Answer/Step-by-step explanation:
1. x*21 = 24*14 (intersecting chords theorem)
21x = 336
x = 336/21
x = 16
2. 27*x = 45² (secant-tangent rule)
27x = 2,025
x = 2,025/27
x = 75
3. (x + 5)*5 = (4 + 6)*6 (Intersecting secants theorem)
5x + 25 = (10)*6
5x + 25 = 60
5x = 60 - 25
5x = 35
x = 35/5
x = 7
4. (4x + 2)*8 = (5x + 1)*7
32x + 16 = 35x + 7
Collect like terms
32x - 35x = -16 + 7
-3x = -9
x = -9/-3
x = 3
Based on the definition of an isosceles triangle, the measure of angle L is: 43°
<em><u>Recall:</u></em>
- An isosceles triangle has two side lengths that are equal in size, and also the angles opposite the equal sides are congruent.
Given that KL ≅ MK in △KLM, it means △KLM is an isosceles triangle.
If m∠M = 43°, therefore, m∠M = m∠L (equal angles directly opposite KL and MK).
This implies that: m∠L = 43°
In summary, based on the definition of an isosceles triangle, the measure of angle L is: 43°
Learn more about isosceles triangle on:
brainly.com/question/11884412
Answer:
A) 6,3
Why?
The midpoint, which is somewhat self-explanatory thanks to its name, is a point in the center of a line.
To answer this question properly, you need to analyze the line and assess the situation.
How did it go from x = 2 to x = 10? Let's see, if we count by two's across the line, you'll notice it makes more sense. So now we know that every square goes up by two. x = 6 is the exact center of the line.
I hope this wasn't confusing, it's tough to explain it!
What is the question that is being asked?
Factor it.
<span>x² - x - 6 </span>
<span>----------- = </span>
<span>x² - 4 </span>
<span>(x - 3)(x + 2) </span>
<span>----------------- = </span>
<span>(x - 2)(x + 2) </span>
<span>Cancel out the x + 2 factors. </span>
<span>x - 3 </span>
<span>------ <==ANSWER </span>
<span>x - 2 </span>
<span>I hope that helps!! :)</span>
