We start with:
y=2x-15
y=5x
Now, we have a perfectly set-up variable we can get rid of: <em>y.</em>
But we need to make either the top or bottom equation negative, so for simplicity, let's make the bottom one negative.
y=2x-15
(-y)=(-5x)
Now simplify.
-3x-15=0
Add 3x on both sides.
3x=15
Divide by 3 on both sides.
x=5
Answer:
Order of symmetry = 1
Step-by-step explanation:
First of all we will define rotational symmetry.
Rotational symmetry is when a shape looks the same after some rotation or less than one rotation.
The order of rotational symmetry is how many times it matches the original shape during the rotation.
The given shape, when rotated will only have the shape like original shape after one complete rotation so the order of symmetry is one ..
Answer:
0.86
Step-by-step explanation:
Draw the triangle.
Since ∠J=90°, this is a right triangle, so we can use SOH-CAH-TOA to find sin∠I.
sin∠I = 56/65
sin∠I = 0.86
Answer:
48 in
Step-by-step explanation:
The length of the rug is 6 feet. We know this must account for 2 sides of the rug, so let's multiply 6 by 2.
6 × 2 = 12
Now subtract 12 from 20.
20 - 12 = 8
Now divide 8 by 2 to find the measurement of the remaining two sides.
8 ÷ 2 = 4.
The width of the rug is 4 feet. The question wants to find the width in inches, however. So multiply 4 by 12 because there are 12 inches in each foot.
4 × 12 = 48
The width of the rug is 48 inches.
