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forsale [732]
2 years ago
10

In ΔGHI, m∠G=(10x+9) ∘ , m∠H=(3x+13) ∘ , and m∠I=(x+4) ∘ . What is the value of x ?

Mathematics
2 answers:
9966 [12]2 years ago
8 0

Answer:

x=11∘

Step-by-step explanation:

So to do this, you need to understand that the sum of angles in a triangle is 180∘. If we understand this, we can add up all of the angles in ΔGHI and make the sum 180∘ to get an algebraic equation:

10x+9+3x+13+x+4=180 - Combine like terms

14x+26=180 - subtract 26 on both sides

14x = 154 - divide by 14 on both sides

x=11∘

Please mark brainliest if this helped

12345 [234]2 years ago
5 0

Answer:

(10x + 9) \degree + (3x + 13) \degree + (x + 4) \degree = 180 \degree \\ 10x + 3x + x  +  9 + 13 + 4 = 180 \degree \\ 14x + 26 = 180 \\ 14x = 180 -26 \\ 14x = 154  \\ x =  \frac{154}{14}  \\  \boxed{x = 11}

To test subtitle 11 in x, your angles should add up to 180 degrees

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garri49 [273]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
An acute triangle has two sides measuring 8 cm and 10 cm . What is the best representation of the possible range of values for t
Mekhanik [1.2K]

Answer:

the right answer is 2 < s< 18

Step-by-step explanation:

The Third side of the triangle must be greater than the difference of the other two sides which is 10 -8= 2 and smaller than the sum of the other two sides of the triangle which is 10+8= 18.

so third side should be greater than 2 and less than 18.

So right answer is 2 < s< 18

5 0
3 years ago
The perimeter of a playing field for a certain sport is 334ft. The field is a rectangle, and the length is 47 ft longer than the
babunello [35]

Answer:

The dimensions of the rectangle = 60ft by 107ft

Where 60 ft = Width of the playing field

107ft = Length of the playing field

Step-by-step explanation:

A playing field is Rectangular is shape, hence,

The formula for Perimeter of a rectangle = 2(L + W)

P = 334 ft

L = 47 + W

W = W

Hence we input these values in the formula and we have:

334 = 2(47 + W + W)

334 = 2(47 + 2W)

334 = 94 + 4W

334 - 94 = 4W

240 = 4W

W = 240/4

W = 60

There fore, the width of this playing field = 60 ft

The length of this rectangle is calculated as:

47 + W

47 + 60

= 107 ft

The length of this playing field = 107ft

Therefore the dimensions of the rectangle = 60ft by 107ft

6 0
2 years ago
Greatest common factor of 50,50
zubka84 [21]

Answer:

The greatest common factor of 50

Step-by-step explanation:

Greatest Common Factor (GCF) of two numbers

and the factors of 50 are 1, 2, 5, 10, 25 and 50.

8 0
3 years ago
Could some one plz help me with this question
zhuklara [117]

Answer:

A

Step-by-step explanation:

The formula for this type of interest is A=P(1+\frac{r}{n})^{nt}, where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:

A=1800(1+\frac{0.025}{2})^{2\cdot 12}=

1800(1.0125)^{24}\approx 2425.23

Now, she invests this into a new account, and you can set up the following equation:

A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=

2425.23(1.0033333)^{84}\approx 3207.40, or option A.

Hope this helps!

3 0
3 years ago
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