Answer:
d = 102° , e = 56° , f = 22°
Step-by-step explanation:
d and 102° are vertically opposite angles and congruent , so
d = 102°
e and 56° are vertically opposite angles and are congruent , so
e = 56°
f, d and e lie on a straight line and sum to 180° , then
f + d + e = 180° , that is
f + 102° + 56° = 180°
f + 158° = 180° ( subtract 158° from both sides )
f = 22°
2x+2y=-10
-x+y. = 9
2x + 2y = -10
-2x + 2y = 18
4y = 8
y= 2
2 - x = 9
-x = 7
x = -7
Answer:
Points scored in a basketball game vary directly with shots taken.
This means that this question can be solved
by proportions, using a rule of three.
How many would she have scored if she takes 60 shots?
Using a rule of three:
50 points - 40 shots
x points - 60 shots
Applying cross multiplication:
4x = 50 × 60
Divide from both sides
x = 50 × 1.25 = 75
Answer is 75
Step-by-step explanation:
Here is a easier explanation if you didn't understand clearly:
It asked for how many 60 shots would score.
You would look at the first time he scored which is 50 and took 40 shots. Divide them
50 ÷ 40 = 1.25 or 1.5
So now you know each point scores 1.25 or 1.5
Now you multiply 1.25 or 1.5 with how many shots to see how much was scored and in this case 60 shots.
60 × 1.25 or 60 × 1.5
& They both end up equaling just the same, 75.
Hope it made sense :)
6 is the answer I believe
Answer: 
Step-by-step explanation:
The complete exercise is: "The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents the value of π? "
In order to solve this exercise, it is important to remember that the circle can be calculated with the following formulas:
1. 
Where "C" is the circumference of the circle and "D" is the diameter of the circle.
2. 
Where "C" is the circumference of the circle and "r" is the radius of the circle (Remeber that the diameter is twice the radius).
In this case, the exercise gives you the circumference of the circle and its diameter. These are:

Then, knowing those values, you can substitute them s into the first equation
, as following:

The final step is to solve for
:
