Select the correct answer. The vertices of a triangle are A(7, 5), B(4, 2), and C(9, 2). What is m<ABC​

Answers

Answer 1

Answer: [tex]45^{\circ}[/tex]

Step-by-step explanation:

[tex]\angle ABC[/tex] is formed by [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex], so we can begin by finding their slopes.

[tex]m_{\overline{AB}}=\frac{2-5}{4-7}=-1\\m_{\overline{BC}}=\frac{2-2}{9-4}=0[/tex]

This means that:

[tex]\tan \left(\angle ABC \right)=\left| \frac{-1-0}{1-(0)(-1)} \right|\\\tan \left(\angle ABC \right)=1[/tex]

As [tex]\angle ABC[/tex] is acute, this means [tex]m\angle ABC=\boxed{45^{\circ}}[/tex]

Select The Correct Answer. The Vertices Of A Triangle Are A(7, 5), B(4, 2), And C(9, 2). What Is M&lt;ABC
Select The Correct Answer. The Vertices Of A Triangle Are A(7, 5), B(4, 2), And C(9, 2). What Is M&lt;ABC

Related Questions

C= 5/9(F-32)
urgent!!! will give 50 points

Answers

Answer:

25°

Step-by-step explanation:

hope it helps you solve the question

PLEASE HELP 50 POINTS
The total leaf mass of a certain species of young plant saplings is approximately normally distributed with a mean of 14.2 grams and a standard deviation of 0.5 grams.
a. What is the probability of obtaining a randomly chosen plant sapling with a total leaf mass of more
than 15 grams?
b. Identify the leaf mass that would represent the 99th percentile.

Answers

Answer:

THE ANSWER IS A

Step-by-step explanation:

CORRECT IF I WRONG

Calculate 6 2/3 x 5


Fractions btw

Answers

Answer:

33 1/3

Step-by-step explanation:

divide 2/3 which is 0.66... then multiply that by 5 which is 3.33...

then multiply 6 times 5 which is 30, then add 30 and 3.33... which is 33.33...

in fraction form that is 33 1/3

I'd appreciate the help!

Answers

Answer:

Step-by-step explanation:

I will give you brainlest if you are the first one to answer(and the best)

Answers

Answer:

4 kg

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Add to find total mass:

2.5 + 3.5 + 3.5 + 5 + 5.5 = 20

Since there is a total of 5 bags and want to evenly distribute divided by 5,

20 / 5 = 4

sin0= 5/13. find tan 0

Answers

Answer:

C. 5/12

Step-by-step explanation:

Finding the missing side :

Opposite side² + Adjacent side² = Hypotenuse²(5)² + Adjacent side² = (13)²Adjacent side² = 169 - 25Adjacent side² = 144Adjacent side = √144Adjacent side = 12

Taking the tan ratio :

tanθ = opposite side / adjacent sidetanθ = 5/12

please answer all 3 questions
⦁ Calculate the residuals for your scatterplot in step 2d.






⦁ Create a residual plot for your data.












⦁ Does your residual plot show that the linear model from the regression calculator is a good model? Explain your reasoning.

Answers

The residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326,  0.049, -0.286,  -0.161, 0.214, 0.429 and 0.059

How to determine the residuals?

The regression equation is given as:

y = 0.005x + 3.111

Next, we calculate the predicted values (y) at the corresponding x values.

So, we have:

y = 0.005 * 4 + 3.111 = 3.131

y = 0.005 * 3 + 3.111 = 3.126

y = 0.005 * 5 + 3.111 = 3.136

y = 0.005 * 3 + 3.111 = 3.126

y = 0.005 * 8 + 3.111 = 3.151

y = 0.005 * 15 + 3.111 = 3.186

y = 0.005 * 10 + 3.111 = 3.161

y = 0.005 * 15 + 3.111 = 3.186

y = 0.005 * 6 + 3.111 = 3.141

y = 0.005 * 6 + 3.111 = 3.141

The residuals are then calculated using:

Residual = Actual value - Predicted value

So, we have:

y = 3.46 - 3.131 = 0.329

y = 2.78 - 3.126 = -0.346

y = 3.2 - 3.136 = 0.064

y = 2.8 - 3.126 = -0.326

y = 3.2 - 3.151 = 0.049

y = 2.9 - 3.186 = -0.286

y = 3 - 3.161 = --0.161

y = 3.4 - 3.186 = 0.214

y = 3.57 - 3.141 = 0.429

y = 3.2 - 3.141 = 0.059

Hence, the residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326,  0.049, -0.286,  -0.161, 0.214, 0.429 and 0.059

See attachment for the residual plot.

The residual plot shows that the linear model from the regression calculator is a good model because the points are not on a straight line

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area of rectangle 5 7/8km x 18/4km

Answers

Answer:

if ur in college then how do u not know this

Step-by-step explanation:

use ur brain

please help!

Thank you.

Answers

Answer:

Option A ----> -5

Step-by-step explanation:

Slope of a graph is given by the equation :

[tex]\frac{dy}{dx}[/tex] where d means change in .

Lets take the y-intercept (0,2) and (-1,7)

Change in y = 5

Change in x = -1

5/-1 = -5

Our answer will therefore Option A ---> -5

Hope this helped and brainliest please

Which number is equivalent to 16 1/2

Answers

Answer:

8

Step-by-step explanation:

find the measure of the angle

Answers

The measure of the angle is 165 degrees.

A triangular prism has a height of 10 cm and a base area of 12 cm2. A rectangular prism has a height of 10 cm and base dimensions of 3 cm and 4 cm. Do the solids have the same volume?

Answers

The solids have the same volume.

What is Volume?

Volume is the measure of the capacity that an object holds.

Volume of triangular prism be

= Base area * height

= 12*10

=120 cm³

Volume of rectangular prism be,

=10*3*4

=120 cm³      

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What is the midpoint between (8,-5) and (2,-2)?
O (3,-1.5)
O (10,-7)
O (5, -1.5)
O (5,-3.5)

Answers

Answer:

O (5,-3.5)

Step-by-step explanation:

What is the return on equity for a firm with 15% return on assets, 10% return on debt, and a .75 debt/equity ratio?

Answers

The return on equity for  the firm is 18.75%.

Return on equity

Return on equity=Return on assets +[ (Debt/Equity ratio)×(Return on assets-Return on debt)]

Let plug in the formula

Return on equity=.15+ [(.75)× (.15-.10)]

Return on assets=.15+ (.75×0.05)

Return on assets=.15+0.0375

Return on equity=0.1875×100

Return on equity=18.75%

Therefore the return on equity ratio is 18.75%.

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what does 7,124 ÷ 26 equal to?

Answers

274

hope that helps

:D

btw i used long division

Find the surface area of the prism.
mi
8 mi
8/12 mi
The surface area is
square miles.
112

Answers

Answer: 433.5 square miles or 433 1/2 square miles

Step-by-step explanation

[tex]SA = 6x^{2}[/tex]

[tex]SA = 6 *(8.5)^{2} \\\\SA = 6*72.25\\\\SA = 433.5[/tex]

A rectangular swimming pool is 15 meters long, 14 1/2 meters wide, and 3 1/2 meters deep. What is its volume? in cubic meters

Answers

Answer:

761.25 m³

Step-by-step explanation:

l = 15 , w = 14.5 , h = 3.5

Volume of a rectangular prism is given by the formula :

V = lwh

V = 15 × 14.5 × 3.5

V = 761.25

Units will be m³

I am attaching an image for visual understanding

Hope this helped and brainliest please.

help me to give answer....

Answers

6. There are 24 hours in a day and he spends 0.6 (60%) percent of it studying. You do 24x0.6= 14.4 this means that he spent 14.4 hours studying.

8. A dozen is 12 so you do 8.75x12= 105 for a dozen oranges.

9. 15.5x1.6= 24.8km

10. 1 year is divided into 4 quarters, each quarter is three months because 12 months divided by 4 is 3. That means she paid 18,800 in march since it’s the third month of the year, in another three months she would pay 18,800 again. Every 1 month she pays 6,266 because 18,800 divided by 3 is 6,266. Every 12 months (or year) she pays 75,200 because 18,800x4= 75,200.

11. Every month he makes 8,000 and he saves 0.4 (40%) percent of it each month. 8,000x0.4=3,200 this means he saves 3,200 every month. Multiply 3,200 by 6 months and he saves 19,200 in 6 months.

(Didn’t do 7 and 12 sorry but hope this helped you understand better!)



The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8.
Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget
of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?

Answers

Answer:

16 new releases and 22 classic movies.

Please help I cannot find this question

Answers

Answer: B

Explanation:
f(x) = f(a+2)
So simply sub a+2 in for x in the equation.
f(a+2)=3(a+2) + 5/a+2

Which of the following has the correct factored form AND the correct solutions for the quadratic equation? X^2-2x-3=0

Answers

The factored form of the quadratic equation  x² - 2x - 3 = 0 is (x - 3)(x + 1)

How to factor quadratic equation?

The quadratic equation can be factored as follows;

x² - 2x - 3 = 0

Therefore, let's find the numbers we can multiply to get -3 and add to get -2.

x² + x - 3x - 3

x(x + 1) - 3(x + 1)

Therefore,

(x - 3)(x + 1)

Therefore, the factored form of x² - 2x - 3 = 0 is (x - 3)(x + 1)

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I’m really confused please help me

Answers

Answer:  54

========================================================

Explanation:

Focus on the bottom most triangle. The upper angle of this triangle is 360/5 = 72 degrees. This is because the regular pentagon is split into five congruent (aka identical) triangles.

Each of the triangles are isosceles. Let x be the measure of the base angles.

Use the rule that adding the three angles of a triangle gets us 180

angle1+angle2+angle3 = 180

x+x+72 = 180

2x+72 = 180

2x = 180-72

2x = 108

x = 108/2

x = 54 is the answer

----------------------

Another way to get the answer:

i = interior angle of a regular polygon with n sides

i = 180(n-2)/n

i = 180(5-2)/5

i = 180(3)/5

i = 540/5

i = 108

Each interior angle of a regular pentagon is 108 degrees.

Angle x marked in blue is half that, so it is 108/2 = 54 degrees

----------------------

A third method:

E = exterior angle of a regular polygon with n sides

E = 360/n

E = 360/5

E = 72 degrees is the measure of each exterior angle

i = 180 - E

i = 180-72

i = 108 is the measure of each interior angle.

To wrap things up, we follow the same exact steps at the end of the 2nd section to get 108/2 = 54 as our answer.

Find the equation of the graphed line.
On a coordinate plane, a line goes through (negative 4, 0) and (0, negative 2).
a.
y = negative one-half x minus 2
c.
y = 4 x minus 2
b.
y = negative 2 x minus 4
d.
y = negative 4 x minus 2



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

  a.  y = -1/2x - 2

Step-by-step explanation:

The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.

__

slope

The x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...

  m = rise/run = -2/4 = -1/2

In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.

__

equation

The slope-intercept equation is ...

  y = mx +b . . . . . . . slope m, y-intercept b

We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...

  y = -1/2x -2 . . . . . matches choice A

_____

Additional comment

When answering multiple-choice questions, you only need to do enough work to tell which answers are not viable.

When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.

Cordell Johnson purchased a snow blower for $237.00 and two bags of rock salt for
$3.15 each. What is the total purchase price if he lives in Maine where the sales tax
rate is 5%?
a. Total cost of all items?
b. Sales tax?
c. Total price with sales tax?

Answers

Answer:

a.240.15

Step-by-step explanation:

a.240.15

b.12.0075

c.252.1575

Can someone help me with this math problem?
see attached photo

Answers

By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.

How to determine the value of trigonometric reasons

In this question we must take into accounts the definitions of the trigonometric reasons sine and secant and the Pythagorean theorem as well.

If sec θ < 0 and csc θ > 0, then sin θ > 0 and cos θ < 0, the angle is in the second quadrant (0.5π < θ < π, x < 0, y > 0) and we have the following expression:

sec θ = r/x

[tex]\frac{r}{x}= -\frac{6\sqrt{11}}{11}[/tex]

Then x = - 11, r = 6√11 and the value of y is:

[tex]y = \sqrt{r^{2}-x^{2}}[/tex]

y = 5√11

By trigonometric expressions we have this formula for sin 2θ:

sin 2θ = 2 · sin θ · cos θ

sin 2θ = 2 · (y/r) · (x/r) = (2 · x · y)/r²

sin 2θ = [2 · (- 11) · (5√11)]/396

sin 2θ = - (5/18) · √11

By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.

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Find the absolute mean deviation of this data set:
8, 8, 4, 12

Answers

Answer:

2 is the absolute mean deviation

Step-by-step explanation:

absolute mean deviation is

the average of the differences of the data from the average

8, 8, 4, 12

1. take the average

8+8+4+12=32 -> 32/4 = 8

2. subtract each number from this average

8 - 8 = 0

8 - 8 = 0

4 - 8 = 4 (there are no negative answers)

12 - 8 = 4

3. take the average of these subtractions

0+0+4+4=8 -> 8/4 = 2

4. answer: 2 is the absolute mean deviation

Yesterday I ran less than 5 kilometers but more than 1200 meters. How far could I have run?

Answers

You could have ran 418.41 km.

A restaurant chef wants to install a new floor in her kitchen. The kitchen measures 8 meters wide and 11 meters long, and the flooring costs $8.71 per square meter. How much will the chef's new floor cost?

Answers

Answer:

$766.48

Step-by-step explanation:

area = length × width

area = 11 m × 8 m = 88 m²

cost = 88 m² × $8.71/m²

cost = $766.48

Please pick one of the options.

Answers

9880 different possibilities are there in Sally's new combination option second 9880 is correct.

What is permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Total unique numbers consists in a Sally locker = 3

From the digits 0 to 39

Total numbers = 40

Apply combination formula:

= C(40, 3)

= 40!/(3!37!)

= 9880

Thus, 9880 different possibilities are there in Sally's new combination option second 9880 is correct.

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Which of the following is an arithmetic sequence with common difference –5?

Answers

The arithmetic sequence that has a common difference of -5 from the options given is: A. 8, 3, -2, -7...

What is the Common Difference of an Arithmetic Sequence?

The common difference of an arithmetic sequence is determined as: a term - previous term.

For the sequence, 8, 3, -2, -7,.. the common difference is:

-7 - 2 = -2 - 3 = 3 - 8 = -5.

Therefore, the arithmetic sequence with a common difference of -5 is: A. 8, 3, -2, -7...

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