Answer:
53.3 degrees
Step-by-step explanation:
∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:
DE corresponds to RS
EF corresponds to SQ
DF corresponds to RQ.
Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.
The ratio of their corresponding sides = DE/RS = 6/3 = 2
EG/SQ = 8/4 = 2
DF/RQ = 4/2 = 2.
Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.
Therefore, their corresponding angles would be equal.
Thus, m<Q = m<F
Let's find angle F
m<F = 180 - (98 + 28.7)
m<F = 53.3°
Since <F corresponds to <Q, therefore,
m<Q = 53.3°
1. a+3a+4b=5b
2. a+3a=5b-4b
3. 4a=5b-4b
4. 4a=b
a=1/4b
(I think 1/4b is the answer) hope this helps :)
Answer:
On the 1st Jan 2012 Beth invested some money into a bank account.The account pays 2.5% interest per year.On the 1st Jan 2013 she withdraws £1000.
Step-by-step explanation:
13 she withdraws £1000.On the 1st Jan 2014 she had £17,466 in the account.How much money did Beth originally invest into the account.Please show your method.
