Mathematics, 19.09.2019 01:40, Duckkkkkkkk

Find the values of the variables x, y, and z in the parallelogram. the diagram is not drawn to scale.
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Find the values of the variables x,y, and z in the parallelogram. the diagram is not drawn to scale.

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answered: natalie407888

1- getting the value of y:
Let's take a look at the upper triangle in the parallelogram. We know that the sum of measures of a triangle is 180.The three angles forming this triangle are given as: 109°,33° and y
Therefore:
109 + 33 + y = 180
142 + y = 180
y = 180 - 142
y = 38°

2- getting the value of z:
In a parallelogram, opposite angles are congruent. Taking a look at our parallelogram, we will find that angles z and 109° are opposite.
Therefore, they are equal.
Based on the above:
z = 109°

3- getting the value of x:
Again, in a parallelogram, each two opposite sides are parallel. We also know that alternate angles formed due to parallel lines are equal. In the given parallelogram, angles 33° and x are alternate angles. This means that they are equal angles.
Therefore:
x = 33°

answered: Longjeremiahs8864

109 + 33 + y = 180

142 + y = 180

y = 180 - 142

y = 38°

z= 109 and x= 33

answered: Guest

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.

answered: Guest

1. sometimes

2. never

3 .08c = 7.50+.05c 250 pages

step-by-step explanation:

1. sometimes

the theoretical probability of rolling a 1 is 1/6. perhaps you got really lucky and never rolled a 1 in those 60 times. your experimental probability is 0. or perhaps you rolled a 1 20 times. your experimental probability is 20/60 is 1/3. it really just depends on how you rolled in that experiment.

2. never

the probability of the event occurring is 1. that is being 100 % sure it will happen. that is the maximum amount of confidence we have.

3. no customer card cost: .08 times number of pages

customer card cost: 7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03