The measure of angle b is 25°.
Solution:
Given data:
The "L" shape angle is a right angle.
Right angle is splitted by another line and two angles are formed.
One angle is 65° and the other angle is b.
Let us find the other angle b.
65° + m∠b = 90°
Subtract 65° from both sides of the equation.
m∠b = 90° – 65°
m∠b = 25°
Hence the measure of angle b is 25°.
Answer:
The first thing you should do for this case is to draw the ordered pairs in the plane and join the points.
The area you are looking for is the area of a rectangle plus the area of a triangle.
Thus, the total area will be
At = (8) * (4.5) + (1/2) * (4) * (2.5) = 41
answer
the area of the city is 41 units^2
Step-by-step explanation:
41 square miles If you draw the outline of the city, you'll realize that if you draw a line from point B to point D, that you can subdivide the city into a triangle and a trapezoid. After performing the division, you can then calculate the area of both polygons and the add their areas together. So first, let's deal with the trapezoid ABDE. The area of a trapezoid is the average of the length of the parallel sides multiplied by the height. The parallel sides are AB and DE. So: ((18-10)+(14-10))*(9-4.5)/2 =(9 + 4)*(4.5)/2 = 12*4.5/2 = 27 Now for the area of triangle BCD. The area of a triangle is 0.5*b*h where b is the base and h the height. I'll use BC as the base and the distance from BC to D as the height. So: (9-2)*(18-14)/2 = 7*4/2 = 14 And now to add the areas. 27 + 14 = 41 So the area of the city is 41 square miles. Note: The subdivision used is not the only possible subdivision, just one of the easier ones. I could have divided the city area into 3 triangles ABE, BDE, and BCD and solved it that way instead. It was just a happy coincidence that AB and DE were parallel and as such I was able to use trapezoid ABDE instead of the two triangles ABE and BDE.
D: (-inf, +inf)
R: [0, +inf)
That equation is the parent function of the absolute value function. To find domain, move from left to right. Look at the x-values and where the graph goes. To find range, move from bottom to top and look at the y-values. I recommend using a stick/pencil and moving it along the graph.
Answer:
u have to create a mathematical statement that is
always false.Also u need the variables on both sides of the equation to cancel each other out and have the remaining values to not be equal.
Answer:
See below
Step-by-step explanation:
Let x rep right handed
Then,
5/8× x
= 5x/8
Since 4/5 are boys
1 - 4/5
1/4
Then,
5x/8 = 1/4
20x = 8
x = 8/20
x = 2/5
Therefore, the fraction of the girls in the school that are left handed is 2/5
