Type the correct answer in each box. The value of x is °, and the value of y is °.
1 answer:
Answer:
<h2>x = 60°, y = 50°</h2>Step-by-step explanation:
We know: the angles measures in a triangle add up to 180°.
<em>(look at the picture)</em>
z + 50 + 60 = 180
z + 110 = 180 <em>subtract 110 from both sides</em>
z = 70°
x + 50 + 70 = 180
x + 120 = 180 <em>subtract 120 from both sides</em>
x = 60°
Angles x, y and z are on one side of a straight line. Therefore they add to 180°.
x + y + z = 180
60 + y + 70 = 180
y + 130 = 180 <em>subtract 130 from both sides</em>
y = 50°
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First mug holds the most
<em><u>Solution:</u></em>
Given that,
You are choosing between two mugs
<em><u>The volume of cylinder is given as:</u></em>
Where,
r is the radius and h is the height
<em><u>One has a base that is 5.5 inches in diameter and a height of 3 inches</u></em>
Therefore,
Also, h = 3 inches
<em><u>Thus volume of cylinder is given as:</u></em>
Thus first mug holds 71.24 cubic inches
<em><u>The other has a base of 4.5 inches in diameter and a height of 4 inches</u></em>
h = 4 inches
Therefore,
Thus the second mug holds 63.585 cubic inches
On comparing, volume of both mugs,
Volume of first mug > volume of second mug
First mug holds the most