Answer:
If two figures are similar, then the correspondent sides are related by a constant factor.
For example, if the base of one side of one of the figures has a length L, then the correspondent side of the other figure has a length k*L where k is the scale factor.
Let's start with the two left triangles.
In the smaller one the base is 5, and the base of the other triangle is 15.
Then we will have:
15 = k*5
15/5 = k = 3
The scale factor is 3.
Then we will have that:
a = scale factor times the correspondent side in the smaller triangle:
a = k*3 = 3*3 = 9
a = 9
For the other two triangles, the base of the smaller triangle is 12, while the base of the larger triangle is 20.
Then we will have the relation:
12*k = 20
k = (20/12) = 10/6 = 5/3
The scale factor is 5/3
This means that the unknown side b is given by:
b*(5/3) = 15
b = (3/5)*15 = 3*3 = 9
b = 9.
Answer:
Negative five is in fact a rational number.
Step-by-step explanation:
Rational numbers can either be negative or positive. An irrational number would be pi (3.14159 etc.)
In this case just change the variables by the numbers. (1,5)
x=1 y=5
1^2 + 5^2 = 26
1+25=26
26=26 *this one is the answer...
TRUE
x2 + y2 = 16
1^2 + 5^2=16
1+25=16
26=16
False
x2 + y2 = 13
1^2 + 5^2=13
1+25=13
26=13
False
x2 + y2 = 11
1^2 + 5^2=11
1+25=11
26=11
False
So we can say that the first one is the answer.
I think it would 80/100 because £1 is 100 and we trying to work out the fraction of 80p of £1. So it would be 80/100. Hope this helps.
