Here are two different patterns made out of the same five identical isosceles triangles. Without using a protractor, determine t
he measures of ∠x and ∠y. Explain or show your reasoning.
1 answer:
The missing figure is attached
Answer:
∠x = 72° and ∠y = 54°
Step-by-step explanation:
From the first patterns
∵ x is the vertex angle of each isosceles triangle
∵ All the vertices angles of the 5 Δs meet at one point
∵ The sum of the measures of angles around a point is 360°
∴ x + x + x + x + x = 360°
∴ 5 x = 360°
- Divide both sides by 5
∴ x = 72
∴ ∠x = 72°
The sum of the measures of the interior angle of a triangle is 180°
∵ The measure of the vertex angle of each Δ is x
∵ The measures of the base angles of each Δ is y
∴ x + y + y = 180°
- Add like terms in the left hand side
∴ x + 2 y = 180°
∵ x = 72°
∴ 72 + 2 y = 180
- Subtract 72 from both sides
∴ 2 y = 108
- Divide both sides by 2
∴ y = 54
∴ ∠y = 54°
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<h3>Plane I contains line EL</h3>To do this, we draw a plane I (represented by a rectangle), and then draw a line on the rectangle
<h3>Plane A, B and C are collinear</h3>This means that a line passes through points A, B and C or in other words, points A, B and C are on the same line
<h3>Lines x and y intersect at a point M</h3>This means that point M is a common point on lines x and y or in other words, point M lies on both lines
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Answer: 3) 0.8493
Step-by-step explanation:
Given : Red Bull GmbH (the parent company) has observed that daily sales are normally distributed with an average of 7,421,143 drinks sold with a standard deviation of 6,974.621.
i.e.
Let x denotes the daily sales .
Then, the probability that on a given day below 7,428,350 drinks are sold would be :
Hence, the correct answer is 3) 0.8493