The lengths of the three line segments after dilation is 
, 
and 
Explanation:
Given that the length of three line segments are PQ = 2 cm, AB = 1.5 cm and MN = 3 cm
Also, given that the dilation with a scale factor of 2 is applied to the three line segments.
We need to determine the length of line segments P'Q', A'B' and M'N'
Dilation means the transformation of the same shape with different size.
Since, it is given that the dilation with a scale factor of 2, we shall multiply each of the line segments with 2.
Thus, we have,
Thus, the lengths of the three line segments after dilation is , and
<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The shorter leg is </span>the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15
<span>By the Pythagorean theorem
</span><span>the longer leg = </span>√(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units
Answer:
A
Step-by-step explanation:
Hopefully this helps!
The sum of the interior angles of a triangle is always 180 degrees. Thus,
the sum of 31, x+4 and 3x+9 must be 180.
31 + x + 4 + 3x + 9 = 180, or 44 + 4x = 180
While it's not necessary, y ou could reduce this equation before solving for x:
11 + x = 45. Then x = 34 degrees.
The three angles are then:
31
34+4 = 38
3(34) + 9 = 111
Check: show that 31+38+111 = 180 (degrees)
Answer:
ok thanks for the warning
Step-by-step explanation:
