Answer:
7
Step-by-step explanation:
formula for circumference of a circle is
d
7
=
d
d = 7
Answer:
No because the chairs would have to be the price of $62.00
Step-by-step explanation:
divide 558 by 9
so if the chairs had been 62 dollars then he would have enough
Answer:
Kevin is going to be able to have enough money for the concert the fastest
Philip needs at least 4 weeks
Kevin needs at least 3 weeks
Step-by-step explanation:
<u>Philip</u>
- $8.75/hour * 6 hours/weekend * 1 weekend/week = $52.5/week
Let's call x to the number of weeks Philip needs to reach $225.
52.5*x + 45 = 225
52.5*x = 225 - 45
x = 180/52.5
x = 3.43
He needs at least 4 weeks
<u>Kevin</u>
- 3 hours/day * $7.5/hour *3 days/week = $67.5/week
Let's call y to the number of weeks Kevin needs to reach $225.
67.5*y + 30 = 225
67.5*y = 225 - 30
y = 195/67.5
y = 2.9
He needs at least 3 weeks
Triangle JKL has vertices J(2,5), K(1,1), and L(5,2). Triangle QNP has vertices Q(-4,4), N(-3,0), and P(-7,1). Is (triangle)JKL
Tems11 [23]
Answer:
Yes they are
Step-by-step explanation:
In the triangle JKL, the sides can be calculated as following:
=> JK = 
=> JL = 
=> KL = 
In the triangle QNP, the sides can be calculate as following:
=> QN = ![\sqrt{[-3-(-4)]^{2} + (0-4)^{2} } = \sqrt{1^{2}+(-4)^{2} } = \sqrt{1+16}=\sqrt{17}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-3-%28-4%29%5D%5E%7B2%7D%20%2B%20%280-4%29%5E%7B2%7D%20%20%7D%20%3D%20%5Csqrt%7B1%5E%7B2%7D%2B%28-4%29%5E%7B2%7D%20%20%7D%20%3D%20%5Csqrt%7B1%2B16%7D%3D%5Csqrt%7B17%7D)
=> QP = ![\sqrt{[-7-(-4)]^{2} + (1-4)^{2} } = \sqrt{(-3)^{2}+(-3)^{2} } = \sqrt{9+9}=\sqrt{18} = 3\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-7-%28-4%29%5D%5E%7B2%7D%20%2B%20%281-4%29%5E%7B2%7D%20%20%7D%20%3D%20%5Csqrt%7B%28-3%29%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%20%20%7D%20%3D%20%5Csqrt%7B9%2B9%7D%3D%5Csqrt%7B18%7D%20%3D%203%5Csqrt%7B2%7D)
=> NP = ![\sqrt{[-7-(-3)]^{2} + (1-0)^{2} } = \sqrt{(-4)^{2}+1^{2} } = \sqrt{16+1}=\sqrt{17}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-7-%28-3%29%5D%5E%7B2%7D%20%2B%20%281-0%29%5E%7B2%7D%20%20%7D%20%3D%20%5Csqrt%7B%28-4%29%5E%7B2%7D%2B1%5E%7B2%7D%20%20%7D%20%3D%20%5Csqrt%7B16%2B1%7D%3D%5Csqrt%7B17%7D)
It can be seen that QPN and JKL have: JK = QN; JL = QP; KL = NP
=> They are congruent triangles
Answer:
Step-by-step explanation:
take two points on the line ,i take (-4,0) and (0,-2)
slope=(y2-y1)/(x2-x1)=(-2-0)/(0+4)=-2/4=-1/2