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fomenos
3 years ago
5

Solve for x and y. Geometry

Mathematics
1 answer:
Otrada [13]3 years ago
4 0

Answer:

x =106.5

y = 73.5

Step-by-step explanation:

Angle x is 1/2 arc SPQ

x = 1/2(98+115)

x = 1/2(213)

x =106.5

We know that x+y = 180  since this is an inscribed quadrilateral in a circle

x+y=180

106.5 +y =180

Subtract 106.5 from each side

106.5-106.5 +y =180-106.5

y = 73.5

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What are the features of the parabola modeled by the equation f(x) = x2 - 114x ?
notsponge [240]

Answer:

Answers are in bold type

Step-by-step explanation:

f(x) = x^{2} -144x

The parabola opens up, so has a minimum at the vertex.

Let (h, k) be the vertex

h = -b/2a = - (-144)/2(1) = 57

k = 57^2 - 144(57) = 3249 - 6498 = -3249

Therefore, the vertex is (57, -3249)

The minimum value is -3249

The domain is the set of real numbers.  

The  range = {y | y ≥ -3249}

The function decreases when -∞ < x < 57  and increases when 57 > x > ∞

The x - intercepts:  x^{2} -144x = 0

                                x(x - 114x) = 0

                                x = 0 or x = 114

x-intercepts are (0, 0) and (0, 114)

When x = 0, then we get the y-intercept.  So, 0^2 - 114(0) = 0

y-intercept is (0, 0)

3 0
3 years ago
a box contains 'n' quarters and some dimes. the ratio of quarters to dimes is 1:2. write an expression for the total number of m
True [87]
The ratio 1:2 means there are twice as many dimes as there are quarters.  An expression could be n=2d, n being number of quarters, d being number of dimes.
3 0
3 years ago
73 m is equal to ____ dm. (Only input whole number answer.)<br><br> Numerical Answers please!
olasank [31]

Answer:

73 m is equal to 730 dm

Step-by-step explanation:

We Need to convert 73 m into dm

We know that 1 meter is equal to 10 decimeter

We are given 73 m. Multiply it with 10 and we will get value in decimeter

73*10

= 730 decimeter

So, 73 m is equal to 730 dm

7 0
3 years ago
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There are 203 apples in a basket. How many children can share these apples equally? How many apples would each child get?
tangare [24]
I think this is factorials
so an example would b....... 1*2*3*4*5.... ect

hope this helps
6 0
3 years ago
Read 2 more answers
Find the domain of the function shown. Write the answer in interval notation.
lara31 [8.8K]

( - ∞, 3) ∪ (3, ∞ )

The domain is the set of values of x which make f(x) defined

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solve x - 3 = 0 ⇒ x = 3

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7 0
3 years ago
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