PLEASE HURRY
Quadrilateral ABCD is inscribed in OZ such that AB | DC and Find m

41°

Step-by-step explanation:

First note that m arc BC = m∠BZC

The reason is because a central angle of a circle is always congruent to its

intercepted arc.

Also m∠BAC is one-half m arc BC, as the measure of an inscribed angle is half the measure of its intercepted arc.

Hence, the calculation is given below:

m∠BZC = 82°

m arc BC = m∠BZC

m arc BC = 82°

m∠BAC = 1/2 × 82°

m∠BAC = 41°

It is important to note that

∠DCA ≅ ∠BAC because alternate interior angles are congruent.

So m∠DCA = m∠BAC.

Therefore, m∠DCA = 41°.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

pls mark as brainliest

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas