Answer:
The measure of angle YUV is equal to 
Step-by-step explanation:
see the attached figure to better understand the problem
we have that
-----> given problem
so
------> by central angle
we know that
The triangle UZV is an isosceles triangle
because

so
-----> bases angle of the isosceles triangle
Remember that
The sum of the internal angles of a triangle is equal to 
so


substitute and solve for m<ZUV


------> by complementary angles
solve for m<YUZ


Width = 10cm
Length = 25cm
<u>Explanation:
</u>
Given, width:length = 2:5
Let width = 2x ,
So, length = 5x
Perimeter of rectangle = 2x(length + width)
According to the question,

Hence,
Width = 10cm
Length = 25cm
I think this is what it's asking for...
a) 17 is the total amount ran
5 is the number of miles
x is the hours (which is unknown)
you have to find x. the problem says that there are 5 miles per hour so your x would go with your 5. the 17 stays on the opposite side of the =
17=5x
b) to find the amount of time (x) just solve for x
17=5x is your equation
you now have to isolate the x (do this by dividing 5 on both sides of the equation)
5/x= x alone
17/5=3.4
3.4=x
* remember that x is hours in this problem, so round if you need too
For this case we have that the total of the balls is 86. We know there are 8 footballs then:
Basketball: Two more than twice the number of footballs are basketballs, that is:

There are 18 Basketballs.
Baseballs: Four less than 5 times the number of footballs are baseballs, that is:

There are 36 Baseballs.
Softballs: Six more than half of baseballs are softballs. That is to say:

There are 24 Softballs
If we add we must get 86.

ANswer:
There are 8 Footballs
There are 18 Basketballs.
There are 36 Baseballs.
There are 24 Softballs
Answer:
$420
Step-by-step explanation:
The formula for simple interest is i = prt, where p is the principal, r is the annual interest rate expressed as a decimal fraction, and t is the number of years.
Here p = $2,000, r = 0.07 and t = 3 yr, and so
i = ($2,000)(0.07)(3) = $420 was the amount of interest earned.