Answer:
BD = 22, DC = 11√3
Step-by-step explanation:
In triangle ABC, ∠B = 45°, ∠C = 90°. Hence:
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
∠A + 45 + 90 = 180
∠A + 135 = 180
∠A = 45°
Using sine rule to find BC:
In triangle BCD, ∠D = 30°, ∠C = 90°. Hence:
∠D + ∠B + ∠C = 180° (sum of angles in a triangle)
∠B + 30 + 90 = 180
∠B + 120 = 180
∠B = 60°
Using sine rule to find BD:
Using sin rule to find DC:
<u>Answer with step by step explanation</u>
To find the equation of the line from the given equation, you have to make y as the subject in the equation.
<u>Let us find now.</u>
x + 3y = -4
3y = -4 - x
3y = -x - 4
<em>Divide the whole equation by 3.</em>
y = -x/3 - 4/3
Therefore, <u>the equation of the line</u> is:
<u> y = -x/3 - 4/3</u>
And now we have to find the slope and the y - intercept of the line.
That is, we have to find the m & c of y = m x + c.
Here,
m ⇒ slope
c ⇒ y - intercept
So, to find it we have to find the values which were replaced with m & c.
<u>Let us find now.</u>
y = m x + c
y = <u>-x/3</u> <u> - 4/3</u>
Now it is clear that, <u>-1/3 & -4/3 are replaced with m & c</u> respectively.
Therefore,
slope ⇒<u> -1/3</u>
y - intercept ⇒<u> -4/3</u>
Answer:
8 cups of water
Explanation:
2 cups of water = 3 cups of flour
x cups of water = 12 cups of flour
12/3=4
2x4=8
Answer:
Associate Property of Multiplication
Step-by-step explanation:
