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frutty [35]
3 years ago
8

The sum of the measures of two exterior angles of a triangle is 269. What is the measure of the third exterior angle?

Mathematics
1 answer:
love history [14]3 years ago
4 0

Answer:

91°

Step-by-step explanation:

plz mark brainliest

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Combine the like terms to create an equivalent expression −n+(−3)+3n+5
spin [16.1K]

Answer:

2n+2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
You want $5000 4 years from nowfor a down payment for a car. How much money must be deposited monetly into an account earning 4.
timama [110]

Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

Y ( 1+ \dfrac{0.042}{12})

The total amount after 4 years will be:

= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})

= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)

Using the sum of a geometric progression:

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}

The above amount is then equal to $5000

i.e

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000

Y =  \dfrac{5000\times 0.0035}{(1.0035)(1.0035^{48}-1)} \\ \\  \mathbf{Y = \$95.5090}

8 0
3 years ago
Help please.
matrenka [14]

Answer:

4. Slope of function B = -slope of function A

Step-by-step explanation:

Given:

Function A is given as:

F(x)=-2x+1

The above equation is of the form y=mx+b, where m represents slope of the line.

Therefore, on comparing the function A with the above standard form, er conclude that, slope of function A is -2.

Now, from the graph of function, we consider any two points on the graph and determine the slope of the line using the two points.

Let us consider the points (x_1,y_1)=(1.5,0)\ and\ (x_2,y_2)=(3,3)

Now, the slope of the line passing through these two points is given as:

m_B=\frac{y_2-y_1}{x_2-x_1}=\frac{3-0}{3-1.5}=\frac{3}{1.5}=2

Therefore, slope of function B is 2.

Therefore, the correct relation between the slopes of the two functions is that the slope of function B is negative of the slope of function A.

m_B=-(m_A)=-(-2)=2

5 0
3 years ago
A painting measures b meters by 4 meters. a frame shop charges $10 per meter for a wooden frame. how much would it cost to buy a
hammer [34]

$ (20b + 80) is the cost to buy a frame for the panting given that measures b meters by 4 meters and charges $10 per meter for a wooden frame. This can be obtained by finding the perimeter of the painting and multiplying with the cost of wood per meter.

<h3>What is the cost of buying a frame for the painting?</h3>

Given that,

length of the painting (l) = b meters

width of the painting (b) = 4 meters

Perimeter of the painting = 2(l+b)

                                          = 2(b+4)

                                          = 2b + 8

Cost of the frame = (2b + 8)× $10 per meter

                             = $ (20b + 80)

Hence $ (20b + 80) is the cost to buy a frame for the panting given that measures b meters by 4 meters and charges $10 per meter for a wooden frame.

Learn more about finding cost of frame:

brainly.com/question/16757070

#SPJ4

4 0
2 years ago
Please help graphing them
Semenov [28]
......................

6 0
4 years ago
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