Which statement correctly describes the location of the incenter of a triangle?
Question 15 options:

A)

The incenter is equidistant from all three vertices of the triangle.

B)

The incenter is equidistant from all three sides of the triangle.

C)

The incenter is closest to the shortest side of the triangle.

D)

The incenter is closest to the longest side of the triangle.

Answer:

B

Step-by-step explanation:

if you look at the line one going up, the y axis is at the negatives meaning it begins as -5 . Then notice how it goes up 3 times and it goes to the right once. So the slope is 3/1 or simplified 3 so we know the slope intercept form is = y is 3x-5. Now we look at the second one. None of the answers of the second one are in slope intercept form. for that you have to turn them into it. When you do that for B will be y= -1/2x + 2. When you look at the line the y axis is 2 and the slope is -1/2x.

Answer:

Given:

A plane ticket to Barcelona costs £175 the price decreases by 6%

To find:

The new price of the plane ticket

Solution:

The ticket to Barcelona costs £ 175

The price decreases by 6%

⇒ 6% = 6/100 = 3/50

The new price of the plane ticket is decreased by the amount,

= £ 175 × 3/50

= £ 10.5

Therefore, the new price of the plane ticket is given by,

= £ 175 - £ 10.5

= £ 164.5

ik this question i got at school

Answer: £175

Step-by-step explanation:

You said it costs £175

Answer:easy thats C

Step-by-step explanation:

enjoy

Answer:

8.7 * 10^7

Step-by-step explanation:

Scientific notation is a representation of huge but countable numbers at it's unit place with an expansion of the powers of 10.

Hence,

87,000,000

=87*10^6

=8.7*10^7

Answer:

the integers are 8 and 9

Step-by-step explanation:

consecutive means one right after the other. 9 is right after 8. and its product is 72, well 8x9 is 72.

Answer:

Car 1 is traveling faster than Car 2. Car 1 is traveling at a speed of 64 miles per hour and Car 2 is traveling at a speed of 55 miles per hour.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Take out lignes

-1/4x-3/7

= -7/12

Answer:

-8.2,-2 1/2, 0.4,2.4

Step-by-step explanation:

hope that helps

Answer:

y=mx+b

y=4x-32

Answer:

y=23

Step-by-step explanation:

Answer:

9 3/4 in a percent is 975%.

If you change 9 3/4 into a decimal, it will be 9.75, and 9.75 converted into a percent is 975%

Answer:

39

Step-by-step explanation:

the interior angles of a triangle equal 180.

180-(51+90)

180- 141 = 39

hope this helps :)

Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].

Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].

Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].

i.e            [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]  (sum of angles on a straight line)

Thus,

i. [tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]  (sum of two opposite interior angles is equal to an exterior angle)

⇒ [tex]a^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]

Also,

[tex]b^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

But,

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] +  [tex]b^{o}[/tex])

and

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]

ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])

Also,

[tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]

⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]

Answer:

your answer is 2x2y

Step-by-step explanation:

that's it

Answer:

Tristan will need 32 feet of material for the perimeter of the garden.

Step-by-step explanation:

Given that

Area of square garden = A = 64 square feet

Perimeter = P = ?

We know that for calculation of perimeter, length of side of square is required which is not directly given in the question. The area will be used to calculate length of side and then length will be used to calculate the perimeter.

So,

[tex]Area = A = s^2[/tex]

s is for side

Putting the value of area

[tex]64 = a^2[/tex]

Taking square root on both sides

[tex]\sqrt{s^2} = \sqrt{64}\\s = 8\ feet[/tex]

The length of side is 8 feet.

Perimeter will be:

[tex]P = 4*s\\P = 4*8\\P = 32\ feet[/tex]

Hence,

Tristan will need 32 feet of material for the perimeter of the garden.

Answer:

-1/11

Step-by-step explanation:

[tex]\frac{11x}{12} -\frac{1}{6} =\frac{-1}{4}[/tex]    add 1/6 to both sides

[tex]\frac{11x}{12} =\frac{1}{6} -\frac{1}{4}[/tex]  make the same denominator 12 on the right side

[tex]\frac{11x}{12} =\frac{1}{6}*\frac{2}{2} -\frac{1}{4}*\frac{3}{3}[/tex]  solve

[tex]\frac{11x}{12} =\frac{2}{12} -\frac{3}{12} =\frac{2-3}{12} = \frac{-1}{12}[/tex]

[tex]\frac{11x}{12}*12 =\frac{-1}{12} *12[/tex] multiply by 12 both sides

11x= -1 divide by 11

x= -1/11

Answer: 8 hours

Step-by-step explanation: You would first multiply 2 hours by 4 mph, and get 8 miles. You would then subtract 8 miles from 26 miles, and have 18 miles left. You would now divide 18 miles by 3, as he is now traveling 3 miles per hour and needs to travel 18 miles. You would get 6 hours. You would now add 6 hours by the 2 hours initially traveled at 4 mph, and get 8 hours.

Answer:

[tex]x_1=\mathbf{i}\sqrt{6},\ x_2=-\mathbf{i}\sqrt{6},\ x_3=\sqrt{3},\ x_4=-\sqrt{3}[/tex]

Step-by-step explanation:

Biquadratic Equations

Solve:

[tex]x^4 + 3x^2 - 18 = 0[/tex]

The biquadratic equations are equations of degree 4 without the terms of degree 1 and 3.

Solving such equations requires to express the equation as a second-degree equation with [tex]x^2[/tex] as the variable.

Rewriting the equation:

[tex](x^2)^2 + 3(x^2) - 18 = 0[/tex]

The quadratic equation can be factored as:

[tex](x^2+6)(x^2-3)=0[/tex]

It leads to two equations:

[tex]x^2+6=0[/tex]

[tex]x^2-3=0[/tex]

The first equation has imaginary roots. Solving for x:

[tex]x^2=-6[/tex]

[tex]x=\pm\sqrt{-6}[/tex]

[tex]x_1=\mathbf{i}\sqrt{6}[/tex]

[tex]x_2=-\mathbf{i}\sqrt{6}[/tex]

Where

[tex]\mathbf{i}=\sqrt{-1}[/tex]

The second equation has two real roots:

[tex]x^2-3=0[/tex]

[tex]x^2=3[/tex]

[tex]x=\pm\sqrt{3}[/tex]

[tex]x_3=\sqrt{3}[/tex]

[tex]x_4=-\sqrt{3}[/tex]

The roots are:

[tex]\mathbf{x_1=\mathbf{i}\sqrt{6},\ x_2=-\mathbf{i}\sqrt{6},\ x_3=\sqrt{3},\ x_4=-\sqrt{3}}[/tex]

Answer:

392000

Step-by-step explanation:A=p(1+

Answer:mark brain list answers

mark

get 3 point

freee

Step-by-step explanation:

Answer:

(2x-5)+(x+25)+x

4x+20

Step-by-step explanation:

Simplify the expression.

Answer:

-23

Step-by-step explanation:

the equation of the line is y=-2/3x-23 so the b in the equation (y=mx+b) is the y int so that is -23

Answer:

(0,-5)

Step-by-step explanation:

my work is in the picture I attached. lmk if you'd like me to explain more :)

Step-by-step explanation:

Answer:

The length of segment JK is 5[tex]\sqrt{5}[/tex] ⇒ C

Step-by-step explanation:

The formula of the distance between the two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

Let us use the formula above to solve the question

∵ Jk is a line segment

∵ J = (4, 8) and K = (-1, -2)

∴ x1 = 4 and y1 = 8

∴ x2 = -1 and y2 = -2

→ Substitute them in the formula above

∵ JK = [tex]\sqrt{(-1-4)^{2}+(-2-8)^{2}}[/tex]

∴ JK = [tex]\sqrt{(-5)^{2}+(-10)^{2}}[/tex]

∴ Jk = [tex]\sqrt{25+100}[/tex]

∴ Jk = [tex]\sqrt{125}[/tex]

→ Simplify the root

∵ 125 = 5 × 5 × 5

∴ [tex]\sqrt{125}[/tex] = 5[tex]\sqrt{5}[/tex]

∴ JK = 5[tex]\sqrt{5}[/tex]

∴ The length of segment JK is 5[tex]\sqrt{5}[/tex]

Answer:

AB=DE

Step-by-step explanation:

they're literally the only pair on the same sides lol

The side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

We have two triangles shown in the picture.

As we know from the definition of the congruent triangle, the same size, and shape.

The three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle

Thus, the side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.

Learn more about the congruent triangle here:

brainly.com/question/12413243

#SPJ5

Answer:

im not sure if there is a picture it would help more :)

Step-by-step explanation:

Answer:

Piano Play

Step-by-step explanation:

Answer:

Piano Play offers the better deal.

Step-by-step explanation:

If you divide $525 by 10 you will get $52.50 every hour for Make Music but if you divide $540 by 12 you will get $45 every hour for Piano Play so Piano Play offers the better deal.

Hope this helps!!

Answer:

-2

Step-by-step explanation:

find rise over run with y1-y2/x1-x2 = -2/1 = -2

The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the first point be A ( x₁ , y₁ ) = A ( 4 , -3 )

Let the second point be B ( x₂ , y₂ ) = B ( 3 , -1 )

Now , the equation for the slope of the line is given by ,

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -1 - ( -3 ) ) / ( 3 - 4 )

Slope m = 2 / -1

Slope m = -2

Hence , The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2