Answer:
1. We have been given that a∥b , and c is neither parallel to a nor b.
Let us see which of our given options are correct.
A. m∠7 can not be equal to m∠11 as line c is not parallel to line a.
B. m∠5 can not be equal to m∠12 as line c is not parallel to line b.
C. By alternate interior angles m∠4=m∠5 as ∠4 is inside line a and ∠5 is inside line b. Both angles are on the opposite sides of transversal.
D. Since we know that corresponding angles are congruent. We can see that ∠5 corresponds to ∠1, therefore, m∠1=m∠5.
Therefore, Option C and D are correct choices.
2. We have been given that AB∥CD and m∠4=85°. We are asked to find measure of ∠5.
Since we know that same side interior angles are supplementary. In our figure we can see that ∠4 and ∠5 are same side interior angles.
Therefore, measure of ∠5 will be 95 degrees.
Step-by-step explanation:
1. is m∠4=m∠5 by the alternate interior angle theorem.
2. Angles 4 & 3 are supplementary angles or linear pair and so they have to equal 180 and 180 - 85= 95 3 & 5 are corresponding angles so 95 should be your answer.
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The union - set of all elements in O and T ( or both ):
O U T = { 49,50,52,54,55,56,59,60,61,62,65,68,70,71,72,74,75 }
Number of elements in the set O U T is 17. Answer: C )
Answer:
non proportional
Step-by-step explanation:
1/2 doesnt go into 3/4 and 20 doesnt go into 150
187 ft/s. I think that this might be an equation, but if it is not, I'm sorry.
Answer:
Step-by-step explanation:
Hooke's Law applies here, which is a linear relationship. It would be easier to solve this using proportions with N of force on the top and the amount of stretch in cm on the bottom. Set up with our unknown, the number of cm:
and cross multiply:
20x = 300 so
x = 15 cm
