x = 10
since GI bisects ∠DGH then ∠DGI = ∠IGH, hence
2x - 13 = x - 3 ( subtract x from both sides )
x - 13 = - 3 ( add 13 to both sides )
x = 10
Let the number = x
12 + x = 3x - 32
x = 3x - 44 Subtract 12 from both sides
-2x = -44 Subtract 3x from both sides
x = 22 Divide by -2
<h3><em><u>given</u></em></h3>
<em><u>5m</u></em><em><u> </u></em><em><u>long</u></em><em><u> </u></em><em><u>ladder</u></em><em><u> </u></em><em><u>placed</u></em><em><u> </u></em><em><u>against</u></em><em><u> </u></em><em><u>4.3m</u></em><em><u> </u></em><em><u>up</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>wall</u></em><em><u>.</u></em>
<h3><em><u>to</u></em><em><u> </u></em><em><u>find</u></em><em><u>:</u></em></h3>
<em><u>the</u></em><em><u> </u></em><em><u>angle</u></em><em><u> </u></em><em><u>between</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>ladder</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>ground</u></em><em><u>.</u></em>
<h3><em><u>solution</u></em><em><u>:</u></em></h3>
<em><u>Based on the given conditions, formulate: </u></em>
<em><u>sinx=4.3÷5</u></em>
<em><u>Evaluate the equation/expression</u></em><em><u>:</u></em>
<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>1.0352</u></em><em><u>7</u></em><em><u> </u></em><em><u>or</u></em><em><u> </u></em><em><u>2.10</u></em><em><u>6</u></em><em><u>3</u></em><em><u>2</u></em>
<em><u>x= 1.03527</u></em><em><u>°</u></em>
<em><u>or</u></em><em><u> </u></em><em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>2.10632</u></em><em><u>°</u></em>
We have 1.2 × 10^(-4) x 6.25 × 10^(-5 ) = 7,5 x 10^(-9) = 75 x 10^(-10) square kilometers.
Since we have the 2.1 next to the parenthesis, we need to first distribute.
2.1 * x & 2.1 * 5
2.1x + 10.5
Then we take that and add the equals seven to the problem to move onto the next step.
2.1x + 10.5 = 7
We must get the 2.1x alone, therefore subtracting the 10.5 as it will also be subtracted on the other side as well.
2.1x + 10.5 = 7
- 10.5 -10.5
2.1x = -3.5
To get the x alone, we must divide both sides by 2.1, therefore removing the 2.1 from the x.
2.1x = -3.5
/2.1 /2.1
x = 1.66666666667
Hope this helped!
- Kat
