Answer:
(4,3), (−4,8), (−4,3)
(2.5,−4), (0,0), (0,−4)
Step-by-step explanation:
On plotting on graph all form right angled triangle.
Dimension of all triangles and tanФ
- Base=2 Height=5 tanФ 2.5
- Base=5 Height=3 tanФ 1.6
- Base=8 Height=5 tanФ 1.6
- Base =2.5 Height=4 tanФ 1.6
[Here base and height can be interchanged if needed]
Ratio of perpendicular and base of last two triangle is equal.
First two are not congruent to any of other triangle but 3rd and 4th triangle are congruent .
Their coordinates are:
(4,3), (−4,8), (−4,3)
(2.5,−4), (0,0), (0,−4)
Answer:
70
Step-by-step explanation:
Since 2:7 is the ratio of boys to girls, that would mean that there are 2 boys to every 7 girls. 2 x 10 is what gets us to 20 and for the ratio part for girls we have to do the same thing; 7 x 10. Now the ratio is 20:70. We can make sure that we are correct by multiplying. 2 can multiply 3.5 times until it gets to 7. So 20 x 3.5 is 70.
Answer: distance = rate x time d
Step-by-step explanation:
Answer:
The mean is 80 and the standard deviation is 20. Therefore we have
65 is 0.75 standard deviation below the mean.
Step-by-step explanation:
z = 
Since 85 is 0.25 standard deviations above the mean we have
or 0.25·σ = 85 - μ......1
1.5 = 
or 1.5·σ = μ - 50..............2
From 1 we have σ = 340 - 4·μ substituting into 2 gives
1.5·(340 - 4·μ) = μ - 50 ⇒ 510 - 6·μ = μ - 50
7·μ = 560 or μ = 80
Therefore σ = 340 - 4·μ = 340 - 4·80 = 20
A value, x, 0.75 standard deviation below the mean is given by
0.75 = 
which gives 15 = 80 - x or
x = 65.
