Answer:
Yes! I use this site all the time and my questions always get answered quickly!
Step-by-step explanation:
Answer:
AAS is an acronym for Angle-Angle-Side. It basically means that if two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of a second triangle, then the two triangles are congruent. SAS is an acronym for Side-Angle-Side. It means that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SSS is an acronym for Side-Side-Side. It means that if three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. ASA is an acronym for Angle-Side-Angle. It means that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
In the problem, we know that the corresponding sides of both triangles are congruent to each other, so those would be given. The third side of each triangle would also be congruent because of reflexive property. Reflexive property means that the two triangles share a line segment. So, the answer would be SSS.
Broken down into steps:
1. Find the slope of the line segment that connecs the points (0,-7) and (4,-15).
2. Start with the point-slope formula for the equation of a straight line:
y-b = m(x-a), where the given point is (a,b). Borrow the value of m that you calculated in (1), above, and insert it into this point-slope formula.
Finish up by subst. the x- and y-values in (-3,6) into this formula.
Done!
You could, of course, solve this result for y if you wished.
The probability is 1/6, 16%, or 0.16
Answer:
85, 68, 51
Step-by-step explanation:
Average: The sum of all the numbers divided by the number of numbers
If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x
Then using the definition of an average, we can write this equation.
(5x + 4x + 3x) / 3 = 68
Multiply both sides by 3.
5x + 4x + 3x = 68 * 3
Simplify.
12x = 204
x = 17
Now, substitute x = 17 into the original scores (5x, 4x, and 3x)
5x = 5 * 17 = 85
4x = 4 * 17 = 68
3x = 3 * 17 = 51
Just in case, let's check this answer. Find the average of the 3 test scores.
(85 + 68 + 51) / 3 =
204 / 3 = 68
Thus, the answers are correct
