Answer:
the measure of <6 is 77 degrees
x + 13 = 90
x = 77
Step-by-step explanation:
The area of the original plot is 200 x 300 = 60000
<span>So the problem says </span>
<span>(x + 200)(x + 300) = 120000 </span>
<span>Proof: 300 x 400 = 120000 </span>
<span>x^2 + 500x + 60000 = 120000 </span>
<span>x^2 + 500x - 60000 = 0 </span>
<span>(x + 600)(x - 100) = 0, so </span>
<span>x = - 600 (reject), x = 100 </span>
<span>So x = 100 meters </span>
<span>Proof: 300 x 400 = 120000</span>
Answer:
False
Step-by-step explanation:
constant of proportionality => COP
3: P(triangle ABC) = 84
COP = 18/15 = 1.2
Since you are finding the larger triangle, multiply the other numbers by 1.2
25 * 1.2 = 30
28 * 1.2 = 33.6
17 * 1.2 = 20.4
add them all up (answer up top)
5: P(triangle ABC) = 61.2
COP = 9/5 = 1.8
Since you are finding the larger triangle, multiply the other numbers by 1.8
9 * 1.8 = 16.2
13 * 1.8 = 23.4
12 * 1.8 = 21.6
add them all up (answer up top)
6: P(triangle RST) = 110
RP and PT are congruent, this means that PT is also 20
COP = 40/20 = 2
Since you are finding the larger triangle, multiply the other numbers by 2
25 * 2 = 50
20 * 2 = 40
10 * 2 = 20
add them all up (answer up top)
The measure of the angle <JKL is 56 degrees
<h3>Tangent secant theorem of a circle</h3>
The theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Given the following parameters
m<IL = 112 degrees
Since the measure of the vertex is half the measure of its intercepted arc, hence;
<JKl = 1/2(m<IL)
Substitute the given parameters into the formula to have;
<JKl = 1/2(112)
<JKL = 56 degrees
Hence the measure of the angle <JKL is 56 degrees
Learn more on Tangent secant theorem here: brainly.com/question/26826991
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