Answer:
x=3. y=6
Step-by-step explanation:
So, to solve x and y, we need to take the equivelent sides of the two triangles, take their equations, and solve them.
So to find what x equals, we can take the 13, and make it equal to the 4x+1:
13=4x+1
Subtract the one from both sides:
12=4x
Divide both sides by 4:
3=x
Or
<u>x=3</u>
So we know the x value is 3.
Now lets solve for y using the bottom equations:
2x+y=8x-2y
Subtract 1y from both sides:
2x=8x-3y
Subtract 8x from both sides:
-6x=-3y
Divide both sides by -6:
x=1/2y
So we already know that x=3, lets plug that in for x, and solve for y:
3=1/2y
Or
1/2y=3
Multiply both sides by 2 to get 1y:
<u>y=6</u>
So we know that y is equal to 6.
Hope this helps!
Answer:
The triangle goes into the square 8 times. Find the area of the triangle and multiply by 8 :) hope this helps, let me know if you need more of an explanation.
Answer:
x=2√5
Step-by-step explanation:
<u>1st method:</u>
sin(30)=opposite/hypotenuse=√5/x
sin(30)x=√5
x=√5/sin(30)
x=2√5
<u>2nd method:</u>
cos(60)=adjacent/hypotenuse=√5/x
cos(60)x=√5
x=√5/cos(60)
x=2√5
<u>3rd method:</u>
This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5
The circumference of a circle with a diameter of 30 centimeters is 94.25 cm
I hope this helped! : )
Answer:
1) y = 1/2 x + 3 and y = 1/2 x are parallel
2) y = 1/2 x + 4 and y = 1/2 x + 1 are parallel
Step-by-step explanation:
Two lines are parallel only if their slope is equal.
1)
In the first problem:
y = 1/2 x + 3 and y = 1/2 x have same slope ( i.e slope = 1/2)
That means these two equations are parallel to each other.
2)
In the second problem:
y = 1/2 x + 4 and y = 1/2 x + 1 have same slope( i.e slope = 1/2)
Hence above two equations are parallel to each other.
