Answer:
30√85 or 276.5863 meters
Step-by-step explanation:
Use pythag theorom. a^2+b^2=c^2
180^2+210^2=c^2
c=276.5863
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
_____
Then the area (A) is ...
... A = (1/2)bh
... A = (1/2)(12.5)(√21) ≈ 28.64 square units
_____
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.
A+b=82
a:b=9,r=2
a=b*9+2
9b+2+b=82
10b=80
b=8
a=8*9+2=72+2=74
Sper ca asta sa te ajute! :)
Avand in vedere ca aceasta este varianta pentru americani intrebarea ta ar trebui stearsa, pentru varianta in limba romana poti intra pe brainly.ro.Succes! ^^
Answer: The system consists of parallel lines
Step-by-step explanation:
Given system of lines :
Substitute in , we get
, which is not true.
That means , system has no solution.
i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]
Answer:
2,455
Step-by-step explanation:
Use PEMDAS to solve
First multiply 50x50, which is 2,500
50 x 50 + 60 - 105 becomes
2,500 + 60 - 105
Now to the addition or subtraction from left to right
2,560 - 105
2,455
