Answer:
x = 22
y = 35
Step-by-step explanation:
Because its an isosceles triangle, you know the base angles are equal so:
Solving:
subtract 2x from both sides
add 11 to both sides
Next, find the angle measures of the two base angles:
To find y, you know that the interior angles of the whole triangle add up to 180, so you have
solving,
subtract 110 from both sides
divide both sides by 2
As shown in the figure below the answer is the last option:
The roots of the polynomial in the denominator are:
So, the inequality can be written as follows:
From this inequality we can study the signs and get the same conclusion just as shows the graph.
Answer:
$20
Step-by-step explanation:
Bin A: Bin B: Bin W:
white ball: 20% $1: 75% $8: 5/6
black ball: 80% $7: 25% $500: 1/6
first we can calculate the expected return of bins B and W:
expected return if the ball is black = ($1 x 75%) + ($7 x 25%) = $2.50
expected return if the ball is white = ($8 x 5/6) + ($500 x 1/6) = $90
expected return of the game = (expected return of a black ball x probability of choosing a black ball) + (expected return of a white ball x probability of choosing a white ball) =($2.50 x 80%) + ($90 x 20%) = $2 + $18 = $20
The volume of the box is 99 unit cubes.
<h3>What is the volume of the box?
</h3>
A cube is a three-dimensional object that has six faces, twelve edges and eight vertices. The length, width and height of a cube usually has equal dimensions. The volume of the box is a function of the dimension of the cubes in it and the number of layers.
Volume of a box = number of layers x amount of units
9 x 11 - 99 unit cubes
To learn more about the volume of a cuboid, please check: brainly.com/question/26406747
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