Answer: D. Yes, because there are two pairs of congruent corresponding angles,∠M=∠Q=25° and ∠O=∠P=50°.
Step-by-step explanation:
Given: ΔMNO with NO=9 , ∠N=105° and ∠O=50° then by angle sum property of triangles
∠M+∠N+∠O=180°
⇒∠M=180°-(∠N+∠O)
⇒∠M=180°-(105°+50°)
⇒∠M=180°-(155°)
⇒∠M=25°
Now in ΔMNO and ΔPRQ
∠M=∠Q=25° and ∠O=∠P=50°
Therefore by AA similarity criteria for similar triangles ,they are similar
i.e. ΔMNO ≈ ΔPRQ.
Thus D is the right option.
Answer: D. The total number of mentions will increase about 4,566 after 5 weeks.
Step-by-step explanation:
Given: In the first week, the number of mentions received by social media = 600
Since, the total number of mentions increases by half every week.
Therefore, they will increase exponentially with the rate of increase = 50%=0.5
let x be the number of weeks since the concert was announced will the total number of mentions increase to about 4,556.
Then, according to the question, we have
Hence, The total number of mentions will increase about 4,566 after 5 weeks.
Answer: 4th one?
Step-by-step explanation:
Answer: Ok So Compute successive differences of the terms. If they are all the same, the sequence is arithmetic and the common difference is the difference you have found. If successive pairs of differences have the same ratio, the sequence is geometric The common pattern in an arithmetic sequence is that the same number is added or subtracted to each number to produce the next number. This is called the common difference. The common pattern in a geometric sequence is that the same number is multiplied or divided to each number to produce the next number.and the common ratio is the ratio you have determined.
Hope this helps have a awesome day❤️
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
This is a compound growth problem which is governed by the formula shown below:
Where
F is the future amount (we want to find this)
P is the present amount (which is 75,000)
r is the rate of increase, in decimal (this is 2.2% or 2.2/100 = 0.022)
t is the time in years (which is 11 years)
Substituting the known values, we find F, the amount it is worth after 11 years:
Rounding to nearest hundred, that will be $95,300
Answer choice C is right.