What is the value of X ?
2 answers:
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Answer:
Step-by-step explanation:
m∠4 + m∠7 = 180 (Adjacent Angles of a parallelogram)
<u>Given that</u> m∠4 = x + 45, m∠7 = x² + 45
x + 45 + x² + 45 = 180
x² + x + 90 = 180
x² + x = 180 - 90
x² + x = 90
x² + x - 90 = 0
Using mid-term break formula
x² + 10x - 9x - 90 = 0
x(x+10) - 9(x+10) = 0
(x - 9)(x + 10) = 0
<u>Either, </u>
x-9 = 0 <u>OR</u> x+10 = 0
x = 9 <u>OR</u> x = -10
Now,
m < 7 = x² + 45
<u>For x = 9</u>
m < 7 = (9)² + 45
m < 7 = 81 + 45
<h3>m < 7 = 126°</h3><u>For x = -10</u>
m < 7 = (-10)² + 45
m < 7 = 100 + 45
<h3>m < 7 = 145°</h3>Hope this helped!
<h3>~AnonymousHelper1807</h3>Answer:
the distance between the penguins and the fish tanks is 81 ft
Step-by-step explanation:
Let A is the point of whales
Let B is the point of Sharks
Let D is the point of Dophines
Let P is the point of penguins
Let F is the point of Fish tank
From a look at the photo, we can find some special properties that:
AB//PF
In triangle ABD and DPF we have
- ∠BAD=∠PFD(Alternate angles)
- ∠ADB=∠PDF(Vertically opposite angles)
By AA rule, ABD and DPF are similar to each other
Therefore, using the similarity property, we have:
=
So the distance between the penguins and the fish tanks is 81 ft