Answer:
Sorry but your question is incomplete!
it's impossible to answer this question if we don't know the <u>total number of outcomes</u>
<em>I'm referring to writing the question instead of OCR-ing it</em>
Answer:
- a = 36°
- b = 36°
- c = 72°
- d = 72°
- e = 108°
- f = 16°
- g = 74°
- h = 70°
Step-by-step explanation:
You are expected to know and make use of the following relations:
- vertical angles are congruent
- angles of a linear pair are supplementary
- angles of a triangle sum to 180°
- alternate interior angles are congruent (at parallel lines)
- corresponding angles are congruent (at parallel lines)
- acute angles of a right triangle are complementary
- base angles of an isosceles triangle are congruent
__
For this problem, it isn't always easiest to work the questions in order. It is best to start with the angles easiest to find from those given.
b and 144° are a linear pair, so b = 180° -144° = 36°
a and b are alternate interior angles, so a = b = 36°
2d and 144° are corresponding angles, so d = 144°/2 = 72°
e is the apex angle of an isosceles triangle with base angles 36°, so is 180° -2(36°) = 108° = e
f and 164° are a linear pair, so f = 180° -164° = 16°
g and f are complementary, so g = 90° -16° = 74°
g+h is a vertical angle with 144°, so is congruent to that. h = 144° -74° = 70°
c is the base angle of an isosceles triangle with b as the vertex angle. That means c = (180° -36°)/2 = 72°
Answer:
$9600.72
Step-by-step explanation:
Area of the field = length × width
Length = 1,021 feet
Width= 725 feet
Area of the field = length × width
= 1,021 feet × 725 feet
= 740,225 square feet
One bag covers 1000 square feet
There are 740,225 square feet
Find the number of bags that will cover the total of 740,225 square feet
Total bags = 740,225 / 10000
=740.225 bags
A bag cost $12.97
Total cost of 740.225 bags= 740.225 × 12.97
= $9600. 71825
Approximately
$9600.72
Answer:
Both of those are functions.
Step-by-step explanation:
is a parabola that opens up.
Any upward or downward parabola is a function because they pass the vertical line test.
![x=\pm \sqrt{1-y}{/tex]Square both sides:[tex]x^2=1-y](https://tex.z-dn.net/?f=x%3D%5Cpm%20%5Csqrt%7B1-y%7D%7B%2Ftex%5D%3C%2Fp%3E%3Cp%3ESquare%20both%20sides%3A%3C%2Fp%3E%3Cp%3E%5Btex%5Dx%5E2%3D1-y)
Subtract 1 on both sides:

Multiply both sides by -1:

So this is a another parabola and it is faced down. So this is also a function.
wit
willl always be a parabola.
If
then it is open up.
If
then it is open down.
Upwards and downward parabolas will always be functions.
are also parabolas but these open to the left or right. These will not be functions because they will not pass the vertical line test.
Answer:
1/5
Step-by-step explanation:
.2
This means 2/10
Divide the top and the bottom by 2
1/ 5