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laiz [17]
3 years ago
8

Question 2 of 10

Mathematics
2 answers:
nadezda [96]3 years ago
8 0

Equate the two z + w = x + y + z  (subtract z from both sides) w = x + y

blagie [28]3 years ago
6 0

Answer:

A E F

Explanation:

Rules to know:

Triangles = 180 degrees

Straight lines = 180 degrees (example z + w = 180)

Therefore: angles of straight line = angles of triangle

A : w is an obtuse angle (greater than 90) and x is acute (less than 90)

E : w is obtuse whereas y is acute.

F : Since triangle = 180 = x + y + z

Straight line = 180 = z + w

Equate the two:

z + w = x + y + z  (subtract z from both sides)

w = x + y

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Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a mean of 450 seconds a
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You would have to estimate this and a rough estimate would be around 240

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What is the slope of line m?
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Slope= -0.5

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Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. Her friend invested the s
Natali5045456 [20]

The right system of equations to describe the situation would be on the form:

x1 = 8000 + y1*t

and

x2 = 8000 + y2*t

where x1 and x2 represents the total money of Imogene and her friend respectively at the end of t years.

Now for the value of amount earned, y1 and y2:

y1=8000*0.08

y2=2000*√(t-2)

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3 years ago
An article reports "sales have grown by 30% this year, to $200 million." What were sales before the growth? An article reports "
zimovet [89]

The amount of sales before growth according to the article is $153.85 million

<h3>How to find sales before growth?</h3>

let

  • Sales before growth = x
  • Percentage growth = 30%
  • New sales = $200 million

200 = x + (30% × x)

200 = x + (0.3 × x)

200 = x + 0.3x

200 = 1.3x

x = 200/1.3

x = 153.846153846153

Approximately,

x = $153.85 million

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1 year ago
Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct
Nana76 [90]

Answer:

Fx=\frac{5\pm\sqrt{25+24} }{6}

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

ax^2+bx+c

Where:

a\neq 0

The roots of this equation can be found using the quadratic formula, which is given by:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

So:

y(x)=3x^2-5x-2=0

As you can see, in this case:

a=3\\b=-5\\c=-2

Using the quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}=\frac{-(-5)\pm\sqrt{(-5)^2-4(3)(-2)} }{2(3)}=\frac{5\pm\sqrt{25+24} }{6}

Therefore, the answer is:

Fx=\frac{5\pm\sqrt{25+24} }{6}

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3 years ago
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