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Leno4ka [110]
3 years ago
9

Plz Help due in 10 min If triangle ABC has the following angle measurements, what is the value of x?

Mathematics
2 answers:
Nookie1986 [14]3 years ago
5 0

Answer:

Step-by-step explanation:

4x-17+3x+8+x+13=180

8x+4 =180

8x=176

X=22

Zielflug [23.3K]3 years ago
3 0

Answer:

x = 22

Step-by-step explanation:

<A + <B + <C = 180

<A = 4x - 17

<B = 3x + 8

<C = x + 13

4x - 17 +  3x + 8 +  x + 13 = 180           Collect the like terms

8x + 4 = 180                                        Subtract 4 from both sides

8x = 180 - 4

8x = 176                                               Divide by 8

x = 176/8

x = 22

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The ratio of the sides of a triangle is 4:6:9. If the perimeter of the triangle is 95 meters,
Grace [21]

Answer:

45 meters

Step-by-step explanation:

Perimeter of the triangle is the sum of the 3 lengths of the traingle. Since the ratio of the sides is 4:6:9, let the shortest side be 4 units, the longest side be 9 units and the 3rd side be 6 units.

Units is represented as u.

Sum of all 3 sides= 95 m

4u +6u +9u= 95

19u= 95

u= 95 ÷19

u= 5 meters

Longest side= 9 units

Length of the longest side= 9(5) = 45m

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3 years ago
What is the factorization of 729^15+1000?
igomit [66]

Answer:

The factorization of 729x^{15} +1000 is (9x^{5} +10)(81x^{10} -90x^{5} +100)

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form (a^{3} +b^{3} ) or (a^{3} -b^{3}). It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of 729x^{15} +1000 by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation 729x^{15} +1000, and the exponent of the letter x is divided by 3.

\sqrt[3]{729x^{15}} =9x^{5}

1000=10^{3} then \sqrt[3]{10^{3}} =10

So, we got that

729x^{15} +1000=(9x^{5})^{3} + (10)^{3} which has the form of (a^{3} +b^{3} ) which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})

with a= 9x^{5} y b=10

2.) Solving the sum of cubes.

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)

.

8 0
3 years ago
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I think it is the 3rd one but I might be wrong...
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Answer:

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Step-by-step explanation: 15 + 9 + 12 = 36 miles

6 0
3 years ago
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Answer: x=-7

Step-by-step explanation: hope this help :)

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