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Lapatulllka [165]
4 years ago
5

Parallelogram APSM

Mathematics
1 answer:
Anni [7]4 years ago
4 0
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 
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Ainat [17]

Answer:

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Step-by-step explanation:

Right = has angle measure of 90°

Acute = has angle measure less than 90°

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<u>Obtuse = Angle measure greater than 90° and less than 180°</u>

Hope this helps!

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3 years ago
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8 0
3 years ago
Solve for x.<br><br> <img src="https://tex.z-dn.net/?f=15log_%7B8%7D%20%28-2x-7%29-2%3D3" id="TexFormula1" title="15log_{8} (-2x
vova2212 [387]

Answer: x=-4.5

Step-by-step explanation:

Add 2 to both sides of the equation and divide both sides of the equation by 15. Then:

15log_{8} (-2x-7)-2+2=3+2\\15log_{8} (-2x-7)=5\\\\\frac{15log_{8} (-2x-7)}{15}=\frac{5}{15}\\\\log_{8}(-2x-7)=\frac{1}{3}

Apply base 8 to both sides of the equation:

8^{log_{8}(-2x-7)}=8^{\frac{1}{3}}\\\\-2x-7=8^{\frac{1}{3}}

Solve for "x", then you get:

-2x-7=8^{\frac{1}{3}}\\\\-2x=\sqrt[3]{8}+7\\\\ x=\frac{\sqrt[3]{8}+7}{-2}\\\\x=-4.5

 

5 0
4 years ago
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