Which of these relations is a function

A triangle has the following two angle measures:

Vitek1552 [10]

Answer:

62°

Step-by-step explanation:

Given that the triangle has two angle measures of 41° and 77°.

All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:

Let x = the missing measure

$41 + 77 + x = 180$

Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: $118 + x = 180$

Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: $x = 62$

Therefore, the third angle must have a measure of 62°.

5 0

3 years ago

If a reporter for your local newspaper conducts a survey on music preference and only asks people leaving a country music concer

ad-work [718]

It’s biased because he is asking people who left a country concert and usually people who go to concerts go because it’s the type of music that they like, so the chances of someone saying they like a different kind of music probably won’t happen.

8 0

3 years ago

Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.

mash [69]

Answer:

First, these angles are alternate interior angles.

$10x - 5 = 9x + 1$

$x = 6$

Step-by-step explanation:

(10x - 5)° and (9x + 1)° are alternate interior angles. Thus, they are congruent to each other.

Thus, to find x, we will set each angle equal to the other.

$10x - 5 = 9x + 1$

Solve for x. Collect like terms

$10x - 9x = 5 + 1$

$x = 6$

8 0

2 years ago

What is the factorizaion of the polynomial graphed below? assuming it has no constant factor.

Oxana [17]

Answer:

y = 0.96(x -√5)(x + √5).

Step-by-step explanation:

The two zeros of this polynomial are (0, 0) and (5, 0), and the vertex is (2.5, -6), all of this info readily available from the graph.

The standard equation of a vertical parabola with vertex at (h, k) is

y - k = a(x - h)^2, where the vertex is represented by (h, k). Since we know that the vertex is (2.5, -6), the equation for the given graphed parabola is

y + 6 = a(x - 2.5)^2

Since the graph of this parabola goes through the origin, (0, 0), the following must be true if we substitute 0 for both x and y:

0 + 6 = a(0 - 2.5)^2, or 6 = a(6.25). Thus, a = 6/6.25, or a = 0.96.

The equation of this polynomial must then be:

y + 6 = 0.96(x - 2.5)^2, which is satisfied by both (0, 0) and (5, 0).

This equation can be rewritten as

y = 0.96(x^2 - 5x + 6.25) - 6 = 0.96x^2 - 4.8x + 6 - 6, or just

y = 0.96x^2 - 4.8x. We must factor this. Factoring out 0.96, we get:

y = 0.96(x^2 - 5), which can be factored further:

y = 0.96(x -√5)(x + √5). This is the fully factored form of the polynomial.

5 0

3 years ago

Cuanto vale d+2c-(3a-2b) si a=2,b=-3,c=1,d=-2

kherson [118]

<h3>Solution:</h3>

$given \: \: a=2,b=-3,c=1,d=-2 \\ then \: \: d + 2c - (3a - 2b) \\ = ( - 2) + 2(1) - (3 \times 2 - 2 \times -3) \\ = - 2 + 2 - (6 + 6) \\ = 0 - 12 \\ = - 12$

<h3>Answer:</h3>

-12

<h3>Hope it helps..</h3>

ray4918 here to help..

Gracias!!

3 0

3 years ago