Answer:
189
Step-by-step explanation:
You take 63% make it a decimal by dividing it by 100 and then you multiply it with 300. 300*.63=189.
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:
3rd degree
Step-by-step explanation:
The highest exponent is a 3, meaning this is a 3rd degree polynomial.
To find the answer to this problem, you just need to figure out which total amount of candy is divisible by 7.
161/7=23
<span>162/7=23.1428571429
</span>145/7=<span>20.7142857143
128/7=</span><span>18.2857142857
Obviously, Julie cannot give a fraction of an amount of candy to someone. So that rules out that she had 162, 145, or 128 pieces of candy.
The only amount of candies that Julie could have that is divisible by 7 is 161 candies, which means that 161 is your answer.</span>
Answer:
the last option: y=x^2 +3
Step-by-step explanation:
