Answer:
63 degrees
Step-by-step explanation:
Since the angles are going counter-clockwise, angle 2 and angle 3 are supplementary, meaning that they add up to 180 degrees.
Since angle 2 is 117 degrees, 180 - 117 = 63. Therefore, angle 3 is 63 degrees
Answer:
5
Step-by-step explanation:
The best definition of the properties of equality is: A group of rules that help you understand how each side of an equation is related to the other.
<h3>Equation</h3>
By definition, an equation is a mathematical expression with an equality sign separating each side of the expression.
- In which case, each side of the equation is equal to the other.
Read more on equations:
brainly.com/question/12790939
Answer:
56 ÷ 8 = p
Step-by-step explanation:I
If you want to find how many packs there are, it would be 56 divided by 8 would equal p.
Answer:
21) 12 cm
22) 5.9 cm
Step-by-step explanation:
21) The base is 10, and if the other two sides are congruent and the perimeter is 36, we can figure out with simple algebra that the sides are 13 cm long.
Half of 10 is 5, so we can use the pythagorean theorem.
5^2+x^2=13^2
Rearranging the variables we have 169-25=x^2
144=x^2
x can be plus or minus 12, but since negative length is impossible we find that x is positive 12 cm.
22) We want to use sine, because we have opposite and hypotenuse. A simple and easy way to memorize this is the SohCahToa method. If we have opposite (O) and hypotenuse (H) we have OH. Soh has the letters O and H, and the S means we should use sine.
sine 36=a/10
Plug this into a calculator or desmos scientific calculator to get a=5.9