Answer:
∠5 = 95°
Step-by-step explanation:
Where the transversal crosses parallel lines at some angle not a right angle, all of the acute angles are congruent, and all of the obtuse angles are congruent. The acute angles are (obviously) not congruent with the acute angles. Any acute angle is supplementary to any obtuse angle.
Since angles 5 and 6 are a linear pair, the angle relationships of the parallel lines are irrelevant. A linear pair of angles is supplementary.
∠6 = 85° . . . . is given
∠5 is shown as obtuse, so its measure is ...
∠5 = 180° -85° = 95°
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<em>Additional comment</em>
85° angles: 2, 3, 6, 7
95° angles: 1, 4, 5, 8
Any angle from the 85° angle list is <em>not congruent</em> with any angle from the 95° angle list. For example, angles 2 and 5 are not congruent.
Answer:
sorry never seen this
Step-by-step explanation:
Answer:
368 miles
Step-by-step explanation:
Sorry if its wrong
Answer:
9x+8
Step-by-step explanation:
Given DS = 3x+10 and SE = 6x-2_ the value of DE is expressed as shown;
DE = DS+SE
Substitute the given functions into the formula to get DE
DE = (3x+10)+(6x-2)
Open the parentheses
DE = 3x+10+6x-2
Collect the like terms
DE = 3x+6x+10-2
DE = 9x+8
Hence the value of DE is 9x+8
The surface area of the parallelogram based prism is 1548 units squared.
<h3>Surface area of a parallelogram based prism.</h3>
The prism has 2 parallelogram base and 4 rectangular faces.
Therefore,
surface area of the prism = 2 (area of the base) + area of the 4 rectangular faces
Therefore,
surface area of the prism = 2(12 × 17) +2(19 × 13) + 2(19 × 17)
surface area of the prism = 2(204) + 2(247) + 2(323)
surface area of the prism = 408 + 494 + 646
surface area of the prism = 1548 units²
learn more on prism here: brainly.com/question/22786015
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