The box below has a volume of 135 cm3. The length of the box is x cm. The width of the box is 9 cm, The height of the box is 2 1/2. What is the length (x) of the box?

Answer:

Step-by-step explanation:

QUESTION 7:

We are trying to find angles 1 and 2.

Known angle: 107˚.

In this question, we have 2 parallel lines with a transversal. A transversal is a line that passes through 2 parallel lines making it so that the angles on both sides are exactly the same.

Step 1: Find the measures of all the angles using the one we already know.

I will start with the angle adjacent (right next to) the angle that measures 107˚. As you can see, it is a supplementary angle because both of them form a straight line, or 180˚.

Therefore,

107+x= 180

x= 180-107

x= 73˚

Next, I will find the measure of the angle that is vertical to the one that measures 107˚. Note that angles that are vertical to each other are always identical, or in other words they have the same measure. Hence, the angle "vertical", or opposite to the one that measures 107˚ has to measure 107˚ as well.  You can also tell this is true because they look the same.

Now I'll find the measure of the angle vertical to the one that measures 73˚. As we know, vertical angles are identical, so the one vertical to it is 73˚.  

Here, I'll solve for angles 1 and 2. Like I said earlier, when a transversal crosses through 2 parallel lines, there will be 2 sets of angles that all have the same measurements.  

To solve for angle 1, simply know what angle is right below it, and that is the one that measures 107˚. (If you look at the 2 lines, you will see that both angle sets are essentially duplicates of each other.) Likewise, angle 2 has to be 73˚ because the one under it is also 73˚.

Angle 1: 107˚

Angle 2: 73˚

QUESTION 8:

Again, we have a transversal that passes through 2 parallel lines. One angle measures 95˚.  When there are 3 seperate angles along a straight line,  the one next to the one with the given measurement will be the same as that one.

So angle 3 is 95˚. To find angle 4, find the angle measurement that's vertical to angle 3, which is 95˚. Now, since that angle and angle 4 are supplementary (both form a straight line which is always 180˚), 95+x= 180.

(x stands for angle 4)

x+95= 180

x= 180-95

x= 85

Angle 4= 85˚.

QUESTION 9:

ANGLE 5: 49˚

When there is a transversal, there are 2 identical pairs of angles. Therefore, angle 5 must be 49˚.

ANGLE 6: 131˚

angle 5 and angle 6 form a straight line which means they are supplementary angles. Therefore, both angles must add up to 180˚. So 49+x= 180

x= 180-49= 131

(x stands for angle 6)

Hope this helps!! Also I worked pretty hard on this so brainliest would be appreciated :D

Practice problems if it helps :) : https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/parallel_lines_1

Answer:

4/9  and i think  (-5/6

Step-by-step explanation:

Answer:

I cannot see that can you write it My computer will not let me see any pictures

Step-by-step explanation:

Answer:

if you have a demos or a school calculator you can put in “ graph and tables “ then you can out in the alone numbers 5,6,7,8 into the left side and on the top put X. Next to that X put Y and put -10 on each, then go to a purple one the answer should be x=2.8 etc. + another number. That should be your answer in X if thats is what its asking.

For the second one it should be the same except you will be using Y.

Answer:

1/ 5^9

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

#7 is x = 51

#8 is x = 9

Step-by-step explanation:

#7 walk-through

35 + 2x + 16 + 4x + 3 = 360

35 + 16 + 3 + 2x + 4x = 360

54 + 6x = 360

6x = 306

x = 51

#8 walk-through

6x + 2 = 56

6x = 54

x = 9

Answer:

6

Step-by-step explanation:

3/4 of 801 is approx 600

   3/4 % of 801 would be this answer divided by 100 .... = 6

Answer:

The last answer or Distance a number is from zero

Step-by-step explanation:

It's this answer because absolute value is just how far a number is from zero for example | -1 | is equal to 1 because -1 is 1 away from zero. Hope this helps :)

Answer:

The last answer or Distance a number is from zero i think i dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of zero is nothing. Zero has no value. It is a number bigger than -1 but smaller than 1. It is hard to explain but there are numbers smaller than zero, like -1, -2, -3, -4, -5, -6 and so on into infinity.

Answer:0.24

Step-by-step explanation:

Answer:

0.24

Step-by-step explanation:

⅘% of 30

⅘ = 0.8

0.8% of 30

eg: 0.8 = x     30 = y

\(\frac{x*y}{100}\) (this is the formula for calculating the percentage of a number)

\(\frac{0.8*30}{100}\) = 0.24

\(A=\dfrac{m}{360}*\pi r^2\)

We're given:

Plug the given information into the equation and solve for m:

\(A=\dfrac{m}{360}*\pi r^2\\\\5=\dfrac{m}{360}*\pi (2)^2\\\\5=\dfrac{m}{360}*4\pi \\\\\dfrac{5}{4\pi}=\dfrac{m}{360}\\\\m=\dfrac{5*360}{4\pi}\\\\m=143.2\)

m = 143.2°

Answer:

m = 143.2 degrees.

Answer:  \(x=\frac{24}{5}\) , (decimal: x=4.8)

Step-by-step explanation:

\(7x-3\left(2x-9\right)=6x+3\)

\(7x-6x+27=6x+3\)

\(x+27=6x+3\)

\(x+27-27=6x+3-27\)

\(x=6x-24\)\(x-6x=6x-24-6x\)

\(-5x=-24\)

\(\frac{-5x}{-5}=\frac{-24}{-5}\)

\(x=\frac{24}{5}\)

Answer:

\(x=\frac{24}{5}\)

Step-by-step explanation:

\(7x-3\left(2x-9\right)=6x+3\)

Use the distributive property to multiply -3 by 2x-9:-

\(7x-6x+27=6x+3\)

Combine 7x and -6x to get x:-

\(x+27=6x+3\)

Subtract 6x from both sides:-

\(x+27-6x=3\)

Combine x and -6x to get -5x:-

\(-5x+27=3\)

Subtract 27 from both sides:-

\(-5x=3-27\)

\(-5x=-24\)

Divide both sides by -5:-

\(x=\frac{24}{5}\)

OAmalOHopeO

Answer:

x=14

Step-by-step explanation:

A to B = 1:2

so B is 2 times bigger than A

A = 9 so B is 18

18 - 4= 14

x = 14

Answer: +6

Step-by-step explanation:

0 - (-6)

= 0+6

= 6

Answer:

According to BODMAS / PEMDAS rule, the answer is 202.

Step-by-step explanation:

3 (63-12 )+94-32-13

=3(51)+94-32-13

=153+94-33-13

=202

Answer:

Step-by-step explanation:

7

Answer:

31.205?

Step-by-step explanation:

Answer:

31.205

Step-by-step explanation:

P=a+b+c=10.07+12.4+8.73≈31.205

\(Area=543\ cm^2\)

\(Circumference\ of\ the\ hub\ cap=82.58\ cm\)

\(2\pi r=82.58\)

\(r=82.58\ /\ 2\times 3.14\)

\(r=13.15\ cm\)

\(Area\ of\ this\ hub\ cap=\pi r^2\)

\(Area=3.14\times 13.15^2\)

\(Area=543\ cm^2\)

I hope this helps you

:)

Answer:

The best measure of center would be the median and its describes the greatest and lowest height.

Step-by-step explanation:

It would be the median because putting them all in a line and counting in helps to find the median but also since there is a space, you know that it automatically has to be the median and since there is that space it would have to be describing the greatest and lowest heights.

Answer:

\(\huge\boxed{\sf x = 16/9}\)

Step-by-step explanation:

\(\displaystyle \frac{x}{2} =\frac{8}{9} \\\\Cross \ Multiply\\\\x \times 9=2\times 8\\\\9x = 16\\\\Divide \ 9 \ to \ both \ sides\\\\x = 16/9\\\\\rule[225]{225}{2}\)

Answer:

Mean = 33.7

Median = 34.5

Mode = 34

Range = 33

After adding 26....

mean decreases by 0.7

median decreases by 0.5

mode is 34

range is 33

Step-by-step explanation:

mean = sum of all the data values/number of data values

= (18 + 19 + 20  + 34 + 34 + 35 + 37 + 42 + 47 + 51)/10
= 337/10
= 33.7

To find median arrange the values in increasing order, find the mid value

If the number of data points is even, find the average of the mid 2 data values

Arranging data values we get:
18, 19, 20, 34, 34, 35, 37, 42, 47, 51

Since there are 10 data values, take the average of the middle two:
(34 + 35)/2 = 34.5

The mode is the value that occurs most often. We see that there are two instances of 34 whereas the other values appear only once

Mode = 34

The range is highest - lowest = 51 - 18 = 33

After we add 26, we get the following data set arranged

18, 19, 20, 26, 34, 34, 35, 37, 42, 47, 51

we can calculate the stats using the same technique as above

We get the following values

mean = )(18 + 19 + 20 + 26 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/11
= 33  

median = 34

mode = 34

range = 51-18 = 33

To find the decrease in mean and median subtract from the first set of values

Answer: 4/7 is 40/70 and 7/10 is 49/70

Step-by-step explanation:

The equivalent fractions are 40/70 and 49/70 respectively.

A part of the whole is called a fraction. If there are 4 pieces in a pizza then 1/4 is a fraction denoting 1 slice of pizza.

The smallest number that is a common multiple to the denominator of two or more fractions is called the least common denominator.

Now, given fractions are 4/7 and 7/10, note that 70 is the smallest number that is a common multiple of 7 and 10, therefore, multiply the numerator and the denominator of the first fraction by 10 and the second fraction by 7.

Therefore, 4/7=40/70 and 7/10=49/70

To learn more about fractions click here:

https://brainly.com/question/10354322

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