Simplify . Show your work!

Answer:

The measures of the two angles are 12° and 78°

Step-by-step explanation:

Let us explain what is the complementary angles

Two angles are complementary if the sum of their measures is 90°

Example:

If m∠x + m∠y = 90°, then

∠x and ∠y are complementary angles

Let us solve the question

Assume that the measure of one of the complementary angle is x°

∵ The measure of its complementary is 66° more than it

∴ The measure of its complementary = x + 66

∵ The sum of the measures of the complementary angles is 90°

∴ x + 66 + x = 90

→ Add the like terms in the left side

∴ 2x + 66 = 90

→ Subtract 66 from both sides

∴ 2x + 66 - 66 = 90 - 66

∴ 2x = 24

→ Divide both sides by 2

∴ [tex]\frac{2x}{2}=\frac{24}{2}[/tex]

∴ x = 12°

→ Substitute the value of x in the second angle to find x

∵ The measure of the other angle = 12 + 66

∴ The measure of the other angle = 78°

∴ The measures of the two angles are 12° and 78°

Answer:

12 and 78

Step-by-step explanation:

Let us explain what is the complementary angles

Two angles are complementary if the sum of their measures is 90°

Example:

If m∠x + m∠y = 90°, then

∠x and ∠y are complementary angles

Let us solve the question

Assume that the measure of one of the complementary angle is x°

∵ The measure of its complementary is 66° more than it

∴ The measure of its complementary = x + 66

∵ The sum of the measures of the complementary angles is 90°

∴ x + 66 + x = 90

→ Add the like terms in the left side

∴ 2x + 66 = 90

→ Subtract 66 from both sides

∴ 2x + 66 - 66 = 90 - 66

∴ 2x = 24

→ Divide both sides by 2

∴

∴ x = 12°

→ Substitute the value of x in the second angle to find x

∵ The measure of the other angle = 12 + 66

∴ The measure of the other angle = 78°

∴ The measures of the two angles are 12° and 78°

Answer:

0

Step-by-step explanation:

Answer:

1. Mean:

6

2. Median:

7

3. mode:

8

range:

6

Explanation:

Mean:

To find the mean you must add all the digits and divide them by the number of numbers there.for eg: 1,4,6,5,4

The number of numbers there is 5 so I added these numbers and divide them by 5.

Median:

To find the median you must arrange all the numbers in order and find the middle number eg: 1,2,3,4,5

The middle number is 3 as u can see there

Mode:

In the mode, you find the number that appears the most.

for eg: 1,3,3,4,5

The number appearing here the most is the 3

Range:

you minus the highest number from the lowest number

eg: 1,2,3,4,5

5-1 is 4 so the answer for the range is 4

Answer:

See below.

Step-by-step explanation:

20. YES

21. NO

22. NO

23. NO

3.3 ÷ 0.3

3.3 = 33/10

0.3 = 3/10

33/10 ÷ 3/10 = 11

Answer: 13x + y = 18

Step-by-step explanation: 13x + y = 18 is equal to y = -13x + 18.

The derivative is y' = -13/3x-2^2.

With the derivative, you get -13 for slope and plug it in to get y - 5 = -13x + 13.

Move it around and you get 13x + y = 18.

Hope this helps!

We want to find the equation of the tangent line to a given point in a given function.

The correct option is B: 13*x + y = 18

So we want to find the equation of the tangent line to the function.

[tex]y = \frac{2x + 3}{3x - 2}[/tex]

at the point (1, 5).

To get the slope of that line, we need to evaluate the derivate of the function in the x-value of the point, the derivate of the function will be:

[tex]y' = \frac{2}{3x - 2} - 3*\frac{2x + 3}{(3x - 2)^2}[/tex]

Now we evaluate this in the x-value of the point, which is x = 1.

[tex]y' = \frac{2}{3*1 - 2} - 3*\frac{2*1 + 3}{(3*1 - 2)^2} = -13[/tex]

Then the line will be something like:

y = -13*x + b

To find the value of b, we use the fact that the line must pass through the point (1, 5). This means that when x = 1, we have y = 5.

Replacing that in the line equation we get:

5 = -13*1 + b

5 + 13 = b

18 = b

Then the equation of the line is:

y = -13*x + 18

Or, rewriting it.

13*x + y = 18

So the correct option is B.

If you want to learn more, you can read:

https://brainly.com/question/23265136

Answer:

You have a picture of the problem?

Answer:

12 oranges.

[tex]2 * 6 = 12[/tex]

so that means that she used 12 oranges total for 6 glasses.

Hope this helps! Have a great day. ♣

Answer:

80 inches

Step-by-step explanation:

10 x 8 = 80

Answer:

-4/12

Step-by-step explanation:

This is true because what you do is y2-y1 over x2-x1 and you get uyour answer easily

Answer:The first is a function but the second isn’t.

Step-by-step explanation: The numbers in the first circle (domain) should only point to one number in the second circle (range). Meaning the domain should only have one arrow for it to be a function. Therefore the first problem is a function, but the second problem is not. For

example, in the first problem, the 0 is only pointing to one number, the 2. However, in the second problem the 6 is pointing to two different numbers, the 3 and the 5. -Let me know if this helps you or if you want me to explain it more. Hope this helps! :)

Answer:

A, A and A

Step-by-step explanation:

Given

y = ax² + bx + c ( a ≠ 0 )

• If a > 0 then vertex is minimum

• If a < 0 then vertex is maximum

The graph here is a maximum, thus a < 0 → A

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

The value of c is the y- intercept of the graph ( when x = 0 )

Since the y- intercept is below the x- axis then c < 0 → A

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

The solutions to the equation are where the graph crosses the x- axis ( y = 0 )

Since the graph crosses the x- axis to the left of the y- axis, then

both solutions are negative → A

Answer:

57.4064837905

Step-by-step explanation:

MATH

Answer:

Answer:

The area is 30 sqr yds

Step-by-step explanation:

Let suppose the given area is a box or a room.

Let length = 3yds

Let width = 10 yds

Area of a rectangle or square is = length x width

Area = 3 x 10

Area = 30 yds

Step-by-step explanation:

Answer:

15 yards

Step-by-step explanation:

If there is a triangle of base and height B and H we can find the area by using the formula:

0.5×B×H

0.5×10×3 = 15

Answer:

8%

Step-by-step explanation:

To get the answer we can use proportion. We know that 4$ its 100% and 4.32 its 100% + taxes.

4$ ---------- 100%

4.32 -------- x

cross multiply now

4x=4.32*100%

4x=432%     /:4

x=108%

We know that 4.32 its 100% + taxes=108% so to get taxes we have to subtract 108-100.

108%-100%=8% - its the answer.

Answer:

8%

Step-by-step explanation:

$4 represents the sale price

4.32 - 4 =$ .32 represents the sale tax

Tax rate is the percentage $ .32 out of $4.

 4 is 100%

.32 is x%

Cross multiply to find x, and divide by 4

x= (.32·100) / 4

x = 8

The tax rate is 8%.

Answer: she is wrong

Answer: her friend was wrong

Step-by-step explanation:

Jane’s friend found that 20% of 40 is 8. Then she added $8 to the sale price: 40 + 8 = 48. Then she determined that the original amount was $48.

b. Is her friend correct? Why or why not?

Jane’s friend was incorrect. Because Jane saved 20%, she paid 80% of the original amount, so that means that 40 is 80% of the original amount.

0 20% 40% 60% 80% 100%

0 10 20 30 40 50

Answer:

14

Step-by-step explanation:

hwjdjdjjdhdjdjdkdkskslslsksjdjdndndndkdkdlddo

Answer:

600cm³

Step-by-step explanation:

30/25=1.2

1.2×500=600

Answer:

it is 26 smaller or 64 bigger

Step-by-step explanation:

Answer:

need more information to solve..

Answer:

speed of James is: 3.75 miles/hour.

Step-by-step explanation:

We need to find the speed of James in miles per hour(mi/hr)

we know that 1 mile=5280 feet

James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.

i.e. he takes 7200 steps in 1 hour.

also each step of James=2.75 feet

total distance covered by James in 1 hour=2.75×7200 feet=19800 feet

[tex]19800feet=\frac{19800}{5280} miles=3.65miles[/tex]

hence speed of James= (distance covered by james in 1 hour)/1 hour

speed of James=3.75 miles/hour.

Thanks!!

Mark me brainliest!

~[tex]FieryAnswererGT[/tex]~

Answer:

We need to find the speed of James in miles per hour(mi/hr)

we know that 1 mile=5280 feet

James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.

i.e. he takes 7200 steps in 1 hour.

also each step of James=2.75 feet

total distance covered by James in 1 hour=2.75×7200 feet=19800 feet

19800feet=\frac{19800}{5280} miles=3.65miles19800feet=

5280

19800

miles=3.65miles

hence speed of James= (distance covered by james in 1 hour)/1 hour

Answer:

4:3 for 4 cups of butter there are 3 cups of water

Step-by-step explanation:

Replace n and m with their given values and solve:

4 + 6(7) = 4 + 42 = 46

Answer: 46

Answer:

46

Step-by-step explanation:

Evaluate the expression [tex]n+6m[/tex] if  [tex]m=7[/tex] and [tex]n=4[/tex].

First, replace the variables with their corresponding values.

[tex]n+6m[/tex]

↓

[tex]4+6(7)[/tex]

Now, solve.

According to PEMDAS, we have to do the paratheses and multiplication first.

[tex]6(7)=6*7\\6*7=42[/tex]

Now add 4 and 42.

[tex]4+42=46[/tex]

The solution to the equation is [tex]46[/tex]

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

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:

[tex]57,600cm {}^{2} [/tex]

Solving steps:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

=> 40 cm[tex] {}^{2} [/tex] × 30cm[tex] {}^{2} [/tex] × 48 cm[tex] {}^{2} [/tex]

multiply all the numbers

=> 57,600cm[tex] {}^{2} [/tex]

Hi hi hi hi

Answer:

[tex]57,600cm {}^{2} [/tex]

Solving steps:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

=> 40 cm × 30cm × 48 cm

multiply all the numbers

=> 57,600cm[tex] {}^{2} [/tex]

Answer: 3

Step-by-step explanation:

Answer:

bc=ad

Step-by-step explanation:

Using the slope concept, it is found that the skydiver has at a height of 1257 ft when he jumped.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

Hence:

[tex]\tan{50^\circ} = \frac{x - 5.5}{1050}[/tex]

[tex]x - 5.5 = 1.19175359259 \times 1050[/tex]

[tex]x = 1257[/tex]

The skydiver has at a height of 1257 ft when he jumped.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

2     0     -2      -4

Step-by-step explanation:

pls give brainliest

Answer:

2,0,-2,-4

Step-by-step explanation:

For example

-2 x -3 = 6

6 - 4 = 2

-2 x -3 - 4 = 2

-2x - 4