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alex41 [277]
3 years ago
10

Point G is thr incenter of the triangle. what is the value of x?a.4b.c.24d.32

Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0

Answer: The value of x =8.


Step-by-step explanation:

We know that the incenter of triangle is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.

Thus if G is the incenter of \triangle DEF then, it is bisecting \angle{F}

\Rightarrow\angle{GFE}=\angle{GFD}

\\\Rightarrow2x=16\\\Rightarrow\ x=8

Therefore, the value of x=8.

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Which expression does the phrase "five times the difference of x and 4" represent? A. 5x + 4 B. 5x - 4 C. 5(x + 4) D. 5(x - 4)
avanturin [10]

it's D because 5 time the difference of means it's gotta be 5 time the answer of a problem in parenthesis , the rest is quite logical so... yeah it's D

4 0
3 years ago
The coordinate grid above shows a pentagon. The pentagon is translated 1 unit to the left and 10 units down to create a new pent
Flauer [41]

The pentagon is translated 1 unit to the left, so the points move to the left by 1 unit. Moving left or right changes the x value, when you move right, the x value increases, when you move left, x decreases. Since x is going left 1 unit:

So x - 1

10 units down. Moving up down or up changes the y value, when you move down, y decreases, when you move up, y increases. Since the pentagon is going down 10 units:

y - 10

Your answer is A

4 0
3 years ago
Musa ships cars into Ghana, Nigeria and Benij republic from the United States of America. The import duty costs are 10%, 25% and
babunello [35]

The Benz C300 markup should be $15525. The markup price for the new Toyota Highland should be $43470

Step-by-step explanation:

For the used Benz C300

Initial price $12,000

Apply import duty for Nigeria which is 25%, which is similar to increasing the price by 25%

100% +25%=125%

12000*125/100 = $15000

Apply the 15% profit

100%+15%=115%

15000*115/100 =$17250

Apply the 10% discount, reducing the price by 10%

100%-10%=90%

17250*90/100 =$15525

The Benz C300 markup should be $15525

For the Toyota Highlander

Initial price = $30,000

Apply import duty for Nigeria for new cars, which is 40%, which is similar to increasing the car price by 40%

100%+40%=140%

30,000*140/100 =$42000

Apply the 15% profit

15%+100%=115%

115/100*42000 =$48300

Apply the 10% discount

100%-10%=90%

48300*90/100=$43470

The markup price for the new Toyota Highland should be $43470

Learn More

Percentage increase and decrease :brainly.com/question/11537235

Keywords : cars, import duty, cost, minimum profit, discount, reseller

#LearnwithBrainly

6 0
3 years ago
What is the result of (x^2 – 10x) – (–5x^2 + x)?
Tanzania [10]

Answer:

( {x}^{2}  - 10x) - ( - 5 {x}^{2}  + x) \\  {x}^{2}  - 10x + 5 {x}^{2}  - x \\  \boxed{6 {x}^{2}  - 11x}

<h3>(6x²-11x) is the right answer.</h3>
6 0
3 years ago
the area of a small square is 25 square units what is the exact length in units of a single of a large square
Furkat [3]

Answer:

5

Step-by-step explanation:

The area of any quadrilateral can be determined by multiplying the length of its base by its height. Since we know the shape here is square, we know that all sides are of equal length. From this we can work backwards by taking the square root of the area to find the length of one side.

3 0
3 years ago
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