In a right triangle, one acute angle measures 50°. What is the measure of the other acute angle?

A solution is an assignment of values to the unknown variables that makes the equality in the equation true.

Answer:

what the variable is equal to

Step-by-step explanation:

for example, in a equation like 1x = 2x/2 the solution could be x=1

[tex]

9y+18-5y+30=-4y-9 \\

8y+57=0 \\

y=-\frac{57}{8}=-7.125 \\

[/tex]

Hope this helps.

Answer:

[tex]y = -7 \frac{1}{8}[/tex]

Step-by-step explanation:

First off, Let's Simplify!

[tex]9y + 18 - 5y + 30 = -4y - 9[/tex]

Next, Let's Combine Like Terms!

[tex]9y - 5y + 18 + 30 = -4y - 9[/tex]

~~~~~~~~~~~~~~~~~~~~~~~

   [tex]4y + 48 = -4y - 9[/tex]

Now, Let's Isolate the Variable!

[tex]8y + 48 = -9[/tex]

[tex]8y = -57[/tex]

Final Answer:

[tex]y = -7 \frac{1}{8}[/tex]

Hope that helps and maybe earns a brainliest!

Answer:27.5

Step-by-step explanation:

Answer:

B. 27.5

Step-by-step explanation:

37 is the Q2, which is the median,

Q1 is 27 + 28 / 2 = 27.5

Answer:

x≤-6

Step-by-step explanation:

-4x+2≥ 26

Subtract 2 from each side

-4x+2-2 ≥ 26 -2

-4x ≥ 24

Divide by -4 remembering to flip the inequality

-4x/-4 ≤-24/-4

x≤-6

Answer:

B. x ≤ -6

Step-by-step explanation:

-4x + 2 ≥ 26

Subtract 2 on both sides.

-4x ≥ 26 - 2

-4x ≥ 24

Divide -4 on both sides.

x ≤ 24/-4

x ≤ -6

Answer: D

Step-by-step explanation:

All would add up to 241 instead of 2.41 because you are not using decimals for the constants (Example: 25q not .25q)

Answer:

no solutions

Step-by-step explanation:

x-y=6

y=x-4

Subtract x from each side

-x+y = x-4-x

-x+y = -4

Add this to the first equation

x-y=6

-x+y = -4

---------------

0x + 0y = 2

0=2

This is never true so there are no solutions

Answer:

No solutions.

Step-by-step explanation:

x - y = 6

y = x - 4

Solve for x in the first equation.

x = 6 + y

Put x as 6 + y in the second equation and solve.

y = (6 + y) - 4

y - y = 6 - 4

0 = -2

There are no solutions.

Answer:

≈ 5.8

Step-by-step explanation:

Step 1: Round the fractions

29 1/5 = 146/5 = 29.2 ≈ 29

4 6/7 = 34/7 = 4.85714 ≈ 5

Step 2: Divide

29/5 = 5.8

The answer is under

Answer:

14.4 cm

Step-by-step explanation:

Answer:

4√13

Step-by-step explanation:

Let's call the missing side length x

The given is a right triangle and in right triangle the square

length of hypotenuse is equal to square sum of other two side lengths

17^2 = 9^2 + x^2

289 = 81 + x^2 subtract 81 from both sides

208 = x^2

4√13 = x

Answer:

Vertex: (0, 12)

Direction: Upwards

Step-by-step explanation:

Easiest way to do this is to graph it. When you do so you should be able to see that your vertex is at (0, 12) and that the graph opens upwards (a is not negative, so no reflection over the x-axis).

Answer:

Step-by-step explanation:

y = 5900 - x

Simple interest = Prt

Simple interest on $x = x * 0.11 * 1 = 0.11x

Simple interest on $ (5900 - x) = (5900 - x) * 0.07 * 1

                                                   = (5900 - x) * 0.07

                                                   = 5900 * 0.07 - x * 0.07

                                                   = 413 - 0.07x

Return from tow investment =  $ 537

0.11x + 413 - 0.07x = 537  

Add the like terms

0.04x + 413 = 537

Subtract 413 for both sides

0.04x = 537 - 413

0.04x = 124

x = 124 /0.04

x = 3100

y = 5900 -  3100 = 2800

x = $ 3100

y = $ 2800  

Answer:

-47 > 1 - 8x > -63

-48 > -8x > -64 (subtract 1 from -47 and -63)

6 < x < 8 (divide inequality by -8; when you multiply/divide by a negative number you need to flip the sign)

Answer:

its wrong because when u moved the 8 to other side it would be positive. And u didnt switch sign for the 6

Step-by-step explanation:

-47 > 1-8x > -63

Seperate them into two inequalities

-47> 1-8x                                                    

Move 1 to the other side it will become -1

-47-1>-8x

-48>-8x

Divide -8 on both sides which will make the sign opposite because dividing with a negative number

6<x

1-8x>-63

Subtract 1 on both sides

-8x>-64

Divide -8 on both sides which will switch sign

x<8

Step-by-step explanation:

6/9 divide top and bottom by 3 to get 2/3

Now reduce each of the fractions to the lowest terms, and look for one that gives 2/3.

12/8 = 3/2  (divide by 4 top and bottom)

8/12 = 2/3  (divide by 4 top and bottom)  This is a solution

10/12 = 5/6 (divide by 2 top and bottom)

8/13 (cannot be reduced)

Therefore the second fraction (8/12) forms a proportion with 6/9.

Answer:

8/12

Step-by-step explanation:

divide through by 2 6/9 = 2/3

also,

divide through by 4

8/12 = 2/3

6/9 = 8/12

Answer:

12

Step-by-step explanation:

Ama's sister is 12 now and Ama is 8. 8/12 simplified is 2/3.

Four years ago Ama's would have been 4 and her sister would have been 8. 4/8 simplified is 1/2.

The equations:

(Ama is a)

(Ama's sister is s)

a = (2/3)s

a - 4 = (1/2)(s - 4)

Step one:

You would substitute the first equation into the second equation to get

(2/3)s - 4 = (1/2)(s - 4)

Step two:

Multiply by 6 to get rid of the fractions to get

4s - 24 = 3(s - 4)

Step three:

Simplify to get

4s - 24 = 3s - 12

Step four:

Subtract 3s and add 24 to get

s = 12

Step five:

Input the s value into the first equation to get

a = (2/3)(12) = 8

If this helped please rate, thanks, and mark brainliest! Also, please comment if it's correct :)

Step-by-step explanation:

let ama's age be x

and ama's sister be y

according to question

3x=2y --------(1)

x-4=(y-4)/2 ---------(2)

after solving equation (1) and (2)

we get ama's age is 8 years and AMA'S SISTER AGE IS 12 years

Answer:

The car dealership has 252 sedans.

Step-by-step explanation:

Number of SUVs = 140

Ratio of SUVs to sedans = 5:9

Sum of ratios = 5+9 = 14

Total number of cars = 14/5 × 140 = 392

Number of sedans = 9/14 × 392 = 252

Answer:

They did pay at the same rate

Step-by-step explanation:

when dividing 47 by 3 you get 15.666... and when dividing 141 by 9 you also get 15.666... using this you can deduce that it is the same rate.

Answer:

Yes

Step-by-step explanation:

We can use ratios for this:

Diego:

47:3 tickets

Divide both sides by 3 so you get the price of one ticket

15.67: 1 ticket

Andre:

141: 9 tickets

Divide both sides by 9 so you get the price of one ticket

15.67: 1 ticket

Answer:

The answer is option D.

All real numbers including zero

Hope this helps

Answer:

all non zero real numbers is the answer to the question.

this is because 0 cannot be a function of f of x because you would have undefined as an answer so therefore the answer is all non zero real numbers

Answer:

Park Q has greatest percentage of pink butterflies.

Step-by-step explanation:

Butterfly Park Survey Park           P     Q      R       S

No, of Pink Butterflies                  25    35   37      23

Total Number of Butterflies          53    64   75     55

Now we are supposed to find which park had the greatest percentage of pink butterflies

So, Percentage of pink butterflies in park P =[tex]\frac{25}{53} \times 100=47.169\%[/tex]

Percentage of pink butterflies in park Q =[tex]\frac{35}{64} \times 100=54.68\%[/tex]

Percentage of pink butterflies in park R= [tex]\frac{37}{75} \times 100=49.33\%[/tex]

Percentage of pink butterflies in park S= [tex]\frac{23}{55} \times 100=41.81\%[/tex]

So, Park Q has greatest percentage of pink butterflies.

So, Option B is true

Hence Park Q has greatest percentage of pink butterflies.

Answer:

Step-by-step explanation:

the division expression equivalent to  4 1/3  /  (-5/6) is

13/3  /  (-5/6)

The solution is A

4 1/3 is 13/3

4x3= 12 + 1 = 13 which is 13/3

Step-by-step explanation:

3x + 14y = 203

2. 11x + 11y = 220

3. Divide the last equation above by 11: x + y = 20

4. This is the same as saying x = 20 - y

5. Now, substitute for x in the first equation: 3(20 - y) + 14y = 203

6. The above equation simplifies to 60 - 3y + 14y = 203

7. Now express the equation in terms of y: 11y = 143

8. From the last equation, y = 13

9. Since x + y = 20, x = 7

10. Check: (3 times 7) + (14 times 13) = 21 + 182 = 203;

(11 times 7) + (11 times 13) = 77 + 143 = 220

One small box of oranges costs is $[tex]7[/tex].

One Large box of oranges costs is $[tex]13[/tex].

Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a given service. A cost price includes all outlays that are required for production, including property costs, materials, power, research and development, testing, worker wages, and anything else that must be paid for.

Tom sold 3 small boxes and 14 large boxes of orange for a total of $[tex]203[/tex]

[tex]\Rightarrow 3S+14L=203......(1)[/tex]

Jerry sold [tex]11[/tex] small boxes and [tex]11[/tex] large boxes of oranges for a total of $[tex]220[/tex]

[tex]\Rightarrow 11S+11L=220.....\left ( 2 \right )[/tex]

Solving equations (1) and (2), we get;

[tex]L=\frac{1573}{121}=13 \\ L=13[/tex]

Substitute [tex]L=13[/tex] in equation (2)

[tex]\Rightarrow 11S+11(13)=220[/tex]

[tex]S=\frac{77}{11}=7[/tex]

[tex]\therefore[/tex] One small box of oranges costs is $[tex]7[/tex].

One Large box of oranges costs is $[tex]13[/tex].

Learn more about Cost Price: https://brainly.com/question/12252562

Answer:

∠AOB = 101°

Step-by-step explanation:

Given:

AD is the angle bisector of ∠A

BE is the angle bisector of ∠B.

∠A = 125°

∠B = 33°

Find:

∠AOB

Computation:

∠BAO = 125° / 2 = 62.5°

∠ABO = 33°/2 = 16.5°

So,

∠AOB + ∠BAO + ∠ABO = 180°

∠AOB + 62.5° + 16.5° = 180°

∠AOB = 101°

Answer:

The Radius of the base, r, and the altitude h

Step-by-step explanation:

Surface area of a right cone

[tex]a=\pi r\sqrt{h^{2}+r^{2} }[/tex]

R= Radius

H=Radius

Answer:

The radius of the base, r, and the slant height s.

Step-by-step explanation:

pf

Answer:

You can verify if lines are parallel if they have the same slope and different y-intercepts and if they don't intersect each other. You can also graph the 2 equations to see if they ever intersect.

Step-by-step explanation:

Answer:

C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

Make a table with first set of numbers as 1,3. Multiply both the numbers of this set sequentially by natural numbers to get the following table

1   2  3  4    5    6     7    8     9      10......

3  6  9  12  15    18   21   24   27    30......

We see that in each set of numbers the 2nd number is 3 times the first number.

If we plot these sets of numbers on a graph paper, we get a model depicting all the points which satisfy this ration requirement.

Answer:

The answer is 3968

63 squared= 3969

3969-1 = 3968

Answer:

solution,

In a parallelogram, diagonal bisects angle into two equal parts. So,

<TVU=<TVW

or, 5x=50

or, X=50/5

X=10

Hope this helps..

Good luck on your assignment.

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

WVT angle = UTV angle (alternative angles)

[tex]80 + 5x + 50 =1 80 \\ 130 + 5x = 180 \\ 5 x = 180 - 130 \\ 5x = 50 \\ \frac{5x}{5} = \frac{50}{5} \\ x = 10[/tex]

Answer:

there were 22 folders originally

Michaela originally has 27 folders. Hence option D) is correct.

Michaela has three times  as many folders as Alejandro.
Michaela gives Alejandro 5 folders, but still has 8 more than Alejandro.

In mathematics it deals with numbers of operations according to the statements.

Now, let Alejandro has x folders corresponding Michaela has 3x folders
According to the condition
3x-5 =  x+5+8

2x = 18
x = 9
now
Michaela = 3x
= 3 x 9
= 27

Thus, Michaela originally has 27 folders.

Learn more about arithmetic here:

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Answer: a = 0.3

Step-by-step explanation:

First, distribute(-1)

5.3a-0.8-1.6+4.7a=2a-(a-0.3)

Then, distribute(-1)

5.3a-0.8-1.6+4.7a=2a-a+0.3

Then, combine like terms

10a-2.4=a+0.3

Then, add(2.4)

10a=a+2.7

Then, subtract(a)

9a=2.7

Then, divide(9)

a = 0.3

Hope it helps <3

Answer:

a = 0.3.

Step-by-step explanation:

(5.3a−0.8)−(1.6−4.7a)=2a−(a−0.3)

5.3a − 0.8 − 1.6 + 4.7a = 2a − a + 0.3

5.3a + 4.7a - 2a + a =  0.3 + 0.8 + 1.6

9a = 2.7

a = 0.3.

Answer:

1/12

Step-by-step explanation:

P( coin = heads) = number of heads / total = 1/2

P( cube = 5) = number of 5's / total =1/6

P( heads, 5) =1/2 * 1/6 = 1/12

The coin toss and the number cube roll are independent events.

This is because the result of the coin toss does

not affect the result of the number cube roll.

To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.

Since there is only one way to get heads when tossing a coin and there are 2 possible outcomes, tossing a heads or tails, the probability of getting heads is 1/2.

Since there is only one way to roll 5 on a number cube, there

is 1 favorable outcome but six possible outcomes.

So the probability of rolling a 5 is 1/6.

Now multiply.

So we have 1/2 · 1/6 which is 1/12.

Answer:

Option b.

Step-by-step explanation:

If the starting value a, the growth factor b, and the growth rate r, then

[tex]Q=ab^t=a(1+r)^t[/tex]        ...(1)

It is given that

[tex]Q=1750(1.593)^t[/tex]        ...(2)

On comparing (1) and (2), we get

[tex]a=1750, b=1.593[/tex]

Now, equation (2) can be rewritten as

[tex]Q=1750(1+0.593)^t[/tex]        ...(3)

On comparing (1) and (2), we get

[tex]r=0.593[/tex]

[tex]r=(0.593\times 100)\%[/tex]

[tex]r=59.3\%[/tex]

Therefore, the correct option is b.