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3 years ago

PLEASE HELP, ANSWER BOTH OR CHOOSE ON TO ANSWER

Mathematics

1 answer:

katen-ka-za [31]3 years ago

3 0

Answer:

d) angle 6 is alternate interior angle to angle 3

e) angle 2 is alternate exterior angle to angle 7

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Write the equation of a vertical ellipse with a major axis of 20, a minor axis of 12, and a center of (6, 3)

maksim [4K]

Answer:

The equation of a vertical ellipse is $\frac{(x-6)^2}{100} + \frac{(y-3)^2}{36} = 1\\$

Step-by-step explanation:

Here, given:

Length of major axis: 20

⇒ 2 a = 20 , or , a = 10

Length of minor axis: 12

⇒ 2 b = 12 , or , b = 6

Also, center (h,k) = (6,3)

Now, STANDARD EQUATION OF ELLIPSE :

$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1\\$

Now, substituting the values, a, b , h and k in above expression, we get:

$\frac{(x-6)^2}{10^2} + \frac{(y-3)^2}{6^2} = 1\\$

or, $\frac{(x-6)^2}{100} + \frac{(y-3)^2}{36} = 1\\$

Hence, the equation of a vertical ellipse is $\frac{(x-6)^2}{100} + \frac{(y-3)^2}{36} = 1\\$

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3 years ago

Malaya thinks of two different plans she could use to save money in a bank account. The tables show the account balances for eac

Kryger [21]

Answer:

plan A balance will be greater

Step-by-step explanation:

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3 years ago

Please help me i really need help please help me please

AlexFokin [52]

Answer:11.2

Step-by-step explanation:cant round it

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3 years ago

"18 less than a number"

Dmitriy789 [7]

Answer:

18 is 1 and 8 put togother.

Step-by-step explanation:

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3 years ago

Read 2 more answers

Using polygon STUVW what is m angle U ?

bija089 [108]

Answer:

The m∠ U is 72°.

Step-by-step explanation:

Given:

$\angle S = 90\\\angle T = 2x\\\angle U = x\\\angle V = 2x\\\angle W = 90\\$

To find :

$\angle U = x = ?$

Solution:

The sum of the measures of the interior angles of a polygon with 'n' sides is given as

$\textrm{sum of the measures of angle of a polygon with 'n' sides} = (n - 1)\times 180$

Here we have n = 5 on substituting the values we get

$\angle S +\angle T + \angle U +\angle V + \angle W = (5 -2)\times 180\\90 + 2x + x + 2x + 90 = 3\times 180\\5x + 180 = 540\\5x = 540-180\\5x = 360\\x = \frac{360}{5}\\x = 72$

Therefore,

m∠ U is 72°.

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3 years ago