All categories

3 years ago

I need help on this problem about proofs. I've gotten this far but I'm stuck. Please help me , I suck at math.

Mathematics

1 answer:

laiz [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Givens

DTBC is a rhombus

<RTB = <FCB

Find

RD = DF

Solution

<RTB = <FCB Given
TD = DC Property of a Rhombus (all four sides are equal)
<RDT = <FDC Vertically opposite angles are equal
ΔRDT ≅ ΔFDC Δ = triangle. The Δs are congruent by ASA.
RD = DF Parts of congruent triangles are congruent.

You will get problems like the way you were trying to do it. But you should just mark out what you know. I think that you might have forgotten about vertically opposite angles.

You might be interested in

Two angles in a triangle have measures of 13° and 65° what is the measure of the third angle

natulia [17]

Answer:

102

Step-by-step explanation:

All angles added together=180

180-13-65

180-78

102

8 0

3 years ago

Solve the given system of equations using either Gaussian or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTI

cricket20 [7]

Answer:

The system has infinitely many solutions

$\begin{array}{ccc}x_1&=&-x_3\\x_2&=&-x_3\\x_3&=&arbitrary\end{array}$

Step-by-step explanation:

Gauss–Jordan elimination is a method of solving a linear system of equations. This is done by transforming the system's augmented matrix into reduced row-echelon form by means of row operations.

An Augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.

There are three elementary matrix row operations:

Switch any two rows
Multiply a row by a nonzero constant
Add one row to another

To solve the following system

$\begin{array}{ccccc}x_1&-3x_2&-2x_3&=&0\\-x_1&2x_2&x_3&=&0\\2x_1&+3x_2&+5x_3&=&0\end{array}$

Step 1: Transform the augmented matrix to the reduced row echelon form

$\left[ \begin{array}{cccc} 1 & -3 & -2 & 0 \\\\ -1 & 2 & 1 & 0 \\\\ 2 & 3 & 5 & 0 \end{array} \right]$

This matrix can be transformed by a sequence of elementary row operations

Row Operation 1: add 1 times the 1st row to the 2nd row

Row Operation 2: add -2 times the 1st row to the 3rd row

Row Operation 3: multiply the 2nd row by -1

Row Operation 4: add -9 times the 2nd row to the 3rd row

Row Operation 5: add 3 times the 2nd row to the 1st row

to the matrix

$\left[ \begin{array}{cccc} 1 & 0 & 1 & 0 \\\\ 0 & 1 & 1 & 0 \\\\ 0 & 0 & 0 & 0 \end{array} \right]$

The reduced row echelon form of the augmented matrix is

$\left[ \begin{array}{cccc} 1 & 0 & 1 & 0 \\\\ 0 & 1 & 1 & 0 \\\\ 0 & 0 & 0 & 0 \end{array} \right]$

which corresponds to the system

$\begin{array}{ccccc}x_1&&-x_3&=&0\\&x_2&+x_3&=&0\\&&0&=&0\end{array}$

The system has infinitely many solutions.

$\begin{array}{ccc}x_1&=&-x_3\\x_2&=&-x_3\\x_3&=&arbitrary\end{array}$

7 0

3 years ago

Solve for f in the proportion.<br> 28/44 = F/99 F = ?

victus00 [196]

Answer:

F = 63

Step-by-step explanation:

28/44 = F/99

28/44 x 99 = F

F = 63

5 0

3 years ago

How many 1 / 4 pound hamburgers can be made from 9 / 12 pound of meat?<br> More questions to come

Oxana [17]

Answer: Hi

Step-by-step explanation:

8 0

3 years ago

Type the correct answer in each box.

KengaRu [80]

Answer:

Coldest has - 2° C while warmest had 2 °C

5 0

3 years ago