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3 years ago

NEED EXPLANATION AND PROCESS!!!

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

3 0

Answer:

x = 133

y = 43

Step-by-step explanation:

x + 47 = 180

so x is 133

47 + y = 90

so y is 43

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Which congruence statement is true.!?

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3 years ago

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3 years ago

F(n)=4n <br> g(n)=n2+2n <br> find f(g(-6))

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Answer:

When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.

Step-by-step explanation:

To evaluate f(g(-6)), first find g(-6).

g(n) = n² + 2n

Substitute value.

g(-6) = (-6)² + 2(-6)

Square -6. Remember that (-x)² = x²

g(-6) = 36 + 2(-6)

Multiply 2 and -6.

g(-6) = 36 - 12

Subtract 12 from 36.

g(-6) = 24.

Now knowing this, substitute that value into f(n).

f(g(-6)) = f(24)

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Multiply 4 and 24.

f(24) = 96.

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2 years ago

All three sides of a triangle are initially 5.0 long. One of the triangle's sides is oriented horizontally. The triangle is scal

zlopas [31]

Answer:

h = 3.62

Step-by-step explanation:

First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:

$relation\ between\ areas=( relation\ between\ sides)^2\\\frac{0.7A}{A}=(\frac{s}{5})^2\\s= 5\sqrt0.7= 4.18$

Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:

$4.18^2=h^2+(\frac{4.18}{2})^2\\h=\sqrt (4.18^2-2.09^2)=3.62 m\\h= 3.62$

Finally the height of this new triangle is 3.62 cm

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3 years ago