Answer:
Step-by-step explanation: let 2:3:5:8 be 2x,3x,5x,8x respectively .
*angles in a quadrilateral is 360 degree
*2x+3x+5x+8x=360
*18x=360
*x=360/18
*x=20
now substitute x in these:
2x=2x20=40
3x=3x20=60
5x=5x20=100
8x=8x20= 160
so these are the following angles: 40,60,100 and 160
Answer:
+5 Range; The range is now 25
Step-by-step explanation:
The original range would be calculated by subtracting 20 from 40, giving you 20 as the range. However, with the point 15 added, there would be a new lowest number, making the new range be 40-15, which is 25.
Answer:
82°
Step-by-step explanation:
i. 8x +26 = angle 5 (corresponding angles)
ii. angle 5 = -9x + 179 ( vertically opposite angles)
so,
8x+26= -9x +179 (from i and ii)
or, 17x= 153
therefore, x= 9
now,
angle3 + 8x +26= 180° (linear pair)
angle 3 = 180°- 72-26
hence, angle 3= 82°
Answer:
<em>The denominator is 12</em>
Step-by-step explanation:
<u>The Number Line</u>
We can represent any real number in a properly segmented line, where the zero-mark is the separation between positive numbers to its right side and negative numbers to the left side.
We are given the number x = 2/3. Since it's positive, its location lies to the right of the zero but before the 1 as shown in the figure below.
We want to locate a second point y at the same distance from 0 as the point x, so we have two options: y is the same as x, or y is negative at the same distance from zero. We chose the last option.
Its numerator must be 8, so we need to multiply it by 4. But we cannot alter the value of x, so we must also multiply the denominator by 4, which gives us the fraction 8/12, but recall it must be negative.
The denominator is 12