All categories

3 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics

1 answer:

elena55 [62]3 years ago

3 0

Answer:

x=5

Step-by-step explanation:

Angles in a triangle adds up to 180 degrees

so 105 + (6x+20) + (7x-10) = 180

simplify

115+13x=180

subtract 115 to each side

13x=65

divide by 13

x=5

check work

105 + (6(5) + 20) + (7(5) -10)

105 + (30 +20) +(35 - 10)

105 + 50 + 25 = 180

You might be interested in

12345 what is the answer if you multiply 1x2x3x4x5 and do the same with subtraction, addition and devision, in that order. Then

Alexandra [31]

Well, we just need to perform the operations:

Multiplication: $1\cdot 2 \cdot 3 \cdot 4 \cdot 5 = 120$
Subtraction: $1-2-3-4-5 = -13$
Addition: $1+2+3+4+5 = 15$
Division: $1 \div 2 \div 3 \div 4 \div 5 = \frac{1}{120}$

So, if you add all the numbers together you get

$120-13+15+\dfrac{1}{120} = 122 + \dfrac{1}{120}$

Or, if you prefer,

$\dfrac{1681}{120}$

8 0

3 years ago

Is the square root of 65 rational or irrational?

wlad13 [49]

Step-by-step explanation:

$\sqrt{65}$

As it can't be expressed in the form p/q, where q is not equal to 0,

Hence,

square root 65 is an irrational 

3 0

3 years ago

1/2 of 3oz, 3/4 of 3oz and 1/3 of 2oz, how many ounces of food was consumed

Alex Ar [27]

4.42 ounces of food was consumed. 1/2 of 3 oz equals 1.5 oz, 3/4 of 3 oz equals 2.25 oz and 1/3 of 2 oz equals .67 and when you add those up you get 4.42.

3 0

3 years ago

Factor the expression completely. 6×3- 4×2 – 16x A. 0 B. 2x(3×2 – 2x – 8) C. 2x(3x + 4)(x – 2) D. 4x(2x + 1)(x – 4) E. 2x(2×2 +

Ghella [55]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

6x³ - 4x² - 16x

To factorize the expression first factor out the GCF out

The GCF in the expression is 2x

That's

2x( 3x² - 2x - 8)

Next Factorize the terms in the bracket

To factorize write - 2x as a difference

that's

2x( 3x² + 4x - 6x - 8)

Factor out x from the expression

2x [ x( 3x + 4) - 6x - 8 ]

Next factor out - 2 from the expression

2x [ x ( 3x + 4) - 2( 3x + 4) ]

Factor out 3x + 4 from the expression

We have the final answer as

Hope this helps you

4 0

3 years ago

Describe the end behavior of the given function f(x)=9x^3-x^2-8x+6

Mekhanik [1.2K]

As x approaches -inf f(x) -> -inf
and as x approaches inf, f(x) approaches +inf

Mark brainliest please

6 0

3 years ago