2.Alternate Interior angles theorem.
They given angles are alternate and interior when compared to each other, so they are congruent.
3 Vertical angles theorem.
The two angles are vertical angles and are not congruent.
4 Angle-Angle Similarity Postulate.
Because there are two corresponding angles that are congruent they are similar triangles by the angle-anlge similarity postulate.
2/3x + 4 = 7
-4 -4
4 cancels out.
2/3x = 3
x 3 x3
6/3 = 2x = 9
/2 /2
2 cancels out.
x = 9/2 = 4.5
Answer: 14
Step-by-step explanation:
Fraction that choose hip hop= 1/3
Fraction that choose rap = 1/5
Fraction that choose rock will be:
= 1 - (1/3 + 1/5)
= 1 - (5/15 + 3/15)
= 1 - 8/15
= 7/15
Number of students that choose rock will be:
= 7/15 × 30
= 7 × 2
= 14 students
We then multi
Answer:
29
Step-by-step explanation: