Answer:
∠ 1 = 123°
Step-by-step explanation:
One way
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an external angle of the triangle, thus
∠ 1 = 90° + 33° = 123°
Second way
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for third angle in Δ
third angle = 180° - (90 + 33)° = 180° - 123° = 57°
The third angle and ∠ 1 form a straight angle and are supplementary, thus
∠ 1 = 180° - 57° = 123°
Let's solve your equation step-by-step.<span><span>−<span>3x</span></span>=<span><span>5x</span>+8</span></span>Step 1: Subtract 5x from both sides.<span><span><span>−<span>3x</span></span>−<span>5x</span></span>=<span><span><span>5x</span>+8</span>−<span>5x</span></span></span><span><span>−<span>8x</span></span>=8</span>Step 2: Divide both sides by -8.<span><span><span>−<span>8x</span></span><span>−8</span></span>=<span>8<span>−8</span></span></span><span>x=−1 Answer =-1 I used a calculator </span>
Answer:
6
Step-by-step explanation:
Chords within a circle are proportional. Proportional means that they form equal ratios. To solve for y, set up a proportion.
The ratios we will create will be 
where each long and short form an angle.
So write:
To solve, cross multiply numerator with denominator.
12(4) = 8(y)
48=8y
6=y
