9514 1404 393
Answer:
see attached
Step-by-step explanation:
It isn't clear what is supposed to go in the various blanks. We have elected to identify the corresponding congruent parts, and name the congruent triangles. The postulate supporting the conclusion is also shown.
In most cases, corresponding parts are marked congruent. The exception is the vertical angles in figure 22.
Number 3.) The answer to this one is x=-14
That is because when a line is undefined it goes as x = (whatever number it is on)
Currency Ln. is undefined and you have to find a line parallel so that's why it's x = -14
Number 4.)
So it says that the new street will be parallel to Market Blvd. meaning that they will have the same slope
Find the slope of Market Blvd.
Rise/Run
the slope is negative as it goes down from left to right
it goes down 7 and over 1
slope = -7
and it will pass through the point (-1, 5)
to find the y-intercept we plug in the points to y = mx + b
5 = -7(-1) + b
5 = 7 + b
subtract 7 from both sides
-2 = b
Plug all the info into the slope intercept we get:
y = -7x -2
So your answer is G
Number 5.)
If a line is parallel to another line, that means they have the same slope
So here you just need to find the slope of the line named "Bear Street"
Slope is the change in y over the change in x
or the rise/run
The rise is 1
and the run is 7
it is a positive slant as the line goes up from left to right
so the slope is
1/7
Or D.) 1/7
Hope this helps :)
B
the volume (V) of a sphere = 
πr³
We require to know the radius r to calculate the volume
using surface area of a sphere = 4πr² = 615.752
divide both sides by 4π
r² = 
= 49.0248...
take the square root of both sides
r = 
≈ 7, hence
V= × π × 7³ = 1436.76 m³ → B
Answer:
x = 2 + sqrt(5) or x = 2 - sqrt(5)
Step-by-step explanation using the quadratic formula:
Solve for x over the real numbers:
7 (x^2 - 4 x - 1) = 0
Divide both sides by 7:
x^2 - 4 x - 1 = 0
Add 1 to both sides:
x^2 - 4 x = 1
Add 4 to both sides:
x^2 - 4 x + 4 = 5
Write the left hand side as a square:
(x - 2)^2 = 5
Take the square root of both sides:
x - 2 = sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
x = 2 + sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
Answer: x = 2 + sqrt(5) or x = 2 - sqrt(5)
Answer:
Where's the rest of the question?
