Answer: The ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.
Step-by-step explanation:
Given : Number of students who play the clarinet= 12
Number of students who play the viola=16
We know that ratio of A to B is represented by A:B.
Since, the number '12' is representing " students who play the clarinet" and number '16' is representing " students who play the viola"
So , the ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.
2,3,5,7,11,13,821, and 823
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<span>y in (-oo:+oo)
(3*y+6)/11 = -9 // + 9
(3*y+6)/11+9 = 0
(3*y+6)/11+(9*11)/11 = 0
3*y+9*11+6 = 0
3*y+105 = 0
(3*y+105)/11 = 0
(3*y+105)/11 = 0 // * 11
3*y+105 = 0
3*y+105 = 0 // - 105
3*y = -105 // : 3
y = -105/3
y = -35
y = -35</span>
Answer:
See below.
Step-by-step explanation:
1.
(a) < PMR
(b) < QMR
(c) < QMN
(d) < RMN
2. m < C = 4x - 6
= 4(25) - 6
= 100 - 6
= 94 so < C is obtuse.
3. 8x + 2 = 90
8x = 90 - 2
8x = 88
x = 11.
4.
(a). < DBA and < DBC are right angles (90 degrees) because BD is perpendicular to AC.
(b) < DBA and < DBC are adjacent and they share the ray BD.
(c) < DBe and < ABE are complementary.
(d) < DBA and < DBC are supplementary
(e) 90 - 40 = 50 degrees
(f) 180 - 40 = 140 degrees.
(g) As the angles are complementary
3x + 2 + 4x + 4 = 90
7x = 90 - 2 - 4
7x = 84
x = 12.