Answer:
<h2>m∠ABD = 20°</h2>
Step-by-step explanation:
If m∠ABC = 40° and BD is the bisector of ∠ABC, then
(1) m∠ABD = m∠DBC
(2) m∠ABC = m∠ABD + m∠DBC
From (1) and (2) we have:
m∠ABC = 2m∠ABD
Therefore
2m∠ABD = 40° <em>divide both sides by 2</em>
m∠ABD = 20°
21.99 or 22 days
you just take 1900000 divided by 86400 and you get 21.99 or 22 days to spend the money
Number of difference arrangements = 5! = 5 x 4 x 3 x 2 x 1 = 120
Answer: There are 120 different arrangements.
Answer with Step-by-step explanation:
Let there be d dimes and q quarters
A woman has 21 total coins in her pocket.
⇒ d+q=21 ------(1)
1 dime=$ 0.1
1 quarter=$ 0.25
The total value of her change is $3.90
⇒ 0.1d+0.25q=3.90
Multiplying both sides by 100,we get
10d+25q=390 --------(2)
(2)-10×(1)
10d+25q-10d-10q=390-210
15q=180
Dividing both sides by 15, we get
q=12
Putting value of q in (1),we get
d=9
Hence, Number of dimes=9
and number of quarters=12
Write the number of dimes, then the number of quarters separated by a comma.
9,12
