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jek_recluse [69]
1 year ago
15

Find the values of the variables in the parallelogram. The diagram is not drawn to scale. (Image is attached below)thank you in

advance :)

Mathematics
1 answer:
irina1246 [14]1 year ago
4 0

For this problem, we are given a parallelogram with a diagonal drawn, inside it there are markings for a few angles. We need to determine the unknown angles.

Opposite sides of a parallelogram are parallel, this means we can treat the diagonal as a transversal line that crosses two parallel lines. Since this is the case, the angles 33º and xº are alternate interior angles and have the same length:

x=33º

The opposite angles in a parallelogram are congruent, therefore:

z=109º

The sum of internal angles is 360º, therefore we have:

\begin{gathered} 2\cdot109+2\cdot(x+y)=360\\ \\ 218+66+2y=360\\ \\ 284+2y=360\\ \\ 2y=360-284\\ \\ 2y=76\\ \\ y=38 \end{gathered}

The value of x is 33º, the value of y is 38º and the value of z is 109º.

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Ramona owns a orange grove, and needs to harvest at least 2616 oranges to cover the costs of running the grove. If each tree bea
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Answer:

Kindly check explanation

Step-by-step explanation:

Given the following information :

Number of oranges Ramona needs to harvest in other to cover the cost of running the orange Grove = 2616

Average number of oranges each tree bears = 62

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Number of orange trees needed in the Grove :

Total number of oranges needed :

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(360 + 2616) = 2976 oranges

Number of trees needed = total number of oranges needed / average number of oranges beared per tree

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= 48 trees

Number of trees needed ≥ 48

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3 years ago
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sergejj [24]

Answer:

10

Step-by-step explanation:

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3 years ago
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sveta [45]

Using the midline property;

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2(p - 21) = p - 7

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8 0
2 years ago
2. f(x)=4x+1 and ​g(x)=x2−4x−5​, find ​(g◦​f)(4​).
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Answer:

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Step-by-step explanation:

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(g · f)(4) = 4(4² - 5) + 1

Following pemdas

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