Answer:
<DEB= 125 degrees
Step-by-step explanation:
To get this, you would need to know all 2 angles of the triangle.
To find the first angle, simply do 180-107 to get 73(because supplementary angles add up to 180 degrees).
Next, 180-52(given angle)-73 to get 55 because the 3 angles of a triangle add up to 180(triangle angle sum theory).
You would see that <DEB is part of another supplementary angle so, do 180-55 to get 125.
<DEB=125 degrees.
1. <span>8.79 which becomes 8.80 after rounding. </span><span>
2. 152.05</span>
From the graph, we see that two similar triangles are created by using the slope of the line.
• Because the two triangles appear to have congruent angles and proportional side lengths, we can conclude with the information we have that the two triangles are indeed similar. They are the same shape but proportional with congruent angles.
• Therefore, a/b = c/d because the scale factor remains the same of both ratios.
•We can also see that in larger triangle, the slope = 3/6 and the slope of the smaller one = 2/4. 3/6 = 2/4 because 3/6 = 1/2 and 2/4 = 1/2. Therefore, the slopes are proportional and equal.
• Because the slopes are proportional and the triangles are proportional, the a/b = c/d.
Answer:
t = In2/ r
Step-by-step explanation:
Given the formula : A = Pe^rt
For investment to double ;
Final amount (A) = 2 * initial investment (p)
A = 2p
Hence,
2p = pe^rt
2 = e^rt
Take the In of both sides
In2 = rt
Divide both sides by r
In2 /r = rt /r
In2/ r = t
t = In2/ r ; Hence, the proof
That is the answer. hopefully I can help you.