Answer:
negative
Step-by-step explanation: it has negative signs
51 ÷ 3 = 17
17 were in the van
51 - 17 = 34
34 were in the bus
no it isn't. 2cos(x) is 2 multiplied by cos(x), cos (2x) is cos(2 multiplied by x) meaning 2x is the angle you're taking the cosine of. if you want to know what cos(2x) look up the double angle rule.
<u>Question 11</u>
1)
,
(given)
2)
(reflexive property)
3)
(ASA)
4)
(CPCTC)
<u>Question 12</u>
1) Isosceles
with
,
(given)
2)
(angles opposite congruent sides in a triangle are congruent)
3)
and
are supplementary.
and
are supplementary (angles that form a linear pair are supplementary)
4)
(supplements of congruent angles are congruent)
5)
(SAS)
6)
(CPCTC)
7)
is an isosceles triangle (a triangle with two congruent sides is isosceles)
<em>Note: I changed the names of the segments in Question 11 because of the word filter.</em>
For this case, the first thing we must do is define variables.
We have then:
x = Carli's bill
y = Angela's bill
We have then:
"their total bill was $ 109"
x + y = 109
"Carli went over her data limit on her phone, so her share of the bill was $ 15 more than Angela's"
x = y + 15
Answer:
A system of equations that represents this situation is:
x + y = 109
x = y + 15