Answer: The angles are 30 30, 150, 150
Step-by-step explanation: Two lines intersect means they cross. According to the vertical angle theorem, angles that are across are the same, a line is 180 degrees so it means the angles that make up the supplementary pair add up to 180(180-30=150). So there are 2 150 degree angles and 2 30 degree angles
Answer:
(x-4)²/16 + (y-8)²/25 = 1
Step-by-step explanation:
center (h,k): ((4+4)/2 , (3+13)/2) = (4 , 8)
a = 13-8 = 5 c = 8-5 = 3
b = √5²-3² = 4
Equation: (x-h)²/b² + (y-k)²/a² = 1
(x-4)²/16 + (y-8)²/25 = 1
Answer:
x = 2
Step-by-step explanation:
all the angles in a triangle that are added together will equal 180 degrees
so having known that you will get this equation: \/
2x+5+8x=25
then you solve
8x+2x+5=25
10x+5=25
10x=20
x=2
Answer:
7
Step-by-step explanation:
<u>Concepts:</u>
- Division: a system of distributing a collection of things into equal parts
- Fractions: #s that represent a part of a whole
- Dividing Fractions: dividing a fraction by another fraction = multiplying the fraction by the inverse (reciprocal) of the other one
- Inverse Operations: operations that are opposite of each other (e.g. inverse of addition is subtraction)
<u>Solving:</u>
1. First, let's set up the equation:
7/8 ÷ 1/8
2. We can get the reciprocal of 1/8 by doing the opposite of division; multiplication. 1/8 becomes 1 · 8, and that's equal to 8.
3. Now, since we know dividing a fraction by another one is exactly the same as multiplying the fraction by the reciprocal of the other, let's multiply 7/8 by the inverse of 1/8, which is 8.
7/8 · 8 = 56/8 = 7
Therefore, 7/8 divided by 1/8 is equal to <u>7</u>.
I'm fairly sure it is 0 because it is impossible to roll a number greater than 13 with a 12 sided die.
