Answer:
Figure 2 and figure 4
Yes I agree with Tyler
A
C
D
Step-by-step explanation:
Figures 2 and 4 are not slanted which changes the original form, unlike the others.
I agree with Tyler because the size is not only smaller but it says that it was scaled by 2 more centimeters than the original figure.
I believe its the others because the other one is scaled upwards unlike the rest.
Answer:
50
Step-by-step explanation:
I assume you are asking how much she EARNS after 2 years.
500x.-5=25 interest per year
25 x 2 years = 50 interest for 2 years.
Answer:
C) Similar but not congruent
Step-by-step explanation:
These figures are similar not congruent because:
In order for a triangle to be congruent it has to be the same size and shape.
There is no such thing as congruent but not similar as if it's congruent it is similar.
However, in order for a triangle to be similar it must have the same shape( angles).
So we can see that both triangles are isoceles and the sides of each are in a ratio of 2:1. Meaning that the bigger triangle has sides that are exactly twice as large as the smaller trinage. This also means that the angles are equal. Hence they are similar but not congruent.
Since this is a right triangle, we know we have to use the Pythagorean Theorem: A² + B² = C² , where A and B = the legs of the triangle (which are shorter than the hypotenuse) and C = the hypotenuse.
In this isosceles triangle, A = B (because the legs are the same size) and C is 10cm longer than A and B.
Thus we get the following,
A = x
B = x
C = x + 10
We simply plug in these variables into the equation and solve for x:
x² + x² = (x+10)²
2x² = x² + 20x + 100
x² - 20x - 100 = 0
We solve for x by completing the square:
(x² - 20x + 100) - 100 = 100
(x-10)² -100 = 100
(x-10)² = 200
x - 10 = √(200)
x - 10 = 10 √2
x = 10 + 10√2 = 24
Finally,
A ≈ 24 (or 10 + 10√2)
B ≈ 24 (or 10 + 10√2)
C ≈ 24 + 10 ≈ 34 (or 10 + 10√2 + 10 = 20 + 10√2)
