A = 54 because alternate interior angles
b = 72 because 54+54=108 and 180-108=72
c = 108 because b and c are supplemental angles
d = 72 because b and d are corresponding angles
e = 162 because 72+90=162 and definition of a straight line
f = 18 because definition of a straight line
g = 81 because definition of an isosceles triangle
h = 49.5 because vertical angles and definition of an isosceles triangle
i = 130.5 because definition of a straight line
j = 31.5 because 49.5-18=31.5
k = 99 because corresponding angles
bcegk = 540
Solve each equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
x=-1, -7
Answer:
- 15 @ 41 cents
- 50 @ 56 cents
Step-by-step explanation:
Let x represent the number of 41-cent stamps Yumi bought. Then the number of 56-cent stamps she bought was 4x-10. Her total purchase was ...
0.41x +0.56(4x -10) = 34.15
2.65x -5.60 = 34.15 . . . . . . . eliminate parentheses, collect terms
2.65x = 39.75 . . . . . . . . . . . . add 5.60
x = 15 . . . . . . . . . . . . . . divide by 2.65
4x-10 = 50
Yumi bought 15 41-cent stamps and 50 56-cent stamps.
Answer:
Additive
-2 = 2
18 = -18
-30 = 30
2/5 = -2/5
Multiplicative
8/9 = 9/8
12/15 = 15/12
-6 = -1/6
10 = 1/10
Step-by-step explanation:
an<em> additive inverse</em> is a number you must add to another number to get 0
(think of it as the negative version of the number)
<em>{but WHY? In math, you can imagine comparing numbers on a number line. If we are finding the opposite of a number, we want to find the same distance from 0, but on the opposite side of 0. So, 2 would be two to the right of 0, -2 would be two to the left of 0}</em>
-2 + 2 = 0
18 - 18 = 0
-30 + 30 = 0
2/5 - 2/5 = 0
a <em>multiplicative inverse</em> is a number that you multiply by another number to get 1.
We are finding the "reciprocal" of a number; you are essentially flipping it as a fraction
(reciprocal of 2 = 1/2 {remember, 2 is the same thing as 2/1 } ; reciprocal of 1 / 8 = 8)
<em>note: reciprocal is being used interchangeably with multiplicative inverse here</em>
<em />
8/9 · 9/8 = 1
12/15 · 15/12 = 1
-6 · -1/6 = 1 {-6 = -6/1}
10 · 1/10 = 1 {10 = 10/1}
hope this helps!! have a lovely day :)