<span>According to the Exterior Angle Theorem, the</span> measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.
11x+2=5x+10 + 58
6x=66
x=11
The equations are dependent (they're the same equation).
If you multiply the bottom one by 5, you get the top one.
Answer:
there are 11 big-bags and 24 small-bags.
Step-by-step explanation:
there are x big-bags and y small-bags.
so now we can know:
(1) x + y = 35
(2) 12x + 7y = 300
in (1),we can do like this:
both left and right x7
then (x + y)x7 = 35 x 7
then 7x + 7y = 35 x 7
then 7x + 7y = 245
now,
(1)7x + 7y =245
(2)12x + 7y = 300
we can both left and right do this: (2) - (1)
then
(12x + 7y) - (7x + 7y) = 300 -245
then
12x + 7y - 7x - 7y = 300 -245
then
12x - 7x +7y - 7y =300 -245
then
5x =55
then
5x ÷ 5 = 55 ÷ 5
then
x = 11
because
x + y =35;x=11
so
11 + y =35
11+ y -11 = 35 -11
then
y = 24
now we know:there are 11 big-bags and 24 small-bags.
Answer:
-3x = 7 .
Step-by-step explanation:
-3x - 6 - 1 =
-3x - 7
Hope that helps!
Answer:
Step-by-step explanation:
<h3>a)</h3>
8 adult tickets cost 8($9.50) = $76
21 kids tickets cost 21($3) = $63
The total cost of these tickets is $76 +63 = $139.
__
<h3>b)</h3>
aa adult tickets cost 9.50aa
kk kids tickets cost 3.00kk
The total cost of these tickets is 9.50aa +3.00kk.
_____
<em>Additional comment</em>
We ordinarily expect a variable to be a single letter. This problem statement defines each variable using a double letter, so that is what we have used. (Sometimes Brainly doubles up variable content in copied text, so we suspect that may have happened here.)