There are infinitely many ways to do this. One such way is to draw a very thin stretched out rectangle (say one that is very tall) and a square. Example: the rectangle is 100 by 2, while the square is 4 by 4.
Both the rectangle and the square have the same corresponding angle measures. All angles are 90 degrees.
However, the figures are not similar. You cannot scale the rectangle to have it line up with the square. The proportions of the sides do not lead to the same ratio
100/4 = 25
2/4 = 0.5
so 100/4 = 2/4 is not a true equation. This numerically proves the figures are not similar.
side note: if you are working with triangles, then all you need are two pairs of congruent corresponding angles. If you have more than three sides for the polygon, then you'll need to confirm the sides are in proportion along with the angles being congruent as well.
Answer:
c 81
Step-by-step explanation:
Answer:
(1,-7)
Step-by-step explanation:
y= -9x + 2.............equn(1)
y= -3x - 4..........................(2)
subtract equation (1) from equn. (2)
0= -6x + 6
subtract 6 from both sides
0-6= -6x + 6-6
-6 = -6x
divide via by -6
-6/-6 = -6x/-6
x=1
to solve for y, put x in any equation
equation (1)
y=-9x+2
y=-9(1)+2
y=-9+2
y= -7
Answer:
Step-by-step explanation:
Given the data table :
x : __ $2_ $14_ _$20 __ $100
P(x) : 0.40_ 0.20 _0.20 _0.20
The mean :
E(x) = Σ(x*p(x))
E(x) = (2*0.4) + (14*0.2) + (20*0.2) + (100*0.2)
E(x) = 27.6
The standard deviation :
SD(x) = sqrt(Σ(x² * p(x)) - E(x)²)
Σ(x² * p(x)) - E(x)² :
((2^2*0.4) + (14^2*0.2) + (20^2*0.2) + (100^2*0.2)) - 27.6^2
2120.8 - 761.76
= 1359.04
Sqrt(1359.04)
SD(x) = 36.865159
SD(x) = 36.87
Answer: D. (0,10)
Why:
Your given equation is 5x+2y=20, so in order to find the y-intercept, we must put it in slope-intercept form, a.k.a. y=max+b.
To do this, subtract 5x from both sides. This will then give you 2y=-5x+20.
And to fully simply, divide both sides by 2. Finally, you get y=(-5/2)x+10. And since we know b in slope-intercept form is the y-intercept, and 10 is b in our final function/equation. We get the answer of y-intercept=(0,10)
