Answer:
20 = 6m or m = 20/6 = 10/3
Step-by-step explanation:
Let's say Samantha has s marbles and Paul has m marbles.
We know that s = 20 and that Samantha has 6 times as many marbles as Paul. This means s = 6m.
Substitute 20 in for s:
20 = 6m
m = 20/6
Thus, the equation is m = 20/6.
<em>~ an aesthetics lover</em>
Answer:
A line parallel has the same slope, so -3
Answer:
90°, 60°, and 30°
60°.
Step-by-step explanation:
The triangle ABC has side lengths √6, √2, and 2√2 units.
It is clear that the triangle ABC is right triangle because (2√2)² = (√6)² + (√2)² that means the side lengths satisfy the Pythagoras Theorem.
Now, if the angle between hypotenuse (2√2 units) and base (√2 units) is
, then

Hence,
= 60°
Therefore, the three angles of the triangle are 90°, 60°, and 30°.
Now, if the base of the triangle is 16 units, then other two side lengths will also change proportionally to remain the triangle a right triangle.
And in that case the base angle will remain 60°. (Answer)
Answer:5in
Step-by-step explanation:
1. Identify the triangle
you are given a right triangle with the hypotonus missing and are given the side lengths 3 and 4 you know the hypotonus is 5 by the 3,4,5 Pythagorean tripe, if you do not notice this it can be solved with the Pythagorean theorem a^2+b^2=c^2
2. solve (if not done with 3,4,5 triple)
3^2+4^2=c^2
9+16=c^2
25=c^2
5=c | square root both sides to cancel the square
To find the answer you need to find the common factor of numbers 25 and 60
25,50,75,100,125,150,175,200,225,250,275,300
60,120,180,240,300
The 300th customer will receive both cards, and a total of $220 and 17 gift cards were given away.