Give each trig ratio as a fraction in simplest form. First find the measure of the missing side using Pythagorean Theorem a2 + b2 = c2

As it is written this question isn't very clear, and I'm not positive that the entire thing can be answered. I don't know where point R is. Is there a picture that goes with this problem? If so, maybe that would make it more clear. What I can do is show you how to solve for x. While I don't believe this is the final answer, I believe it is a step toward the right answer. We know what ray QS bisects angle PQT. If you draw out angle PQT and ray QS you can see that angle PQS is congruent to angle SQT. Because of the definition of angle bisector. This also means that angle SQT is half of PQT. Because of this we know that we can set the measure of PQT equal to 2 times the measure of SQT. So we can set up and solve the following equation as such:

2(8x-25) = 9x +34

16x - 50 = 9x +34

7x -50 = 34

7x = 84

x = 12

Again I this doesn't seem to be your final answer. To find the answer the measures of each angle you're going to want to plug 12 in for x for one of the angles. So I'll do it for angle SQT.

8(12) - 25

96 -25

71

So the measure of angle SQT should be 71. Therefore since QS bisects PQR, the measure of angle PQS should also be 71. The measure of PQT should be double that which makes it 142. I'm not positive that this is all the problem is looking for, but I think that's most of it. Hope this helps!

Using simple interest, it is found that:

Simple interest is used when there is a single compounding per time period.

The interest after t years in is modeled by:

[tex]I(t) = Prt[/tex]

In which:

In this problem:

Then:

[tex]I_1 = 0.07P_1[/tex]

[tex]I_2 = 0.08P_2[/tex]

Considering [tex]P_1 + P_2 = 10000 \rightarrow P_2 = 10000 - P_1[/tex]:

[tex]I_2 = 0.08(10000 - P_1)[/tex]

Considering [tex]I_1 + I_2 = 780 \rightarrow I_2 = 780 - I_1[/tex]:

[tex]780 - I_1 = 0.08(10000 - P_1)[/tex]

Considering [tex]I_1 = 0.07P_1[/tex]:

[tex]780 - I_1 = 0.08(10000 - P_1)[/tex]

[tex]780 - 0.07P_1 = 0.08(10000 - P_1)[/tex]

[tex]0.01P_1 = 20[/tex]

[tex]P_1 = \frac{20}{0.01}[/tex]

[tex]P_1 = 2000[/tex]

And:

[tex]P_1 + P_2 = 10000[/tex]

[tex]2000 + P_2 = 10000[/tex]

[tex]P_2 = 8000[/tex]

Then:

You can learn more about simple interest at https://brainly.com/question/25296782

Answer:

I think its 20 units but I'm unsure

Step-by-step explanation:

Answer:

[tex]{ \tt{rx - st = r}}[/tex]

» Collect like terms, r terms on the left hand side by subtracting r from both sides and adding st to both sides

[tex]{ \tt{(rx - st) { \green{ - r + st }} = r{ \green{ - r + st}}}} \\ { \tt{rx - r = st}}[/tex]

» On the left hand side, factorise out r

[tex]{ \tt{ \green{r(x - 1)} = st}} \\ \\ { \boxed{ \tt{ \blue{ \: r = \frac{st}{x - 1} }}}}[/tex]

Answer:

9

Step-by-step explanation:

You do parenthesis first so 1+2=3

Then you do division 6 divided by 2=3

Then you will multiply 3 by 3 so 9

This is known as pemdas

P=parenthesis

E=exponents

MD=multiplication and division you do it left to right so if division is in front of multiplication then you do division

As=Addition and subtraction is also left to right

Answer:

6÷2(1+2) = 9

Answer:

x = 2.75

Step-by-step explanation:

using Pythagoreas theorem

a² + b² = c²

3² + 4² = c²

9 + 16 = 25

square root 25 = 5

therefore AB = 5

to find x

5 - AD = x

5 - 2.25 = x

x = 2.75

The formula to find the distance between two points is:

d = √[(x2 − x1)² + (y2− y1)²]

distance between (3,4) and (21,4) = 18 cm

distance between (21,4) and (12,16) = 15 cm

distance between (12,16) and (3,4) = 15 cm

height = point in half of the base and the the top point so its (12,16) and (12,4) and the distance between them = 12

triangle perimeter = is the sum all sides

= 48 cm

Triangle area = 0.5 * base * height

= 0.5 * 12 * 18 = 108 cm²

Answer: 210

Step-by-step explanation: Since we are trying to find what 3/5 of a number gives you 126 You would divide 126 by 3 which equals 42 then you would add 126+42+42=210

Answer:

Step-by-step explanation:

Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.

The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.

Combining like terms we would have the first correct choice, 2h-2=92.

Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.

Answer:

H=310

Step-by-step explanation:

This problem is a great systems of equations problem--you have two different variables: song size and number of songs.

Let's call the number of standard version downloads (S) and the high quality downloads (H).

You can make two statements:

For number of songs downloaded: S + H = 910

For download size: 2.8(S) + 4.4(H) = 3044.

S will be the same number in both equations and H will be the same number in both equations, so to find S, we can rearrange the first statement to H = 910 - S, then substitute or plug in (910 - S) wherever you see an H in the second equation so that you have only S's in your equation. Should look like this:

2.8(S) + 4.4(910 - S) = 3044

2.8S + 4004 - 4.4S = 3044

-1.6S = -960

s = 600

Your question only asks for the standard version downloads, but to help you out in future Systems situations-

You can also solve for H once you have S by plugging it into either of your equations like this:

600 + H = 910

-600

Hope this helps!

Answer:

Left 3, down 3

Step-by-step explanation:

Moves to the left 3 and goes down 3

Just graph that on desmos and then use desmos as a refernece to draw your graph

Answer:

$325

Step-by-step explanation:

Answer:

$325

Step-by-step explanation:

if the refrigerator has been marked UP by 25%, this means that $406.25 is 125% of the original price (the original price being 100%).

Therefore, divide 406.25 by 125 to find the cost per 1%, then multiply by 100 to find the original price.

(406.25 ÷ 125) x 100 = 325

Answer:

D, E.

Step-by-step explanation:

Simplify the expression inside the parentheses:

[tex]3(23 + 18) < 6a[/tex]

[tex]3(41) < 6a[/tex]

Multiply:

[tex]123 < 6a[/tex]

Substitute each value provided for a:

Opt A. 123 < 6(18) = 123 < 108. Incorrect option.

Opt B. 123 < 6(19) = 123 < 114. Incorrect option.

Opt C. 123 < 6(20) = 123 < 120. Incorrect option.

Opt D. 123 < 6(22) = 123 < 132. Correct option.

Opt E. 123 < 6(24) = 123 < 144. Correct option.

Answer:

0.984251969 m-1

Step-by-step explanation:

I looked it up and this is what I got

slope = (y2-y1)/(x2-x1)

9 = (5-w)/(-2- -3)

9 = 2-w /1

w= -7

Answer:

96 hours

Step-by-step explanation:

Because they are expecting half of the team to do the whole foundation, you can double the time to even the equation out. In other equations, you can figure it out another way but this one is very simple!

Originally:

6 people | 48 hours

Now:

3 people | x hours

x=48*2

x=96

This is just my way of solving this, there are many other ways to do this though! :)

Answer:

What's the difference between a number track and a number line? A number track is a sequence of numbers, each inside its own square. ... Whereas, a number line is where the numbers are attached to markers on a line. This method of addition / subtraction comes later.

Answer:

40 yd^2

Step-by-step explanation:

Add the square at the bottom to make one large rectangle. Subtract the square not included from that area to get the figure shown (see attachment).

Answer:

Yes, the polygons are similar.

Step-by-step explanation:

A similar polygon is a polygon that shares the same scale factor as another polygon. A scale factor is a number you can multiply each side by to get a similar figure,

Step 1:

Divide a few of the sides. You do not need to divide every side to find the ratio, but do at least 2 or 3 to guarantee that the scale factor remains the same throughout the sides. Let’s divide a few pairs of sides.

[tex]27/18=1.5[/tex]

[tex]30/20=1.5[/tex]

[tex]21/14=1.5[/tex]

Step 2:

To really be safe, even though we can clearly tell this is a similar figure, is we can multiply each side on the right figure by 1.5, our scale factor, and see if we generate the sides on the left figure.

[tex]18*1.5=27[/tex]

[tex]20*1.5=30[/tex]

[tex]14*1.5=21[/tex]

And this is why the polygons are similar :)

Answer: dont know just search it up

Answer:

It is not possible to add them together

Step-by-step explanation:

Since you dont know what x is, you cannot add it to 60

Answer:

a

Step-by-step explanation:

- a ^2×a^4 b^-2b^-2/(a^4b^3)

- a^6b^-4/(a^4b^3)

in division the powers get subtracted

so ans is A

Answer:

Do the answer yourself.

Step-by-step explanation:

Feel free to ask your teacher or tutor because your parents are paying them the fees. Don't come on this app only for answers.

Answer:

A=  B=17.3

Step-by-step explanation:

First replace A with 2B-8:

2B - 8 + B = 44

Next simplify:

3B - 8 = 44

44+8=3B

52 = 3B

B = 52/3

B= 17.3

Now find A:

2B-8=

2 x 17.3 -8=

34.6 - 8=

26.6

I hope this helps :)

Answer:

Let x equal the amount of time required for the second press to complete the job on its own.

The second press then operates at a rate of 1/x of the job per hour.

The two presses work together at a rate of 1/2 of the job per hour.

And the first press operates at a rate of one-sixth of the job per hour.

As a result, our equation to solve is:

1/6+1/x=1/2 multiply each term by 6x x+6=3x subtract x from each side x-x+6=3x-x group like terms together

2x=6 multiply both sides by 2 x=3 the number of hours required for the second press to finish the job

CK

1/6+1/3=1/2

1/6+2/6=1/2\s3/6=1/2

1/2=1/2\salso\s(1/6)*2=1/3\s(1/3)*2=2/3\s2/3+1/3=1 (Only one job)

1=1

Heres The Answer. Good Luck

Answer: Yes

Step-by-step explanation:

Most fractions can be simplified into smaller fractions, while some are in it's simplest form. When putting a bit in its simplest form it is much easier to compare to other fractions  

What I did first tried to simplify all the factions, starting with 1 1/2.

After looking at 1 1/2, I can see that it is in its simplest form.

Then looking at 1 2/4 I can see that it can be simplified into 1 1/2.

Lastly looking at 1 3/6 I can see that it can be simplified into 1 1/2.