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nkaliloa
10.10.2020 •
Mathematics
Match the sale ad.
1) $75.00 off a grill that is normally sells for $399.99 a) 17.5%
2) $115.00 off a grill that normally sells for $599.99 b) 15.0%
3) $35.00 off a grill that normally sells for 199.99 c) 19.2%
4) $45.00 off a grill that normally sells for $299.99 d) 18.8%
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Ответ:
answer:
the correct option is d. 54°
step-by-step explanation:
for better understanding of the solution, see the attached figure :
given : cd and de are tangent to the circle. measure of arc ac = 126°
to find : measure of ∠cde
solution : measure of arc ac = 126°
⇒ ∠cae = 126°
now, as radius is perpendicular to the tangent of the circle
⇒ ∠aed = 90°
similarly, ∠acd = 90°
now, in quadrilateral sum of all the angles is 360°
⇒ sum of all the angles of quadrilateral aedc is 360°
⇒ ∠aed + ∠acd + ∠cae + ∠cde = 360°
⇒ 90° + 90° + 126° + ∠cde = 360°
⇒ 306° + ∠cde = 360°
⇒ ∠cde = 54°
hence, the measure of angle cde = 54°
therefore, the correct option is d. 54°