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Hitman42 [59]
3 years ago
7

I really need help with these 2 geometry questions tysm

Mathematics
1 answer:
qwelly [4]3 years ago
7 0

Answer:

180 + 9 - 4 = 185

5x = 185

185/5= 37

A = 37 X 2 - 9 = 65

B = 37 X 2 + 4 = 78

C = 37

A + B + C = 180

65 + 78 + 37 = 180

A = 65 degrees

B = 78 degrees

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Congruent because you can map the triangles using a reflection across the y-axis which is a rigid motion
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What is the probability that a randomly selected person supports the new station??
mezya [45]

Answer:

.52

Step-by-step explanation:

We can write an equation

supports/all

we can see that 27 males and 25 females support which means that

27+25= 52 total people support

now we just need to find the number of people surveyed

we do this by summing everything

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7.EE.1.1
victus00 [196]

Answer:

-0.55n - 0.05

Step-by-step explanation:

You can start by distributing:

(0.25n - 0.3) - (0.8n - 0.25)

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Then, you can combine like terms(0.25n & -0.8n; -0.3 & 0.25)

-0.55n - 0.05

4 0
3 years ago
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Consider the functions f and g defined by \[f(x) = \sqrt{\dfrac{x+1}{x-1}}\qquad\qquad\text{and}\qquad\qquad g(x) = \dfrac{\sqrt
tino4ka555 [31]

Answer:

The given functions are not same because the domain of both functions are different.

Step-by-step explanation:

The given functions are

f(x)= \sqrt{\dfrac{x+1}{x-1}}

g(x) = \dfrac{\sqrt{x+1}}{\sqrt{x-1}}

First find the domain of both functions. Radicand can not be negative.

Domain of f(x):

\dfrac{x+1}{x-1}>0

This is possible if both numerator or denominator are either positive or negative.

Case 1: Both numerator or denominator are positive.

x+1\geq 0\Rightarrow x\geq -1

x-1\geq 0\Rightarrow x\geq 1

So, the function is defined for x≥1.

Case 2: Both numerator or denominator are negative.

x+1\leq 0\Rightarrow x\leq -1

x-1\leq 0\Rightarrow x\leq 1

So, the function is defined for x≤-1.

From case 1 and 2 the domain of the function f(x) is (-∞,-1]∪[1,∞).

Domain of g(x):

x+1\geq 0\Rightarrow x\geq -1

x-1\geq 0\Rightarrow x\geq 1

So, the function is defined for x≥1.

So, domain of g(x) is [1,∞).

Therefore, the given functions are not same because the domain of both functions are different.

4 0
4 years ago
suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq
lesya [120]

Answer:

<h3>            f(x) = - 3(x + 8)² + 2</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k   - the vertex form of the quadratic function with vertex    (h, k)

the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8

the <u>maximum height of 2</u> means  k = 2

So:

f(x) = a(x - (-8))² + 2

f(x) = a(x + 8)² + 2   - the vertex form of the quadratic function with vertex   (-8, 2)

The parabola passing through the point (-7, -1) means that if x = -7 then        f(x) = -1

so:

    -1 = a(-7 + 8)² + 2

 -1 -2 = a(1)² + 2 -2

      -3 = a

Threfore:

The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:

                                 <u>f(x) = -3(x + 8)² + 2</u>

8 0
3 years ago
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