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2 years ago

The measures of a triangle are shown below. sovle for x

Mathematics

1 answer:

Zigmanuir [339]2 years ago

4 0

Answer:

$x=16$

Step-by-step explanation:

In a triangle the sum of all angle measures will always equal 180 degrees.

$A+B+C=180$

From the information given we know that the angle measures are:

$A= 90, B=(5x-3), C=(x+9)$

When you input this into the equation above you get:

$90+(5x-3)+(x+9)=180$

First, subtract 90 from both sides

$(5x-3)+(x+9)=90$

Next let's combine like terms

$6x+6=90$

Subtract 6 from both sides

$6x=84$

divide both sides by 6

$x=16$

<em>plz mark me brainliest. :)</em>

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Which expression is not a polynomial?

Nezavi [6.7K]

Answer:

Step-by-step explanation:

A term in a polynomial is a single number or a number multiplied by any number of variables. A polynomial is a sum of terms.

The only thing that can be done with variables in a polynomial is to multiply them by numbers or other variables. In a polynomial, you cannot: divide by a variable (have a variable in a denominator), have a root of a variable, have a log of a variable, have a variable as an exponent, etc.

All expressions are polynomials except for D. In D., the negative exponents mean division by variables.

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2 years ago

A) If the 5th term of an A.P. is double the 7th term, show that the sum of the 17 terms zero.

gayaneshka [121]

Answer:

see explanation

Step-by-step explanation:

The nth term of an AP is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₅ is double a₇ , then

a₁ + 4d = 2(a₁ + 6d) , that is

a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )

4d = a₁ + 12d ( subtract 12d from both sides )

- 8d = a₁

The sum of n terms of an AP is

$S_{n}$ = $\frac{n}{2}$ [ 2a₁ + (n - 1)d ] , substitute values

$S_{17}$ = $\frac{17}{2}$ ( 2(- 8d) + 16d)

= 8.5(- 16d + 16d)

= 8.5 × 0

= 0

5 0

2 years ago

Consider function f and function g.

ivolga24 [154]

The statement the graphs of both functions have a vertical asymptote of x=0 and statement unlike the graph of function f, the graph of function g decreases as x increases are true.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have two functions:

f(x) = lnx

g(x) = -5 lnx

The domain of the both functions x > 0

The function will be touch the y-axis when x reaches to the infinite.

The graphs of both functions have a vertical asymptote of x=0.

Unlike the graph of function f, the graph of function g decreases as x increases.

The graph of function g is the graph of function f vertically stretched by a factor of 5 and reflected over the x-axis.

Thus, the statement the graphs of both functions have a vertical asymptote of x=0 and statement unlike the graph of function f, the graph of function g decreases as x increases are true.

Learn more about the function here:

brainly.com/question/5245372

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