MATHEMATICS COLLEGE

HELP!!! find the value of x

Answers

Answer 1

Answer:

Answer:

don't know

.....................

Answer 2

Answer:

Answer:

x = 12

Step-by-step explanation:

Consider three orthogonal triangles (see picture)

1. The smallest triangle

2. The medium triangle

3. The big triangle that holds both triangles.

All are orthogonal (or right triangles) so you can use Pythagoras Theorem:

"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"

Use Pythagoras theorem on triangle 1.

$a^(2) = 3^(2) + 6^(2) = 45$

Now user Pythagoras on triangle 2.

$b^(2) = x^(2) + 6^(2) = x^(2) + 36$

Now use Pythagoras on triangle 3 (the big triangle).

$(3 + x )^(2) = a^(2) + b^(2)\nx^(2) + 6x + 9 = a^(2) + b^(2)$

Now replace the values for $a^(2)$ and $b^(2)$ from the two equations derived from triangle 1 and 2:

$x^(2) + 6x + 9 = 45 + x^(2) + 36$

The two $x^(2)$ get cancelled out, so:

$6x + 9 = 45 + 36\nx = 12$

TA DA!

Related Questions

Of the last 100 customers entering a computer shop, 25 have purchased a computer. If the relative frequency method for computing probability is used, the probability that the next customer will purchase a computer is
Krutika was thinking of a number. Krutika doubles it and gets an answer of 26.5. What was the original number?
A quadrilateral has angles that measure 44°, 89°, and 127°. What is the measure of the fourth angle?
5) if john climbs 30 steps up, then 15 steps down. how many steps did he take?
A survey of 1000 young adults nationwide found that among adults aged 18-29, 35% of women and 30% of men had tattoos. Suppose that these percentages are based on random samples of 500 women and 500 men. Using a 2.5% level of significance, can you conclude that among adults aged 18-29, the proportion of all women who have tattoos exceeds the proportion of all men who have tattoos?

Find the scale factor of the line segment dilation. AB: endpoints (-6, -3) and (-3,-9) to A'B': endpoints at (-2, -1) and (-1, -3). A) -1/3 B) 1/3 C) 3D) -3

Answers

we know that the endpoints of AB are

$\begin{gathered} (x_1,y_1)=\mleft(-6,-3\mright) \n (x_2,y_2)=(-3,-9) \end{gathered}$

and the distance formula is given by

$d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$

By substituying these points, we have that

$d=\sqrt[]{(-3-(-6))^2+(-9-(-3))^2}$

which is equal to

$\begin{gathered} d=\sqrt[]{(-3+6)^2+(-9+3)^2} \n d=\sqrt[]{3^2+(-6)^2} \end{gathered}$

then

$\begin{gathered} d=\sqrt[]{9+36} \n d=\sqrt[]{45} \n d=\sqrt[]{9\cdot5} \n d=\sqrt[]{9}\cdot\sqrt[]{5} \n d=3\sqrt[]{5}\ldots..(A) \end{gathered}$

On the other hand, if

$\begin{gathered} (x_1,y_1)=(-2,-1) \n (x_2,y_2)=(-1,-3) \end{gathered}$

similarly to the previous case, the distance between the endpoint for A'B' is

$d=\sqrt[]{(-1-(-2))^2+(-3-(-1))^2}$

which is equal to

$\begin{gathered} d=\sqrt[]{(-1+2)^2+(-3+1)^2} \n d=\sqrt[]{1^2+(-2)^2} \n d=\sqrt[]{1+4} \n d=\sqrt[]{5}\ldots..(B) \end{gathered}$

Now, by comparing equation A and equation B, we can see that, the scale factor is 1/3.

Then, the answer is B.

A group of 12 students is deciding whether to go to the science center or the zoo. Science center tickets are 3 for $36.75 and zoo tickets are 4 for $51.How much will a group of 12 students save by choosing the science center?
Enter your answer in the box.

Answers

The group of 12 students will save$6by visiting the science center instead of the Zoo.

Science center fee :

3 tickets = $36.75

Total cost of visiting Science center = (12/3) × 36.75 = $147

Zoo Fee :

4 tickets = $51

Total cost of visiting Zoo = (12/4) × 51 = $153

The difference in the total amount spent :

Total cost of Zoo - Total cost of Science center

$153 - $147 = $6

Therefore, the group will save $6 by visiting the science center.

Learn more : brainly.com/question/18109354

ANSWER:

ExPLANATION:

Step 1:

36.75 × 4 = 147

Step 2:

51 × 3 = 153

Step 3:

153 - 147 = 6

If leah has 22 boxes she gives 12 boxes to her mom how many boxes does leah have left

Answers

Subtract the amount she gives her mom from the total amount she has:

22 - 12 = 10

She has 10 boxes left.

In rectangle KLMN, KM = 9x+26 and LN = 84.5. Find the value of x.

Answers

Answer:

x = 6.5

Step-by-step explanation:

square is rectangle

9x+26 = 84.5

84.5 - 26 = 58.5

9x = 58.5

x = 58.5 divided by 9

x = 6.5

5628763672÷7727467828

Answers

0.72840984877 is the answer :)

Define the first law of thermodynamic with one example.

Answers

Answer:

See explanation below.

Step-by-step explanation:

The first law of thermodynamic states that heat is a form of energy, and as such, is subject to the principle of conservation of energy (Energy is not destroyed or created but remains constant)

For example, when you put an ice cube in water, the ice will melt but the water will get colder, this is because the temperature between the ice cube and the water tends to an equilibrium and the total heat in the system remained the same during this time.

Other Questions

The difference between a number x and 12 is 16?

The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. Find the length of the segment determined by the points of intersection between the line and the other two sides of the triangle

Suppose you are asked to choose a whole number between 1 and 13, inclusive. (a) What is the probability that it is odd? (b) What is the probability that it is even? (c) What is the probability that it is a multiple of 3?

Suppose the results indicate that the null hypothesis should be rejected; thus, it is possible that a type I error has been committed. Given the type of error made in this situation, what could researchers do to reduce the risk of this error? Increase the sample size. Choose a 0.01 significance level instead of a 0.05 significance level.