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Helga [31]
3 years ago
5

If GHJ is an equilateral triangle, Gh=5x-13, HJ=11x-61, and GJ=7x-29, find x and the measure of each angle.

Mathematics
1 answer:
Natalka [10]3 years ago
3 0

Answer:

x = 8

Step-by-step explanation:

Since the triangle is equilateral, then the 3 sides are congruent.

Equate any 2 sides and solve for x, that is

7x - 29 = 5x - 13 ( subtract 5x from both sides )

2x - 29 = - 13 ( add 29 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8

The triangle is equilateral, thus the 3 angles are congruent, thus

The measure of each angle is 60°

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1,030 at 4% compounded semiannually for 2 years
kotegsom [21]

Answer: $1114.91

Step-by-step explanation:

The formula for compound interest is

A= P(1+\frac{r}{n})^{nt}  \\

Where

A = final amount

P = initial principal balance (1030 for this)

r = interest rate (0.04 for this)

n = number of times interest applied per time period (2 for this)

t = number of time periods elapsed (2 for this)

A= 1030(1+\frac{.04}{2})^{(2)(2)}  \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125

This rounds up to $1114.91

6 0
2 years ago
Replace ? with =, >, or < to make the statement true.
alekssr [168]
The answer is 12 ÷ 4 + 13 > 2 + 22 ÷ 2
8 0
3 years ago
Find the Area. Simplify your answer.​
Vaselesa [24]

Answer:

Area = 9x^2 square units

Step-by-step explanation:

<u>Key skills needed: Area of a parallelogram</u>

1) This shape is a parallelogram, and the way to find the area of a parallelogram is:

                                A = bh

A = area

b = base (the side at the bottom

h = the height ( the length that runs from one side to another and makes a right angle)

2) The base (b) would be 3x. The height (h) would also be 3x

3) This means A = 3x(3x)

3 times 3 is 9 --> and x times x is x^2

Therefore the area is --> 9x^2

<em>Hope you understood and have a nice day!! :D</em>

5 0
3 years ago
Can anyone please help and write the equation ily
Kobotan [32]

Answer:

m - 3000

b - 2000

please correct me if i am wrong.

Step-by-step explanation:

6 0
3 years ago
Which expression is the factored form of −1.5w+7.5 ?
prohojiy [21]

Answer:

c.

Step-by-step explanation:

the most that can be factored out is -1.5,

-1.5 * w = -1.5w

-1.5 * -5 = 7.5

-1.5w + 7.5, so it's

-1.5(w-5)

8 0
3 years ago
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