Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:
m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°
Combine like terms:
48° + 3x° = 90°
Subtract 48° from both sides:
48° - 48° + 3x° = 90° - 48°
3x = 42°
Divide both sides by 3 to solve for x:
3x/3 = 42/3
x = 14°
Plug in the value of x into the equation to fins m< 1 and m < 2:
m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°
90° = 90° (True statement)
Therefore:
m < 1 = 62°
m < 2 = 28°
1. the gcf is 3
2. add up to 15
3. multiply to 18
Answer:
3 books per box, 3 left over.
Step-by-step explanation:
Brian has 18 books, and he is packing them into 5 boxes. 18 is only divisible by 1, 3, 9, and 18.
1 x 5 = 5 books = 13 left over. Still enough to pack more books.
3 x 5 = 15 books = 3 left over. This is the answer, but let's check the others as well.
9 x 5 = 45 books. He doesn't have that many! He can't put 9 books in each box because it would only take 2 boxes he's using all 5.
18 x 5 = 90 books. We can clearly see this isn't the answer. He would only be able to put all 18 books in 1 box but he wants to use all 5 boxes.
There are 3 books in each box with 3 left over.
Answer:
- Rational Number
- Real numbers
Step-by-step explanation:
Answer:
C. -21 is your answer
Step-by-step explanation:
Solve for t. Isolate the variable t in the first equation, then use the number gotten to solve the second equation.
3t - 7 = 5t
First, subtract 3t from both sides
3t (-3t) - 7 = 5t (-3t)
-7 = 5t - 3t
-7 = 2t
Isolate the variable (t). Divide 2 from both sides
(-7)/2 = (2t)/2
t = -7/2
t = -3.5
Plug in -3.5 for t in the second equation
6(t) =
6(-3.5) =
6(-3.5) = -21
C. -21 is your answer
~
