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3 years ago

A convex hexagon has interior angle measures of 150 degrees, 3x, 2x, 4x + 24, and 3x + 50.

Mathematics

1 answer:

Anna [14]3 years ago

4 0

Answer:

Step-by-step explanation:

The sum of the measures of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

The sum of the measures of the interior angles of a hexagon is

180(6 - 2) = 180(4) = 720

(150) + (3x) + (2x) + (4x + 24) + (3x + 50)

Here's a problem. Only 5 measures are given.

This problem cannot be solved with the given information.

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How do I find the y intercept in a fraction

Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

$\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}$

The formula to calculate the slope is the following:

$m=\frac{y_2-y_1}{x_2-x_1}$

The points are (-6, -9/2) and (4,3), replacing:

$m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}$

The slope is 3/4

Now, for b

x = 4

y = 3

m = 3/4

replacing:

$\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}$

The equation is:

$y=\frac{3}{4}x$

Therefore, the true statements are:

• Both functions have the same slope

• The linear equation does not have a y-intercept

• The table and the grahp express an equivalent function

8 0

1 year ago

About 10% of the population has a particular genetic mutation. 700 people are randomly selected. Find the standard deviation for

Oduvanchick [21]

Answer: 7.94

Step-by-step explanation:

The formula to calculate the standard deviation for binomial distribution :-

$\sigma=\sqrt{np(1-p)}$ , where n is the number total of trials and p is the probability of getting success in each trial.

Given : The probability of the population has a particular genetic mutation=0.1

If 700 people are randomly selected, then the standard deviation for the number of people with the genetic mutation in such groups of 700 will be :-

$\sigma=\sqrt{700\times0.1(1-0.1)}\\\\\Rightarrow\sigma=\sqrt{63}\\\\\Rightarrow\sigma=7.9372539331\approx7.94$

Hence, the standard deviation for the number of people with the genetic mutation in such groups of 700 = 7.94

8 0

3 years ago

A candy maker produces 465 pounds of chocolate bites. It is placed in equal amounts into 145 empty bags. Each bag can hold up to

Debora [2.8K]

Answer:

30 pounds are left over after the bag filled

Step-by-step explanation:

145×3

= 435

now,

465-435

= 30

8 0

3 years ago

Xavier, Yolanda and Sara shared some money. Yolanda received 40% more money than Xavier, and Zara received 60% of Yolanda's shar

leonid [27]

Answer:

Step-by-step explanation:

Xavier, Yolanda and Zara shared some money.

Let x represent Xavier's share

Let y represent Yolanda's share

Let z represent Zara's share.

Yolanda received 40% more money than Xavier. This means that

y = x + 40/100×x = x + 0.4x = 1.4x

Zara received 60% of Yolanda's share. This means that

z = 60/100× 1.4 = 0.6×1.4 = 0.84x

. If Zara received $1,176, then,

0.84x = 1176

x = 1176/0.84 = 1400

y = 1.4 × 1400 = $1960

z = 0.84 × 1400 = $1176

The sum of the money is

1400 + 1960 + 1176 = $4536

6 0

3 years ago

Can someone help me plz

melisa1 [442]

The answer is B,which is 454 to be exact

7 0

3 years ago