Answer:
#3
Step-by-step explanation:
Side-angle-side similarity means that when two triangles have corresponding angles that are congruent and corresponding sides with identical ratios we can say that the triangles are similar. So UV/XY and WV/ZY are equivalent and therefore, angle V equals angle Y is the correct answer.
Answer:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
Step-by-step explanation:
Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.
Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.
Answer:
28.4
Step-by-step explanation:
IJ corresponds to FG, and JK corresponds to GH. So, x/6 = 52/11. 11x = 312, x = 28.36, which rounds to 28.4
Take a look at the tree diagram. The first branching shows the probabilities of there being oil, or not being oil.
Then, for each case we consider the probabilities of the kit being accurate or not.
we are interested in the branch Oil---Kit accurate---
Since P(Oil)=0.45, and P(Kit accurate)=0.8, the probability of there being oil and the Kit showing it correctly is:
0.45*0.8=0.36.
Answer: C) 0.36
