Answer: SAS is the correct criteria
Explanation:
Angles VMU and GMH are congruent by the Vertical Angles Theorem. Given that angles UVM and GHM are congruent because they are both right angles, we now have two pairs of corresponding angles. Also given that sides HM and VM are congruent, we now have two corresponding pairs of congruent angles and a pair of congruent sides.Therefore, your best option is the ASA postulate, which states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. Therefore, we have a corresponding angle, a corresponding side, and another corresponding angle in triangle GHM, which is congruent to its corresponding angle, a corresponding side, and another corresponding angle in triangle UVM.
First we calculate how many ways you can choose four books from a set of eight.
We use the formula n! / [r! * (n-r)!]
8! / [4! * 4!]
= 8*7*6*5 / 4*3*2*1 = 70 ways
Then we have to calculate how many permutations can be made from 4 objects which equals 4*3*2*1 = 24
So, the TOTAL number of ways = 70 * 24 = 1,680
Answer:
Segments AB and CD are perpendicular to each other.
Step-by-step explanation:
If you were to convert line segments AB and CD into slope-intercept form(y=mx+b), you would get y=-5x+1 for AB and y=1/5x-5.
Any line with a slope that is flipped-oppisite (-5/1 to -1/5 to1/5)
of another line must be perpendicular to each other. It doesn't have to have the same y-intercept, it just makes the intersecting point different.
Answer:
x=3(one solution)
Step-by-step explanation:
2x+2=3x-1
subtract 2 from both sides
2x=3x-3
subtract 3x from both sides
-x=-3
divide both sides by -1
x=3
C , it’s become more adapted to and more modern
