Answer:
{1,4}
Step-by-step explanation:
A={3,6,9}
B={2,3,5,7}
C={1,2,3,4,5}
AUB={2,3,5,6,7,9}
(AUB)'={1,4,8,10}
(AUB)'⋂C={1,4}
Answer: She has 21.63 more euros than pounds and has 1.23 times more euros than pounds.
Step-by-step explanation:
She has US$300, and she will withdraw half of it on pounds, and half of it in euros.
(half of US$300 is US$150)
We know that:
1 pound = US$1.6
(1 pound/US$1.6) = 1
Then US$150 = US$150*(1 pound/US$1.6) = (150/1.6) pounds = 93.75 pounds.
And we also know that:
1 euro = US$ 1.3
then:
(1 euro/US$ 1.3) = 1
This means that:
US$150 = US$150*(1 euro/US$ 1.3) = (150/1.3) euros = 115.38 euros.
This means that:
115.38 - 93.75 = 21.63
This means that she has 21.63 more euros than pounds.
and:
115.38/93.75 = 1.23
She has 1.23 times more euros than pounds.
On this picture is shown a quadrilateral inscribed in a circle and by the Inscribed Quadrilateral Theorem the angles on the opposite vertices are supplementary, or in other words are equals to 180 degrees.
On this exercise it is asked to find the measure of angle B, First of all, you need to find the value of x. To so you have to select two opposite angles on this case angles A and C.
m<A+m<C=180 Substitute the given values for angles A and C
x+2+x-2=180 Combine like terms
2x=180 Divide by 2 in both sides to isolate x
x=90
Now, that the value of x is known you can substitute it in the expression representing angle D, and then subtract that number from 180 to find the measure of angle B.
m<D=x-10 Substitute the value of x
m<D=90-10 Combine like terms
m<D=80
m<B=180-m<D Substitute the value of angle D
m<B=180-80 Combine like terms
m<B=100
The measure of angle B is 100 degrees, and the value of x is 90.
If it is #17 this:
the class sold 45 sandwiches and collected $150.75, all you need to do is divide.
150.75/45
= 3.35
$3.35 per sandwitch
