Answer:
60 degrees
Step-by-step explanation:
First find angle I by using the sum of the angles in a triangle is 180 degrees
59+61+I = 180
120 + I = 180
I = 180-120
I =60
<I = <x since they are corresponding angles
<x = 60 degrees
Answer:
$57.60
Step-by-step explanation:
The first thing you want to do is convert 24% to a decimal. To do this you just need to take the current decimal place and move it 2 places to the left. Since this percentage is a whole number the decimal is just after the 4.
(0.24)
Multiply that decimal by the number you want to find the percentage of
$240 * .24 = $57.60
Triangle ACB and triangle ABD share one side AB. This means they have one side that is congruent; side AB
Angle ABD = Angle ABC
Angle BAC = Angle BAD
The pair of angles that are equal lie on the side AB
Hence, triangle ABC and triangle ABD are congruent by Angle-Side-Angle (ASA)
Answer: Second option
Answer:
(a) 0.4
(b) a = 3
Step-by-step explanation:
(a) The area under the curve from x=4 to x=6 is 0.2 units high and 2 units wide, so is 0.2·2 = 0.4. (The area of a rectangle is the product of length and width.)
(b) The area is 0.2 and the height of the curve is 0.2, so the width of the region of concern is 0.2/0.2 = 1. (Again, area = height·width, or width = area/height.) 1 unit from the left end is found at X=3, so a = 3.
