1, Is this triangle a right triangle? Explain.
Triangle. Left side labeled 10. Bottom side labeled 25. Diagonal labeled 26.
2. Is this triangle a right triangle? Explain

3. Find the missing side of the above triangle. Show your work. If you use a shortcut,
explain your reasoning

Answer:

-3 1/24

Step-by-step explanation:

First, find common denominators. The denominator needed for both of the fractions is 24.

Multiply the numerator by the amount you multiplied to get your denominator to 24.

-21/24 - 2 4/24

Second, subtract both of your fractions:

-21/24 - 2 4/24

= -3 1/24

-3 1/24 is your answer in simplest form.

Answer:

y=-x-1

Step-by-step explanation:

5/5=1

rise/run = slope

Answer:

the slope is 1 m=1

Step-by-step explanation:

Algebraic expressions are expressions that are represented with numbers and variables

Represent the number of boxes with x, and the combined expression with y

The individual expressions are:

The combined expression becomes:

[tex]y = 6x + 7 + 2x - 5 + 10x + 1[/tex]

Collect like terms

[tex]y = 6x + 2x + 10x+ 7- 5 + 1[/tex]

[tex]y = 18x+ 3[/tex]

Hence, the combined expression is 18x + 3

Recall that the simplified expression is:

[tex]y = 18x+ 3[/tex]

Factor out 3

[tex]y = 3(6x+ 1)[/tex]

Hence, the factored expression is 3(6x + 1)

In (b), we have:

[tex]y = 3(6x+ 1)[/tex]

Substitute 5 for x

[tex]y = 3(6 \times 5+ 1)[/tex]

Evaluate the product

[tex]y = 3(30+ 1)[/tex]

Evaluate the sum

[tex]y = 3(31)[/tex]

So, we have:

[tex]y = 93[/tex]

Hence, the toy store sold 93 accessories

Read more about algebraic expressions at:

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Answer:

3(6x – 9y – 2)

Step-by-step explanation:

18x – 27y – 6

3(6x – 9y – 2)

Answer:

64

Step-by-step explanation:

Use  [tex](x^a)^b=x^{ab}[/tex]

So [tex]512^{\frac{2}{3}}=(512^\frac{1}{3})^2 =8^2=64[/tex]

Answer:

$562.5

Step-by-step explanation:

1250*45%= 562.5     o      1250*45/100=562.5

el 100 representa el %

Answer: 4 m

Step-by-step explanation:

Volume = length x width x height

240 = b x 7.5 x 8

240 divided by 7.5 is 32, and 32 divided by 8 is 4, so:

4 = b

I hope this helps!

Answer:

The x coordinate of the solution is 6.

Step-by-step explanation:

(x, y) = (6, -5)

-5y + 4x = 49

7y + 2x = -23

Answer:

Yes

Step-by-step explanation:

Draw a vertical line on the x value of 1/4

It's just  a straight line upwards

Hope you could understand.

If you have any query, feel free to ask.

Answer:

C

Step-by-step explanation:

Answer:

47°

Step-by-step explanation:

The sum of the interior angles of a triangle = 180°

Therefore,  x = 180 - 48 - 85 = 47°

Answer:

47

Step-by-step explanation:

reason being the interior of a triangle is 180

so if you take 180 - 48 - 85

leaves u wit 47

hope this helps!!!

Answer:

54.4π cm²

Step-by-step explanation:

[tex]C=2\pi r[/tex]

[tex]C=2\pi(27.2)[/tex]

[tex]C=54.4\pi[/tex]

Therefore, the circumference of the circle is 54.4π cm²

Answer:

C≈170.9cm

Step-by-step explanation:

Answer:

Vertices of the enlarged triangle:

Step-by-step explanation:

When a shape is enlarged by a negative scale factor, the enlargement takes place in the opposite direction from the center of enlargement on the same straight line containing the center and the pre-image point.  

The enlargement produces:

Given:

Label the vertices of the pre-image triangle:

Plot the center of enlargement at (4, 6).  

Draw lines from each vertex of the triangle to the center of enlargement.

Extend the lines past the center enlargement, making them twice the length since the scale factor is 2.

Therefore, the vertices of the enlarged triangle A'B'C' are:

Answer:

7,000.

Step-by-step explanation:

Subtract 8,747 - 2,199. This equals 6,628. Look at the hundreds place. It's greater than 4 so round up. You will get 7,000.

Answer:

7000

Step-by-step explanation:

because i know........

Answer:

hope this helps :>

The volume of the pool is 1.74*10^8 cubic meters

To solve this problem, we convert the volume of the water from gallons to m^3.

This is done to convert one unit of a substance to another unit of that particular substance. In this question, we are converting from gallon - meter cube

Data;

let's solve for v

[tex]1gallon = 264.17m^3\\ 6.60*10^5 gallon = x[/tex]

cross multiply both sides and solve for the volume in cubic meters

[tex]x = 6.60*10^5 * 264.17\\ x = 174352200\\ x = 174.352*10^6m^3 = 1.74*10^8m^3[/tex]

The volume of the pool is 1.74*10^8 cubic meters

Learn more on conversion of unit here;

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Answer:

$698.60

Step-by-step explanation:

What you would do is [tex]499*.40=199.60\\[/tex]

Then you would take [tex]499+199.6= 698.60[/tex]

That would then be your final answer

You can use linear equations and then can solve that system of linear equations to find the number of each type of coin Julio has got in the given condition.

The number of coin that Julio got in his pocket for each type are given as

Number of nickles = 12

Number of dimes = 14

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on  methods can be used to convert description to mathematical expressions.

Let Julio has got x amount of nickels and got y amount of dimes in his pocket. Then by the given description, we have got;

Number of dimes = twice the number of nickle - 10

[tex]y = 2x -10[/tex]

Total amount in his pocket = $2.75

Total amount = amount by x nickles and amount by y dimes

[tex]2.75 = x \times 0.05 + y \times 0.1[/tex] (since one nickle = $0.05, and one dime  = $0.1)

Thus, we got system of linear equations for given condition as:

[tex]y = 2x - 10\\0.05x + 0.1y = 2.75[/tex]

Substituting value of y from first equation in the second equation, we get:

[tex]0.05x + 0.1(2x-10) = 2.75\\0.05x + 0.2x - 1 = 2.75\\0.25x = 3.75\\\\x = \dfrac{3.75}{0.25} = 12[/tex]

Thus, there are 12 nickles in Julio's pocket

Putting this value in first equation, we get:

[tex]y = 2x - 10\\y = 2 \times 12 - 10\\y = 24 - 10 = 14[/tex]

Thus,

The number of coin that Julio got in his pocket for each type are given as

Number of nickles = 12

Number of dimes = 14

Learn more about linear equations here:

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Answer: 3 hours

Step-by-step explanation: 65x4=260 455-260=195 195/65=3

The time taken by Jacob's family on the second day will be 3 hours.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

The time is calculated as:-

For 4 hours of driving at an average speed of 65 miles per hour, the distance covered is,

d = 65 x 4 = 260 miles

Miles remaining for the second day is,

455 - 260 = 195 miles

Time taken to cover 195 miles second day is,

T = 195 / 65 = 3 hours

Therefore, the time taken by Jacob's family will be 3 hours.

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Answer:

d = 288

Step-by-step explanation:

Answer:

d = 24

Step-by-step explanation:

hope this helps!!!

Answer:

m∠S=116º

Step-by-step explanation:

What we know)

∠V=64º

Opposite interior angles in a parrelogram are the same

The sum of the interior angles of a quadrilateral is 360º

What we can figure out)

∠T is opposite ∠V

So, ∠T=∠V=64

360º-64º-64º=∠S+∠U

232º=∠S+∠U

∠S is opposite ∠U

So, ∠S=∠U=232/2

232/2=116

∠S=116º

The table you provided is kinda hard to read but I'll try to answer this. This question requires three steps.

1) find the total # of students.

[tex]= 42 + 84+58+41+20+5\\=250\ students\ in\ total[/tex]

2) find how many chose soccer as their favourite sport.

[tex]=58+41\\=99\ students[/tex]

3) divide # of student who chose soccer by the total # of students then multiply by 100.

[tex]=\frac{99}{250}\ x\ 100[/tex]

= 39.6% of students chose soccer as their favourite sport.

*remember, this on the basis that I read the table correctly...

39.6% of students chose soccer as their favourite sport.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

The table you provided is kinda hard to read but I'll try to answer this. This question requires three steps.

1) find the total number of students.

= 42 + 84 + 58 + 41 + 20 + 5

= 250 students.

2) find how many chose soccer as their favourite sport.

= 58 + 41 = 99

3) divide the number of students who chose soccer by the total number of students then multiply by 100.

[tex]=\dfrac{99}{250}\times 100[/tex]

= 39.6%

= 39.6% of students chose soccer as their favourite sport.

To know more about percentages follow

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Answer:

5e-5

Explanation:

How do you convert mm to KM?

The method to convert millimeters to kilometers is very simple. Simple way to do mm to km conversion is by dividing the millimeters value by 1000000

.............I hope this helps! ...................

Answer:

15(6x - 1)

Step-by-step explanation:

90x – 15

15(6x - 1)      [Distributive property]

Answer:

It’s equivalent.

Step-by-step explanation:

Collect like terms: 4x+12 = 4(3+x)

Expand brackets: 4x+12 = 12+4x

Rearrange: 4x+12 = 4x+12