1. so the scale factor between the two shapes 2/3 because 6 is 2/3 of 9
and 9 is 3/2 of 6. Therefore y would equal 6 also, x would equal 8, because 8 is 2/3 of 12, and z would equal 5 1/4.
Sorry but I don't know how to work out the second one.
Hi there! :)
Answer:
Common difference
Next three terms
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Find the common difference by subtracting the previous term from a term. We can use the terms 1/4 and 1/2:
Convert 1/2 into a fraction over 4:
1/2 · 2/2 = 2/4
Find the common difference by subtracting the fractions:
2/4 - 1/4 = 1/4. This is the common difference.
Find the next 3 terms by adding 1/4:
5/4 + 1/4 = 6/4 (Reduce fraction) = 3/2
6/4 + 1/4 = 7/4
7/4 + 1/4 = 8/4 (Reduce fraction)
Therefore, the next 3 terms are 3/2, 7/4 and 2.
-2=-(x-8)
-2=-x + 8
-10= -x
x = 10
Answer:
11
Step-by-step explanation:
12 units squared
Step-by-step explanation:
You realize that the shape can be divided into 3 shapes;
2 right-angled triangles (one small and one bigger one) and a rectangle. We can find the area of each and then sum them up. Because we are finding area under the shape, the negative signs will be ignored;
Larger right-angled triangle;
½ b * h
½ * 4 * 4 = 8
Smaller right-angled Triangle;
½ * b * h
½ * 2 * 2 = 2
Rectangle;
L * W
2 * 1 = 2
Sum of all the areas;
2 + 2 + 8 = 12
= 12 units squared
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