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3 years ago

URGENT!!! please help me with these two problems, and solve with statement-reasoning. Thank you!!!

Mathematics

1 answer:

iren [92.7K]3 years ago

8 0

Answer:

See below.

Step-by-step explanation:

By definition the median of the triangle bisects the base of the isosceles triangle.

We need to prove that the 2 triangles formed by the median are congruent.

If the 2 triangles are ABD and ACD where BD is the median and < ABC is the angle from which BD is drawn.

BD = BD ( the common side)

AD = DC ( because BD is the median).

AB = AC ( because ABC is an isosceles triangle).

So Triangles ABD and ACD are congruent by SSS.

Therefore m < ABD = m < CBD, so BD is the bisector of < ABC.

To prove BD is also the altitude:

Triangles ABD and CBD are congruent as we have just proven. Therefore the

of measure of the base angle ABD = m < CBD . Also they are adjacent angles ( on the same line) so they add up to 180.

Therefore angles ABD and CBD are both right angles and BD is the altitude of triangle ABC.

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Solve the system of equations 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9

erma4kov [3.2K]

Answer:

{x,y,z} = {-116,28,37}

Step-by-step explanation:

// Solve equation [3] for the variable z

[3] 5z = -2x - 2y + 9

[3] z = -2x/5 - 2y/5 + 9/5

__________________________________________________________

// Plug this in for variable z in equation [1]

[1] 5x + 9y + 9•(-2x/5-2y/5+9/5) = 5

[1] 7x/5 + 27y/5 = -56/5

[1] 7x + 27y = -56

__________________________________________________________

// Plug this in for variable z in equation [2]

[2] 4x + 9y + 6•(-2x/5-2y/5+9/5) = 10

[2] 8x/5 + 33y/5 = -4/5

[2] 8x + 33y = -4

__________________________________________________________

// Solve equation [2] for the variable y

[2] 33y = -8x - 4

[2] y = -8x/33 - 4/33

__________________________________________________________

// Plug this in for variable y in equation [1]

[1] 7x + 27•(-8x/33-4/33) = -56

[1] 5x/11 = -580/11

[1] 5x = -580

__________________________________________________________

// Solve equation [1] for the variable x

[1] 5x = - 580

[1] x = - 116

__________________________________________________________

// By now we know this much :

x = -116

y = -8x/33-4/33

z = -2x/5-2y/5+9/5

__________________________________________________________

// Use the x value to solve for y

y = -(8/33)(-116)-4/33 = 28

__________________________________________________________

// Use the x and y values to solve for z

z = -(2/5)(-116)-(2/5)(28)+9/5 = 37

╦────────────────────────────╦

│Hope this helped _____________________│

│~Derelis ____________________________ │

╨___________________________________╨

4 0

3 years ago

Solve: 1.2n+1=1-n<br> HELP PLS ASAP WILL GIVE BRAINLIEST IF CORRECT

ELEN [110]

Answer:

Hello!

~~~~~~~~~~~~~~~~~

1.2n+1=1-n

n = 0

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you!

7 0

3 years ago

Determina si el número 2,340 es divisible por 2,3,5,9,y 10. Explica tu respuesta.

Eddi Din [679]

2340 es divisible por estos números. La resonanica wue entran en este número es porque todos son factores de este número.

6 0

3 years ago

Read 2 more answers

Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow. Preimage: (1st one

Westkost [7]

Answer:

The triangle will translate along the arrow and reach the head of the arrow.

Step-by-step explanation:

Translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.

In translation, the rotational motion is not present. Also, the translational motion is a one dimensional motion.

In the given figure, the triangle is present at the tail of the arrow.

The arrow depicts the direction of the translational motion.

So, the triangle will reach the end of the arrow as shown in the picture present in the attachment.

For more explanation, refer the following link:

brainly.com/question/17540330

#SPJ10

8 0

2 years ago

How do you solve 4•(4y/3-2) + 3y = 17

Hunter-Best [27]

Us photo math , it show u even the steps of how was it solve

6 0

3 years ago