Solve for x. Leave your answer in simplest radical form

Answer:

B. ST and TK intersect at a 90 degree angle.

I know this because you can see that in between STK, there is a square in the corner indicating a 90 degree angle.

Step-by-step explanation:

Hope it helps! =D

Answer:

y = 1

Step-by-step explanation:

locate x = - 4 on the x- axis, go vertically up to meet the graph at (- 4, 1 ), so

when input x = - 4 the output is y = 1

Ms. Wickham folded 200 report cards and Ms. Cho folded 300 report cards, giving Ms. Cho an average of 100 report cards.

Ms. Wickham and Ms. Cho together folded 500 report cards.

Ms. Wickham folded 200 report cards

(200/500 = 2/5)

Ms. Cho folded 300 report cards

(300/500 = 3/5)

Mr. Leiva and Mr. Gamory folded 300 report cards.

Ms. Cho folded more report cards than Ms. Wickham, by

100 (300 - 200 = 100).

Ms. Wickham and Ms. Cho together folded 500 report cards, with the ratio of Ms. Wickham's report cards to Ms. Cho's being 2:3. Ms. Wickham folded 200 report cards, while Ms. Cho folded 300. At the end of the day, Mr. Leiva and Mr. Gamory folded an average 300 report cards. This meant that Ms. Cho folded more report cards than Ms. Wickham, by 100. Therefore, Ms. Cho folded 400 report cards in total, while Ms. Wickham only folded 300.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

Answer:

y = -3x -27

Step-by-step explanation:

Parallel lines have the same slope.  So the slope will be -3

We need to solve for the y-intercept.  Us the x and y values from the point (-6,-9) to find the y-intercept

m = -3 given

y = -9  from the point( -6,-9)

x = -6  from the point (-6,-9)

y = mx + b  substitute in what you know and solve for b

-9 = (-3) (-6) + b

-9 = 18 + b  Subtract 18 from both sides

-9 -18 = 18 - 18 +b

-27 = b

The equation of the line is y = -3x -27

Answer:

[tex]\huge\boxed{\mathfrak{\underline{Answer...}}}[/tex]

[tex]\small\mathfrak\red{volume \: of \: cylinder =\pi \: r {}^{2} h } \\ \\ \small\mathfrak\red{ r =5cm \: | height = 10cm } \\ \\ \small\mathfrak\red{volume \: of \: cylinder =3.14 \times 5 {}^{2} \times 10 } \\ \\ \small\mathfrak\red{volume \: of \: cylinder = 785 \: cm.cube} \\ \\ \small\mathfrak\green{hope \: it \: helps .... }[/tex]

Answer:

Step-by-step explanation:

Answer:

40km

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

73%

Step-by-step explanation:

Answer:

[tex]x = 1[/tex]

Step-by-step explanation:

[tex] \frac{141x - 1}{2} = 70[/tex]

[tex]141x - 1 = 140[/tex]

[tex]141x = 141[/tex]

[tex]x = 1[/tex]

1) The best approximation for the area of this figure is 21+14. 5π units².

2) The total area of the closed figure is 10.5 + 19.63 = 30.13 square units.

3) This is a hexagon with vertices at the specified coordinates on a coordinate plane.

1) The best approximation for the area of this figure is 21 + 14.5π units². The area of a semicircle with a radius of 7 is 14.5π units², and the two segments form a rectangle with an area of 21 units². Adding these two values together gives 21 + 14.5π units².

2) This closed figure can be divided into two parts: a triangle and a quarter of a circle. The area of the triangle can be found using the formula for the area of a triangle (base times height divided by 2). The base of the triangle is the length of the segment from negative 5 comma negative 2 to negative 5 comma 1, which is 3 units. The height of the triangle is the length of the segment from negative 5 comma negative 2 to 2 comma 1, which is 7 units. So the area of the triangle is (3*7)/2 = 10.5 square units.

The area of the quarter of a circle can be found using the formula for the area of a circle (pi times the radius squared). The radius of the semicircle is the length of the segment from 2 comma 1 to negative 5 comma negative 2, which is 5 units. So the area of the quarter of the circle is (pi*5²)/4 = 19.63 square units.

So the total area of the closed figure is 10.5 + 19.63 = 30.13 square units.

3) A hexagon is a polygon with six sides and six angles. In this case, the hexagon is placed on a coordinate plane, with each of its vertices (or corners) located at specific x and y coordinates.

The coordinates provided are: (negative 6, negative 2), (negative 5, 1), (negative 1, 4), (1, 1), (5, 3), and (1, negative 2). These coordinates correspond to six points on the plane, and the hexagon is formed by connecting these points in the specified order.

Learn more about polygon here:

https://brainly.com/question/24464711

#SPJ4

Answer: It would be 80 gallons of water that the dishwasher will use to wash 10 loads of dishes. To figure this out you would need to divide 32 by 4 which would equal 8. You would do this to figure out how many gallons of water a dishwasher needs to wash 1 load of dishes. Then you would multiply 8 times 10 which would equal 80.

Step-by-step explanation: hoped this helps thx for the points :D

Answer:

The probability is 0.22

Step-by-step explanation:

We know that:

40% of the students play tennis

24% of the students play baseball

58% of the students play neither.

If we add these numbers, we get:

40% + 24% + 58% = 122%

Here we should get exactly 100%, but we get more because we are counting some of the students twice, and that happens because some of the students play both sports, so these students are counted in both percentages.

And we can conclude that exactly 122% - 100% =  22% of the students play both sports:

Now, the probability that a randomly picked student plays both sports, is equal to the quotient between the percentage of students that play both sports and the 100%, this is:

p = 22%/100% = 0.22

The probability is 0.22

Answer:

575.4 sq inches

Step-by-step explanation:

you can divide this shape into:

13 x 13 square

trapezoid with bases of 13 and 30 with a height of 20

semi-circle with radius of 15

A(square) = 169

A(trapezoid) = 53

A(semi-circle) = 353.4

The outer perimeter of the figure will be 62.3 ft.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The figure is shown in figure.

Now, The total outer perimeter is,

⇒ Outer perimeter of triangle = 12.2 ft + 6 ft

                                              = 18.6 ft

And, Outer perimeter of rectangle = 14 ft + 14 ft

                                                     = 28 ft

And, Outer perimeter of semicircle = πr

                                                      = 3.14 × 10 / 2

                                                      = 3.14 × 5 ft

                                                      = 15.70 ft

Thus, The total outer perimeter is = 18.6 ft + 28 ft + 15.70 ft

                                                    = 62.3 ft

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ1

Answer:

Step-by-step explanation:

Answer:

1400 divided by 5 = 280 times 10 = 2800.

Step-by-step explanation:

Step-by-step explanation:

[tex]total \: months \: = 12 \times 10 = 120 \\ 5\%of \: 1400 = 70 \\ so \: 120 \times 70 = 8400 \\ total = 1400 + 8400 = 9800 \: dollar \\ thank \: you[/tex]

Answer:

D

Step-by-step explanation:

Answer:

50 cups of water

Step-by-step explanation:

If there is 30 cups of lemin juice, you would divide it by 6 cups to see how many portions there are. There are 5 portions of it, so you would multiply the 10 cups of water by 5 and then 6 cups of lemon juice by 5.

30 cups of lemon juice and 50 cup of water is what you would get

Answer:

12

Step-by-step explanation:

The median is the one in the middle.  For an odd number of seats, average the first and last seat numbers.

(1 + 23) / 2 = 24 / 2 = 12.  That means there will be 11 people on your left and 11 people on your right.

For an even number of seats, the same method doesn't work as well!  If there are 14 seats, for example,  (1 + 14) / 2 = 15 / 2 = 7.5,  and if you sit in "seat" 7 and a half, it will be awkward!

Step-by-step explanation:

1)

2)

3)

4)

stay safe healthy and happy.

Answer:

x = − 2 + √ 7 , − 2 − √ 7

Step-by-step explanation:

Answer:

x = +/- 2 +/- √7

Step-by-step explanation:

Answer:

332m²

Step-by-step explanation:

the formatting for finding the area of the triangle is base x height x 1/2

so we need to find 8.3 x 10

8.3 x 10 = 83

    83/2 = 41.5

there are 8 triangles in this shape so...

41.5 x 8 = 332

so the area of the polygon is 332m²

hope this helped!

- cheesetoasty

Answer:

Hello! answer: 332

Step-by-step explanation:

What they did was give you the height and base of a triangle in the polygon so you can find the rest because each would be equivalent to that one triangle if that makes sense...

Triangle area = base × height ÷ by 2

8.3 × 10 = 83 83 ÷ 2 = 41.5 I will multiply by 8 cause there will be 8 of those same triangles if you dont understand I advise to look at the picture I put here and 41.5 × 8 = 332 therefore the area is 332 HOPE THAT HELPS!

Note:

Ortho centre :a point of intersection of altitudes of a triangle meets the opposite angle.

Given:

For Orthocentre:.

A(1, 2), B(2, 6), C(3,-4). are vertices of a triangle:

Slope of AB[m1]=[tex] \frac{6-2}{2-1} [/tex]=4

Since it is perpendicular to CX.

slope of CX=m2

we have for slope of perpendicular

m1m2=-1

m2=-¼

It passes through the point C(3,-4)

equation of line CX becomes;

(y-y1)=m(x-x1)

y+4=-¼(x-3)

4y+16=-x+3

x+4y+16-3=0

x+4y+13=0........[1]

again:

Slope of AC[m1]=[tex] \frac{-4-2}{3-1} [/tex]=-3

Since it is perpendicular to BY

slope of BY=m2

we have for slope of perpendicular

m1m2=-1

m2=⅓

It passes through the point B(2,6)

equation of line BY becomes;

(y-y1)=m(x-x1)

y-6=⅓(x-2)

3y-18=x-2

x-3y+18-2=0

x-3y+16=0.........[2]

Subtracting equation 1&2.

x+4y+13=0

x-3y+16=0

-__________

7y-3=0

y=[tex] \frac{3}{7} [/tex]

again

Substituting value of y in equation 1.

x+4*[tex] \frac{3}{7} [/tex]+13=0

x=-13-[tex] \frac{12}{7} [/tex]

x=[tex] \frac{-103}{7} [/tex]=-14[tex] \frac{5}{7} [/tex]

So

orthocenter is (-14[tex] \frac{5}{7} [/tex],[tex] \frac{3}{7}[/tex])

Circumcentre: a point of intersection of perpendicular bisector of the triangle.

Now

X,Y and Z are the midpoint of AB,AC and BC respectively.

X(a,b)=([tex] \frac{2+1}{2} [/tex],[tex] \frac{2+6}{2} [/tex])=

([tex] \frac{3}{2} [/tex],4)

Slope of AB=4

Slope of OX=-¼

Equation of line OX passes through ([tex] \frac{3}{2} [/tex],4)is

y-4=-¼(x-[tex] \frac{3}{2} [/tex])

4y-16=-x+[tex] \frac{3}{2} [/tex]

8y-16*2=-2x+3

2x+8y=3+32

2x+8y=35

x+4y=[tex] \frac{35}{2} [/tex]........[1]

again

Y(c,d)=([tex] \frac{3+1}{2} [/tex],[tex] \frac{-4+2}{2} [/tex]=(2,-1)

Slope of AC:-3

Slope of OY=⅓

Equation of line OY passes through (2,-1) is

y+1=⅓(x-2)

3y+3=x-2

x-3y=3+2

x-3y=5......[2]

Multiplying equation 2 by 3 and

Subtracting equation 1&2.

x+4y=35/2

x-3y=5

-_______

7y=[tex] \frac{25}{2} [/tex]

y=[tex] \frac{25}{14} [/tex]

Substituting value of y in equation 2.

x-3*[tex] \frac{25}{14} [/tex]=5

x=5+[tex] \frac{75}{14} [/tex]

x=[tex] \frac{145}{14} [/tex]

x=10[tex] \frac{5}{14} [/tex]

circumcenter of a triangle: (10[tex] \frac{5}{14} [/tex],1[tex] \frac{11}{14} [/tex])

That would be [tex] \sqrt{113} [/tex]

Answer:

0.056

Step-by-step explanation:

56/1000

56 divided by 1000 = 0.056

Answer:

0.056.

Step-by-step explanation:

Answer:

b. Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.

Step-by-step explanation:

EDGE 2021

I hope this helps!

Answer: Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.

Step-by-step explanation: EDGE 2022

Answer: 25

Step-by-step explanation:

Answer:

A = 55t + 125

B = 40t + 275

B is cheaper for 13 hours

Step-by-step explanation:

Company A charges $55 per hour and a $125 equipment fee.

A = 55t + 125

Company B charges $40 per hour and a $275 equipment fee.

B = 40t + 275

----------------------------

For 13 hours

A = 55(13) + 125 = 840

B = 40(13) + 275 = 795

B is cheaper

Answer:

second part of the QUESTION Company B is $45 cheaper than Company A for 13 hours of landscaping.Step-by-step explanation: