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ddd [48]
3 years ago
5

To be considered similar, two polygons must have corresponding sides that are in proportion.

Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0
I think the correct answer is true. <span>To be considered similar, two polygons must have corresponding sides that are in proportion. S</span><span>imilar polygons is referred as congruent polygons. Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object. </span>
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WILL GIVE BRAINLIEST!! ASAP <br> Which of the following expressions are equivalent to 6^-3
olga_2 [115]

Answer: 1/6^3 AND 1/216

Step-by-step explanation:

A negative number always goes to the denominator to become positive.

7 0
3 years ago
Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
3 years ago
Determine the total cost of 5.75 pounds of jellybeans using a proportion
Yuliya22 [10]
X=number of pounds
y=cost of pound .
x+y=cost
3 0
3 years ago
Employee Earnings per
Nadya [2.5K]

Answer:

actually its depend on how is he working day by day

4 0
3 years ago
Suppose $600 is compounded yearly for 20 years. If no other deposits are made, what rate is needed for the balance to triple in
denis-greek [22]

Answer:

5.65%

Step-by-step explanation:

Principal=$600

Time=20 years

FV=600*3=$1800

n=1

r=?

r= n[(A/P)^1/nt - 1]

=1{(1800/600)^ 1/1*20 - 1}

={(3)^1/20-1}

=3^0.05-1

=1.0565-1

=0.0565

rate=0.0565*100

=5.65% to the nearest hundredth percent

4 0
3 years ago
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