Answer:
<h2>15</h2>
Step-by-step explanation:
∠6 and ∠7 are Alternate Interior Angles.
The lines l and m are parallel, therefore ∠6 and ∠7 are congruent.
m∠6 = m∠7 → 4x - 15 = x + 30 <em>add 15 to both sides</em>
4x = x + 45 <em>subract x from both sides</em>
3x = 45 <em>divide both sides by 3</em>
x = 15
6(a + 3) = 18 + 6a
6a + 18 = 18 + 6a
6a - 6a = 18 - 18
0 = 0
The solution is all real numbers.
Answer:
133 pieces of 15cm can be cut from the ribbon.
Step-by-Step Explanation:
Length of ribbon = 20 meters
Length needed to be cut = 15 cm
We will convert meters into centimeters.
1 meter = 100 cm
20 meters = 2000 cm
Number of pieces =
Number of pieces = 133.33
Rounding off to nearest whole number = 133
Hence,
133 pieces of 15cm can be cut from the ribbon.
Answer:
D'(-14,1), F'(4,1) and E'(4,7)
Step-by-step explanation:
Let's take each point and dilate about the point (1,1) using rule (x,y)--->(kx,ky). Where 'k' is dilation factor