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denpristay [2]
3 years ago
10

The sum of the angle measures of any triangle is 180 degrees. Suppose that one angle in a triangle has a degree measure of +3x2

and another has a degree measure of +8x7 . Write an expression for the degree measure of the third angle in the triangle.
Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0
One angle has +3x^2 degrees measure 
another has +8x^7 degrees measure 

total has 180 degrees measure 

so the third angle has a measure of 180 -(3x^2 +8x^7)  degrees 

hope this will help you 
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15x+1200=y what is the change in the total cost for each book printed? What is the cost to get started before any books are prin
Mrac [35]
The total cost before books are printed is $1200 (the constant).

The change to the total cost is the x, which is a variable, and can change depending on the amount of books printed.


hope this helps
6 0
3 years ago
A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. C
Sladkaya [172]

Answer:

0.89.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;

(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."

(2). " distributed on the interval [0,60] and are independent."

(3). "The insurer covers 100% of each claim."

So, taking (1) above we will have;

(Total probability= 0.7 + 0.2 + 0.1 = 0.1)

A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.

0.8 + total probability = 0.8 + 0.1 = 0.9.

So, from the question, we are to "Calculate the probability that the total benefit paid to the policyholder is 48 or less."

Hence, P< 48/A = P < 48/0.9 = P < 53.33.

Thus, 53.33/60 = 0.89.

6 0
3 years ago
Five times a certain number, minus 5, is equal to 7 more than three times the number. What is the number
JulijaS [17]

Answer:

6

Step-by-step explanation:

let’s start with putting the unknown to x, in this case it is the number.

5x-5=7+3x, so now we just solve this equation.

5x-3x=7+5

2x=12

x=6

4 0
3 years ago
What is the value of X?
andrezito [222]

Solution:

<u>Note that:</u>

  • 3x + 50 = 6x - 10 (Vertically opposite angles)

Simplify the equation to find x.

<u>Add 10 both sides.</u>

  • 3x + 50 = 6x - 10
  • => 3x + 50 + 10 = 6x - 10 + 10
  • => 3x + 60 = 6x

<u>Subtract 3x both sides.</u>

  • 3x + 60 = 6x
  • => 3x - 3x + 60 = 6x - 3x
  • => 60 = 3x

<u>Divide 3 both sides.</u>

  • 60 = 3x
  • => 60/3 = 3x/3
  • => x = 20
6 0
3 years ago
Read 2 more answers
Find the dimensions of an American football field. The length is 200 ft more than the width, and the perimeter is 1,040 ft. Find
natka813 [3]

Answer:

The width of the football field is 160 feet.

The length of the football field is 360 feet.

Step-by-step explanation:

Let w represent width of the football field.

We have been given that the length is 200 ft more than the width, so the length of the field would be w+200.

We are also told that the perimeter is 1,040 ft. We know that football field is in form of rectangle, so perimeter of field would be 1 times the sum of length and width. We can represent this information in an equation as:

2(w+w+200)=1040

Let us solve for w.

2(2w+200)=1040

4w+400=1040

4w+400-400=1040-400

4w=640

\frac{4w}{4}=\frac{640}{4}

w=160

Therefore, the width of the football field is 160 feet.

Upon substituting w=160 in expression w+200, we will get length of field as:

w+200\Rightarrow 160+200=360

Therefore, the length of the football field is 360 feet.

7 0
3 years ago
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