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3 years ago

9

How do I find the median for a congruent triangle

1 answer:

Andrej [43]3 years ago

3 0

The length of a median is equal to half the square root of the difference of twice the sum of the squares of the two sides of the triangle that include the vertex the mediam is drawn from and the square of the side of the triangle the median is drawn to.

triangle sides by a, b, c.

ma=122c2+2b2−a2

mb=122c2+2a2−b2

mc=122a2+2b2−c2

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Figures are similar. Find x.

katrin [286]

Answer:

24.3

Step-by-step explanation:

18/20 = x/20 (similar triangles)

8 0

3 years ago

What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?

tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

$y=x^{2}-8x+15$

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

$x^{2}-8x+15=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-8x+15=0$

so

$a=1\\b=-8\\c=15$

substitute in the formula

$x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}$

$x=\frac{8\pm\sqrt{4}} {2}$

$x=\frac{8\pm2} {2}$

$x=\frac{8+2} {2}=5$

$x=\frac{8-2} {2}=3$

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0

3 years ago

Use red and yellow and then a frame. Show both addends 5+7. Draw to make a ten. Then write the new fact. Add.

yarga [219]

It is 12 because you add

4 0

3 years ago

Read 2 more answers

The mathematics department of a college has 6 male professors, 9 female professors, 5 male teaching assistants, and 6 female tea

Hitman42 [59]

Given:

6 male professores

9 female professores

5 male teaching assistants

6 female teaching assistants

Sol:.

$N(A\text{ or B)=N(A)+N(B)-N(A and B)}$

N (professors)

$\begin{gathered} =6+9 \\ =15 \end{gathered}$

N(Male)

$\begin{gathered} =6+5 \\ =11 \end{gathered}$

N(professors and male)

$=6$

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

$\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}$

N(People to choose from)

$\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}$

Then probablitiy is:

$\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}$

Then the probability is 10/13

6 0

1 year ago

Simplify. (-7y^2+4y+9)+(6y^2-5y+9)-(2y^2-9y-2)

Natali5045456 [20]

Combine like terms

-7y² + 6y² - 2y² = -3y²

4y + (-5y) - (-9y) = 4y - 5y + 9y = 8y

9 + 9 - (-2) = 9 + 9 + 2 = 20

-3y² + 8y + 20 is your answer

hope this helps

7 0

3 years ago