Answer:
Trudy will have 4 pieces of the fabric.
Step-by-step explanation:
Since, 1 foot of the fabric = 12 inches
If Trudy cuts the fabric into pieces of 3 inch.
Number of pieces she will have = 
= 
= 4 pieces
Therefore, she will have 4 pieces of the fabric.
Answer:
×=16
Step-by-step explanation:
distribute 3 into the () so it would be 6x+6=96. subtract 6 to 96= 90. 90 divide by 2=16
Answer:
There is a 1/8 chance.
If there are 4 cards in the deck, and one three card, it makes it a 1/4 chance of picking the card the first time.
The probability stays the second time you pull out a card.
So, you would do the equation 1/4 * 1/4, which is 1/8. That is the answer.
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.
Answer:
Ahhh, vertical angles, thank goodness for these, hahaha!
According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.
Knowing this, you have to set each equation equal to each other in order to solke this one!
Let's do it!
6x + 18 = x + 93
STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.
5x + 18 = 93
STEP 2: Get X alone by subtracting 18 from both sides.
5x = 75
STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.
FINAL ANSWER: x = 15
NOTE: <em>X is B. </em>