Use 2-3 sentences to explain, in your own words, why the two acute angles in a right
triangle are complementary using the following vocabulary words: right triangle, acute
angles, angle sum theorem, and degrees.

Answers

Answer 1

Answer:

In a right triangle, we know that there is one 90 degree angle and two acute angles. The angle sum theorem states that the sum of all angles in a triangle equal 180 degrees. For this reason, we know that these two acute angles must equal 90 degrees or be complementary angles to add up with the 90 degree right angle and equal 180.

I hope this helps!

Answer 2

Answer:

In a right triangle, the angle opposite the hypotenuse is always 90 degrees. The angle sum theorem states that the sum of the interior angles of a triangle is 180 degrees.  Therefore, the other two angles sum to 90 degrees, which means they are complementary.  They are also acute angles, since they are each less than 90 degrees.


Related Questions

A ball is dropped from a helicopter 100m from the ground. As the ball falls, the magnitude of it's associated velocity is

Answers

As the ball falls, the velocity of the ball increases with increase in distance

Velocity and Motion

Given Data

Distance  = 100m

It should be noted that when an object falls, it velocity increases from zero to the maximum just before it hits the ground from the initial point of lunch.

Note: For a projectile the ball might reach a zero velocity at maximum height

Learn more about velocity here:

https://brainly.com/question/25705666

need help really please someone​

Answers

Answer:

2 5/7

Step-by-step explanation:

First we need to make the 4 2/7 top heavy so it is easier to subtract :)

4 2/7 = 3 9/7

Now we can subtract :)

3 9/7 - 1 4/7 = 2 5/7

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

The answer is 2 5/7

Step-by-step explanation:

what is the slope of a line (0,2) (-1,-3)​

Answers

Answer:

The slope of the line is 5.

Step-by-step explanation:

You need to use the slope formula.

Slope Formula: y2 - y1 / x2 - x1

Your coordinates: (0,2) and (-1, -3)

Do -3 - 2 / -1 - 0

This is because the -3 is your y2 and the 2 is your y1

**Same goes with x but different numbers since it is the x coordinates.**

Now, do -3 - 2 first.

The negatives turn into a positive meaning you have to add the two.

But the bigger number 3 is negative so, your answer should contain a negative.

-3 -2 = -5

Do -1 - 0

This should be an addition problem but contain a negative answer.

-1 -0 = -1

-5/-1 as final.

The negatives cancel, and 5/1 is 5

Your slope is 5.

Answer:

The slope of the line is 5

Step-by-step explanation:

Slope(m) formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

y₂ = -3

y₁ = 2

x₂ = -1

x₁ = 0

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-2}{-1-0} \\\\m=\frac{-5}{-1}\\\\m=5[/tex]

Hope this helps!

Give the dimensions of 2 solids with equal surface area and different volume

Answers

Two solids with the same surface and different volumes are a cube of side length of 1 unit, and a sphere of radius of 0.69 units.

How to find the two solids?

First, let's define a cube of a side length of 1 unit. The surface of this cube is equal to 6 times the area of one of the faces, or:

S  = 6*(1 unit square) = 6 units square.

And the volume is equal to the side length cubed, so we have:

V = (1 unit)^3 = 1 unit cubed.

Now, let's find a sphere with the same surface than our cube. For a sphere of radius R, the surface is:

S = 4*3.14*R^2

Then we must have:

4*3.14*R^2 = 6 units square

R = √(6/(4*3.14)) units = 0.69 units.

And the volume of this sphere is:

V = (4/3)*3.14*R^3 = (4/3)*3.14*(0.69 units)^3 = 1.38 cubic units.

So the sphere has the same surface and more volume.

If you want to learn more about solids, you can read:

https://brainly.com/question/10171109

Is 4 4/9 + 8 7/9. 13 2/9 the mixed number

Answers

Answer:

Yes

Step-by-step explanation:

Correct

how long would it take an investment of $25000 to amount to $40 000 at a flat rate of 9.5% per annum?​

Answers

Answer:

it will take approximately 6.32 annum(years) to reach $40000

Step-by-step explanation:

9.5% of $25000 = $2375

$40000 - $25000 = $15000 so you need to make an interest of $15000 overall to reach $40000

since you make $2375 each year therefore

$15000 ÷ $2375 will give you the number of years to reach $40000

hence 15000 ÷ 2375 = 6.315

approximately = 6.32 annum(years)

Madelyn has 4 pairs of red socks, 6 times as many pairs of blue socks 1 as white pairs of socks, and I as many white pairs as red pairs. How many pairs of socks does she have in all? How many socks does Madelyn have?​

Answers

The Total Number of socks is 10 in all, bear in mind that there is no blue socks hence it will not add to the total amount of socks

Addition of Numbers

Note : 1 pais = 2 socks

Given Data

Red Socks = 4 pairs = 4*2 = 8 socks 6 times as many pairs of blue socks = 0 1 as many pairs of  white socks = 2 socks

The statement " 6 times as many pairs of blue socks" is equivalent to no socks, since we have no blue socks, hence 6*0 = 0

Let us find the total socks

= 8+0+2

= 10 socks

Learn more about addition here:

https://brainly.com/question/25421984

Find the surface area

Answers

Answer:

The answer is : 8160 m

Step-by-step explanation:

100% correct

The stem-and-leaf plot shows the number of digs for the top 15 players at a volleyball tournament
Stem
4
5
6
7
8
9
Leaf
11 3 3 5
0 2 3 4
2 3 3 7
5
7
Key: 50 = 50 digs
13
سية
Find the mean, median, mode, range, and interquartile range of the data. Round your answers to the nearest tenth, if necessary
The mean is
The median is
The modes from least to greatest are and
The range is
The interquartile range is

Answers

Answer:

The mean is 56.6, the median is 53, modes are 41, 43, and 63, the range is 56, and the IQR is 20.

Step-by-step explanation:

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.

Average = Sum / Count

= 849 / 15

= 56.6

gggggggggggggggggggggg

Answers

Answer:

12/25

Step-by-step explanation:

lashonda had 4 fiths of 1 acre of land, and 3/5 of the 4 fiths of land is corn.

If you multply 3/5 by 4/5 you will get you answer: 12/25 or 0.48

solve system of equations can someone show step by step please
2x-6y=-12
x+2y=14

Answers

Answer:

x=6 y=4

Step-by-step explanation:

I hope this helps you and please mark me as brainlest!

Find the distance between the two points in simplest radical form.
(-1,-1) and (5,-9)

Answers

Hey there!

The distance will be 10 units

[tex]\sqrt{ { (x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \\ = \sqrt{( {5 - ( - 1)}^{2} + {( - 9 - ( - 1)}^{2} )} \\ \\ = \sqrt{ {(5 + 1)}^{2} + {( - 9 + 1)}^{2} } \\ \\ = \sqrt{ {(6)}^{2} + {( - 8)}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]

Hope it helps

Find the area of the figure.

Answers

answer:

4.5m²

explanation:

1. find area of the circle

A(circle)=πr²

A=π(2.3²)

A=16.62m²

2. find area of the square

the diameter of a circle is twice its radius. when you multiply 2.3 by two, you get 4.6. since the circle reaches to the sides of the square, the diameter is also the length of a side on the square.

A(square)=s²

A=4.6²

A=21.16m²

3. subtract the two areas

to find the area of the shaded sector, we need to subtract the area of the circle from the area of the square.

A(shaded)=21.16-16.62

A=4.54097487m²

(be sure to round as necessary)

--

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Evaluate the expression when a=4 and x=-6.
a-8x

Answers

Answer:

52

Step-by-step explanation:

a-8x =4-8×-6

=4-(-48)= 4+48=52

How do I find the area of the blue shape? Don't worry about the other colored one.

Answers

Answer:

80 cm²

Step-by-step explanation:

Let's break down the composite shape into two parts. (Image attached)

Let "a" represent the area of the smaller square.Let "b" represent the area of the bigger square

⇒ The side length of "a" is 4 cm.

⇒ The side length of "b" is 8 cm.

First, let's find the area of square "a". Keep in mind that the area of a square is the side multiplied by itself.

⇒ (Side)² = A

⇒ (4)² = Area of "a"

⇒ (4)(4) = Area of "a"

⇒ 16 cm² = Area of "a"

Next, find the area of square "b". Keep in mind that the area of a square is the side multiplied by itself.

⇒ (Side)² = A

⇒ (8)² = Area of "b"

⇒ (8)(8) = Area of "b"

⇒ 64 cm² = Area of "b"

Finally, let's sum up the area of square "a" and "b" to find the area of the composite shape.

⇒ Area of composite shape = Area of "a" + Area of "b"

⇒ Area of composite shape = 16 + 64

Area of composite shape = 80 cm²

Why aren't convenience samples usually representative
of the population?

Answers

Answer:

The results of the convenience sampling cannot be generalized to the target population because of the potential bias of the sampling technique due to under-representation of subgroups in the sample in comparison to the population of interest. The bias of the sample cannot be measured.

Please help me on this. you will get 100 points!!!!!!!!!!!!!!!!!!!!!!

Answers

Circle One:

No

Explain:

The chart shows that teenagers get roughly between 7 - 8 and 1/2 hours of sleep every night. It shows that no teenagers get 9 and 9 and 1/2 hours of sleep. This is why their data does not support the delay to starting time.

Brainliest and 100 points! I need this answer ASAP.

What is the equation of the graphed function?

Enter your answer in the box.

f(x)=______________

Answers

Answer:

f(x) = x² - 4x + 2 or f(x) = (x - 2)²

Step-by-step explanation:

The parabola touches the x-axis at only one pointIf we use y = a(x − h)² + k, we can see from the graph that h = 2 and k = 0This gives us y = a(x − 2)²

What is the value of "a"?

We also see that the y-intercept is (0, 4)We can plug it into the equation4 = a(0 - 2)²4a = 4a = 1

So, our quadratic equation will be :

y = 1(x - 2)²y = x² - 4x + 2 or y = (x - 2)²

Answer:

f(x)=(x-2)^2

Step-by-step explanation:

They deleted my first answer, the one you marked brainliest :/

Promise this is correct, but i don't know how to explain it. The person above me did it wonderfully though. Hope this helped <3, Have a great day!

Find the area
A. 100
B. 112
C. 224
D. 46

Answers

Answer:

a). 100

Step-by-step explanation:

Finding d₁ and d₂

d₁ = r₁ x 2 = 5 x 2 = 10d₂ = r₂ x 2 = 10 x 2 = 20

Finding Area

A = 1/2 x d₁d₂A = 1/2 x 10 x 20A = 1/2 x 200A = 100

Two stores sell cherries at different prices per pound.
• Store P sells 3.5 pounds of cherries for $13.30.
• The graph below shows the cost to purchase different weights of cherries at Store Q.
.
Cost (dollars)
0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50
Phillip needs to purchase 10 pounds of cherries. Which statement below is true?
A Phillip will spend $8.00 less on cherries at Store P than at Store Q.
B Phillip will spend $8.00 more on cherries at Store P than at Store Q.
Phillip will spend $6.00 less on cherries at Store P than at Store Q.
Phillip will spend $6.00 more on cherries at Store P than at Store Q.

Answers

Answer:

can you post the question but more clear please because I didn't understand

Josephine can correct her students' test papers in 9 hours, but if her teacher's assistant helps, it would take them 7 hours. How long, in hours and minutes, would it take the assistant to do it alone? (Write your answer in mixed units. Enter a zero in any unneeded blanks.)

Answers

Using the together rate, it is found that it would take the assistant 31 hours and 30 minutes to do it alone.

What is the together rate?

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Josephine: 1/9.Assistant: 1/x.Together: 1/7.

Hence:

[tex]\frac{1}{9} + \frac{1}{x} = \frac{1}{7}[/tex]

[tex]\frac{x + 9}{9x} = \frac{1}{7}[/tex]

[tex]9x = 7x + 63[/tex]

2x = 63

x = 31.5.

It would take the assistant 31 hours and 30 minutes to do it alone.

More can be learned about the together rate at https://brainly.com/question/25159431

d fewer than the quotient of 5 and 2

Answers

Answer:

[tex]\frac{5}{2} - d[/tex]

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Charlie kicked the football 71 yards. He kicked it 48 more yards than his brother.

How far did his brother kick the football?

Show your work in the box below.

Answers

Answer:

23 yards

71 - 48 = 23

this is the answer to your question

if this helpful to you give me a brainliest.....

(17a ^ 3 * b ^ 2)/(15b ^ 3 * c ^ 2) * (18b ^ 4 * c ^ 3)/(8a ^ 2 * b * c ^ 2) =

Answers

Answer: (51ab^2)/(20c)

STEP

1

:

Equation at the end of step 1

 ((17•(a3))•(b2)) ((18•(b4))•(c3))

 ————————————————•————————————————

 ((15•(b3))•(c2))  ((23a2•b)•c2)  

STEP

2

:

Equation at the end of step

2

:

 ((17•(a3))•(b2)) ((2•32b4)•c3)

 ————————————————•—————————————

 ((15•(b3))•(c2))    23a2bc2  

STEP

3

:

           (2•32b4c3)

Simplify   ——————————

            23a2bc2  

Dividing exponential expressions :

3.1    b4 divided by b1 = b(4 - 1) = b3

Dividing exponential expressions :

3.2    c3 divided by c2 = c(3 - 2) = c1 = c

Dividing exponents:

3.3    21   divided by   23   = 2(1 - 3) = 2(-2) = 1/22

Equation at the end of step

3

:

 ((17•(a3))•(b2)) 9b3c

 ————————————————•————

 ((15•(b3))•(c2)) 4a2

STEP

4

:

Equation at the end of step

4

:

 ((17•(a3))•(b2)) 9b3c

 ————————————————•————

   ((3•5b3)•c2)   4a2

STEP

5

:

Equation at the end of step

5

:

 (17a3 • b2)   9b3c

 ——————————— • ————

  (3•5b3c2)    4a2

STEP

6

:

             17a3b2

Simplify   —————————

           (3•5b3c2)

Dividing exponential expressions :

6.1    b2 divided by b3 = b(2 - 3) = b(-1) = 1/b1 = 1/b

Equation at the end of step

6

:

  17a3   9b3c

 ————— • ————

 15bc2   4a2

STEP

7

:

Dividing exponential expressions :

7.1    a3 divided by a2 = a(3 - 2) = a1 = a

Dividing exponential expressions :

7.2    b3 divided by b1 = b(3 - 1) = b2

Dividing exponential expressions :

7.3    c1 divided by c2 = c(1 - 2) = c(-1) = 1/c1 = 1/c

Final result :

 51ab2

 —————

  20c

What is Y equals 3X +20

Answers

You can’t solve an equation with two variables. The simplest it gets is Y=3x+20 or X=1/3Y - 6 2/3
Or maybe you’re asking what the equation is? Y=mx+b is the slope intercept form.

Answer:

y = 3x + 20

This is an equation, in slope-intercept form, which represents a the placement of a line. The 3 in the equation represents the slope of the line, and the 20 represents the y-intercept.

Calculate the following measures:

Answers

angle PSQ = 65 (central angle is 130, which means arc PQ is 130, and half of the arc is the inscribed angle)

angle AQS = 35 (congruent to angle SPR)

arc QR = 50 (180-130)

arc RS = 70 (35*2=70)

arc PS = 110 (35*2, making arc SR 70, subtract all arcs from 360 to get 110.

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The volume of a sphere is 9,198.11 ft3. To the nearest foot​, what is the radius of the​ sphere? Use 3.14 for π.

Answers

Answer: 1.3 ft

Step-by-step explanation:

Using the formula

V=4

3πr3

Solving forr

r=(3V

4π)⅓=(3·9.2

4·π)⅓≈1.29978

Please help quick!
Subtracting a number is the same as adding its opposite.
Use this understanding to complete each of the equations below.
Enter numbers to evaluate −5−(−7).
‐5 –(‐7)= ‐5 + _______
= ________
Enter numbers to evaluate −5−7.
‐5− 7 = ‐5 + _______
= ________

Answers

Answer:

First space: 7

second space: 2

third space: -7

last space: -12

Step-by-step explanation:

To subtract, use "Add the opposite". In the problem the minus has aready been changed to adding, so you just change the second number (-7 in the first part or 7 in the second part) to their opposite sign. see image.

Super easy math, problem solving 7th grade

Answers

Answer:

P=1, G=2, T=3, E=6, D=7, A=9

explanation:

CAT+DOG=PETS

Replace each letter with its value:

893+742=1635 which is true

Karen Gaines invested ​$10,000 in a money market account with an interest rate of 3.25​% compounded semiannually. Three years​ later, Karen withdrew the full amount to put toward the down payment on a new house. How much did Karen withdraw from the​ account?

Answers

The total amount of money that Karen withdrew from her account three years later is $11,015.48.

How much did Karen withdraw?

When an amount earns a compound interest seminannually, it means that the amount invested and interest accured increases in value twice a year.

The formula for calculating future value:

FV = P (1 + r)^nm

FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years

$10,000 x (1 + 0.0325/2)^6 = $11,015.48

To learn more about future value, please check: https://brainly.com/question/18760477

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