The slope-intercept form:
m - slope
b - y-intercept
The formula of a slope:
We have two points (2, 0) and (-2, -4). Substitute:
Therefore we have the equation of a line
Put the coordinates of the point (2, 0) to the equation:
<em>subtract 2 from both sides</em>
Answer: 
Answer:
9
Step-by-step explanation:
;-;
Answer: (D) No. The corresponding pairs of sides must also be marked congruent to determine that the triangles are congruent.
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Explanation:
The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.
Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.
The list of congruent theorems is
- SSS
- ASA
- AAS (or SAA)
- SAS
- HL
- LL
Much of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.
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So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.
Answer:
a= 18 girls in the class, b= 20 boys and 15 girls, 12 oranges better price.
Step-by-step explanation:
for question a, there are 18 girls in the class, this is how i worked it out:
the ratio of boys to girls is 4:3.
there are 24 boys.
24 is 6 times more than 4.
if boys are 6 times more than the original ratio, we also have to times the amount of girls by 6.
6x3= 18.
for question b i got 20 boys and 15 girls, this is how i did it.
there are 35 students in total.
4:3= boys to girls.
4+3=7
7 goes into 35 five times.
ratio of boys to girls is 4:3 so 5x4 for boys = 20 and 3x5 for girls = 15.
answer= 20 boys and 15 girls.
12 oranges is a better deal, this is how i worked it out.
it is 60 for 12 oranges.
it is 48 for 8 oranges.
12x5= 60 , 8x6=48.
you only have to times 12 by 5 to get it to the price but you have to times 8 by 6 to get it to the price, proving that 12 oranges for 60 is a better deal.
