Pythagorean theorem is applied to the right triangles.
Pythagorean theorem is a²+b²=c².
a is the length is the leg, b is also a leg and c is the hypotenuse
Answer:x =8.3
Step-by-step explanation:
Triangle ABG is similar to triangle DBE. This means that the ratio of the length of each side of ∆ABG to the length of the corresponding side of ∆DBE is constant. Therefore,
AB/DB = BG/BE = AG/DE
AB = 11
BG = 10 + x
Therefore,
11/6 = (x + 10)/10
Cross multiplying, it becomes
6(x + 10) = 11 × 10
6x + 60 = 110
Subtracting 60 from left hand side and the right hand side of the equation, it becomes
6x + 60 - 60 = 110 - 60
6x = 50
Dividing the left hand side and the right hand side of the equation by 6, it becomes
6x/6 = 50/6
x = 8.3 rounded up to the nearest tenth
Arc ML = 2×∠MNL
= 2×43°
= 86°
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The measure of an inscribed angle is half the measure of the arc it intercepts. This simple relationship is used in many geometry problems, so is worth remembering (or at least, writing down in a handy place).
Brandon. He earns $25 per lawn, while Adam only earns $20 per lawn
Answer:
the answer is 2,and 4 and 5