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guapka [62]
2 years ago
12

GI bisects with angle DGH so that m angle DGI is x - 3 and m angle IGH is 2x-13. What is x?

Mathematics
2 answers:
11111nata11111 [884]2 years ago
7 0
X-3 = 2x-13
+x +x

-3 = 3x-13
+13 +13

10 = 3x
10/3 3/3

3.3=x

leonid [27]2 years ago
3 0

Answer:

x=10

Step-by-step explanation:

We are given that GI bisects the angle DGH.

m\angle DGI=x-3

m\angle IGH=2x-13

We have to find the value of x

m\angle DGI=m\angle DGH (GI bisect angle DGH)

x-3=2x-13

-3+13=2x-x

10=x

Hence, the value of x=10

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A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover?
Black_prince [1.1K]
1 gal = 400 ft²
2 3/8 gal = ? ft²

to solve, use similar ratios with units gal/ft² and compare

(1)/(400) = (2 3/8)/(x)

*multiply both sides by (x) and divide both sides by (1)/(400), you get:

x = (400)*(2 3/8)/(1) = 400*(2 3/8) = 400*2 + 400*3/8 = 800 + 150 = 950 ft²

<u><em>answer is 950 ft²</em></u>

8 0
2 years ago
Assuming that the Chinese population continues to grow at the same rate, how many years until the population reaches 1.5 billion
faltersainse [42]

Answer:

29 years

Step-by-step explanation:

The population of the Chinese people is 1.3 bn, and they grow at a rate of 0.49% per year. To get the number of years it requires to reach 1.5 bn, we use this method

after x years, the population will be

1.3 * 1.0049^x

so you just need to solve

1.3 * 1.0049^x = 1.5

1.0049^x = 1.5/1.3

x log 1.0049 = log(1.5/1.3)

x = log(1.5/1.3)/log(1.0049)

x = 0.062 / 0.002122

x = 29.25 years

Therefore, at the rate of 0.49%, the Chinese population of 1.3bn needs 29 years to clock 1.5 bn

8 0
2 years ago
Children under 10 years and older people over 65 years receive a discount on movie tickets. Let x represent the age of a person
mr_godi [17]

0<x<10

x>65

0<x<10 or x>65

4 0
2 years ago
John Simone is buying a used car for a total cost of $11,805.00. He’s making a down payment of $1,500.00 and borrowing the remai
VLD [36.1K]
1,500+343(3×12)=13,848
1,500+343(36)=13,848
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4 0
2 years ago
Read 2 more answers
Which of the following statements is always true? a. Workers being paid on commission make less money than if they are salaried.
cricket20 [7]

Answer:

Step-by-step explanation:

The only answer that makes any sense is B. A commission works on the premise that the more you sell, the more money you take home.

Suppose a car salesman working at a GM dealership is working on a salary of 10% of the selling price. (A bit high).

Suppose on one month he sells 10 trucks, each one selling for 40000 dollars.

1 truck brings in 40000*10/100 = 4000 for the salesman.

10 trucks bring in 10*4000 = 40000 dollars.

The next month he only sells 8 Trucks. His commission is

40000 *  10/100 = 4000 per truck

8 trucks * 4000 = 32000 total for that month. A little less but it's quite a bit for a month's work all the same.

6 0
2 years ago
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