Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 45 of the number of part 1 que
1 answer:
Given :
Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 2/3 of the number of part 2 questions.
To Find :
The total number of questions on Stephanie's exam.
Solution :
Let, number of questions in Part 1 is x :
Let, number of questions in Part 2 is y :
Therefore, total number of questions on Stephanie's exam are 20 + 40 = 60.
Hence, this is the required solution.
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Answer:
<em>90 degree</em>
Step-by-step explanation:
Three points A, B, and C are added and shown in attached picture.
As the property of inscribed angle in circle:
angle BAC = (1/2) x 88 = 44 deg
As the property of complement angle:
angle ABC = 180 - 89 = 91 deg
As the property of sum of three angles in a triangle:
angle ACB + angle ABC + angle BAC = 180 deg
=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg
One more time, we use the property of inscribed angle in circle:
x = 2 x angle ACB = 2 x 45 = 90 deg
Hope this helps!
Answer:
x = 23
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
=
= 3
multiply both sides by (x - 10)
3(x - 10) = 39 ( divide both sides by 3 )
x - 10 = 13 ( add 10 to both sides )
x = 23