Answer:
x = 14
Step-by-step explanation:
Add 10 to both sides.
x− 10 + 10 = 4 + 10
x=14
Answer:
D) Both A and C are correct.
Step-by-step explanation:
If the sample contains 50 students, the percentage equivalent to each student is:

Each student corresponds to 2%, which means that percentages should be multiples of 2%.
21% is not a multiple of 2% and corresponds to:

21% of 50 students is 10.5 students, and you cannot sample a fraction of a student.
Therefore, Both A and C are correct.
Answer:
The answer is below
Step-by-step explanation:
From the image, we can see that DC is parallel to AB.
Step 1:
Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.
Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2:
DB ≅ BD (reflexive property of congruence)
Step 3:
∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:
Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.
Step 4:
BD = DB, angles CDB and ABD are congruent, angle ADB and CBD are congruent.
Therefore, By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
33 and one third as a fraction would be either 33 1/3 or 100/3