Answer:
1) x= 15
2) x= 34
3) x= 40
Step-by-step explanation:
1) 4x°= 45° +15° (vert. opp angles)
4x°= 60° <em>(</em><em>simplify</em><em>)</em>
x°= 60° ÷4 <em>(</em><em>÷</em><em>4</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x°= 15°
Thus, x= 15.
2) (x+12)° +100° +x°= 180° (adj. angles on a str. line)
2x° +12°= 180° -100°
2x°= 80° -12°
2x°= 68°
x°= 68° ÷2
x°= 34°
x= 34
3) 3x°= 120° (vert. opp. angles)
x°= 120° ÷3
x°= 40°
x= 40
<u>Abbreviations</u><u>:</u>
1. vert. opp. angles
- vertically opposite angles
- This means that when 2 straight lines intersect, the angles facing opposite each other are equal.
2. adj. angles on a str. line
- adjacent angles on a straight line
- the sum of the angles that lie on a straight line is 180°
Answer:
x = 7
Step-by-step explanation:
The larger triangle is twice as big as the smaller triangle. Therefore, the length of the side EF is twice as large as the side YZ.
I multiplied 4.5 (the length of YZ) and 2 to get 9. The value of side EF is 3x-12 and should be equivalent to 9.
3x - 12 = 9
I solved this equation by adding 12 to both sides and dividing 3 on both sides.
The value of x is 7.
WHat else is to the question?!?
Answer:
Line graphs are used to track changes over short and long periods of time. When smaller changes exist, line graphs are better to use than bar graphs. Line graphs can also be used to compare changes over the same period of time for more than one group
Step-by-step explanation:
hope this helps you :)
a. Solve the formula:
P = 2L + 2W
-2L = -P + 2W
ANSWER FOR A: L = (P/2) - W
b. Substitute the values:
L = (48/2) - 6
Simplify:
L = 24 - 6
L = 18
So the length is 18 feet.
