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3 years ago

Triangle DEF has an angle D measuring 25 degrees and an angle E

Mathematics

1 answer:

andrew-mc [135]3 years ago

5 0

Answer:

The angle F of the triangle DEF measures 105 degrees.

Step-by-step explanation:

Given that triangle DEF has an angle D measuring 25 degrees and an angle E measuring 50 degrees, to determine what is the measure of angle F in degrees, knowing that the sum of the internal angles of every triangle gives a total of 180 degrees, we must perform the following calculation:

180 - 50 - 25 = F

130 - 25 = F

105 = F

Therefore, the angle F of the triangle DEF measures 105 degrees.

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What is 126 divided by 14?

lana66690 [7]

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4 years ago

The internet was used by 30% of the population of a state in 2008. If 3200 people were surveyed, how many in the survey were usi

andrew-mc [135]

1. We know that 30% expressed as a decimal is 0.30

Since 30% of people were using the internet, 0.30*3200 is our answer.
3200*0.30= 960.

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3 years ago

Enter your answer and show all the steps that you use to solve this problem in the space provided.

rodikova [14]

Answer:

$\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}$

Step-by-step explanation:

f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4

Step 1. Calculate the difference between the functions

(a) Write the two functions, one above the other, in decreasing order of exponents.

ƒ(x) = 9x³ + 2x² - 5x + 4

g(x) = 5x³ - 7x + 4

(b) Create a subtraction problem using the two functions

ƒ(x) = 9x³ + 2x² - 5x + 4

-g(x) = <u>-(5x³ - 7x + 4) </u>

ƒ(x) -g(x)=

(c). Subtract terms with the same exponent of x

ƒ(x) = 9x³ + 2x² - 5x + 4

-g(x) = <u>-(5x³ - 7x + 4) </u>

ƒ(x) -g(x) = 4x³ + 2x² + 2x

Step 2. Factor the expression

y = 4x³ + 2x² + 2x

Factor 2x from each term

y = 2x(2x² + x + 1)

$\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}$

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3 years ago

marshall took $36.75 to a fair. Each ticket into the fair costs X dollars. marshall bought 3 tickets. which expression represent

Sholpan [36]

Y = money left over
X = fair ticket

Y = 36.75 - 3x

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3 years ago

Marcus has 2 blue pens, 3 red pens, and a green pen in his backpack. He will pick a pen, give it to a friend, and pick another p

iVinArrow [24]

Answer:

There is a zero percent chance of him giving his friends two green pens.

Step-by-step explanation:

He only has One pen.

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3 years ago