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Ad libitum [116K]
3 years ago
11

PLease help im literally having a mental breakdown

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

a) X = 65°

b) Y = 71°

c) Z = 44°

Step-by-step explanation:

a) X is a vertical angle with the one marked 65°, so has that same measure.

b) Y is an opposite interior angle with the one marked 71° where the transversal between angles Y and Z crosses the parallel lines. That makes it have the measure 71°.

c) Z is the third angle of a triangle with the other two angles being 65° and 71°, so it is 180° -65° -71° = 44°. (The sum of angles of a triangle is 180°.)

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Helga [31]
\frac{27}{4}=\frac{24+3}{4}=\frac{24}{4}+\frac{3}{4}=6+\frac{3}{4}=6\frac{3}{4}
5 0
3 years ago
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A square pyramid has a height of 25 ft and each side of the base has a length of 15 ft.
Naya [18.7K]

Answer:

Surface area of square pyramid is computed as follows:

A = a² + a*√(a² + 4h²)

where <em>a</em> is the base length and <em>h</em> is the height.

If a model of the square pyramid is scaled down by a factor of x, then the surface area will be:

A' = (a/x)² + (a/x)*√[(a/x)² + 4(h/x)²]

A' = a²/x² + a/x * √[a²/x² + 4h²/x²]

A' = a²/x² + a/x * √[(a² + 4h²)/x²]

A' = a²/x² + a/x * √(a² + 4h²)/√x²

A' = a²/x² + a/x² * √(a² + 4h²)

A' = 1/x² * [a² + a*√(a² + 4h²)]

A' = 1/x² * A

That is, the surface area will be 1/x² times the original surface area. If h = 25 ft and a = 15 ft:

A = 15² + 15*√(15² + 4(25)²) =  1008.02 ft²

The factor is not mentioned in the question, nevertheless, the area will be  1008.02/factor² ft²

3 0
4 years ago
If K(3, -7) is rotated 270°, what will be the coordinates of its image
gavmur [86]

Answer:

<em>Given </em><em>point </em><em>is </em><em>K </em><em>(</em><em> </em><em>3</em><em>,</em><em> </em><em>-</em><em>7</em><em> </em><em>)</em>

Step-by-step explanation:

Rotation through 270

K ( 3, -7) K'( -7 , -3 )

Hope it was helpful

7 0
3 years ago
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if the length of a model car is 5 inches &amp; the length of the actual car (real ) is 140 inches. write the scale factor?? 2 qu
Vaselesa [24]
Is this 2 questions or is it just one whole question?
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3 years ago
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Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. f(x) = 5x3 + 2x2 + 7
larisa86 [58]

<u><em>Answer:</em></u>

<u>The two correct options are:</u>

The first term, 5x³, can be eliminated

The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

<u><em>Explanation:</em></u>

The degree of an expression is given based on the highest power in the expression

<u>The given expression is:</u>

5x³ + 2x² + 7x - 3

We can note that the highest power in the given expression is 3 which means that <u>the degree of the expression is 3</u>

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Accordingly, Martha should get rid of the term with power 3 (5x³) in her equation

<u>This can be done by 2 methods:</u>

1- She simply eliminates the term with the third degree

2- She changes the degree of the term with degree 3 to a lower degree and combines it with any existent like term

<u>Comparing the above with the given options, we can conclude that the two correct options are:</u>

- The first term, 5x³, can be eliminated

- The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Hope this helps :)

6 0
3 years ago
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