For question 4, 
units,
For question 5, 
units.
Step-by-step explanation:
Step 1:
Since the given polygons are similar to each other, all the ratios of one polygon to the other will remain equal for all the values of the two similar polygons.
We take the ratio of the same sides of both polygons i.e. the ratio of the lengths or the ratio of the widths.
Step 2:
For question 4, the first rectangle has a length of 9 units while the width is 3 units.
For the second rectangle, the length is x as x is greater than the width in the first rectangle. The width is 6 units.
The ratio of the first rectangle to the second is;
So units.
Step 3:
The shapes in question 5 are made of a square and a triangle.
For the first shape, the side length is 6 units while the side of the triangle is 10 units.
For the second shape, the side length is 5 units while the side of the triangle is x units.
The ratio of the first shape to the second is;
So units.
Answer:
Step-by-step explanation:
A
The marble is red. There are 6 red marbles out of ten. So the answer is
6/10 = 0.60
B
Red: 1 3 5
Blue: 1 3
So there are 5 ways that you can draw an odd number. The problem is that they are not evenly distributed.
Red: 1/2 * 3/6 = 1/4 = 0.25
Blue: 1/2 * 2/4 = 0.25
Red + blue = 1/4 + 1/4 = 1/2
You could have gotten 1/2 by taking 5/10 but that won't always work.
C
Answer:
J. 12 : 18
Step-by-step explanation:
Amy used 2 tea bags for every 3 cups of water to make iced tea
the ratio here is 2:3
x = 2:3
lets simplify our ratios
6 : 10 = 3 : 5 ≠ 2 : 3
5 : 6 = (doesn't simplify evenly) ≠ 2 : 3
9 : 15 = 3 : 5 ≠ 2 : 3
12 : 18 = 2 : 3 = 2 : 3
<h3>
Simplifying</h3>
find their highest common factor and divide both the numbers by the <u>same amount</u> (HCF).
Ex.
12 : 18
12 ÷ 6 = 2
18 ÷ 6 = 3
2 : 3
Answr:
p=−7/2
Step-by-step explanation:
Simplify both sides of the equation.
p+
1
2
=−3
Step 2: Subtract 1/2 from both sides.
p+
1
2
−
1
2
=−3−
1
2
p=
−7
2
39x^3 = 13*3*x*x*x
-6x^2 = 2*3*x*x*-1
-3x = 3*x*-1
so in all these factorizations, 3*x is common. so 3x is the common factor.
by seperating the common factor,
3x(13x^2 - 2x-1)
will be the factorization.
xy + 5x - 5y - 25
=x (y+5) -5 (y+5)
=(x-5) (y+5)
hope I helped ya!!!
