The answer should be J.15.
You found CD from the Pythagorean theorem to be ...
... CD = √(5² -2²) = √21
Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:
... AC/AD = AB/AC
... AB = AC²/AD
... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle
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Then the area (A) is ...
... A = (1/2)bh
... A = (1/2)(12.5)(√21) ≈ 28.64 square units
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As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...
... ADC ~ CDB ~ ACB
You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.
Answer:
1/8th cup of marshmallows in each mug
Step-by-step explanation:
In order to split up the 1/2 cup of marhsmallows into 4 cups, you have to divide.
To divide, 1/2 by 4, you have to multiply 1/2 by the reciprocal of 4, which is 1/4.
1/2 x 1/4 = 1/8
Answer:
√97 units
Step-by-step explanation:
the distance between the two points in (-5,0) and (-9,9) is √97 units.
Answer:
Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.
Work out the total fine paid by Amelia. Give your answer in £
