Answer:
The triangles can be congruent.
Step-by-step explanation:
They are congruent if proven by SSS: 2 sides are clearly stated that they are congruent due to the marks they have.
The last side can be congruent if the diagonals are congruent in length by proving.
They can also be congeuent due to SAS because there is gonna be alternate interior angles due to the transversal.
Answer:
Health inspector:7,14,21,28
Fire inspector:12,24,36,48
They will both be there on day 84
Answer:
5
Step-by-step explanation:
The side with 4 cubes has a length of 2, the side with 2 cubes has a length of 1, and the side with 5 cubes has a length of 2.5.
2 x 1 x 2.5 = 5
Let 2k represent the original even number (such that k is an integer)
then 2(k + 1) is the next consecutive even number.
4(2k) - 16 = 2(k + 1)
8k - 16 = 2k + 2
6k = 18
k = 3
since 2k represents the original number, then 2(3) = 6 is the oroginal number
Answer: 6
A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.
There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.
The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.
However, if the question were to say "and," we would multiply the two probabilities.
Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).


Now we can add them together.

This cannot be simplified further, so the probability is 17 in 52, or 33%.
hope this helps!