solve the following equation ​

Answer:

Step-by-step explanation:

These problems are based on triangle ratios. You cannot use the Pythagorean theorem to solve them.

The first triangle is a 45 45 90 degree triangle (I'm talking about the angles), and so, the ratio is 1:1:[tex]\sqrt{2\\}[/tex], so I have to divide the hypotenuse by [tex]\sqrt{2\\}[/tex] to get the legs. The hypotenuse is 15[tex]\sqrt{6}[/tex], so that divided by [tex]\sqrt{2\\}[/tex] is 15[tex]\sqrt{3\\}[/tex]. X is the same length as y because of the triangle ratio, so both x and y for the first triangle are 15[tex]\sqrt{3\\}[/tex].

The second triangle is a 30 60 90 degree triangle, so the ratio is x:x[tex]\sqrt{3}[/tex]:2x. The short leg is 7[tex]\sqrt{3}[/tex], so 7[tex]\sqrt{3}[/tex] * 2 is the hypotenuse, which is 14[tex]\sqrt{3}[/tex]. The long leg is 7[tex]\sqrt{3}[/tex] * [tex]\sqrt{3}[/tex], which is 21. So, x for the second triangle is 14[tex]\sqrt{3}[/tex], and y for the second triangle is 21.

Answer:

Question 9: x = [tex]15\sqrt{3}[/tex], Question 10: y = [tex]15\sqrt{3}[/tex], Question 11: x = [tex]14\sqrt{3}[/tex], Question 12: y = 21

Step-by-step explanation:

Question 9-10: Right triangles with 45°, 45°, 90° have a special rule, the legs of the triangle are equal, so x = y. Now you can form the statement [tex]2x^2 = 1350[/tex], and because x = [tex]15\sqrt{3}[/tex], so does y.

Question 11-12: Right triangles with 30°, 60°, 90° also have a special rule, the side corresponding to 30° is half the length of the hypotenuse and the side corresponding to 60° is [tex]\sqrt{3}[/tex] times as great as the 60°. x is 2 times as big as [tex]7\sqrt{3}[/tex], so its length is [tex]14\sqrt{3}[/tex]. Y is [tex]\sqrt{3}[/tex] as great as [tex]7\sqrt{3}[/tex], so its length is 21.

Answer:

How can we make our country an ideal country?

Answer:

70 degrees

Step-by-step explanation:

In the parallelogram  KLMN, the sum of the adjacent angle is 180 degrees

Hence;

m<K + m<L = 180

110 + m<L = 180

m<L = 180-110

m<L = 70degrees

Hence the measure of m<l is 70 degrees

Answer: She can read 1.2 chapters of her book in one hour.

Step-by-step explanation:

When we have a relation of: "doing something" in a given "amount of time"

The rate at which you can do that activity per unit of time is:

R = (how much you did)/(time it took)

In this case, we know that

"Tory reads 4/5 of a chapter in 2/3 of an hour"

Then the rate, in this case, could be calculated as:

R = (4/5 chapters)/(2/3 hour) = 1.2 chapter per hour.

This means she can read 1.2 chapters of her book in one hour.

Answer:

y=(y\x - 10j\x) x+j•10

Step-by-step explanation:

its up there

Answer:

50000. easy

Step-by-step explanation:

Answer:

50000

Step-by-step explanation:

Answer:

3 and 6

Step-by-step explanation:

can i get brainliest please? thanks!

hope this helps!

Answer:

B

Step-by-step explanation:

I hope this helped, please do tell me if the answer is wrong I will fix it with explanation check!

Answer:

Step-by-step explanation:

2x - 2 = x

Bringing like terms on one side

2x - x = 2

x = 2

Answer:

I'm assuming you meant to put (-x) instead of (x-)

x = 2/3

Answer:

108ft²

Step-by-step explanation:

I took the test.

Answer:

[tex]\frac{dy}{dt}[/tex] = 8

Step-by-step explanation:

Given:

x = x(t) and y = y(t)

Let y = x² + 6

By differentiating the given equation with respect to t,

[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2}+6)[/tex]

[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2})+\frac{d}{dt}(6)[/tex]

Since, [tex]\frac{dx}{dt}=4[/tex] when x = 1

[tex]\frac{dy}{dt}=2x\frac{dx}{dt}+\frac{d}{dt}(6)[/tex]

[tex]\frac{dy}{dt}=2(1)(4)+0[/tex] [By substituting the values of [tex]\frac{dx}{dt}[/tex] and x = 1]

[tex]\frac{dy}{dt}[/tex] = 8

Answer:

Step-by-step explanation:

Uh

Answer:

Time: 1, 16, 30, 40

Distance: 5/8, 10, 18 3/4, 25

Step-by-step explanation:

hope this helped

Answer:

even I think

Step-by-step explanation:

Answer:

Neither

Step-by-step explanation:

If f (–x) = f (x), then the function is even. if f (–x) = –f (x), (all the signs are flipped) the it is odd.

To apply this to the function here, simply replace the x in [tex](x-2)^{2}[/tex] with -x.

[tex](x-2)^{2}[/tex] = [tex]x^{2}[/tex] - 4x + 4, and [tex](-x - 2)^{2}[/tex] = [tex]x^{2}[/tex] +4x + 4.

Since [tex]x^{2}[/tex]+4x + 4 doesnt equal [tex]x^{2}[/tex] - 4x + 4 (even) or [tex]-x^{2}[/tex]+4x -4 (odd), the function is neither even nor odd.

Answer:

We know that that x represents (1)

2/5 is the answer because if you add, multiply them together you will get 2/5=40/100%

Hope this helps

Mark As Brainllest

Answer:

C. 2/7

Step-by-step explanation:

When two pink marbles are taken without replacement then the total number of marbles in the bag are reduced to 21 marbles. So the blue marble, which are currently in total 6 marbles, is taken out of the total of 21 marbles. The calculation of which is done as below:

Probability of Next Marble to be blue

= Blue Marble / Total Marbles in the bag

= 6 / 21

= 2 / 7

Hence, the correct option is C. 2/7

Answer:

B. 336. 38

Step-by-step explanation:

So, what you want to do is multiply the original price ($299) by the first markup percentage (150%)

299*1.50= $448.50

that is your markup price!

then you have to do the sale % (25%)

so you'll multiply your (25%) by your new price ($448.50)

448.50*.25= $112. 125

THIS IS NOT YOUR ANSWER!

don't forget that!

you will then subtract the sale price ($112.125) by the upcharged price ($448.50)

448.50-112.125= 336. 375

Round up then there is your answer!

= $336. 38

hope this helps!!

Step-by-step explanation:

Hopefully I'm right,but what you do is add the ones with variables together so

Question 15

so 3a+3a= 6a and 7+2=9

so you have to add the ones that are similar but never add

37. 5x-2y

38. -3a+2b

Answer:

Answer is 5n+2

Step-by-step explanation:

I hope it's helpful!

Answer:

I believe the answer is A) -tan 20°

Step-by-step explanation:

Answer:

tan(-20°) =A. -tan 20°

since angle is positive at only cos -∅ and sec-∅

Answer:

[tex] \large \boxed{y = 7x + 12}[/tex]

Step-by-step explanation:

Goal

Given

Step 1

[tex] \large{m = \frac{y_2-y_1}{x_2-x_1}}[/tex]

Substitute the coordinate points in the formula.

[tex]m = \frac{12 - ( - 16)}{0 - ( - 4)} \\ m = \frac{12 + 16}{0 + 4} \\ m = \frac{28}{4} \longrightarrow \frac{7}{1} \\ m = 7[/tex]

Step 2

[tex] \large{y = mx + b}[/tex]

Substitute m = 7.

[tex]y = 7x + b[/tex]

Step 3

Substituting any given coordinate points will give the same solution.

Step 3.1

[tex]y = 7x + b \\ 12 = 7(0) + b \\ 12 = 0 + b \\ 12 = b[/tex]

Step 3.2

[tex]y = 7x + b \\ - 16 = 7( - 4) + b \\ - 16 = - 28 + b \\ - 16 + 28 = b \\ 12 = b[/tex]

Step 4

[tex]y = 7x + b[/tex]

Substitute b = 12.

[tex]y = 7x + 12[/tex]

Hence, the solution is y = 7x+12.

Hope this helps! Any questions about my answer can be asked in comments.

~ Vectør ~

Answer:

the answer is tbbhrbt t done.

Step-by-step explanation:

Answer:

45 degrees

Step-by-step explanation:

if <9 and <10 are corresponding, it means they are equal i.e <9 = <10

Since <9 and <10 are also complementary angles, their sum will be 90 degrees

<9+<10 = 90

<9 + <9 = 90

2m<9 = 90

m<2 = 90/2

m<2 = 45 degrees

Hence the measure of angle 9 is 45 degrees

9514 1404 393

Answer:

  D.  17

Step-by-step explanation:

The sum of the exterior angles of a polygon is 360°.

  x° +2x° +120° +3x° +18° +120° = 360°

  6x +258 = 360 . . . . . . . collect terms, divide by °

  6x = 102 . . . . . . . . . subtract 258

  x = 17 . . . . . . . . divide by 6

Answer: y = 4

Step-by-step explanation:

Slope m = 0

y intercept = 4

equation = y = 0x + 4 or just y = 4

Answer:

m= 0

y intercept= 4

Equation= Y=0x+4

Step-by-step explanation:

Answer:

x=6 or x=0

Step-by-step explanation:

[tex]5 |x - 3| = 15[/tex]

[tex] |x - 3| = 3[/tex]

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

or

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

Answer:

G is 35.

Step-by-step explanation:

You can make the equation 93 = g + 58. In order to find the variable g, you have to isolate it. So you can subtract 93 by 58 and you get 35. To double check your work, just plug in your answer in g.

93 = 35 + 58

93 = 93 ✔️

The answer is 35.

Answer:

23

Step-by-step explanation:

Answer:

13% per pair of shoes

because if she 78% on 6 shoes you would divide 78 by 6 to find the percent she spent on one pair of shoes