What are the values of m∠abc, m∠cbf, m∠abd and m∠dbe in the given figure?

m∠abc -

m∠cbf –

m∠dbe –

m∠abd -

25 points : )

Work Shown:

ABD = 90 degrees due to the square angle marker

ABC = 72 degrees as this is a vertical angle to the 72 degree angle given.

Any pair of vertical angles are congruent.

Angles ABC, ABD and DBE form a straight angle.

This means they add to 180 degrees.

(angleABC)+(angleABD)+(angleDBE) = 180

(72)+(90)+(angleDBE) = 180

162+angleDBE = 180

angleDBE = 180-162

angleDBE = 18

We can also find this angle by noting that angles DBE and EBF add to 90.

So, (angleDBE)+(angleEBF) = 90 leads to angleDBE = 90-72 = 18

Angles ABC and CBF form a straight angle as well

(angleABC) + (angleCBF) = 180

72 + angleCBF = 180

angleCBF = 180-72

angleCBF = 108

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:

i think u have 12 apples sorry again i don't really know if it correct i'm just tryna hrlp people out.