Answer:
Combine points A with C and A with B. Consider ΔABD and ΔACD:
1. AD is common side, then AD\cong AD;
2. CD\cong BD - given in the diagram;
3. \angle ADB\cong \angle ADC .
By SAS Postulate, \triangle ABD\cong \triangle ACD . Congruent triangles have congruent corresponding sides and congruent corresponding angles, so AC\cong AB .
From this proof you can see that correct choice is option D (In triangles ABD and ACD, two sides and an included angle are equal.)
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
8x = 4x + 8
Subtract 4x from each side
8x-4x = 4x-4x + 8
4x = 8
Divide each side by 4
4x/4 = 8/4
x = 2
Answer:
I hope this makes sense, sorry for the lack of proofs.
Step-by-step explanation:
It is given that S is the midpoint of line QT. The definition of a midpoint is that it bisects the line it is on. So, line QS and line TS are congruent, or the same.
Now, we also know that line QR and line TU are parallel. Because they are parallel, it means that they form congruent corners with lines QS and TS..I think the proof here is "angles opposite to congruent sides are congruent in a triangle." But I'm not sure if this is right. Anyways, this means angles RQS and UTS are congruent.
There's also some proof that when two lines cross, the opposite angles are congruent. This means that angles TSU and QSR are congruent.
Therefore, by ASA (angle-side-angle) ΔQRS ≅ ΔTUS.
12 balloons total
u blow up 1/3.....1/3(12) = 12/3 = 4....so u blow up 4 out of 12...thats 4/12
ur friend blows up 5...he blows up 5 out of 12....thats 5/12
so 4/12 + 5/12 = 9/12....9/12 are blown up.....that leaves 3/12 or 1/4 left to blow up
Answer:
p(green) = 3/10
p(red) = 5/10
(you can of course reduce)
Step-by-step explanation:
Probability is just a big word for a simple concept
Probability of green marbles = number of green marbles over total number of marbles.
Probability of red marbles = number of red marbles over total number of marbles.
Don't over complicate it :)
