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IRINA_888 [86]
3 years ago
10

I need to figure out what x is

Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0
For all triangles, the angle sum is 180°, therfore we can add all the angles up to solve x
54 + 55 + x + 74 =180
183 + x =180
X = 180 - 183
X = - 3 °
Don't worry, negative result is normal and possible.
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What is the opposite reciprocal of 2/3?
Gekata [30.6K]

Answer:

\frac{3}{2} if you're asking for the reciprocal.

\frac{2}{3} if you're asking the opposite of a reciprocal.

Step-by-step explanation:

The reciprocal is the number flipped or in this case \frac{3}{2}

6 0
3 years ago
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Since both terms have the same variable to the same power, you can simply add the coefficients...

14x^7
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2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):
zlopas [31]
<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)

First pair of opposite sides:

<u>Slope:</u>

\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}

Second pair of opposite sides:

<u>Slope:</u>

\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\

So the diagonals measure the same, therefore this is a rectangle.

5 0
3 years ago
(I think I know it just checking) Which function has a period equal to half the period of the function in y=5cos(3/5x-pi)+4.. th
eduard

Answer:

A is your answer

Step-by-step explanation:

4 0
3 years ago
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Please help me with how to solve this equation by completing the square. The answer should be (2, -6)
OLga [1]

Answer:

(2, -6)

Step-by-step explanation:

5n^2+20n-60

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(5n = -30)/5

n = - 6

n - 2 = 0

n = 2

answer: (2, -6)

5 0
3 years ago
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