Answer: B
Step-by-step explanation:
1. Multiplying two negatives equals a positive.
2. Reduce the numbers with the GCF, 3.
3. Reduce the numbers with the greatest common factor, 2.
4. Multiply the fractions which would give you: 5/6
The distance between the flagpole and the building is the number of feet between them
The building is 162 feet from the flagpole
<h3>How to determine the distance</h3>
The given parameters are:
- Flagpole = 40 feet
- Building Shadow = 324 feet
The flagpole's shadow is 50% longer than the flagpole.
So, the length (l) of the flagpole's shadow is:


The length of the building's shadow (d) is then calculated as:

Express as fraction


Solve for d


The distance (x) of the building from the flagpole is then calculated as:


Hence, the building is 162 feet from the flagpole
Read more about distance and bearing at:
brainly.com/question/11744248
Answer: d. ∠u ≅ ∠v
Step-by-step explanation:
We know that when two triangles are congruent then their corresponding parts are congruent.
This property is known as CPCTC.
Given: triangle stu is congruent to triangle vwx
Thus, all corresponding sides are congruent
a.segment st ≅ segment vw and d. segment su ≅ segment vx , both are correct.
All corresponding angles are congruent,thus
∠s ≅ ∠v
∠t ≅ ∠w
∠u ≅ ∠x
Thus, d is the option which is not true.
Answer:
20,114 mi/h
Step-by-step explanation:
It can be convenient to remember that 1 mi/h = 22/15 ft/s. To convert the given number to the appropriate units, we can divide by this conversion factor:
(29500 ft/s)/((22/15 ft/s)/(1 mi/h)) = (29500·15/22) mi/h = 20113 7/11 mi/h
≈ 20,114 mi/h
Well since there are 13 cards per suit, you start off with 13 cards. then since there are 4 suits that are able to be used, but one of those 4 is the spades suit. so you have 3 6's that can be used besides the spades. so you are left with a total of 16 cards that fit the description.