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2 years ago

Which angles would the consecutive interior angles theorem state are supplementary?

Mathematics

2 answers:

Rama09 [41]2 years ago

3 0

Angles 3 and 5; angles 4 and 6

Readme [11.4K]2 years ago

3 0

Answer:

<3 and <5<4 and <6

Step-by-step explanation:

Now that we know how to identify consecutive interior angles, let’s talk about the theorem. The consecutive interior angles theorem states that when the two lines are parallel, then the consecutive interior angles are supplementary to each other. Supplementary means that the two angles add up to 180 degrees.

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A sociologist recently conducted a survey of senior citizens who have net worths too high to qualify for Medicaid but have no pr

hjlf

Answer:

a) $s= 9.74$

D. 9.74

b) $Median= 74$

B. 74

Step-by-step explanation:

Part a

We have the following dataset given:

69 74 75 62 70 93 64 69 61 88 67 77 87 90 66 91 77 63 82 82 71 74 76 65 83

We can begin calculating the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = 75.04$

Now we can calculate the sample deviation with the following formula:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}$

And after replace we got:

$s= 9.74$

Part b

For this case we need to sort the value on increasing way:

[1] 61 62 63 64 65 66 67 69 69 70 71 74 74 75 76 77 77 82 82 83 87 88 90 91 93

And the median would be the value in the position 13 and we got:

$Median= 74$

6 0

3 years ago

The graph of an equation with a negative discriminant always has which characteristic?

spin [16.1K]

Answer:

The graph does not intercept the x-axis

Step-by-step explanation:

Hi there!

When the discriminant is positive, it means that in the quadratic equation, you <em>can</em> take the square root of this number and end up with two distinct solutions, one negative and one positive. The graph will intercept the x-axis twice.

When the discriminant is zero, it means that you won't be taking the square root of any number in the quadratic equation and you'll end up with two solutions that are equal, or just one distinct solution. The graph will intercept the x-axis once.

When the discriminant is negative, it means that the quadratic has no real solutions, meaning that it does not intercept the x-axis. It is impossible to take the square root of a negative number.

I hope this helps!

7 0

3 years ago

Solve the inequality 7(x+2)-5>3(x-1)

loris [4]

Answer:

x>-3

Step-by-step explanation:

I used a calculator

3 0

3 years ago

Lines m and n are cut by transversal l. Lines m and n are cut by transversal l. On line m where it intersects line l, 4 angles a

Semmy [17]

∠1 and ∠8 are alternate exterior angles and ∠3 and ∠6 are alternate interior angles

step-by-step explanation:

When the transversal crosses line m and n, alternate angles are the pair of angles formed on the outside of each of the lines and opposite side of the transversal (∠1 and ∠8). However,alternate interior angles will form opposite of the transversal but inside the lines.(∠3 and ∠6 ).

Learn More

brainly.com/question/12441758

Keywords : Transversal, angles

#LearnwithBrainly

5 0

3 years ago

Read 2 more answers

Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph

Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

$y=-\frac{7}{4}x+4$

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

$y_1=mx+b$

And the second one, that is perpedicular to the one above:

$y_2=nx+c$

The slope of the second one is the negative inverse of the first one:

$n=-\frac{1}{m}$

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

$\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}$

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

$y-y_1=m(x-x_1)$

replace with the coordinates of the point and the slope and calculate:

$\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}$

Subtract 7 to both sides of the equation to write it in slope-intercept form:

$\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}$

Now you can graph both lines

8 0

1 year ago