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OverLord2011 [107]
3 years ago
13

In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 4 is 43 degrees, then the me

asure of angle 6 is 43 degrees and the measure of angle 5 is ______ degrees. The measure of angle 8 is 43 degrees and the measure of angle 1 is _____ degrees.

Mathematics
1 answer:
pshichka [43]3 years ago
6 0

Answer:

angle 5 is <u>137</u> degrees

angle 1 is <u>137</u> degrees

Step-by-step explanation:

angle 5 and 6 are supplementary angles meaning together they add up to 180 degrees. to find angle 5 you must find the difference:

180-43=137

so angle 5 is 137 degrees.

likewise, angle 1 and angle 4 are supplementary angles. find the difference:

180-43=137

so angle 1 is also 137 degrees.

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Given,

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Step-by-step explanation:

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<span>Let's analyze Hannah's work, step-by-step, to see if she made any mistakes. 

</span>In Step 1, Hannah wrote \dfrac{d}{dx} (-3+8x) <span> as the sum of two separate derivatives </span>\dfrac{d}{dx}(-3)+ \dfrac{d}{dx} (8x) <span>using the </span><span>sum rule.
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In Step 2, \dfrac{d}{dx}(8x) was kept as it is, and \dfrac{d}{dx}(-3) was rewritten as 0 using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.

This step is perfectly fine. 

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