The value a is 7.
<h3>What is Straight Line?</h3>
A line is simply an object in geometry that is characterized under zero width object that extends on both sides. A straight line is just a line with no curves.
Here, the given equation of line
y = ax -3
line passing through point (2, 11), then
11 = a X 2 - 3
11 + 3 = 2a
2a = 14
a = 7
Thus, the value a is 7.
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20% of the participants are girls and got a medal, and 33% of the girls got a medal.
<h3>What percent of the participants were girls who received medal?</h3>
First, we know that 40% of the participants were boys, so the other 60% were girls.
We know that 50% of the boys got a medal, so the percentage (in decimal form) of participants that are boys and got a medal is:
P = (0.4)*(0.5) = 0.2
So, 20% of the participants are boys and got a medal.
We know that the number of girls that got a medal is the same as the number of boys, then we also have that 20% of the participants are women who got a medal.
Then if the percentage of girls that got a medal is x (in decimal form), we must have that:
Q = (0.6)*(x) = 0.2
x = 0.2/0.6 = 0.33
x = 0.33
This means that 33% of the girls got a medal.
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Answer:
w=7.8
Step-by-step explanation:
Answer:
JK ≅ MN
Step-by-step explanation:
SAS states that any two sides of the angle and the angle itself, if , of two triangles are equal the two triangles are equal.
It is given that ∠J ≅ ∠M and JL ≅ MR i.e an angle and a side are equal. We need one more side to prove that the two triangles are equal.
If we look at the diagram closely we see that the angles J and M are formed by the sides JK & JL and MN& MR.
It is given that JL ≅ MR so we are left with JK ≅ MN
