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.
There are 64 people in the room.
Since the ratio for women increases 1 when 8 women enter the room, for every time there is 1 in the ratio there are 8 people. That means that originally you have to do 3x8 and 4x8. You get 24 and 32 which equals 56. Then when 8 more women enter the room, you get 64.
Answer:
How do I have the same problem as a high schooler when im in 6th grade
Step-by-step ex
jsn=55
Answer:
1 13/20
Step-by-step explanation:
5 1/2 ÷ 3 1/3
11/2 ÷ 10/3
11/2 x 3/10 = 33/20
33/20 = 1 13/20
Hope this helps :)
3/2x + 1/5x = 11/6x - 2/15....to get rid of fractions, multiply by common denominator, which is 30.
45x + 6x = 55x - 4
51x = 55x - 4
51x - 55x = -4
-4x = -4
x = -4/-4
x = 1
