According to the picture, angles 1 and 2 have the same measure because they are corresponding angles. Make equal both expressions for 1 and 2 and find x.

$\begin{gathered} 50-2x=110-42x \\ 42x-2x=110-50 \\ 40x=60 \\ x=\frac{60}{40} \\ x=\frac{3}{2} \end{gathered}$

x is 3/2. Replace this value in both expression to find the measure of each angle.

$\begin{gathered} \measuredangle1=50-2x \\ \measuredangle1=50-2(\frac{3}{2}) \\ \measuredangle1=50-3 \\ \measuredangle1=47 \\ \measuredangle2=110-42x \\ \measuredangle2=110-42(\frac{3}{2}) \\ \measuredangle2=110-63 \\ \measuredangle2=47 \end{gathered}$

The measure of these angles is 47°

7 0

1 year ago

Find the area of a circle with radius, r = 76cm.<br> Give your answer rounded to 3 SF.

PSYCHO15rus [73]

Answer:

17,700.00

Step-by-step explanation:

Area of a circle = 22

------ r2

=22

------ 76x76 =123,750

7 ---------- =1,768.571

1,768.571 rounded to 3 SF=17700.00

5 0

2 years ago

A leaky faucet has a drip that produces 1.2 drops per second. How many drops will occur in one day?. Show all steps neatly.Write

NemiM [27]

28.8 drops will occur in one day because if you multiply 1.2 by 24, it will equal 24. I multiplied by 24 because 1 day is 24 hours

hope it helped :3

3 0

3 years ago

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