Lets say the race is x km long.
That means she ran 65% of x.
And that also means that 65% of x = 3
So 65%*x=3
65/100x=3
x=3*100/65
x=300/65
x=4.62
Answer:
Step 2, he didn't add the values he completed the square with to both sides.
Step-by-step explanation:
When you complete the square, you need to add the values to both sides, not just one.
So when Homer added 49 + 1 or 50 to the left side of the equation, he should've also added 50 to the right side of the equation.
Hence, the equation would now be :
(x-7)^2 + (y+1)^2 = 75
Answer:
Step-by-step explanation:
The triangles are drawn below.
CD is perpendicular to AB as CD is height to AB.
Therefore, angles 
°
So, triangles ΔCBD and ΔCAD are right angled triangles.
Now, from the right angled triangle ΔABC,
From ΔCBD,
is same as 
.
So, 
Now, from ΔCAD,
is same as 
So, 
Hence, the unknown angles of both the triangles are:
Answer:
y=65
x=50
Step-by-step explanation:
exterior angle of a triamgle is equal to sum of two interior angles
so
2y=130(as it is isosceles triangle)
y=65
we know y+y+x=180(sum of all angles of triangle)and (vertically opposite angle)
therefore, x=50
The graph represents y=-4x-1
If you notice the line, it goes past the -1 on the y axis which indicates that the y intercept is -1 since that was the only choice which displayed this, we know that our answer is y=-4x-1
