A line is 180°. If we subtract 180° by 124° we get 56° as our missing angle as <x.
Since <x and <Z are vertical angles, they are equal meaning since <x is 56°, so is <z.
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Answer : 56°
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I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you!!
~Zoey
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The speed of cheetah in feet per second 102.6669.
<h3>What is unit conversion?</h3>
Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors which change the measured quantity value without changing its effects.
Given:
speed= 70 miles per hour
Now,
1 miles per hour = 1.46667 feet per second
So, 70 miles per hour = 70* 1.46667
= 102.6669 feet per second
Hence, the speed in feet per second is 102.6669
Learn more about unit conversion here:
brainly.com/question/11543684
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Answer:
x is 13.03
Step-by-step explanation:
Start by determining the length of the horizontal side of one of the triangles shown. The Pythagorean Theorem applies here:
(horizontal side)² + 17² = 19², so that:
(horizontal side)² + 17² = 19² - 17², or 72
Then the length of the horizontal side is +√72, or √36√2, or 6√2.
From the diagram it is obvious that the width of the rectangle, x, can be found by subtracting twice the length of the horizontal side of one of the triangles from 31 (base of the entire figure):
x = 31 - 2(6√2) = 13.03
x is 13.03
The answer is C: (3,3)
<span><span><span>x+<span>3y</span></span>=12</span>;<span><span><span>−<span>4x</span></span>+<span>3y</span></span>=<span>−3</span></span></span>Step: Solve<span><span>x+<span>3y</span></span>=12</span>for x:<span><span><span>x+<span>3y</span></span>+<span>−<span>3y</span></span></span>=<span>12+<span>−<span>3y</span></span></span></span>(Add -3y to both sides)<span>x=<span><span>−<span>3y</span></span>+12</span></span>Step: Substitute<span><span>−<span>3y</span></span>+12</span>forxin<span><span><span><span>−<span>4x</span></span>+<span>3y</span></span>=<span>−3</span></span>:</span><span><span><span>−<span>4x</span></span>+<span>3y</span></span>=<span>−3</span></span><span><span><span>−<span>4<span>(<span><span>−<span>3y</span></span>+12</span>)</span></span></span>+<span>3y</span></span>=<span>−3</span></span><span><span><span>15y</span>−48</span>=<span>−3</span></span>(Simplify both sides of the equation)<span><span><span><span>15y</span>−48</span>+48</span>=<span><span>−3</span>+48</span></span>(Add 48 to both sides)<span><span>15y</span>=45</span><span><span><span><span><span>15y</span>15</span></span></span>=<span><span><span>4515</span></span></span></span>(Divide both sides by 15)<span>y=3</span>Step: Substitute3foryin<span><span>x=<span><span>−<span>3y</span></span>+12</span></span>:</span><span>x=<span><span>−<span>3y</span></span>+12</span></span><span>x=<span><span><span>(<span>−3</span>)</span><span>(3)</span></span>+12</span></span><span>x=3</span><span>(Simplify both sides of the equation)</span>
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<span>Hope this helps!</span>
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