Answer:
Dasha has 52 roses
Step-by-step explanation:
Rewrite the first sentence in an equation: (D= Dasha) (A= Anna)
D=4A
Rewrite the second sentence in an equation:
A+39=D
1) Substitute A+39 as D in the first equation:
A+39=4A
2) Subtract A from both sides:
3A=39
3) Divide both sides by 3:
A=13
4) Now substitute 13 as A in the second equation:
13+39=D
5) Solve:
D=52
1/3 hour = 20 minutes
1 1/2 dozen = 12 + 6 = 18 cookies
18 cookies x 3 (3 sets of 20 minutes = 1 hour) = 54 cookies per hour
Answer:
320+40=360
Step-by-step explanation:
8(40+5)
320+40=360
Answer:
=4/13
Step-by-step explanation:
There are 13 hearts in a deck
4 jacks
but 1 is the jack of hearts so we don't double count it
13+4-1 = 16
P( heart or a jack) = jack or heart/ total
= 16/52
=4/13
Answer:
Step-by-step explanation:
Given:
∠DCE ≅ ∠DEC
∠B ≅ ∠F
DF ≅ BD
To prove:
ΔABC ≅ ΔGFE
Solution:
Statements Reasons
1). ∠DCE ≅ ∠DEC 1). Given
2). ∠ACB ≅ ∠GEF 2). Vertically opposite angles to the
congruent angles.
3). ∠B ≅ ∠F 3). Given
4). DB ≅ DF 4). Given
5). DC + CB ≅ DE + EF 5). Segment addition postulate
6). DC ≅ DE 6). Property of isosceles triangle
7). CB ≅ EF 7). Transitive property
8). ΔABC ≅ ΔGFE 8). ASA property of congruence
