The triangle and the rectangle have the same area

Answer:

Which statements can be used to justify the fact that two right angles are supplementary? Select two options.

*  A right angle measures 90°.

If two angles are complementary, the sum of the angles is 90°.

* If two angles are supplementary, the sum of the angles is 180°.

A complementary angle is one-half the measure of a supplementary angle.

A supplementary angle is twice the measure of a complementary angle.

Step-by-step explanation:

(A) and (C)

A right angle measures 90°, hence the sum of two right angles is 180° (supplementary)

An angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.

To justify the fact that two right angles are supplementary. Firstly a right angle measures 90°, hence the sum of two right angles is 180° (supplementary)

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Answer:

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

Step-by-step explanation:

The slope is denoted by m and is calculated using the formula

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

The given vertices are:

A(-2,4) B(-1,1) C(2,3)

The sides will be:

AB, BC, AC

Let m1 be the slope of AB

Let m2 be the slope of BC

Let m3 be the slope of AC

Now

[tex]Slope\ of\ AB = m_1 = \frac{1-4}{-1+2} = \frac{-3}{1} = -3\\Slope\ of\ BC = m_2 = \frac{3-1}{2+1} = \frac{2}{3}\\Slope\ of\ AC = m_2 = \frac{3-4}{2+2} = \frac{-1}{4} = -\frac{1}{4}[/tex]

Hence,

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

Answer:

offFfffff ^^3

Step-by-step explanation:

TYSMMMMM!!!!!!!;-;

Answer:

The area of a polygon is the number of square units inside the polygon. Area is 2-dimensional like a carpet or an area rug.

Step-by-step explanation:

A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is:

A = B * H where B is the base, H is the height, and * means multiply.

The base and height of a parallelogram must be perpendicular. However, the lateral sides of a parallelogram are not perpendicular to the base. Thus, a dotted line is drawn to represent the height. Let's look at some examples involving the area of a parallelogram.

Answer:

20) x=76

21) x=15

Step-by-step explanation:

20)  152+x-48=180

76=x

152+76-48=180

21)  90=6x

x=15

90=(6)(15)

A cow is eating green grass that grows in a field. The grass in this scenario is the producer.

'This is a basic food chain. The grass is a living organism that utilizes energy from the sun to make its own food through an interaction called photosynthesis. Then, different creatures eat the grass; it is their wellspring of energy.

Every living organism (plants and creatures) should eat food for the endurance of some sort or another. Plants make their own food through an interaction called photosynthesis. Using the energy from the sun, water, and carbon dioxide from the air and nutrients, they artificially make their own food. Since they make or produce their own food they are called makers.

Organisms that don't make their own food should eat either plants or creatures. They are called buyers. A few creatures get their energy from eating plants while different creatures get energy in a roundabout way from plants by eating different creatures that previously ate the plants.

Creatures that eat just plants are called herbivores. Creatures that eat the two plants and other creatures are called omnivores. Creatures that eat just different creatures are called carnivores.

A few creatures eat just dead or decaying materials and are called decomposers.

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Answer:

2 1/3

1 4/3

2.333...

233.3...%

Step-by-step explanation:

Answer:cot t = 1.875

[tex]sin t=\frac{-8}{17}[/tex] but sin²t + cos²t = 1 ⇔ cos²t = 1 - sin²t

⇔cos t = [tex]\sqrt{1-sin^{2}t }=\sqrt{1-(\frac{-8}{17})^{2} }=|\frac{15}{17}|[/tex]

but  t is a quadrant III angle => cos t = [tex]\frac{-15}{17}[/tex]

=> cot t = [tex]\frac{-15}{17}:\frac{-8}{17}=\frac{15}{8}=1.875[/tex]

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The question said the person bought a shirt which means 1 and 3 pairs of pants which means multiple but we don’t know how many so we substitute that ? for a x so 15 + 3x =117

Answer:

B

Step-by-step explanation:

It is B because we do not know the price of the three pants but know that the total is 117 and the price of the t-shirt is $15

Answer:

x

Step-by-step explanation:

[tex] \frac{2}{ x3} \times \frac{3}{2} \\ \frac{1}{3} \times 3 \\ \frac{1}{ x3 } \times 3 \\ {x}^{1} \\ x[/tex]

Answer:

34.99

Step-by-step explanation:

22.38 divided by 2= 11.19 24.80 + 11.19= 34.99

hope this helps you :) have a great day and stay safe!

Answer:

HCF = 2

Step-by-step explanation:

➲The HCF or GCF is the highest factor that occurs in all listed numbers, so lets start by listing all the factors and find the highes shared number.

▶The factors of 16 are: 1, 2, 4, 8, 16

▶The factors of 50 are: 1, 2, 5, 10, 25, 50

▶The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

➲As we can see the highest number they share is 2 so the HCF or GCF is 2.

Brainliest is much appreciated! Hope this helped!

Answer:

$300

Step-by-step explanation:

1/5 of 1500 is 300

Answer:

$300

Step-by-step explanation:

The new price of the sun glasses is $300 dollars...because

1/5=20%, so...

20% of 1,500

You would change 20% to a decimal giving you

.20*1,500

300

Answer:

C. about 15.4%

Step-by-step explanation:

There are 52 cards in a deck

There are 4 kings and 4 aces

so, 8/52 is the chance of getting either of those two.

8/52 is about 0.1538 or 15.38%

15.38% rounded would be 15.4%

Answer: 2/3

Step-by-step explanation: You take the 2 and divided it by 3 but your going to get a long decimal so you can put it into a fraction of 2/3

Answer:

2/3

Step-by-step explanation:

2 divided by 3

Answer:

it would be EC (B)

Step-by-step explanation:

I think the answer is b sorry if its whrong and good luck!

Answer:

C

Step-by-step explanation:

Answer:  Distrubutive Property

Step-by-step explanation:

Distrubutive Property is when you have a number, then you have an equation in parenthesis next to it.

Answer:

(multiple)

Step-by-step explanation:

it says 2,0 which 2 is the bottom line. You go to 2 at the bottom then go up to 0. Therefore, 2 is C. Start on the bottom, and move your finger up until you hit the second number. Right in the middle of that is your answer. Hope this helps! :)

Answer:

A

Step-by-step explanation:

Any rational expression where the denominator is zero is undefined.

The only expression where the denominator is zero is A [tex]\frac{7}{0}[/tex]

Answer:

Bar graph

Step-by-step explanation:

Have a good day!

Answer:

Step-by-step explanation:

These types of problems can be solved with substitution.

We just have to translate the word problem into math.

#1:

F = family, I = individual

[tex]F + I = 188\\95F + 42I = 12,507[/tex]

[tex]F = 188-I\\95(188-I) + 42I = 12507\\17860 - 95I + 42I = 12507\\-53I = -5353\\I = 101\\\\F + I = 188\\F + 101 = 188\\F = 87[/tex]

87 Families, 101 individuals

#2:

The perimeter is 899 meters. The perimeter can be defined as:

[tex]2L + 2W = P\\2L + 2W = 899[/tex]

We are also given that

[tex]2L = W - 100\\so\\2L + 2W = 899\\W- 100 + 2W = 899\\3W = 999\\W = 333\\\\L = \frac{W-100}{2} = \frac{333-100}{2} = \frac{233}{2}[/tex]

W = 333 meters, L = 233/2 meters

Answer:

y = 2x-3

Step-by-step explanation:

Twice the age means 2x

three less means -3

2x -3 = y

y = 2x -3

Brainliest appreciated!

Answer:

5x +20

Step-by-step explanation:

Answer:

Q1. 20

Q2. 24

Q3. D

Step-by-step explanation:

Answer:

The answer is $102.

Step-by-step explanation:

The main question here is, what is the sale price of the wagon?

1. Let's compute for 15% of 120.

2. So now let us subtract 18 from 120.

Hope this helps and if you could mark this as brainliest. Thanks!

The required sale price of the wagon is $102. So the correct answer is an option (b).

The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.

Here, to calculate the sale price of the wagon, we need to find out the discount amount first, and then subtract it from the original price.

Discount amount = 15% of $120

= 0.15 x $120

= $18

Sale price = Original price - Discount amount

= $120 - $18

= $102

Therefore, the sale price of the wagon is $102. So the correct answer is an option (b).

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Answer:

c

Step-by-step explanation:

For an inverse function you take f(x) and turn that to y then you switch x and y. So you should start off with y= 5x -8. so then you switch x and y so x= 5y - 8. So then you solve. You subtract 8 from both sides and divide by 5 and you get F(x) inverse = x + 8/5

Answer:

PLEASE MARK AS BRAINLIEST

Z = 130

Y = 50

X = 130

Step-by-step explanation:

hope this helped

Answer:

length = 8m and width = 6m

Step-by-step explanation:

We are told that 28 Plants that are placed 1 m apart. This means that total perimeter of rectangular space = 28

Thus;

2L + 2W = 28

Divide both sides by 2 to get;

L + W = 14 - - - (eq 1)

Where;

L is length

W is width

Furthermore, we are told that he needs an inner rectangular space in the center for plants that must be 1 m From the border of the bed and that require 24 square meter for planting.

This means that;

(L - 2) × (W - 2) = 24

(L - 2)(W - 2) = 24

Divide both sides by (W - 2) to get;

L - 2 = 24/(W - 2)

From eq(1),we can say that;

L = 14 - W

Thus;

14 - W - 2 = 24/(W - 2)

(12 - W) = 24/(W - 2)

Multiply both sides by (W - 2) to get;

(12 - W)(W - 2) = 24

12W - W² + 2W - 24 = 24

W² - 14W + 48 = 0

From quadratic formula, we have;

[-(-14) ± √(-14)² - 4(1 × 48)]/(2 × 1)

This gives;

W = 8 or 6

From earlier, we saw that L = 14 - W

Thus, L = 14 - 6 = 8 or L = 14 - 8 = 6

Since values of W and L are similar, we will choose the higher value to be the length and the smaller value to be the width.

Thus, length = 8m and width = 6m