Given Triangle DEF has point D(-1,-5), E(-2,-1) and F(-4,-3) and is
rotated around the origin 90 degrees clockwise onto triangle D'E'F, what
are the coordinates of D'. E', and F?

Answer: yes

Step-by-step explanation:

Answer:

I think it's supplementary

Answer:

supplementary

Step-by-step explanation:

∠2 and ∠3 are supplementary angles

this means ∠2 and ∠3 are equal to 180

Answer:

Distance of JK = 15 unit

Step-by-step explanation:

Given:

J(4,8)

K(-1,-2)

Find:

Distance of JK

Computation:

Distance = √(x₂-x₁)² + (y₂-y₁)²

Distance of JK = √(-1-4)² + (-2-8)²

Distance of JK = √25 + 100

Distance of JK = √125

Distance of JK = 15 unit

Answer:

A thesis statement is a claim

Step-by-step explanation:

The thesis statement is the sentence that states the main idea of a writing assignment and helps control the ideas within the paper. It is not merely a topic. It often reflects an opinion or judgment that a writer has made about a reading or personal experience. For instance: Tocqueville believed that the domestic role most women held in America was the role that gave them the most power, an idea that many would hotly dispute today.

9514 1404 393

Answer:

  D.)  Graph moves 3 units right.

Step-by-step explanation:

Replacing x with x-h moves the graph h units to the right. Here, h=3, so the graph is moved 3 units to the right.

  parent: f(x) = x^2

  translated: f(x) = (x -3)^2

Answer:

POSITIVE THANK ME LATER

Step-by-step explanation:

Answer:

Perimeter of ΔABC =32.31 units

Area of the triangle ABC = 47.81 sq. unit

Step-by-step explanation:

In triangle ABC

[tex]\angle A = 60^{\circ}\\\angle C = 45^{\circ}[/tex]

Angle sum property of triangle : The sum of the measures of the all angles of triangle is 180°

[tex]\angle A + \angle B + \angle C = 180^{\circ}\\60 + \angle B + 45 = 180\\\angle B + 105 = 180\\\angle B = 75^{\circ}[/tex]

Now we are supposed to find the perimeter and the area of the ΔABC

We will use the sine rule to find the lengths of sides BC and AC

Sine rule : [tex]\frac{Sin A}{BC}=\frac{Sin B}{AC}=\frac{Sin C}{AB}[/tex]

[tex]\frac{Sin 60}{BC}=\frac{Sin 75}{AC}=\frac{Sin 45}{9}\\BC \times sin(45) = 9 \times sin(60)\\ BC = 11.02[/tex]

[tex]AC \times sin(45) = 9 \times sin(75)[/tex]

AC = 12.29

Perimeter of ΔABC = AB + BC + AC

Perimeter of ΔABC = 9 + 11.02 + 12.29 =32.31 units

Area by using the sine rule:

Area of the triangle ABC =[tex]\frac{1}{2} (AB)(BC) sin B[/tex]

Area of the triangle ABC =[tex]\frac{1}{2} (9)(11) sin(75)[/tex]

 Area of the triangle ABC = 47.81 sq. unit

Answer:

f(x) = 17/2 or 8.5

Step-by-step explanation:

f ( x ) = 10-9/2x

By substituting the values,

f (x) = 10 - 9/2(-1/3)

= 10-3/2 = 17/2= 8.5

Answer:

x = 15

y = 19

Step-by-step explanation:

(5x-5) = (4x+10) reason[ being corresponding angle]

or, 5x-4x = 10+5

or, x = 15.

Similarly,

(5x-5)+(6y-4) = 180 reason[being supplementary angle]

putting the value of x in the equation, so

or, (5*15 -5)+(6y-4) = 180

or, 75-5+6y-4 = 180

or, 66+6y = 180

or, y = 30-11

or, y = 19.

Answer:

87150

Step-by-step explanation:

84,899 is the exact square miles, but 87,150 is closest

Answer:

A and B are the correct answers

The equation that represent the given situation is 2 ( x +y) = 60 and 2x +2y = 60, the correct option is A, and B.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

A rectangle is a polygon with four sides, the opposite sides of a rectangle is parallel and equal.

The perimeter of a rectangular room is 60 feet.

The perimeter of a rectangle is given by,

P = 2 ( Length + Breadth)

Let x be the width of the room  (in feet).

Let y be the length of the room (in feet).

Substituting the values in the formula to get the equation.

60 = 2 ( x +y)

2 ( x +y) = 60 ---------- (1)

2x +2y = 60 ------------(2)

Therefore, the equations that could model this is situation 2 ( x +y) = 60 and 2x +2y = 60.

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Answer:

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Assuming a normal distribution :

Sample (x) :25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Null hypothesis : μ = 25

Alternative hypothesis : μ > 25

α = 0.05

Decision region :

Reject Null if :

t0 > t

t can be obtained from the t distribution table at : df = (n - 1) = 10 - 1 = 9 ; α = 0.05

Hence, t(0.05, 9) = 1.833

From the sample given ; t0

t0 = (m - μ) / (s /√n)

n = sample size = 10

s = sample standard deviation

m = sample mean

Using calculator :

25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Sample mean(m) = 26

Sample standard deviation (s) = 1.624

t0 = (26 - 25) / (1.624 /√10) = 1.947

1.947 > 1.833

Hence, reject Null

B)

Confidence interval at 90% ; α = 0.1

m ± t(0.1/2 ; 9) * s/√n

m - t * s/√n ≤ μ ≤ m + t * s/√n

26 - 1.833 * (1.624/√10) ≤ μ ≤ 26 + 1.833 * (1.624/√10)

25.059 ≤ μ ≤ 26.941

Answer:  to get the equation needed to graph the equation, divide tach term by -3 to isolate y. The  slope-intercept equation becomes

y = -7x/3 + 7

Step-by-step explanation:

Use the y-intercept to plot 7 on the y axis then plot a point down 7 and 3 to the right  (3,0) and draw the line through those points.

Answer:

Hi there

Your answer is

41/42

Step-by-step explanation:

To add these, they need to have the same denominator.

1/7 * 6/6 = 6/42

5/6 * 7/7 = 35/42

6/42 + 35/42

=

41/42

Answer:

over one to the right, up six

The reflection of the point (1,6) across the x-axis is (1,-6).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A figure's mirror image in the axis or plane of reflection is its image by reflection.

Given that the coordinate is (1,6). The reflection of the coordinates across the x-axis will be,

R(x₁ , y₁) ⇒ R(x₁,-y₁)

R(1,6) ⇒ R( 1,-6)

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Answer:

7x+10

Step-by-step explanation:

use distributive property on 5(x+2)

your expression is now 5x+10+2x

Combine like terms so now your answer is 7x+10

Hope this helps

Answer:

the decimal representation of 1/3 = 0.3333333...  becomes periodic just after the decimal point, repeating the single-digit sequence "3" infinitely.

plz mark brainliest

Step-by-step explanation:

Hey there!

Now, let's look into figure.

angle ACB = 65° { Base angle of triangle ABC}

angle ACB + angle BAC + angle ABC = 180°

65° + 65° + angle ABC = 180°

angle ABC = 180°-130°

Therefore, angle 50°

angle EBD = 50° ( Vertically opposite angle)

Now;

angle EBD= angle DEB = 50° ( Base angle of triangle BDE )

angle BDE + angle DEB + angle EBD = 180° ( Sum of interior angle)

angle BDE = 180° -100°

Therefore, angle BDE = 80°.

Now, 80° + 14x + 2 = 180° { being linear pair}

14x = 180°-82°

14x = 98°

[tex]x = \frac{98}{14} [/tex]

X = 7°

Hope it helps......

Answer:

12.6 times 0.45

price: .45

quantity: 12.6

cost = price x quantity

Answer:

12.6 x 0.45

Since you know how much Is each pound and you want to buy 12.6 pounds. all you have to do is multiply them both.

Answer:

coefficient

Step-by-step explanation:

Answer:

The answer is, C. Zero because it is neither positive or negative

Answer:

Zero Hope this helps!

Answer:

4/99

Step-by-step explanation:

Multiply the numerator and den0ominater, then stack them

Answer:

4/99

Step-by-step explanation:

4/9 * 1/11

Multiply the numerators

4*1 = 4

Multiply the denominators

9*11 = 99

numerator over denominator

4/99

Answer:

C. x=5/2

Step-by-step explanation:

-2x+10x=34-14

(8x=20 ) /:8

x=5/2

Answer:

2x² - 2x - 12

(x-3)(2x + 4)

expand brackets:

2x² + 4x - 6x - 12

then simplify:

2x² - 2x - 12

hope this helps

brainliest please?

x

Answer:

2x² - 2x - 12 Step-by-step explanation:

Answer:

Mr. McDonald's class raised $6,000 dollars.

Step-by-step explanation:

So they're are 25 students in the class and they each sold 16 raffle tickets. The easiest way to do this problem is to first find the amount of raffle tickets sold and then multiply that by 15. You could also just do 25*16*15 but that doesn't make much sense just thinking about it. So the first operation we have to do is 25*16 because multiplication is repeated addition so we're basically doing 16+16 25 times to see how much raffle tickets were sold. So that is 400 and then we multiply by 15 because each ticket sold for 15 dollars so if we sold 400 raffle tickets for 15 dollars each, again multiplication is repeated addition so we do 15+15 400 times which is 400*15=6,000. So Mr.McDonald's class raised $6,000 dollars.

Step-by-step explanation:

The circumference of a circle is given by :

C=2πr, r is the radius of the circle

Also, 2r = D, diameter of the circle

⇒ C = πD

If the diameter of a circle is multiplied by 10, it means,

C = π(10)

⇒ C = 10π

Hence, if the diameter of a circle is multiplied by 10, then its circumference becomes 10π.