A.
Never true. The angles of an equilateral triangle are 60° each, so an equilateral triangle can never be a right triangle which has one angle 90°.
b.
Possible. An isosceles right triangle has angles 45°, 45°, 90°.
c.
Possible. The angles of an equilateral triangle are 60° each, so it's always an acute triangle.
d.
Possible. For example a triangle with angles 70°, 70°, 40° - the angles are less than 90°, so they are all acute, and there are two angles with the same measure, so it's an isosceles triangle.
The answer is A.
<h3>
Answer: 658.3</h3>
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Explanation:
The adjacent complementary angle to that 28 degree angle is 62 degrees because 62+28 = 90.
If the reference angle is the upper acute angle 62 degrees, then the y is the opposite leg and the side 350 is the adjacent leg.
Use the tangent ratio
tan(angle) = opposite/adjacent
tan(62) = y/350
350*tan(62) = y
y = 350*tan(62)
y = 658.254262871217
y = 658.3
Answer:
In the morning, the packing rates per hour was 45. In the afternoon, the packing rates per hour was 40. The difference is 5.
Call the notebooks x, and the pencils y.
<span>3x + 4y = $8.50 and 5x + 8y = $14.50 </span>
<span>Then just solve as simultaneous equations: </span>
<span>3x + 4y = $8.50 </span>
<span>5x + 8y = $14.50 </span>
<span>5(3x + 4y = 8.5) </span>
<span>3(5x + 8y = 14.5) </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 24y = 43.5 </span>
<span>Think: DASS (Different Add, Similar Subtract). 15x appears in both equations so subtract one equation from the other. Eassier to subtract (15x + 20y = 42.5) from (15x + 24y = 43.5) </span>
<span>(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. </span>
<span>Then substitue into equation : </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 5 + 42.5 </span>
<span>15x = 42.5 - 5 = 37.5 </span>
<span>15x = 37.5 </span>
<span>x = 2.5 </span>
<span>15x + 24y = 43.5 </span>
<span>15(2.5) + 24(0.25) </span>
<span>37.5 + 6 = 43.5 </span>
<span>So x (notebooks) are 2.5 ($2.50) each and y (pencils) are 0.25 ($0.25) each.</span>
4 = $26
26/4 = $6.50
1 ticket = $6.50
6.5 x 3 =19.50
26+19.50 = 45.50
7 tickets = $45.50
