a block, the number gone would be:

= Proportion of families gone x Total number of families

= 5/12 x 60

= 25 families

In conclusion, 25 families would be gone

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Answer: -99

Step-by-step explanation:

This is a tricky question because we are dealing with negative numbers. In this case, the numbers that are closer to 0 are the greater numbers. So, the greatest multiple of 99 that is less than 0 would be -99.

Answer:

Place the ruler such that the edge is against the object. Parallax is a distortion of view because humans see through two sources, not just one. the farther the object is away from the ruler, the more that parallax can affect the situation.

Step-by-step explanation:

Answer:

there are lots of ways. some of them are

1625/2, 3250/2, 4875/3........

Answer:

a) 8 ,18 year old students took part in the survey

b) 10

Answer: C = 6.5l

Cost is $6.50 per yard.

Step-by-step explanation:

2l = 13 and 5l = 32.5 After simplifying these we get: L = 6.5. In context, this means that one yard of fabric costs $6.50. As the number of yard of fabric increases, cost increases, so c = 6.5l.

Based on the cost of a single meter of fabric, the cost of the fabric that Joy wants is $2.81

Joy wants 8 feet of fabric. First convert this to meters which would be:

= 8 feet x 0.305 meter per feet

= 2.44 meters

The cost of this fabric would therefore be:

= Cost per meter x Number of meters

= 1.15 x 2.44

= $2.806

= $2.81

In conclusion, the cost of the fabric would be $2.81.

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Answer:

b

Step-by-step explanation:

Slope of the first one:

(-6-0)/(0--3) = -6/3 = -2

y = -2x - 6

3y + 30 = 6x

y + 10 = 2x

-2x - 6 + 10 = 2x

4 = 4x

x = 1

y = -2(1) - 6

y = -8