It would be <SPA because angle TSV is congruent to angle PSM because they are verticle angles and the vertical angles theorem says that they are congruent angle RPS is congruent to PSM because they are alternating interior angles and angle SMB is congruent to angle SPA because they are alternating interior angles. So, through the process of elimination SPA is not congruent. That is the only angle that can't be congruent by a theorem so the the correct answer is <SPA
Answer:
C
Step-by-step explanation:
This means that there is another leg of an isosceles triangle that is also 5 inches.
a^2 + b^2 = c^2
a = 5
b = 5
c = ?
c^2 = 5^2 + 5^2 Combine
c^2 = 25 + 25
c^2 = 50 Take the square root of both sides.
sqrt(c^2) = sqrt(50^2)
c = sqrt(5 * 5 * 2) Take out 1 of two factors under the root sign.
c = 5 * sqrt(2) The 2 is left over because there is only 1 of them
sqrt(2) = 1.4142
c = 5 * 1.4142
c = 7.07 = 7.1
Answer:
The last answer ![\sqrt{65}](https://tex.z-dn.net/?f=%5Csqrt%7B65%7D)
Step-by-step explanation:
![7^2+4^2 = 65](https://tex.z-dn.net/?f=7%5E2%2B4%5E2%20%3D%2065)
The formula to find it is ![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
so
is correct
Let's simplify step-by-step.
<span><span><span><span>x−<span>3<span>(<span><span>2x</span>−1</span>)</span></span></span>−9</span>+<span>8x</span></span>+5
</span>Distribute:
<span>=<span><span><span><span><span><span>x+<span><span>(<span>−3</span>)</span><span>(<span>2x</span>)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(<span>−1</span>)</span></span></span>+</span>−9</span>+<span>8x</span></span>+5
</span></span><span>=<span><span><span><span><span><span><span>x+</span>−<span>6x</span></span>+3</span>+</span>−9</span>+<span>8x</span></span>+5
</span></span>Combine Like Terms:
<span>=<span><span><span><span><span>x+<span>−<span>6x</span></span></span>+3</span>+<span>−9</span></span>+<span>8x</span></span>+5
</span></span><span>=<span><span>(<span><span>x+<span>−<span>6x</span></span></span>+<span>8x</span></span>)</span>+<span>(<span><span>3+<span>−9</span></span>+5</span>)
</span></span></span><span>=<span><span>3x</span>+<span>−<span>1</span></span></span></span>
I think I have the diagram right.
Let ADB = x, and then BDC = x+32.
x+x+32 = 90
2x = 58
x = 29 = ADB
so BDC = 61