We can Notice that ∠ABC = ∠ACB
We know that if Two Angles are Equal then Angles Corresponding to those Sides are also Equal.
⇒ AB = AC
⇒ 4x + 4 = 6x - 14
⇒ 6x - 4x = 4 + 14
⇒ 2x = 18
⇒ x = 9
⇒ Length of BC = 2x + 7 = 2(9) + 7 = 18 + 7 = 25 units
Answer:
D
Step-by-step explanation:
First of all, a very easy way is to count all the rectangles and then count the squares that are shaded and have balloons.
You'll get 7 squares that are shaded and have balloons and 16 rectangles in total.
So the fraction will be 
Another simple way is to just multiply
and 

The S in supplementary<span> can be used to form the 8 in 180. The C in </span>complementary <span>can be used to form the 9 in 90. If we know that a set of </span>angles<span> form one of these special relationships, we can determine the measure of the other </span>angle<span>. To determine the supplement, subtract the given </span>angle<span> from 180.</span>
Answer:
y = 0.8425 or y = -0.8425
Step-by-step explanation:
All points in the Cartesian coordinate system have an x and y coordinate, defined by two perpendicular measurements.
If the point is on the unit circle, then the radius of the circle is defined to be 1 unit, and the corresponding right triangle follows the Pythagorean Theorem.

For a unit circle:

Substituting the known value for x, and simplifying...


Subtracting 0.29019769 from both sides to begin to isolate "y"...


Applying the square root property...


So, (to 4 decimal places), the y coordinate could be either 0.8425 or -0.8425.
With only the given information, either result is a valid answer.
Answer:
y = 0.5x² +3x +5
Step-by-step explanation:
There are several ways to do this. The most straightforward may be to fill three table values into the equation and solve for a, b, c. Using the first three values, the equations would be ...
y = ax² + bx + c
- 0.5 = 9a -3b +c . . . . first point
- 1.0 = 4a -2b +c . . . . second point
- 2.5 = a -b +c . . . . . . third point
Solving this system of equations by your favorite method gives ...
a = 0.5, b = 3, c = 5
so the quadratic is ...
y = 0.5x² +3x +5
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Since you are given the y-intercept (0, 5), you know the constant in the equation is 5. The given table values are equally-spaced, so finding differences can be informative.
first differences: 1 -0.5 = 0.5; 2.5 -1 = 1.5; 5 -2.5 = 2.5; 8.5 -5 = 3.5
second differences: 1.5 -0.5 = 1; 2.5 -1.5 = 1; 3.5 -2.5 = 1
That is, second differences are 1, which value is double the "a" coefficient of the equation. So, we know the equation is ...
y = 0.5x² +bx +5
Filling in x=1, we get
8.5 = 0.5 +b +5
3 = b
and the equation is ...
y = 0.5x² +3x +5
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You can also let your graphing calculator or spreadsheet program show you a quadratic regression equation through these points. It gives the same result.