Answer:
Below.
Step-by-step explanation:
Angle 1 = (3/(3+4+5) * 180 = 3/12 * 180
= 45 degrees.
Angle 2 = 4/12 * 180 = 60 degrees.
Angle 3 = 5/12 * 180 = 75 degrees.
Answer:
#18) <em>m</em>∠B = 107°
#19) <em>m</em>∠B = 17°
Step-by-step explanation:
*Supplementary angles are angles who's measures equal 180°
*Complementary angles are angles who's measures equal 90°
#18) If ∠A is 73°, then we must subtract 73 from 180.
180 - 73 = 107
This means that <em>m</em>∠B = 107°.
#19) If ∠A is 73°, then we must subtract 73 from 90.
90 - 73 = 17
This means that <em>m</em>∠B = 17°.
<u>A </u><u>pair of shoes</u><u> gives us</u><u> 48 </u><u>different outfits.</u>
What is a linear equation?
- A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
- The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linear
We will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.
If mom buys 1 shirt, then total shirts(A) = 6+1 =7, total pants(B) = 2 and total shoes (C) = 3
By basic counting principle, number of outfits = A*B*C = 7*2*3 = 42 outfits possible
and
If mom buys 1 pair of shoes, then total shirts(A) = 6, total pants(B) = 2 and total shoes (C) = 3+1 = 4
By basic counting principle, number of outfits = A*B*C = 6*2*4 = 48 outfits possible
hence, buying a pair of shoes gives us 48 different outfits.
Learn more about linear equation
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Answer:
-5x³ -5x² -9x - 4
Step-by-step explanation:
(-6x³-4x²-8)+(x³-x²-9x+4)
Add the like terms.
-6x³ and x³ are like terms. -6x³ + x³ = -5x³
-4x² and -x² are like terms. -4x² - x² = -5x²
-8 and 4 are like terms. -8 + 4 = -4
-6x³-4x²-8 +x³-x²-9x+4 = -5x³ -5x² -9x - 4