Fyodor and his three sons, Ivan, Dmitri and Alyosha, are standing exactly on the corners of a rectangular room. Fyodor is $3$ meters from Dmitri and $5$ meters from Ivan. What is the minimum possible distance that Fyodor could be from Alyosha, in meters

Answer:

2: 139

3: 139

4:41

Answer:

Step-by-step explanation:

10) ∠2 + 41 = 180      {Linear pair}

             ∠2 = 180 - 41

            ∠2 = 139

11) ∠3 = ∠2    {Vertically opposite angles}

∠3 = 139

12) ∠4 = 41      {Vertically opposite angles}

Answer:

C

Step-by-step explanation:

Remark

There are probably a couple of ways that you could do this. I'm going to pick the most obvious way.

Givens.

KN = 2.5

NO = 10

LM = 3

MP = x

Equation

NO/KN = PM / LM

Solution

10 / 2.5 = x / 3              Cross multiply

2.5x = 10 * 3                 Combine

2.5x = 30                      Divide by 2.5

x = 30/2.5

x = 12

That looks like it should be the answer, and it almost is, but you are asked for LP.

LP = LM + MP

LP = 3 + 12

LP = 15

The answer is 15

Answer:

its the first one.

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

We don't know the drivers' names or when or where they started. We have made the assumption that the second equation pertains to Kylie.

Each line is plotted with the appropriate slope and y-intercept. The slope is the coefficient of x, and represents the "rise" for each unit of "run" to the right.

Answer:

101

Step-by-step explanation:

4x+11 + 6x -1 = 180 (because they are supplementary)

10x =170

x = 17

angle L = 6(17) - 1 = 101

Angle L and Angle N are congruent. so N = 101

Answer: X   =    -16.5 / -16 1/2 / -33/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

r=44 rides

Step-by-step explanation:

(32-10) ÷ 0.50 = r

r=44

Answer:

44 rides

Step-by-step explanation:

r=32-10/.50

r=44

Answer

100+340=440

Step-by-step explanation:

Given:

The bases of a trapezoid lie on the lines

[tex]y=2x+7[/tex]

[tex]y=2x-5[/tex]

To find:

The equation that contains the midsegment of the trapezoid.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

On comparing [tex]y=2x+7[/tex] with slope intercept form, we get

[tex]m_1=2,b_1=7[/tex]

On comparing [tex]y=2x-5[/tex] with slope intercept form, we get

[tex]m_2=2,b_2=-5[/tex]

The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.

[tex]m=m_1=m_2=2[/tex]

The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.

[tex]b=\dfrac{b_1+b_2}{2}[/tex]

[tex]b=\dfrac{7-5}{2}[/tex]

[tex]b=\dfrac{2}{2}[/tex]

[tex]b=1[/tex]

So, the y-intercept of the required line is 1.

Putting m=2 and b=1 in slope intercept form, we get

[tex]y=2x+1[/tex]

Therefore, the equation of line that contains the midsegment of the trapezoid is [tex]y=2x+1[/tex].

Answer:

coefficient

Step-by-step explanation:

Answer                                                                                                                           17400

Step-by-step explanation:

Answer:

A=1.89×10 7 (7 as the exponent)

Explanation:

Answer:

MORE CHICKEN NUGGETS

Answer:

23%

Step-by-step explanation:

322 ÷ 1400 = 0.23 = 23%

Step-by-step explanation:

Answer:y+6 = 1/3 (x, -9)

Step-by-step explanation:The equation y+6 = 1/3 (x, -9) is written in point-slope form. What is the equation written in slope-intercept form? The point-slope form of a line that has a slope of -2 and passes through point (5, -2) is shown below. ... The equation y - 2/3 = -2 (x - 1/4) is written in point-slope form.

Answer:

7. 30°  8. 97.5°  9. 90°  10. 55°  11. 100°  12. x=32° y=64°

Answer:

45 square centimeters.

Step-by-step explanation:

Length(L) = 9 cm

breadth (b) = 5 cm

Area of the rectangle

= L * b

= 9 * 5

= 45 cm²

Hope it will help :)

Answer: 45 square centimeters

Step-by-step explanation: 9cm x 5cm = 45cm

Answer:

(-2, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -2

2x + 3y = -1

Step 2: Rewrite Systems

Find LCM of both equations.

Step 3: Redefine Systems

6x + 8y = -4

-6x - 9y = 3

Step 4: Solve for y

Elimination

Step 5: Solve for x

Answer:

x = 6.81 and y = 4.20

Step-by-step explanation:

by using SOHCAHTOA

hypotenus = 8

adjacent = x

opposite = y

sin45° = y/8

y = 8sin45°

y = 6.66

cos45° = x/8

x = 8cos45°

x = 5.66

Answer:

Step-by-step explanation:

m:  y = -2x + 4

n:    y = x - 1

l:      y = 4

p:     x = -4

m: y=-2x+4

slope: 2

2/1=2

Its negative because the line is going down from left to right

y-intercept:

it crosses the y axis at (0,4)

n: y=x-1

slope: 1

1/1=1

Its positive because the line is going up from left to right

y-intercept:

it crosses the y axis at (0,-1)

l: y=4

slope: 0

A vertical line's slope is always 0

y-intercept:

it crosses the y axis at (0,4)

p: x=-4

To find the equation for a horizontal line, you need to find what x always is no matter what.

Step-by-step explanation:

[tex] \sqrt{7x {}^{2} } - 7 \sqrt{49x} \\ \sqrt{7} x - 7 \times 7 \sqrt{x} \\ \sqrt{7} x - 49 \sqrt{x} [/tex]

Answer:

add: jump strategy, adding up to ten, do the tens last, compensation method, double when the numbers are the same, count from a number upwards

Subtract: take away, minus decrease, leave, how many are left over, difference between, half/halve

Step-by-step explanation:

el adulto tiene 13 células más que el bebe

Answer:

only x+1 , x+3 COULD represent consecutive even integers

Step-by-step explanation:

only x+1 , x+3 COULD represent consecutive even integers

Answer:

1

Step-by-step explanation:

d=-4 , f = 3

so, [8-(-4)]/4 × 3

= (8+4)/12

= 12/12

=1

Hope it helps

Answer:

1 is the answer

Step-by-step explanation:

8-(-4) / 4(3) = 1

Answer:

B. 1800 degrees.

Step-by-step explanation:

Just took the quiz on Edg (2020-2021)!!