A few years ago, the Colorado Rockies played 160 games and won 64. For every 2 games they won, how many games did they lose?

NEED HELP ASAP! BRAINLIEST will be granted!!!

noname [10]

Answer:

$1.72222\ radians$

Step-by-step explanation:

Given radius $=9$ and arc length $=15.5$ .

$arc\ length=radius\times central\ angle(radians)\\Central\ angle(radians)=\frac{arc\ length}{radius} \\$

$central\ angle=\frac{15.5}{9}=1.72222\ radians$

7 0

3 years ago

50 Points: Name the similar triangles & Prove the similarity with details

Leno4ka [110]

Let's consider the facts at hand:

By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
∠BEC = ∠DFC
Sides BE = DF

Based on the diagram, triangles BCE and triangles DCF are similar

⇒ based on the Angle-Angle theorem

⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC

⇒ the two triangles are similar

Hope that helps!

Definitions of Theorem I used:

Vertical Angle Theorem: opposite angles of two intersecting lines must be equal
Angle-Angle Theorem: if two angles of both triangles are equal, then the given triangles must be similar

8 0

2 years ago

Solve the following pairs of simultaneous equations.

Sergeeva-Olga [200]

Answer and step-by-step explanation:

a) -4x + 5y = -9 (2)

2x + 3y = 21

Multiply the second equation by 2, you will get:

4x + 6y = 42 (1)

Use (1) plus with (2), you will get:

4x + (-4x) + 6y + 5y = -9 + 42

11y = 33

y = 33/11

y = 3

4x + 18 = 42

4x = 24

x = 6

b) 2x + 5y = -6

3x + 2y = 2

Multiply first equation by 3, you will get:

6x + 15y = -18 (1)

Multiply the second equation by 2 and you will get:

6x + 4y = 4 (2)

Subtract (1) by (2), we got:

6x -6x + 15y - 4y = -18 - 4

11y = -22

y = -22/11

y = -2

6x + 4y = 4

6x -8 = 4

6x = 12

x = 2

c) 2x - 2y = -4

5x + 4y = 17 (2)

Multiply the first euation by 2, we got:

4x - 4y = -4 (3)

Use (3) minus for (2), we get:

4x - 5x -4y + 4y = -4 - 17

-x = -21

x = 21

4x - 4y = -4

84 - 4y = -4

-4y = -4 + 84

-4y = 80

y = 80 / -4

y = -20

d) 2x - 3y = 6

4x - 5y = 9 (1)

Multiply the first equation by 2, we got:

4x - 6y = 12 (2)

Use (1) minus for (2), we got:

4x -4x - 5y - 6y = 9 -12

-11y = -3

y = -3/-11

y = 3/11

2x - 3y = 6

2x - 9/11 = 6

2x = 66/11 + 9/ 11

2x = 75/11

x = 75/11 * 1/2

x = 75 / 22

e) x/2 + y/3 = 2

x/4 + y/3 = 4

Use the first equation subtract the second equation, we got:

x/2 - x/4 + y/3 - y/3 = 2 - 4

2x/4 -x/4 = -2

x/ 4 = -2

x = -2 * 4

x = -8

x/2 + y/3 = 2

-8 / 2 + y/3 = 2

y / 3 = 2 + 4

y/3 = 6

y = 6*3

y = 18

f) x/3 + y/2 = 3/2 (1)

x/2 + y/5 = -1/2 (2)

I don't know how to solve this, sr

Hope this helped :3

3 0

3 years ago

A line passes through (−1, 7) and (2, 10). which answer is the equation of the line?

mart [117]

First you need to find the slope of the line. So what you need to do is y^2-y^1 / x^2-x^1

(x^1, y^1) (x^2, y^2)
( -1, 7) ( 2, 10)

10-7/ 2- (-1)
3/3=1
slope is 1

I got 8 as the y intercept. Reason how is that I made a table. And what I did was go back instead of going forward.

x y
-1 7
0 8
1 9
2 10

The answer would be x= 1 y= x + 8 y=8 But the answer choice you listed for A. would not match up the 2 coordinate you gave. Make sure a. should be x= 1 y= x + 8 y=8, not -x y= 8-x y=8

6 0

3 years ago

What is the area of the polygon ABCDE?

Setler [38]

The answer is 73.5

To make it a lot easier split the shapes into a rectangle and triangle.
The rectangle is a tad easier because the measurements are given here.

5 x 12 = 60 (rectangle area)

To find the triangle find the base then height. The base is 3cm and the height is 9cm (shown above)

9 x 3 = 27
Divide that by 2 because it's a triangle and you get 13.5.

Add those two numbers and voila you have your answer of 73.5.

6 0

3 years ago