Answer:
x = 41.2
Step-by-step explanation:
Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.
Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.
Answer:
6 (y + 8) (y - 1)
Step-by-step explanation:
Factor the following:
6 y^2 + 42 y - 48
Factor 6 out of 6 y^2 + 42 y - 48:
6 (y^2 + 7 y - 8)
The factors of -8 that sum to 7 are 8 and -1. So, y^2 + 7 y - 8 = (y + 8) (y - 1):
Answer: 6 (y + 8) (y - 1)
PS: it's really helpful to pose the question correctly 6 y^2 + 42 y - 48 NOT
6y 2 - 48 + 42y
The answer is 3
Multiply 6 by 3 to get the total amount of money for the books then minus the answer 18 which you get from 6 x 3 = 18
Then minus 18 from 21 to get $3
21 - 18 = 3
Answer:
43. 
44. 
45. 8
Step-by-step explanation:
43. 0.45% = .0045
44. 
• 
=
45. VIII = 8
Option A: SU, TU, ST is the right answer
Step-by-step explanation:
In a triangle
- The largest side and the largest angle are opposite to each other
- The shortest side and the shortest angle are opposite to each other.
So using the above axioms we can observe the triangle.
- The largest angle is m∠U = 80° so the side opposite to it is the largest i.e. ST is the largest
- The smallest angle is m∠T = 25° so the shortest side is SU
- The third side will be the middle side as the angle ∠S is greater than 25° and less than 80°
So the sides in order from least to greatest are: SU, TU, ST
Hence,
Option A: SU, TU, ST is the right answer
Keywords: Geometry, Triangles
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