Answer:
Number of $1 coins are 25 and number of 50 cent coins are 30.
Step-by-step explanation:
Let's set up the equations.
Let there are x number of $1 coins
There are y number of 50 cent coins
So, x+y =55
1 x+0.50 y =40
Solve the equations for x and y.
Solve the first equation for y.
y=55-x
Substitute y as 55-x into the second equation.
1 x+0.50(55-x)=40
Solve the equation for 'x'.
Distribute the 0.50 to get rid the ( ).
1 x+27.5-0.50 x= 40
Combine like terms
0.50 x +27.5=40
Subtract both sides 27.5
0.50 x =12.5
Divide both sides by 0.50
x=25
Now, plug in x as 25
y=55-25
y=30
So, number of $1 coins are 25 and number of 50 cent coins are 30.
Answer:
(x-1)^2 + (y-4)^2 = 5^2
Step-by-step explanation:
Using the standard equation of a circle with center at (h, k) and radius r:
(x-h)^2 + (y-k)^2 = r^2, we substitute 1 for h, 4 for k, 4 for x and 8 for y:
(4-1)^2 + (8-4)^2 = r^2, or
9 + 16 = 25 = r^2
Thus, the radius is 5
and the equation is (x-1)^2 + (y-4)^2 = 5^2. This matches the 2nd answer choice.
I’m pretty positive it’s 4 units. good luck!
Answer:
32.008
Step-by-step explanation:
If these 2 triangles are similar to each other, the corresponding sides have to exist in proportion to one another. The angles would be exactly the same (side length doesn't matter at all!). Going from the bigger triangle to the smaller, KL corresponds to RS; LJ corresponds to SQ; JK corresponds to QR. The ratio of KL:RS is 5:1; the ratio of LJ:SQ is 5:1; the ratiio of JK:QR is 5:1. That means that the sides are all proportionate and the triangles are similar by the SSS postulate. Now that we know that the triangles are similar, we can say that all the corresponding angles are the same by CPCTC but we had to determinte side similiarity first. Your answer is the second choice, SSS
