Jason was given a triangle that had a side length of 10m and a hypotenuse of

15m. When he substituted these values into the Pythagorean Theorem, he got 102 + 152 = c2

.

Part A. Find Jason’s mistake and explain it.


Part B. Solve for the missing length, show your mathematical thinking, and justify your answer.

Answer:

y + 1 = 3(x - 8)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b ) = (8, - 1 ) , then

y - (- 1) = 3(x - 8) , that is

y + 1 = 3(x - 8)

Answer:

Number of chairs = 24

Number of stools = 12

As about the question number 2, I think you should check whether the question you copied is correct are not.

Step-by-step explanation:

1. One person,

Three hours for a chair and two hours for a stool

Therefore, 12 people working for 8 hours;

Per person produced two chairs and one stool as 3+3+2=8 hours

12×2= 24 chairs and 12×1=12 stools.

Answer:

Answer: Using Probability to Increase the Odds of success

Format of my answer:

[Problem letter] Parallel Lines

- Converse / Reason

!! I am not sure which / what converses you are using, but I gave the reasoning for it. If you see something similar, use the converses you know !!

[a] j & k

- If two lines intersected by a  transversal form congruent alternate interior angles, then the lines are parallel

[b] m & n

- If angles are supplementary in this placement, the lines are parallel

[c] l & n

- If angles are equal when they are corresponding, the lines are parallel

[d] l & m

- If two angles that are congruent are vertical, the lines are parallel

[e] j & k

- If two lines intersected by a  transversal form congruent corresponding angles, then the lines are parallel

[f] l & n

- If angles are supplementary in this placement, the lines are parallel

[g] l & n

- If two angles that are congruent are vertical, the lines are parallel

[h] -------

[i] l & n

- If two angles that are congruent are vertical, the lines are parallel

[j] -------

[k] -------

[l] j & k

- If two lines intersected by a  transversal form congruent corresponding angles, then the lines are parallel

[m] -------

[n] j & k

- If angles are supplementary in this placement, the lines are parallel

[o] -------

-> See attached for more information

Have a nice day! - hopefully these are mostly correct, been awhile since I've done this

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

The spread values are closer to the spread values of Manuel’s data set.

The data set is approximately symmetric.

The data set is skewed left.

Step-by-step explanation:

i got it right.

The true statements bout Gretchen's adjusted data set are (1), (4), and (5).

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.

It is given that:

Which statements are true about Gretchen's adjusted data set:

The options are:

As we know,

The spread values are more similar to Manuel's data set's spread values, and the data set is roughly symmetric and tilted to the left.

The true statements are:

Thus, the true statements bout Gretchen's adjusted data set are (1), (4), and (5).

Learn more about the statistics here:

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Answer:

21

Step-by-step explanation:

when p is 4

p² + 5 = 4² + 5

16 + 5 = 21

Answer:

[tex]\frac{\sqrt[4]{15} }{16}[/tex]

Step-by-step explanation:

You cannot leave a radical in the denominator, so the first step is to get rid of it. The way you do that is by multiplying the radical in the denominator by itself over itself because anything over itself is equal to 1. So, for example in this problem:

[tex]\frac{\sqrt{15}}{\sqrt{16} } *\frac{\sqrt{16}}{\sqrt{16} }[/tex]

From here you multiply straight across. The numerator will be equal to [tex]\sqrt{240}[/tex] and the denominator will be 16 because any radical multiplied by itself cancels the radical out and just equals the number inside of the radical. The last step is to simplify the numerator. You do this by finding factors of 240 which are:

You want to use the greatest factor you have so you can break it down easier which in your case is (15 * 16). From here you simplify each of those numbers until you have a duplicate of something. The greatest factor of 15 is 3 * 5, so that won't simplify because there are no duplicate numbers. The greatest factor of 16 is 4 * 4 which means that it will simplify. When you are simplifying the duplicate (4) always goes outside of the radical and the non-duplicate (15) always goes on the inside of the radical. Your answer should look like this:

[tex]\frac{\sqrt[4]{15} }{16}[/tex]

Answer:

1/4

Step-by-step explanation:

Divide both the numerator and denominator by the GCD 9 ÷ 9

36 ÷ 9

Reduced fraction: 1/4 Therefore, 9/36 simplified to lowest terms is 1/4.

Answer:

(0,5)x3=(15,5)

Step-by-step explanation:

Answer:

50 ?

Step-by-step explanation:

You didn't give any detail about how many beads it takes to make one bracelet

Answer:

30 31 33 are the three integer consective

Answer:

it only changes the magnitude.

for any general a let f(x) be =a|x| , a>0

so for any x say ±3 your function will throw out a×3.

Answer:

a) Draw a line horizontally on 4 on the y axis

b)x=2,y=3

Answer:

$4.99

Step-by-step explanation:

$54.99-$50.00=$4.99

Answer:

Step-by-step explanation:

cake: $54.99

sally money: $50.00

54.99-50= $4.99 lol

Answer:

(p.s area is [tex]a[/tex])

To find the area of a rectangular prism you multiply [tex]l*w*h[/tex]

So then we multiply [tex]4*2*3[/tex] to get 24 the answer is

[tex]a=24[/tex]

brainliest pls

Answer:

1

3  maybe

Step-by-step explanation:

Answer:

3.6? I don't really know

Answer:

Step-by-step explanation:

According the table, the yearly amount increases by 100 dollars in option 1 and 1.1 times in option 2.

It means the function is linear in option 1 and exponential in option 2.

Calculate the amount of total value in each case substituting x or d by 7 and compare the amounts:

As we see the option 2 is better choice and the difference is:

Answer:

Angels D and G

Step-by-step explanation:

Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles. Although in this case angels D and G dont have opposite angels so in this cade their is only 2 alternate exterior angels.

I hope this helps have a great day and happy holidays  (｢•-•)｢

Answer:

∠D and ∠G

Step-by-step explanation:

Think about what alternate exterior angles are:

Putting these two elements together, we can clearly see the alternate exterior angles are ∠D and ∠G.

Answer:

21.8

Step-by-step explanation:

Answer:

The corresponding height of the triangle is [tex]1.2[/tex]

Step-by-step explanation:

We have[tex]\Delta ABC[/tex]

Here [tex]AD[/tex] is the height

We need to draw perpendicular from [tex]A[/tex] to [tex]BC[/tex]

The distance from the point [tex](m, n)[/tex] to the line [tex]A x+B y+C=0[/tex] is given by:

[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}[/tex]

First let us calculate equation of [tex]BC[/tex]

[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{2--1}{3--1} (x-3)\\\\y-2=\frac{3}{4} (x-3)\\\\4y-8=3x-9\\\\3x-4y=1[/tex]

Now distance from [tex](-1,1)[/tex] to [tex]3x-4y-1=0[/tex] is

[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}\\\\=\frac{|3 \times1+-4\times-1-1|}{\sqrt{3^{2}+(-4)^{2}}}\\\\=\frac{6}{5}\\\\=1.2[/tex]

Answer:

sorry i dont under stand it either would it be ok if i repost this

Answer:

t<28 Tia ran the race under 28 seconds

t>28 The temperature is warmer than 28°F

t<29 Tony is younger than 29 years old

t>29 The table is heavier than 29 kilograms

Step-by-step explanation:

the first sentence does not apply

Hope this helps

Answer:

1. 4/2

2. -3/5

3. 2/2

4. undefined

5. -5/1

6. zero

7. -4/5

8. 1

9. 0

10. 3/4

11. undefined

12. -9/4

The required slope for the lines is given below.

Given that,
Pot of line and points on the lines are given, we have to determine the slopes of the lines.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Slopes of the line can be given as,
m = [y₂ - y₁ ] / [x₂ - x₁]
for points, (-1, -11), (-6, -7)
m = -7 + 11 / -6 + 1
m = -4/5

Similarly,
Slopes of the line can be calculated as
1.) 4/2  2.) -3/5  3.) 2/2
4.) not defined because the denominator becomes zero or perpendicular to x-axis.
5.) -5/1
6.) zero  because the line is parallel to the x-axis
7.) -4/5      8.) 1   9.) 0  10.) 3/4
11.) not defined because the denominator becomes zero or perpendicular to the x-axis.
12.) -9/4

Thus, the required slope for the lines is given above.

Learn more about slopes here:
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Using the mean concept, it is found that the inequality can be used to  represent the number of miles, x, Jaime could bicycle  on the 4th week to meet his goal is:

[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]

The mean of a data-set is the sum of all observations divided by the number of observations.

In this problem:

Hence, the mean is:

[tex]M = \frac{240 + 310 + 320 + x}{4}[/tex]

His goal is to  bicycle an average of at least 280 miles per week for  4 weeks, hence:

[tex]M \geq 280[/tex]

[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]

To learn more about the mean concept, you can take a look at https://brainly.com/question/13451786

Answer:

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .

Answer:

Bilemedim fotoğrafını çeksen daha iyi olur kankacim çok güzel birisin

There are 2.6 pounds of flour.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

The recipe calls for 1.2 kilograms of flour.

Now,

Since, The recipe calls for 1.2 kilograms of flour.

We know that;

⇒ 1 kg = 2.2 pounds

So, 1.2 kg = 1.2 × 2.2 pounds

               = 2.6 pounds

Thus, There are 2.6 pounds of flour.

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[tex]\frac{-8(7-\sqrt{2)} }{47}[/tex]

The value of the expression (6¾) × -11.5 is; -77⅝

We want to find the value of;

(6¾) × -11.5

Let us change 6¾ to improper fraction to get;

27/4

Also,let's change -11.5 to an improper fraction to get; -115/10

Thus;

(6¾) × -11.5 = 27/4 × -115/10

>> (-115 × 27)/(40)

>> 3105/40

>> -77⅝

Read more about simplification of fraction at; https://brainly.com/question/15225407

The only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"

This question bothers on place values.

Given the decimal value 89.033, the place value of the blue 3 on the left is the hundredth place (1/100) while the place value of the orange 3 is in the thousandth place(1/1000).

We need to check which of the statement is correct.

For the first option, the blue 3 on the left is 300 times the value of the orange 3 on the right;

Since 0.01≠0.3, hence the first option is wrong

For the second option, the blue 3 on the left is 100 times the value of the orange 3 on the right;

0.01≠0.1, hence the second option is wrong.

The blue 3 on the left is equivalent to the orange 3 on the right is also wrong since they are positioned in a different place

The orange 3 on the right is 1/10 of the value of the blue 3 on the left, is expressed as;

Hence the only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"

Learn more on place values here: https://brainly.com/question/627658