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Answer:</h3>
A) Isosceles
E) Obtuse
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Step-by-step explanation:</h3>
Ways to Define a Triangle
Triangles can be defined in two ways: by angles and by sides. Equilateral, isosceles, and scalene are based on side length. Acute, right, and obtuse are based on angle measurements. Triangle may only fall under one category for side length and one for angle measure (2 categories total).
Side Length
First, let's define equilateral, isosceles, and scalene.
- Equilateral - All 3 sides of the triangle are congruent (equilateral are always acute angles).
- Isosceles - 2 of the sides are congruent.
- Scalene - There are no congruent sides; each side has a different length.
The triangle above has 2 congruent sides as shown by the tick marks on the left and right sides. This means the triangle is isosceles.
Angle Measurements
Now, let's define acute, right, and obtuse.
- Acute - All 3 angles are less than 90 degrees; all angles are acute.
- Right - 1 of the angles is exactly 90 degrees; it has a right angle.
- Obtuse - 1 of the angles is greater than 90 degrees; there is an obtuse angle.
The largest angle in the triangle is 98 degrees, which is obtuse. This means that the triangle is obtuse.
There are 4 queens in a deck of cards.
You have 4 chances out of 52 total cards to get a queen.
The probability is 4 queens / 52 cards = 4/52, which can be reduced to 1/13
Let's start by declaring our varibles.
x = number of lawns Mr. Brust mowed
y = total amount of money Mr. Brust made
Let's create our equation.
y = 15x + 55
For part b, we can plug 800 in for y.
800 = 15x + 55
Subtract 55 from both sides.
745 = 15x
Divide both sides by 15
50 = x. Note, I rounded the answer to the nearest integer.
For part c, we can plug 13 in for x.
y = 15(13) + 55
Simplify the right side of the equation.
y = 250
If it's a regular octahedron, then you can calculate it using the formula
where
is the length of the edge.
If it's not regular, you have to calculate the area of each side individually.
