Learning Algebra | MathHelp.com - By MathHelp.com
| 00:0-1 | to solve this equation . Our first step would be | |
| 00:03 | to get rid of the fractions by multiplying both sides | |
| 00:07 | of the equation by their common denominator . The common | |
| 00:11 | denominator for three and 4 is 12 . So we | |
| 00:17 | start things off by multiplying both sides of the equation | |
| 00:22 | by 12 uh huh . To get rid of the | |
| 00:25 | fractions on the left , Make sure you distribute the | |
| 00:30 | 12 through both terms inside the parentheses . And when | |
| 00:37 | multiplying 12 times negative 7/3 x . The 12 and | |
| 00:43 | three reduced to four and 1 . So we have | |
| 00:47 | four times negative seven X . Which is negative 28 | |
| 00:53 | X . 12 times positive too Is positive 24 . | |
| 01:02 | And on the right when multiplying 12 times negative 1/4 | |
| 01:06 | the 12 and four reduced to three and one . | |
| 01:09 | So we have negative one times three which is negative | |
| 01:14 | three to solve for X . We subtract 24 from | |
| 01:22 | both sides And we have negative 28 x equals negative | |
| 01:30 | 27 . To get X by itself We divide both | |
| 01:35 | sides by -28 . Yeah . And remember that a | |
| 01:40 | negative divided by a negative is a positive , so | |
| 01:44 | our answer is X equals positive 27 28th . |
DESCRIPTION:
This lesson covers the hypotenuse leg and angle angle side theorems. Students learn the third angle theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. Students also learn the following theorems related to congruent triangles. If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent (Angle-Angle-Side or AAS). If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent (Hypotenuse-Leg or HL). Students are then asked to determine whether given triangles are congruent, and name the postulate or theorem that is used.
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