The opposite angles of a parallelogram are (3x + 5)° and (61 – x)°. Find the measure of four angles.

Answer:

Step-by-step explanation:

The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:

[tex]\tau_{man}>\tau_{box}[/tex] and

[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.

180r > 76.2 so

r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.

Answer 8

8+8²=72

8+64=72

72=72

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Answer:

28.26

Step-by-step explanation:

We want to find the area of the circle shown.

We can calculate the area of a circle using the formula A = πr²

where r = radius

The circle shown has a given diameter of 6

We want the radius.

To convert diameter to radius simply divide the measure of the radius by 2

So radius = 6 / 2 = 3

Now to find the area we simply plug in the value of the radius into the area of a circle formula

Area of a circle: A = πr²

r = 3

( Note that the question says to use 3.14 for π )

So π = 3.14

* Substitute values *

A = (3.14)(3)²

3² = 9

(3.14)(9) = 28.26

A = 28.26

And we are done!

Answer:

A. 75.40 m³

Step-by-step explanation:

Diameter of cylinder (d) = 4 m

Radius (r) = ½(d) = ½(4) = 2 m

Height (h) = 3 × r = 3 × 2 = 6 m

Volume of cylinder = πr²h

Substitute the values

Volume of cylinder = π*2²*6

Volume of cylinder = π*4*6

Volume = π*24

Volume = 75.40 m³

Answer:

2x²+3x-6

Step-by-step explanation:

f(x)+g(x)

= x²+6x-5+x²-3x-1

=2x²+3x-6

Answer:

-3<x<_3

You plot this on a number line by writing and open circle on -3 and drawing and arrow from that open circle all the way until 3 and them draw a closed circle on 3.

Step-by-step explanation:

Answer:

its octagon. first and last one it has total 8 sides

Answer:

C) postulate

An axiom or a postulate is an accepted statement of fact.

OAmalOHopeO

Answer:

Im pretty sure its definition

Answer:

(x + 1)² + (y - 2)² = 9

Step-by-step explanation:

Equation of the circle with center (h, k):

(x - h)² + (y -k)² = r²  where r is radius

Center(-1 , 2) ;  r =3

(x - [-1])² + (y - 2)² = 3²

(x + 1)² + (y - 2)² = 9

Answer:

Step-by-step explanation:

xy-3x-5y+15

x(y-3)-5(y-3)

(y-3)(x-5)

Answer:

22 and 23

Step-by-step explanation:

let two consecutive number be

x and x+1

now,according to the question

x+x+1=45

or,2x=45-1

or,2x=44

or,x=44/2

:-x=22

Hence, the two consecutive numbers are

22 and 23

Answer:

(10,-1)

Step-by-step explanation:

A translation to the right is (x+5)

A translation down 2 is (y-2)

(5+5, 1-2)

(10,-1)

Answer:

(10, - 1 )

Step-by-step explanation:

A translation right 5 units means add 5 to the x- coordinate

A translation down 2 units means subtract 2 from the y- coordinate

(5, 1 ) → (5 + 5, 1 - 2 ) → (10, - 1 )

Answers:

The expression is 12n

He reads 84 books in 7 months

==================================================

Explanation:

For 1 month, he has read 12*1 = 12 books

For 2 months, he has read 12*2 = 24 books

For 3 months, he has read 12*3 = 36 books

and so on

If we let n represent the number of months, then 12*n or 12n represents the number of books read after n months. The variable n is some placeholder for a positive whole number.

If we replaced n with say n = 7, then 12*n = 12*7 = 84 books are read in 7 months.

Answer:

10  

Step-by-step explanation:

1. AB

2 BC

3. CD

4. DE  

5. AC  

6. B D

7.CE

8.AD

9.BE

10. A E

Answer:

1st angle = 30

2nd angle = 60

3rd angle = 90

Step-by-step explanation:

================================================

Explanation:

Plug in x = 3 to get

h(x) = x^2 + 10x + 32

h(3) = 3^2 + 10*3 + 32

h(3) = 71

Repeat for x = 11

h(x) = x^2 + 10x + 32

h(11) = 11^2 + 10*11 + 32

h(11) = 263

Now use the average rate of change formula

m = average rate of change

m = ( h(b) - h(a) )/(b - a)

m = ( h(11) - h(3) )/(11 - 3)

m = (263 - 71)/(11 - 3)

m = 192/8

m = 24

Answer:

Step-by-step explanation:

v=√u*u- 2qs

Above given answer is correct.

2(x^2+9x+20)

2(x^2+5x+4x+20)

2{x(x+5)+4(x+5)}

2(x+5)(x+4)

Answer:

16

Step-by-step explanation:

2 (l+b)​

Let l=5 and b=3

2 (5+3)​

Parentheses first

2(8)

Multiply

16

Answer:

16

Step-by-step explanation:

Plug in:

2 (l + b)

2 (5 + 3)

2 (8)

 16

Hope this helped.

Answer:

3

Step-by-step explanation:

The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:

AB * x = DE

where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:

5x = 15

x = 3

Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.

Answer:

D and C

Step-by-step explanation:

1) You can cross check using desmos.

2) cos(120) is - 0.5

Answer:

13x13x5

Step-by-step explanation:

We can write 845 as

845 = 13 x 13 x 5

because

845 = (13x13) x5 = 169 x5 = 845

so the expression is

13 x 13 x 5

Answer:

Hello,

Step-by-step explanation:

Best fit: quadratic y=5.3x²-9.3+6.1

with an total error  of 0.4

Answer:

x = 4

Step-by-step explanation:

1/5x + 4/5 = 8/5

Multiply each side by 5 to get rid of the fractions

5(1/5x + 4/5) = 8/5 *5

x+4 = 8

Subtract 4 from each side

x+4-4 = 8-4

x = 4

Answer:

h=17.3 A=173

Step-by-step explanation:

Calculator

Answer:

height = 17.3 mm

area = 173 mm²

Step-by-step explanation:

all three sides are of the same length (20 mm).

so, the height actually splits the baseline in half

(2 × 10 mm) while hitting it at a 90 degree angle.

so, we use Pythagoras, where the full side opposite of this 90 degree angle is c (Hypotenuse), the height of the main triangle is one side, and half of the baseline is the other side.

c² = a² + b²

20² = 10² + height²

400 = 100 + height²

300 = height²

height = 17.3 mm

the area of the main triangle is baseline (20) times height divided by 2.

so,

At = 20×17.3/2 = 10×17.3 = 173 mm²

Answer:

0

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the quadratic formula : [tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], where ax^2+bx+c=0

[tex]y = \frac{ -(-20) \pm \sqrt{(-20)^2 - 4(1)(50)}}{2(1)}[/tex]

[tex]y = \frac{ 20 \pm \sqrt{400 - 200}}{2}[/tex]

[tex]y = \frac{ 20 \pm \sqrt{200}}{2}[/tex]

y = 17.07106~ or 2.928932~

Answer:

3.1

Step-by-step explanation:

5 x5 =25

25+3=28

the other children are 4 years old