In the diagram, △ABC ~ △DEF. What is AC?
The image is of two similar right triangles ABC and DEF with right angles at B and E respectively. First one smaller in size and its base is 3. Base, altitude and hypotenuse of second one are 6, 8 and 10 respectively.

A. 4
B. 7.5
C. 5
D. 3

Answer:

See belolw

Step-by-step explanation:

[tex]P=53\text{ft}[/tex]

[tex]P = a+b+c[/tex]

[tex]53=2x-15+x+1+3x-29[/tex]

[tex]53=6x-43[/tex]

[tex]96=6x[/tex]

[tex]x=16[/tex]

[tex]a=2x-15[/tex]

[tex]a=2(16)-15[/tex]

[tex]\boxed{a=17}[/tex]

[tex]b=x+1[/tex]

[tex]b=16+1[/tex]

[tex]\boxed{b=17}[/tex]

[tex]c=3x-29[/tex]

[tex]c=3(16)-29[/tex]

[tex]\boxed{c=19}[/tex]

Answer:

1. x=16, a=17, b=17, c=19

2. k=-2

Step-by-step explanation:

1.

We can set up an equation where all the labeled sides add up to 53, and then find x:

(2x-15)+(x+1)+(3x-29)=53

6x-43=53

6x=96

x=16

Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:

a=2(16)-15=17

b=16+1=17

c=3(16)-29=19

2.

Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:

[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]

Answer:

2

Step-by-step explanation:

2×2=4 4-4=0 so the answer is 2

Answer:

2

Step-by-step explanation:

g(x)=2x-4

x=? when g(x)=0

we know,

g(x)=2x-4

0=2x-4

4=2x

x=4/2

x=2#

Answer:

34.8 dollars

Step-by-step explanation:

multiply 29 by 1.2 to get the final answer

Answer:

The square root of 120 is about 10.95

Step-by-step explanation:

Answer:

You can think of the mean being acually mean because you have to do more work. When solving for the mean you add all the answers together then divide by the amount of numbers you have. For example,  you have the numers (1, 2, 3) add them together (1+2+3) to get 6 then divide by 3 (6/3) to get a mean of two. The median is also fairly easy to remember. You line your numbers up least to greatest, left to right. and mark one off of each side at a time. If you have a even amount of numbers and reach the center, you add the two centers together then divide by to to get the median. If you have an odd amount of numbers, there should be one in the exact center left over.

Step-by-step explanation:

Mean) 3+8+10+15=36, 36/4=9 ANSWER=9

Median) 8+10=18, 18/2=9 ANSWER=9

In the case, the mean and median are the same and depending on context you could choose either method. It also helps that there is no outlyer. If there were on I would recomend finding the median.  

Answer:

A. 25, 22

B. machine 1

How much faster? MACHINE 1 fills 3 more cartons per minute than MACHINE 2

Step-by-step explanation:

Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill. The equation y = 22x describes the rate at which Machine 2 can fill cartons where x is the number of minutes and y is the number of cartons filled.

The equation of the graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill is -

y = [(100 - 50)/(4 - 2)]x

y = 25x

AND

y = 22x describes the rate at which Machine 2 can fill cartons.

So, we can write -

Machine 1's unit rate = 25

Machine 2's unit rate = 22

It is easily visible that Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.

Therefore,

Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

[Refer to image for complete question]

Answer:

160

Step-by-step explanation:

... ...... ..

....i

Answer  It should be 40%

Answer:

a

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

Add the first two then subtract

The answer to the equation is B, [tex]-\frac{2}{3}[/tex]

First, you must add the the fractions. You add the numerator because all three fractions have like denominators.

[tex]-\frac{8}{9} +\frac{4}{9} -\frac{2}{9}=\frac{6}{9}[/tex]

Then, you must simplify [tex]-\frac{6}{9}[/tex]

[tex]-\frac{6}{9} =-\frac{2}{3}[/tex]

The answer to the equation is [tex]-\frac{2}{3}[/tex]

Answer:

36

Step-by-step explanation:

Answer:

P (Success) = 1/8

P (Failure) = 7/8

Step-by-step explanation:

It is provided that a spinner is divided into 8 equals sections and the sections are labeled 1 through 8.

Only one section is considered as success and the remaining seven are failures.

So, the probability of a success is,

P (Success) = 1/8

And the probability of a failure is,

P (Failure) = 7/8

Answer:

a

Step-by-step explanation:

Answer:

Angles 1 and 9 are corresponding angles

2 and 3 same side interior angles

8 and 12 are OTHER

6 and 12 are alternate interior

1 and 2 are linear pairs

15 and 11 are alternate interior

8 and 9 are same side interior

2 and 4 are corresponding

Step-by-step explanation:

Use the graph!

Brainliest??Hope it helped!

∠1 and ∠9 = Corresponding angles

∠2 and ∠3 = Same side interior angles

∠8 and ∠12 = Other

∠6 and ∠12 = Alternate interior angles

∠1 and ∠2 = Lineae pair

∠15 and ∠11 = Alternate interior angles

∠8 and ∠9 = Same side interior angles

∠2 and ∠4 = Corresponding angles

-86 is the value of -8a-b when a = 10 and b = 6.

An expression is combination of variables, numbers and operators.

The given expression is -8a-b

a and b are the variables in the given expression.

Minus is the operator of subtraction in the expression.

The value of a is given as 10 and b is 6.

Now we have to substitute the values of a and b in expression.

-8(10)-6

Eight times of ten is eighty

-80-6

Minus eighty minus six is minus eighty six.

-86

Hence, -86 is the value of -8a-b when a = 10 and b = 6.

To learn more on Expressions click:

https://brainly.com/question/14083225

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Answer:

here it is

Step-by-step explanation:

Simply divide 5 INTO 60.20 to get $ per hour.

Another way of saying this is divide $60.20 BY 5.

Answer:

[tex]\frac{1}{60}[/tex]

Step-by-step explanation:

Problem:

 The possible values of x in the equation (60)x = 1;

Solution:

Such a problem like this in which the highest power of the unknown is 1 will have just one solution.

       60x  = 1

To solve this, we take the multiplicative inverse of 60;

   the multiplicative inverse of 60 = [tex]\frac{1}{60}[/tex]

   Use this inverse to multiply both sides of the expression;

         [tex]\frac{1}{60}[/tex] [tex]x[/tex]  60x  = 1 x [tex]\frac{1}{60}[/tex]

                   x  = [tex]\frac{1}{60}[/tex]

Answer:

3.75

Step-by-step explanation:

Answer:

$8.75

Step-by-step explanation:

Answer:

One pair of jeans costed 18.64

Step-by-step explanation:

37.28 divided by 2.

Answers: -0.5 m

here you go

Answer:

(2^3)^2/2^3X2^2 = 6/4 = 3/2

Step-by-step explanation:

(2^3)^2 = 6^2 = 36

2^3 X 2^2 = 6 X 4 = 24

Answer:

(2^3)^2 is 32 greater than 2^3 * 2^2

Step-by-step explanation:

(2^3)^2 = 2^(3 * 2) = 2^6 = 64

2^3 * 2^2 = 8 * 4 = 32

Difference:

64 - 32 = 32

Answer: (2^3)^2 is 32 greater than 2^3 * 2^2

Answer:

65

Step-by-step explanation:

you add all the numbers inside.

80+35= 115

You have to make sure it equals to 180 to find angle 1.

Therefore, 180-115=65.

Answer:

y = -3 when x = 4

Step-by-step explanation:

2x-4y = 20

x = 4

2(4) - 4y = 20

8 - 4y = 20

-4y = 12

y = -3

Answer:

X is 17

Step-by-step explanation:

Answer:145/333

Step-by-step explanation:

Answer:

see the picture hope this helps

im not for sure but Step-by-step explanation: 3,000=102938884.00919377299

Answer:

3,000=102938884.00919377299

Step-by-step explanation:

Answer:

[tex]\huge\boxed{3 = 57 \textdegree}[/tex]

[tex]\huge\boxed{4 = 33 \textdegree}[/tex]

Step-by-step explanation:

When two angles are complementary, their angle lengths add up to 90°.

Therefore, we can make the equation

[tex](x+24) + (x) = 90[/tex]

Now we can solve for x.

Since the measure of ∠4 is just x°, and we know x is 33, that means ∠4 is 33°.

We also have the expression for ∠3, [tex]x+24[/tex]. Since we know x is 33, we can substitute it into the expression.

[tex]33+24\\\\57[/tex]

Hope this helped!

Answer:

B.

Step-by-step explanation:

The answer is B since it cost $3 for 5, it would be $6 or double for 10.

Answer:

B. $6

Step-by-step explanation:

3 divided by 5 = 0.6

0.6 multiplied by 10 = $6

(I might be wrong. Sorry if I am. Don't get mad at me)

Hope I helped :)

Please consider Brainliest :)

Answer:

the answer is we dont know cuz theres no question

ok then it should be the bag wit 8lb

Answer:

Obviously, it's the 8lb bag of dog food because it's the cheapest, but it may vary with the type of animal (a dog in this case).