Triangle FGH is equilateral. The midpoints of the sides are connected to form triangle XYZ. Line segment XY is parallel to line segment FH.

Triangle F G H is an equilateral triangle. Equilateral triangle X Y Z is inside of triangle F G H and the points are the midpoints of triangle F G H.

What type of figure is quadrilateral FXYH?

Answer:

4x - 3y = 0

Step-by-step explanation:

The angle between the radius and the tangent at P is right

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y + 3x = 25 into this form

Subtract 3x from both sides

4y = - 3x + 25 ( divide all terms by 4 )

y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{25}{4}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{3}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , thus

y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

To find c substitute P(3, 4) into the partial equation

4 = 4 + c ⇒ c = 4 - 4 = 0

y = [tex]\frac{4}{3}[/tex] x ← equation of radius in slope- intercept form

Multiply through by 3

3y = 4x ( subtract 3y from both sides )

4x - 3y = 0 ← equation of radius in standard form

Answer: the numbers are 250 and 931

Step-by-step explanation:

We have two numbers of 3 digits, A and B such that:

A/B = 3.724

A = 3.724*B

now we can divide the 3.724 in two parts

3.724 = 3 + 0.724

A = (3 + 0.724)*B = 3*B + 0.724*B

So, for now we want to find a number B of 3 digits (i will try to find the smallest possible value of B, because we need to multiplicate B by 3.724 to find A), such that:

0.724*B is an integer.

for example, we can start at B = 1000, and then we will start to reduce the value of B

0.724*1000 = 7240 is an integer, this is an even number, this means that we can take B = 500 and we still will get an integer number.

0.724*500 = 362.

Again, we have an even number, so we can take B = 250 and the result will be also an integer number.

0.724*250 = 181.

Ok, stop here, we can suppose B = 250, then we have:

A = 3.074*B = 3.724*250 = 931

Then the numbers are 250 and 931

Answer:

Step-by-step explanation:

The graph is a line Then it has an equation of the form : y = my + p

where m is the slope and p is the y-intercept.

the line crosses the y-axis at the point (0,6) then

p = 6

the line is going down then

m is negative

the only provided equation that verify: m < 0 and p = 6 is  y = -2x + 6

Answer:

y = -2x + 6

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The rule that was used to translate the image is (x, y) → (x – 6, y + 11)

Translation is a way of moving an object from one location to another on the xy- plane

Given the coordinate of the right triangle LMN with vertices L(7, –3), M(7, –8), and N(10, –8)

If the triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8), the translation used will be:

L'(1, 8) = (x, y) - L(7, -3)

(X, Y) =  L'(1, 8) +  L(7, -3)

(X, Y) = (1+7, 8+3))

(X, Y) = (-6, 11)

Hence the rule that was used to translate the image is (x, y) → (x – 6, y + 11)

Learn more here: https://brainly.com/question/1046778

Answer:

-8

Step-by-step explanation:

¾(¼x + 8) - (½x + 2) = ⅜(4-x) - ¼x

3x/16 + 6 - x/2 - 2 = 3/2 - 3x/8 - x/4

3x/16 + 4 - x/2 = 3/2 - 3x/8 - x/4

3x/16 - x/2 + 3x/8 + x/4 = 3/2 - 4

3x/16 - 8x/16 + 6x/16 + 4x/16 = 3/2 - 8/2

(3x - 8x + 6x + 4x)/16 = - 5/2

5x/16 = - 5/2

5x * 2 = -5 * 16

10x = - 80

x = -80/10 = -8

Answer: optiond solve the values to get the answer

Best of luck for the test

Answer:

AC= 6.3 units (nearest tenth)

BC= 2.8 units (nearest tenth)

∠C= 64°

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

it's 10

Step-by-step explanation:

i searched it up.

Answer:

2

Step-by-step explanation:

22/11=2

Answer:

4.33333333

you first have to add all the numbers together then divide by how many numbers there are (6) then subtract the sum of all 6 number from their original number , then add all those then divide by 6 again . (sorry if i did the math wrong you can check it)

Answer:

Step-by-step explanation:

- 4x² + 10x

Answer:

[tex]\fbox{\begin{minipage}{11em}(f - g)(x) = -2x(2x - 5)\end{minipage}}[/tex]

Step-by-step explanation:

Given:

[tex]f(x) = -x^{2} + 6x - 1 \\ g(x) = 3x^{2} - 4x - 1\\[/tex]

Solve for:

[tex](f - g)(x)[/tex]

Solution:

Perform the subtraction:

[tex](f - g)(x) = (-x^{2} + 6x - 1) - (3x^{2} - 4x - 1)[/tex]

Eliminate the parenthesis (notice the change in sign of some components):

[tex](f - g)(x) = -x^{2} + 6x - 1 - 3x^{2} + 4x + 1[/tex]

Rearrange the expression:

[tex](f - g)(x) = (-x^{2} - 3x^{2}) + (6x + 4x) + (1 - 1)[/tex]

Simplify the expression:

[tex](f - g)(x) = -4x^{2} + 10x[/tex]

Perform the inverse of associative property:

[tex](f - g)(x) = -2x(2x - 5)[/tex]

Hope this helps!

:)

Answer:

y= -x^2+5

Step-by-step explanation:

It normally expontionally goes up, so across the x axis is down so it is negative, and is is all scales up, so the start is 5 up from the origin on the y axis, so it would be y=-x+5

Hope this helped!

Answer:

No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55

55/275 , or 20%.

Step-by-step explanation:

took the test on edg <3

Answer:

SAMPLE RESPONSE :No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55

275

, or 20%.

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

A reflection in y = x transforms point according to (x, y) ---> (y, x(, so:

(-1, 1) ---->   ( 1, -1).

(-3, 3) ---->  (3, -3).

(-1, 4)--->    (4, -1)

(-3, 4)-----> ( 4, -3).

Answer:

P = 0.0655

Step-by-step explanation:

First, we are going to calculate the number of ways in which we can select the 10 balls. This is calculated using the rule of multiplication as:

[tex]T=20*20*20*20*20*20*20*20*20*20\\T=20^{10}\\T=1.024*10^{13}[/tex]

Because we have 20 different balls every time and the experiment is repeated 10 times.

Then, from that [tex]1.024*10^{13}[/tex] ways, there are C ways where all the numbers recorded are distinct. It is calculated as:

[tex]C = 20*19*18*17*16*15*14*13*12*11\\C = 6.704*10^{11}[/tex]

Because, the first time, we have 20 options, the second time, we can just select 19 balls because we can not repeat the numbers, the third time, we can just select 18 balls and we need to keep doing this until get to the 10th time.

Finally, the probability that all the numbers recorded were distinct is calculated as C/T and it is equal to:

[tex]P=\frac{C}{T}=\frac{6.704*10^{11}}{1.024*10^{13}} =0.0655[/tex]

Answer:

Step-by-step explanation:

...exactly the same but with a different sign separating them. For example, if a root of a polynomial is

3 + 4i, then the other root has to be 3 - 4i because they always come in pairs. Always!! If a root is -2 - 3i, then the other root has to be -2 + 3i. Notice that the only sign that will change is the one that separates the a part of the complex number from the b part.

This phenomenon also applies to radicals. If we have a root that is [tex]-3 + \sqrt{5}[/tex][tex]-3 +\sqrt{5}[/tex] then the other root has to be [tex]-3 -\sqrt{5}[/tex]

Answer:

x-3i

Step-by-step explanation:

Answer:

During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points

Step-by-step explanation:

Answer:

11 points

Step-by-step explanation:

Range = Highest value - lowest value

Highest value = 24

Lowest value = 13

Range = 24 - 13

Range = 11

perimeter of circle

2πr

perimeter of semi circle

2πr ÷ 2

=2π(25) ÷ 2

= 50π ÷ 2

= 25π

Ans = 25π

Answer:

see below

Step-by-step explanation:

a) see attached chart

b) sum is 10

There are 3 that total to 10  (4,6)  (5,5) and (6,4)  and there are 36 possible outcomes

P(10) = number of outcomes that sum to 10 / total number of outcomes

        =3/36

        = 1/12

c) identical numbers  There are 6 that are identical (1,1) (2,2) (3,3) (4,4) (5,5) (6,6)

p(identical) = number of outcomes that are identical / total number of outcomes

        =6/36

        = 1/6

d product a multiple of 10 ( 5,2)  (5,4) (5,6)  (2,5)  (4,5) (6,5) are the only ones with a product multiple of 10

p(identical) = number of outcomes that are identical / total number of outcomes

        =6/36

        = 1/6

Answer:

8 miles in 1 hour is the answer

Answer:

[tex]\frac{8 mi}{1 hr}[/tex] (8 mi 1 hr)

Step-by-step explanation:

Biking 16 miles in 2 hours is [tex]\frac{8 mi}{1 hr}[/tex]

Answer:

NEED HELP

Step-by-step explanation:

I DON'T KNOW?

Answer:

The graph of the function starts high ends low

Step-by-step explanation:

I put the equation into Desmos

Answer:

3

Step-by-step explanation:

as u add 2 + 1 from the 6 and 7 hours

Answer:

s=-4

Step-by-step explanation:

Bring the S to one side and the numbers to the other

-11/4s=11

Then just divide, but when dividing fractions you have to switch the fraction so..

s=11*(-4/11)

s=-4

Answer:

The graph of a quadratic function is a U-shaped curve called a parabola.

Step-by-step explanation:

Answer:

Given below

Step-by-step explanation:

The algebraic identity is (a-b)^2

= a^2 + b^2 - 2ab

So it'll be,

(x-4)^2

= x^2 + (4)^2 - (2)(x)(4)

= x^2 -8x + 16

or x^2 +16 -8x

The expression x² + 16 -8x is equivalent to the given expression (x-4)². The correct answer would be an option (C).

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.

The expression is given in the question, as follows:

(x-4)²

As we know that the sum of square identity (a-b)² = a² + b² - 2ab

So x² + (4)² - (2)(x)(4)

x² -8x + 16 or

x² + 16 -8x

This expression is equivalent to the given expression.

Hence, the correct answer would be an option (C).

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Using the formula then calculator to get the ans and we must never forget to write the unit in squared form.

Answer:

Step-by-step explanation:

9n-2

thats the first part