Answer:
So, we know that the internal angles of a triangle add up to 180 degrees, yes?
60 degrees plus 50 degrees equals 110 degrees, and subtract 110 from 180, and you get 70 degrees for angle y.
Now, if the triangles are congruent (identical) and the shape you are describing is like an hourglass, then because of the vertical angles theorem, angle x should be 70 degrees too!
Hope I helped!! :)
Answer:
15% '
Step-by-step explanation:
Price yesterday = $180
Price today = $207
Increase in price = $(207 - 180)
=> $27
Percent increase =
Increase / Price of yesterday
=> 27 / 180 * 100
=> 3 / 2 * 10
=> 30 / 2
=> 15
15%
Therefore, the rise in the price of the item = 15%
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Answer:
4x - 3y -18 = 0 or y = 4x/3 - 6
Step-by-step explanation:
We will have to find the slope of the line first
The formula for slope:

The standard form of equation of a line is:
y = mx + b
We know m,
So the equation will be:

We have to find the value of b, for that we will put any one of the point in the equation
So, putting (6,2)
2 = 4/3 * 6 + b
2 = 8 +b
b = -6
Putting the value of m and b in the standard form of equation of line,
..
Answer:
First, 24 divided by 8 equals 3. this means you divide 12 by 3. you get 4. 4 cups of sugar will be used when 8 cups of flour are used.
Answer:
x ≈ 10.92
Step-by-step explanation:
Using the sine ratio in the right triangle
sin83° =
= 
Multiply both sides by 11
11 × sin83° = x, thus
x ≈ 10.92 ( to 2 dec. places )