4)
x=16Vertical angles have equal angles when two lines intersect, which they do in this case.
3x-3=2x+13
Solve for x:
x=16
5)
34 degreesLines AK and MJ bisect each other perpendicually, so <ADJ is 90 degrees.
4x+3x-8=90
7x-8=90
7x=98
x=14
<CDJ=3x-8
=3(14)-8
=34 degrees
Hope this helps :)
Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
Well the first equation has a variable in it while the other one doesn't also the first expression if set equal to 0 is -2 while the other one is 5
Answer: 43.3 square inches
Step-by-step explanation:
Formula for Triangle: A = bh/2
Key:
* = multiple
/ = divide
Fill in the formula with what you know:
A = bh/2
A = 5 * 4.33 / 2
A= 21.65 / 2 = 10.825 square inches
However, 10.825 is not our answer. 10.825 is the area of only one triangle. Since all four of the triangles are congruent (or the same) we can:
Add: 10.825 + 10.825 + 10.825 + 10.825 = 43.3 square inches
OR
Multiple: 10.825 * 4 = 43.3 square inches
Thus, the surface area of the pyramid is 43.3 square inches.
Well at first you take the numerator (the top number) and divide it by the denominator (the lower number) that'll give you the whole number. then you would reduce only the fraction. for example lets say that we have 4/8 We know that at the very least since they are both even numbers we can divide by so so if we do that we have 2/4 oh look, even numbers again and divide both sides by two again and you get 1/2.
