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3 years ago

WILL MARK BRAINLIEST ANSWER!!! 6. Find the measure of angle x.

Mathematics

2 answers:

ehidna [41]3 years ago

4 0

Answer:

A: 71°

Explanation:

The interior angles of a triangle must always equal 180°.

We have two of the angles, and if we add them up and subtract it from 180°, we can get the missing angle.

49+60+x=180

Add 49 and 60

109+x=180

Isolate the x, so subtract 109 from 180

x=71°

antoniya [11.8K]3 years ago

3 0

Answer:second account

Step-by-step explanation:

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alpha and beta are the zeros of the polynomial x^2 -(k +6)x +2(2k -1). Find the value of k if alpha + beta = 1/2 alpha beta(ITS

serious [3.7K]

Answer:

$k=\frac{-11}{2}$ .

Step-by-step explanation:

We are given $\alpha$ and $\beta$ are zeros of the polynomial $x^2-(k+6)x+2(2k-1)$ .

We want to find the value of $k$ if $\alpha+\beta=\frac{1}{2}$ .

Lets use veita's formula.

By that formula we have the following equations:

$\alpha+\beta=\frac{-(-(k+6))}{1}$ (-b/a where the quadratic is ax^2+bx+c)

$\alpha \cdot \beta=\frac{2(2k-1)}{1}$ (c/a)

Let's simplify those equations:

$\alpha+\beta=k+6$

$\alpha \cdot \beta=4k-2$

If $\alpha+\beta=k+6$ and $\alpha+\beta=\frac{1}{2}$ , then $k+6=\frac{1}{2}$ .

Let's solve this for k:

Subtract 6 on both sides:

$k=\frac{1}{2}-6$

Find a common denominator:

$k=\frac{1}{2}-\frac{12}{2}$

Simplify:

$k=\frac{-11}{2}$ .

7 0

3 years ago

Let P (n) be the statement that 12 + 22 + · · · + n2 = n(n + 1)(2n + 1)/6 for the positive integer n. a) What is the statement P

andriy [413]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

4 0

3 years ago

Solve for the missing variable. Round to the nearest tenth.

zysi [14]

Answer:

x = 10
y ≈ 8.7

Step-by-step explanation:

Corresponding sides of these triangles are proportional, so you have ...

x/5 = 20/x

x² = 5·20 . . . . . . . cross multiply

x = √100 = 10

and ...

y/15 = 5/y

y² = 15·5 . . . . . . cross multiply

y = √75 ≈ 8.7
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For more on the subject, see ...

brainly.com/question/26276659

4 0

2 years ago

What is an equation for the line through (11,-21) with undefined slope

Andreyy89

Answer:

$x=11$

Step-by-step explanation:

An undefined slope is a vertical line on a graph. This means it isn't equal to a y-value, but rather an x-value instead. All values of y work for this function, just as long as the x-coordinate is 11.

3 0

2 years ago

What is this 4x+1 all over 3 =11

hjlf

$\frac{4x+1}{3} =11\\\\4x+1 = 33\\\\4x=32\\\\x=8$

3 0

2 years ago