Answer:
SSS
Step-by-step explanation:
it shows that all three sides are congruent by the congruency lines
it does not show any angles, and it does not show only one or two sides are congruent
Answer:
Step-by-step explanation:
The standard form of a circle is
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
If we are given x and y as 0 and 5 respectively, and we are also told that the center is (0, 0), our h and k are both 0. Filling in x, y, h, and k we can find the radius. So let's do that:
and
so
Our circle's equation is
Since the point in question, (4, 4), lies in the first quadrant, we will concentrate on that quadrant only. To fall within the circle, we can set up an inequality and test the point (4, 4). If it lies ON the circle then the equality would be true. Let's try that first:
![4^2+4^2=25](https://tex.z-dn.net/?f=4%5E2%2B4%5E2%3D25)
Obviously, 16 + 16 does not equal 25, so that point (4, 4) does not lie ON the circle. In fact from that statement alone, we can determine that the point lies outside the circle because
![4^2+4^2>25](https://tex.z-dn.net/?f=4%5E2%2B4%5E2%3E25)
If the inequality < were true then the point would lie inside.
Answer:
What is the value of x?
<em>x = 40 degrees.</em>
What is the measure of angle AFE?
<em>Angle AFE = 140 degrees</em>
What is the measure of angle BFD?
<em>Angle BFD = 140 degrees.</em>
Step-by-step explanation:
Angle AFC is 90 degrees.
To find angle x, we have to subtract angle BFC.
90 - 50 = 40 degrees.
Line BFE is 180 degrees.
To find angle AFE, we have to subtract angle x from 180 degrees.
We have solved x already.
180 - 40 = 140 degrees.
Angle BFD is just 90 degrees plus 50 degrees.
90 + 50 = 140 degrees.
Answer: interest at the end of 3 years is $495.72
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time in years
I = interest after t years
From the information given
T = 3 years
P = $3,672
R = 4.5%
Therefore
I = (3672 × 4.5 × 3)/100
I = 49572/100
I = 495.72