These 2 angles are vertical angles.
Vertical angles are equal.
Set up an equation where 2 angles are equal to each other.
Solve for 'x'.
6x+238 = 3x + 178
3x = 178 - 238 = -60
x = -60/3
x = -20
Answer:
x = 13
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
78(11x - 13) = 10140 ( divide both sides by 78 )
11x - 13 = 130 ( add 13 to both sides )
11x = 143 ( divide both sides by 11 )
x = 13
Washington D.C is the capital of the US
Answer:
The scooter is going faster.
Step-by-step explanation:
30/2 = 15ft/s
55/4 = 13.75ft/s
(the question was cut off so I used the information I had) Hope this helped!
Answer:
B) f(x) ≥ 3x + 4
g of x is less than or equal to negative one half times x minus 5
Step-by-step explanation:
From the above graph,
If point B is the solution of the system of inequalities, then point B must satisfies both inequalities
We can see from the graph that
Point B is located above (≥) the boundary line for f(x) and is also below (≤) the boundary line for g(x).
So we can say,
Point b satisfies the inequalities
Therefore,
The system is
f(x) ≥ (3x+4)
g(x) ≤ (-1/2x -5)
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