Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are * 1 point
75°, 105°
72°, 108°
60°, 120°
40°, 140° Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are *
1 point
75°, 105°
72°, 108°
60°, 120°
40°, 140°

75°, 105°

Step-by-step explanation:

Supplementary angles sum to 180°

Sum the parts of the ratio, 5 + 7 = 12 parts

Divide 180° by 12 to find the value of one part of the ratio.

180° ÷ 12 = 15° ← value of 1 part of the ratio, thus

5 parts = 5 × 15° = 75°

7 parts = 7 × 15° = 105°

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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