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4 years ago

Point H Is the circumcenter or a triangle DEF which must be true

Mathematics

2 answers:

Fiesta28 [93]4 years ago

5 0

Out of the 6 answers you have, the correct answers are 1, 3, 4, and 6.

Sedaia [141]4 years ago

3 0

Answer:

The correct options are 1, 3 and 6.

Step-by-step explanation:

Circumcenter of a triangle:

1. It is the intersection point of perpendicular bisector of at least two sides of the triangle.

2. It is the center of the circle that passes through all vertices of the triangle.

It is given that the H Is the circumcenter or a triangle DEF. It means H is the center of the circle that passes through the points D,E,F.

Option 1 is correct.

HD,HE and HF are radius of the circle,

$HE\cong HD$

Option 3 is correct.

$\angle DLH\cong FNH=90^{\circ}$

Option 6 is correct.

Therefore the correct options are 1, 3 and 6.

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Maymona book club is ordering new novels, She knows that the total cost of 6 books is $90, and 10 books cost $150. Write an equa

aleksandr82 [10.1K]

Answer:

Y=15x

Step-by-step explanation:

<h2>Okay so let's approach this problem!</h2><h2 />

X is books and Y is total cost

Let's find the slope!

Y2-Y1/ X2-X1

Just replace

$\frac{150 - 90}{10 - 6}$

$\frac{60}{4} = 15$

The slope is 15

$y = 15x + b$

Now replace x and y with coordinates and solve

$150 = 15(10) + b \\ 150 = 150 + b \\ - 150 \\ 0 = b$

The final equation:

y = 15x

That's it! If you have any questions please ask! Brainliest Appreciated.

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2 years ago

Describe the transformation of g(x)=(-1/2x) as it relates to the graph of f(x)=x

sergiy2304 [10]

Answer:

Step-by-step explanation:

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3 years ago

Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $17 comma 90017,900

Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y-17900=\frac{20300-17900}{4-1}(x-1)$

$y-17900=\frac{2400}{3}(x-1)$

$y-17900=800(x-1)$

$y-17900=800x-800$

Add 17900 on both sides.

$y=800x-800+17900$

$y=800x+17100$

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

$30700=800x+17100$

Subtract 17100 from both sides.

$30700-17100=800x$

$13600=800x$

Divide both sides by 800.

$\frac{13600}{800}=x$

$17=x$

Therefore, in 17th year his income was $30,700.

5 0

4 years ago

Is 5 and four fifths = 5.8

nekit [7.7K]

Yes. That's exactly right. Good work.

6 0

4 years ago

Read 2 more answers

1. Find the sum of the measures of the interior angles of a convex 11-gon.

OleMash [197]

Answer:

The measure of the sum of interior angles of a 11-gon is $1620^{o}$ .

Each interior angle is approximately $147.273^{o}$ .

Step-by-step explanation:

A convex polygon has the measure of each interior angles to be less than $180^{o}$ .

But,

sum of interior angles of polygon = (n - 2) x $180^{o}$

where n is the number of sides of the polygon.

For a convex 11-gon, we have;

sum of angles of a 11-gon = (11 - 2) x $180^{o}$

= 9 x $180^{o}$

= $1620^{o}$

Sum of angles of a 11-gon = $1620^{o}$

To check: convex polygons' interior angles are less than $180^{o}$ .

so that,

each interior angle of 11-gon = $\frac{1620}{11}$

= $147.273^{o}$

3 0

3 years ago