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schepotkina [342]
3 years ago
9

Two angles of a triangle measure 120 and 40°.

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0

Answer: 20°

the measure of the third angle of the triangle is x ( 0 < x < 90)

because this is 3 angles in a triangle, we have:

120 + 40 + x = 180

⇔ x = 180 - 120 - 40

⇔ x = 20°

Step-by-step explanation:

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6) y = -5(x + 7)<br> Is it linear
Firdavs [7]

Answer:yes

Step-by-step explanation:

It has the y=mx+b format

5 0
3 years ago
A print shop makes bumper stickers for election campaigns. If x stickers are ordered (where x &lt; 10,000), then the price per s
Sergeu [11.5K]

Answer:

P(x) = (0.049x - 0.0000015x²)

Step-by-step explanation:

price per sticker is 0.14 − 0.000002x dollars

total cost of producing the order is 0.091x − 0.0000005x² dollars.

P(x) = profit = Revenue - Cost

Let the number of units of stickers made be x

Revenue = (price per sticker) × (total units sold) = (0.14 − 0.000002x) × (x)

= (0.14x - 0.000002x²) dollars.

Cost of producing x units in the order = (0.091x − 0.0000005x²)

P(x) = 0.14x - 0.000002x² - (0.091x − 0.0000005x²) = 0.14x - 0.091x - 0.000002x² + 0.0000005x²

= (0.049x - 0.0000015x²)

P(x) = (0.049x - 0.0000015x²)

Hope this Helps!!!

3 0
4 years ago
n the 1920s, sled dog teams delivered mail to remote cities like Nome in the winter. The lowest temperature most sled dogs can r
Hunter-Best [27]

Answer:

-50

Step-by-step explanation:

-71 + 21

-50

The 21 is positive so we subtract it off like when we do 1 - 1. The second 1 is negative to the first 1 who is positive.

Have an amazing day!

PLEASE RATE!!!

4 0
3 years ago
In 1987 the average price of gasoline was $0.94. Today the price of has is about $3.00. What is the percent increase from 1987 t
NeX [460]

formula for percent of increase:

difference of Original and new price/original price then multiply by 100

2.06/3.00=.69

.69 x 100=

69% is the percent of increase


5 0
4 years ago
Records indicate that x years after 2008, the average property tax on a three bedroom home in a certain community was T(x) =20x^
dem82 [27]

Answer:

a) 40 dollars

b) 480 dollars

Step-by-step explanation:

Given the average property tax on a three bedroom home in a certain community modelled by the equation T(x) =20x²+40x+600, the rate at which the property tax is increasing with respect to time in 2008 can be derived by solving for the function T'(x) at x=0

T'(x) = 2(20)x¹ + 40x° + 0

T'(x) = 40x+40

At x = 0,

T'(0) = 40(0)+40

T'(0) = 40

Hence the property tax was increasing at a rate of 40dollars with respect to the initial year (2008).

b) There are 4 years between 2008 and 2012. To know how much that the tax change between the years 2008 and 2012, we will find T(4) - T(0)

Given T(x) =20x²+40x+600

T(4) =20(4)²+40(4)+600

T(4) = 320+160+600

T(4) = 1080 dollars

Also T(0) =20(0)²+40(0)+600

T(0) = 0+0+600

T(0)= 600 dollars

T(4) - T(0) = 1080 - 600

T(4) - T(0) = 480 dollars

Hence, the tax has changed by $480 between 2008 and 2012

6 0
4 years ago
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