Answer:
Yes
Step-by-step explanation:
There is a proportional relationship between x and y it's 5.
Think about it when x is 1 y is 5
When x is 2 y is 10
When x is 5 y is 25
When x is 7 y is 35
To get this for this question all you have to do is multiply x by 5 to get y.
That's how you know it's proportional.
Hope this helps!!!
<h2>
Answer:</h2>
<em><u>(B). </u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
Let the total number of geese be = 100x
Number of Male geese = 30% = 30x
Number of Female Geese = 70x
Let us say 'kx' geese migrated from these geese.
Number of migrated Male geese = 20% of kx = kx/5
Number of migrated Female geese = 4kx/5
So,
<u>Migration rate of Male geese</u> is given by,
<u>Migration rate of Female geese</u> is given by,
So,
The ratio of Migration rate of Male geese to that of Female geese is given by,
![\frac{\left[\frac{(\frac{kx}{5})}{30x}\right]}{\left[\frac{(\frac{4kx}{5})}{70x}\right]}=\frac{350}{4\times 150}=\frac{7}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cfrac%7B%28%5Cfrac%7Bkx%7D%7B5%7D%29%7D%7B30x%7D%5Cright%5D%7D%7B%5Cleft%5B%5Cfrac%7B%28%5Cfrac%7B4kx%7D%7B5%7D%29%7D%7B70x%7D%5Cright%5D%7D%3D%5Cfrac%7B350%7D%7B4%5Ctimes%20150%7D%3D%5Cfrac%7B7%7D%7B12%7D)
Therefore, the<em><u> ratio of the rate of migration of Male geese to that of Female geese is,</u></em>
<em><u>Hence, the correct option is (B).</u></em>
<em><u></u></em>
Answer:
x= 60°, y = 80°, z = 40°
Step-by-step explanation:
Look at the line substending 40° and Z°; you would see that both lines are parallel and so their angles are they the same.
Hence z= 40° { corresponding angles of parallel lines}
Similarly;
Look at the line substending 60° and x°; you would see that both lines are parallel and so their angles are they the same.
60° = x° { corresponding angles of parallel lines}
Now looking at the angle between x and y; let's call the angle between them r
And you would observe closely that r = z° = 40°{ vertically opposite angles are equal}
Note that x + r + y = 180°{ angle on a straight line}
y = 180° - ( x + r)
y = 180 - (60+40)
y = 180° - 100°
= 80°
Answer:
y = 1/2x - 6
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - (-5) / 8 - 2
3 / 6
= 1/2
y = 1/2x + b
-5 = 1/2(2) + b
-5 = 1 + b
-6 = b
Answer:
Yes
Step-by-step explanation:
Conditions for the sides to form a triangle is that sum of any two sides should be greater than the third side.
6 + 18 = 24
24 > 14
18 + 14 = 32
32 > 6
6 + 14 = 20
20 > 18
Therefore,
sides 6, 18 and 14 forms a triangle.
