<span>The theorems in this lesson relate to all of the following (tangents, arcs, and chords) except for <u>radii.</u></span>
I'm not sure what this means. If you have choices you should list them.
(1/2)*(1/4 + 1/6) is an example of what should be given. There are two ways to solve this.
1. Use the distributive property.
1/2*1/4 + 1/2* 1/6
1/8 + 1/12 Which can be added using the LCD of 24
3/24 + 2/24 = 5/24
Method 2
Add what is inside the brackets first.
1/2 ( 1/4 + 1/6)
1/2(3/12 + 2/12 = 5/12
Now multiply by 1/2
1/2(5/12) = 5*1/(12 * 2) = 5 / 24 Same answer.
The gcf of 9 and 18 is 18
Let number of fives = x then number of ones = 3x and number of tens = x - 1
so we can create the equation
x + 3x + x-1 + y = 26 where y = number of twenties
so
5x + y = 27
also we have the equation
5x + 3x + 10(x - 1) + 20y = 120
18x + 20y = 130..................................(1)
5x + y = 27 multiply by -20:-
-100x - 20y = -540..............................(2)
Adding equation (1) and (2)
-82x = -410
x = 5, that is 5 fives
Now plug x = 5 into equation 1:-
18(5) + 20y = 130
20y = 40
y = 2 , that is 2 twenties
So the answer is there are (3x) = 15 ones , 5 fives, 4 tens and 2 twenties
Answer:
x = 2, y = -1
Step-by-step explanation:
Now change the equation,
→ x + y = 1
→ y = 1 - x
Then the value of x will be,
→ 2x + y = 3
→ 2x + 1 - x = 3
→ x = 3 - 1
→ [ x = 2 ]
Therefore, the value of x is 2.
Now value of y will be,
→ y = 1 - x
→ y = 1 - 2
→ [ y = -1 ]
Hence, the value of y is -1.
