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Answer is attached ! Hope it helps
Answer:
Step-by-step explanation:
Problem One
All quadrilaterals have angles that add up to 360 degrees.
Tangents touch the circle in such a way that the radius and the tangent form a right angle at the point of contact.
Solution
x + 115 + 90 + 90 = 360
x + 295 = 360
x + 295 - 295 = 360 - 295
x = 65
Problem Two
From the previous problem, you know that where the 6 and 8 meet is a right angle.
Therefore you can use a^2 + b^2 = c^2
a = 6
b =8
c = ?
6^2 + 8^2 = c^2
c^2 = 36 + 64
c^2 = 100
sqrt(c^2) = sqrt(100)
c = 10
x = 10
Problem 3
No guarantees on this one. I'm not sure how the diagram is set up. I take the 4 to be the length from the bottom of the line marked 10 to the intersect point of the tangent with the circle.
That means that the measurement left is 10 - 4 = 6
x and 6 are both tangents from the upper point of the line marked 10.
Therefore x = 6
4h−6=22
1. Add 6 to both sides.
<span><span><span><span>4h</span>−6</span>+6</span>=<span>22+6</span></span>
<span><span>4h</span>=28
</span>2.Divide both sides by 4.
<span><span><span>4h/</span>4</span>=<span>28/4
</span></span><span>h=<span>7
</span></span>−8s+1=33
1: Subtract 1 from both sides.
−8s+1−1=33−1
−8s=32
2: Divide both sides by -8.
−8s/−8=32/−8
<span>s=-4
</span><span><span><span>
−<span>4w</span></span>−4</span>=8
</span>Step 1: Add 4 to both sides.
<span><span><span><span>−<span>4w</span></span>−4</span>+4</span>=<span>8+4
</span></span><span><span>−<span>4w</span></span>=12
</span>2: Divide both sides by -4.
<span><span><span>−<span>4w/</span></span><span>−4</span></span>=<span>12/<span>−4
</span></span></span><span>w=<span>−3</span></span>
<span>
Step 1: Simplify both sides of the equation.</span>
<span><span><span><span>1/7</span>b</span>+5</span>=<span>−2
</span></span> 2: Subtract 5 from both sides.
<span><span><span><span><span>1/7</span>b</span>+5</span>−5</span>=<span><span>−2</span>−5
</span></span><span><span><span>17</span>b</span>=<span>−7
</span></span>3: Multiply both sides by 7.
<span><span>7*<span>(<span><span>1/7</span>b</span>)</span></span>=<span><span>(7)</span>*<span>(<span>−7</span>)
</span></span></span><span>b=<span>−49</span></span>
Answer:
The correct answer is C
Step-by-step explanation:
The height of the original triangle is 3 and the length is 6, so we have a ratio of 3:6. The only triangle that works is the one with a height of 5 and a length of 10 because both simplify to 1:2.
Hope this helped!
