Answer:
B
Step-by-step explanation:
Parallel lines have the same slope. The slope of the given line is 3/4. Line B has the same slope.
To solve this problem you must apply the proccedure shown below:
1. You have that the following information given in the problem above: The<span> photograph is reduced by a scale factor of 3/8 and the original had a length of 20 inches,
2- Therefore you have:
length=20 inches-</span>(20 inches x 3/8)<span>
length=20 inches-7.5 inches
length=12.5 inches
3- Then, as you can see, the answer is: 12.5 inches.</span>
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
You can actually work out the answer yourself.
The two angles shown have the total measure 168°, so the unmarked one is ...
168° -100° = 68°
That is ∠WXZ, so we know ...
68° = (5x +38)°
30 = 5x . . . . . . . . . . divide by °, subtract 38
6 = x . . . . . . . . . . . . .divide by 5
Answer:
Step-by-step explanation:
The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.
For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared (
), where 
is the hypotenuse.
Let the length of the ladder be 
(hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as 
.
From the Pythagorean Theorem, we then have:
Expand using 
:
Subtract from both sides and add 
to both sides:
Combine like terms:
Divide both sides by 2:
Therefore, the length of the ladder is 25 feet.
