Answer:
Short-response question = 20.
Step-by-step explanation:
Let x be number of short response questions and y be the number of essay questions.
We have been given that there are 22 questions that are worth 100 points in total. Each short-response question is worth 4 points, and each essay question is worth 10 points. Using our given information we can form a system of equations as:
Now we will solve our system of equations using substitution method.
From equation 1 we will get,
Upon substituting in equation 2 we will get,
Therefore, there are 20 short-response questions on the exam.
Angles ∠MOK and ∠NOL are identical by opposite angle theorem.
∠M = ∠N through given information
∠MKO and ∠NLO are congruent. Since the other two angles of each triangle are equivalent, the last angle must be equivalent to the last angle of the other triangle. (180 - ∠1 -∠2 = ∠3); you could also prove ∠MKO = ∠NLO by stating that the opposite sides of the two angles are congruent.
ΔMKO and ΔNLO by Angle-Angle-Side theorem
since ΔMKO and ΔNLO, all corresponding parts of both triangles are congruent, so therefore MO ≅ NO
Answer: all of them are x,y
Step-by-step explanation:
Answer:
76 square feet
Step-by-step explanation:
surface area = 2(wl + hl + hw) w=width h=height l=length
surface area = 2(5*4 + 2*4 + 2*5)
surface area = 2(20 + 8 + 10)
surface area = 2(38)
surface area = 76 square feet
