What is the measure of angle AOD? The picture is attached below. Please help!!

Mathematics

1 answer:

Flura [38]2 years ago

7 0

Answer:

51°

Step-by-step explanation:

Note that the square in the angle place = 90°.

Also note, that a complete circle is 360°.

Set the equation. Let the ? be denoted by the variable x:

x + 90+ 124 + 95 = 360

Simplify. Combine like terms:

x + (90 + 124 + 95) = 360

x + (309) = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 309 from both sides of the equation:

x + 309 (-309) = 360 (-309)

x = 360 - 309

x = 51

51° is your answer.

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Let x = charge before tax in 1st city, and y = charge before tax in 2nd city

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$\begin{bmatrix}y=1500+x\\ 0.04x+0.035y=408.75\end{bmatrix}\\\\\mathrm{Substitute\:}y=1500+x\\\\begin{bmatrix}0.04x+0.035\left(1500+x\right)=408.75\end{bmatrix}\\\begin{bmatrix}0.075x+52.5=408.75\end{bmatrix}\\\\\ x = 4750\\\mathrm{For\:}y=1500+x\\\mathrm{Substitute\:}x=4750:\\\\y=1500+4750 = 6250$