Answer:
Since it is a right angle, you know that the angle measures 90 degrees. Since one acute angle measures 5x (times) the other, you would set it up in equation format as 5x + x = 90.
5x + x = 6x, so
6x = 90
you divide both both sides by 6 (90/6) = 15
To find the measure of the angle that is 5x (times) the other, you do 5(15) = 75 degrees and the other angle is 15 degrees, which adds up to 90 degrees.
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Answer:
A = 1024π
Step-by-step explanation:
Use this equation to find the surface area of the sphere
Simplify the exponent
A = 4π(256) Multiply
A = 1024π
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Let's solve your equation step-by-step.<span><span><span>34</span><span>(<span>x+8</span>)</span></span>=9</span>Step 1: Simplify both sides of the equation.<span><span><span>34</span><span>(<span>x+8</span>)</span></span>=9</span><span><span><span><span>(<span>34</span>)</span><span>(x)</span></span>+<span><span>(<span>34</span>)</span><span>(8)</span></span></span>=9</span>(Distribute)<span><span><span><span>34</span>x</span>+6</span>=9</span>Step 2: Subtract 6 from both sides.<span><span><span><span><span>34</span>x</span>+6</span>−6</span>=<span>9−6</span></span><span><span><span>34</span>x</span>=3</span>Step 3: Multiply both sides by 4/3.<span><span><span>(<span>43</span>)</span>*<span>(<span><span>34</span>x</span>)</span></span>=<span><span>(<span>43</span>)</span>*<span>(3)</span></span></span><span>x=4</span>Answer:<span>x=4</span>
For this case we are going to define the original coordinates:
(x, y): original coordinates.
We apply the transformation:
(x, y) -------> (-x, y + k)
We have:
-x: reflection on the y axis.
y + k: translation k units up.
Answer:
The point was reflected over the y-axis and translated up.
