True because the center is (2,1) and radius is 2
<t =33 since triangle RUT is isosceles (RU = TU)
<r + <u + <t = 180 triangle = 180
33 + <u + 33 = 180
66 + <u = 180
< u =114
<rus = < sut from the diagram
<rus + <sut = <u
x + x = 114
2x = 114
divide by 2
x = 57
Answer:
he made the mistake on step one, he didn't distribute correctly
Step-by-step explanation:
-5(x-1) = -5x +5
not -5x - 1
Answer:
Please see the attached images for explanation:
Step-by-step explanation:
Please let me know if you have any questions :)
Answer:
7
Step-by-step explanation:
We want to find the number 4-digit of positive integers n such that removing the thousands digit divides the number by 9.
__
Let the thousands digit be 'd'. Then we want to find the integer solutions to ...
n -1000d = n/9
n -n/9 = 1000d . . . . . . add 1000d -n/9
8n = 9000d . . . . . . . . multiply by 9
n = 1125d . . . . . . . . . divide by 8
The values of d that will give a suitable 4-digit value of n are 1 through 7.
When d=8, n is 9000. Removing the 9 gives 0, not 1000.
When d=9, n is 10125, not a 4-digit number.
There are 7 4-digit numbers such that removing the thousands digit gives 1/9 of the number.
