Answer:
cups of flour is required for 3 sticks of butter.
Step-by-step explanation:
We assume that quantity of flour is proportional to butter.
Given : The recipe calls of
cups of flour and
stick of butter.
Let

For
, we will find
by using formula of direct proportion: 

Hence,
cups of flour is required for 3 sticks of butter.
The answer is 1:55. You add 3 hours to 10 and you get 1. then you add 20 minutes to 35.
Answer:
m∠BAC=45°
Step-by-step explanation:
Firs we graph the given points to see the shape of triangle.
We can clearly see that triangle BAC is a right angle triangle whose sides BA and BC both are equal to 4 units.
We know that equal sides of triangle corresponds to equal angles.
Hence
∠A = ∠C ...(i)
We know that sum of all three angles of a triangle is 180°. So we can write
∠A + ∠B + ∠C=180°
∠A + ∠B + ∠A=180° {from (i) }
∠A + 90° + ∠A=180° {∠B is right angle}
2∠A + 90° =180°
2∠A = 90°
divide both siide by 2
∠A = 45°
∠A and ∠BAC are same
Hence
m∠BAC=45°
Answer:
156
312 and
39
Step-by-step explanation:
Let Allen be A , Jane be J and Bob be B
Allen has 4 times as Bob
So
A = 4B
Jane has twice as Allen
So
J = 2A
Together, Allen and Jane has 468 cards
A + J = 468
Substitute 2A for J in the third equation.
We have
A + J = 468
A + 2A = 468
3A = 468
Divide both sides by 3
3A/3 = 468/3
A = 156
Recall
A = 4B
Therefore
156 = 4B
Divide both sides by 4
156/4 = 4B/4
39 = B
B = 39
Also,
J = 2A
J =2 x 156
J = 312
Allen has 156 cards
Jane has 312 cards and
Bob has 39 cards
The main difference between Hexagon and Quadrilateral is that the Hexagon is a polygon with six sides and Quadrilateral is a polygon with four sides. In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six sided polygon or 6-gon.