Solve for x if degf is a rectangle.

The answer to your question is: x = 12

Step-by-step explanation:

Data

∠H = ∠DHE

∠H = 134 °

If it is a rectangle, then ∠HDG = ∠DGH

DHG + GHF = 180

DHG = 180 - 134

DHG = 46°

The sum of the internal angles in a triangle equals 180°

DHG + HDG + DGH = 180°

46 + 2(5x + 7) = 180

2(5x + 7) = 180 - 46

2(5x + 7) = 134

5x + 7 = 134/2

5x + 7 = 67

5x = 67 - 7

5x = 60

x = 60/5

x = 12

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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step-by-step explanation:

jml angle lkj & angle mj = lm