Answer:
BD = <u>1</u> unit
AD = <u>1</u> unit
AB = <u>1.6</u> units
AC = <u>1.6</u> units
Step-by-step explanation:
In the picture attached, the triangle ABC is shown.
Given that triangle ABC is isosceles, then ∠B = ∠C
∠A + ∠B + ∠C = 180°
36° + 2∠B = 180°
∠B = (180° - 36°)/2
∠B = ∠C = 72°
From Law of Sines:
sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB
(Remember that BC is 1 unit long)
AB = AC = sin(72°)/sin(36°) = 1.6
In triangle ABD, ∠B = 72°/2 = 36°, then:
∠A + ∠B + ∠D = 180°
36° + 36° + ∠D = 180°
∠D = 180° - 36° - 36° = 108°
From Law of Sines:
sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB
(now ∠A = ∠B)
BD = AD = sin(∠A)*AB/sin(∠D)
BD = AD = sin(36°)*1.6/sin(108°) = 1
5x=3x+20
5x-3x=3x-3x+20
2x=20
2x/2=20/2
X=10 Hope this helped!
-Twix
There are 5 sides/angles in a pentagon. Formula (n-2)180 so (5-2)180 which is (3)180=540. In a regular Pentagon there is an area of 540°
Answer: In the chart, put 6 in place of the question mark.
The equation should be something like w = 2/3 p
W is the number of quarts of water. P is the number of quarts of Pineapple juice.
This week they will need 3 times the previous week so 18 quarts of pineapple juice and 12 quarts of sparkling water.
Step-by-step explanation:
If the basic recipe is 2 water to 3 juice, and they used 4 quarts if water, you can see that is <u>double the amount of</u> water so you need <u>double the amount </u> of juice. 2 times 3 is 6.
<em>Unit rate</em> means for ONE quart of juice, how much sparkling water is used. that should be 1 Pineapple Juice for 2/3 Sparkling water
OR
for EACH quart of sparkling water, how much juice do you need.
that would be 1 unit of Sparkling Water for 1 1/2 units of Pineapple Juice
