Answer:
- 12. x = 6, side = 83
- 13. x = 18, side = 29
- 14. x = 11, sides = 74, 74 and 37
- 15. x = 23, sides = 95, 95 and 108
Step-by-step explanation:
<em>11 is incomplete, can't solve</em>
12
<u>The triangle is equilateral, so all sides are equal, using one pair to find x:</u>
- 13x + 5 = 17x - 19
- 17x - 13x = 5 + 19
- 4x = 24
- x = 6
<u>Each side is:</u>
13.
<u>Sides are equal as triangle is equilateral</u>
- QR = 2x - 7
- RS = 5x - 61
- QS = x + 11
<u>Finding x by comparing two sides</u>
- 2x - 7 = 5x - 61
- 5x - 2x = 61 - 7
- 3x = 54
- x = 18
<u>Sides are equal</u>
14.
<u>Equal sides of isosceles triangle:</u>
- CD = DE
- 9x - 25 = 6x + 8
- 9x - 6x = 8 + 25
- 3x = 33
- x = 11
<u>Sides are</u>
- CD = DE = 9*11 - 25 = 99 - 25 = 74
- CE = 10*11 - 73 = 110 - 73 = 37
15.
<u>Equal sides of isosceles triangle WXY, WX = WY</u>
- WX = 4x + 3
- WY = 7x - 66
- XY = 5x - 7
- 4x + 3 = 7x - 66
- 7x - 4x = 3 + 66
- 3x = 69
- x = 23
<u>Sides are:</u>
- WX=WY = 4*23 + 3 = 95
- XY = 5*23 - 7 = 108
Answer:
A. 168 units³
Step-by-step explanation:
volume = area of bas × height
volume = (6)(7)/2 × 8
volume = 168 units³
The value of X is 27.
To solve this problem, you have to write a proportion with the given information. This can be done because the sides on the left and right are proportional with the values on the bottom.
36 / 24 = x / 18
x = 27
Answer:
5
Step-by-step explanation:
Answer:
the difference in latitude is 91.22°
the difference in longitude is 147.95°
Step-by-step explanation:
For Liverpool, London. The latitude is 53.41°, longitude is -2.99°
For Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°
The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).
The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)
the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°
the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°
