Answer:
∠1 is 90° because it is a right angle
To find angle 2, we must add the given angles and x then make the equation equal to 180°, which we next solve for x;
x + 90 + 30 = 180
x + 120 = 180
-120 -120
x = 60, ∠2 = 60°
Angle 5 is vertical to angle 1 which equals 90 degrees, and <u>vertical angles are congruent</u> meaning that they measure the same degrees so therefore ∠5 = 90°
Angles 4 and 40° are <u>vertical</u> to angle 2 which measures 60 degrees;
40 + x(where x equals angle 4) = 60
-40 -40
x = 20, ∠4 = 20°
Specified earlier, angles <u>40° and 4 are equal to 60°</u>, this means that angle three added to angles 40° and 4 will be equal to 90 degrees since angle 1 is 90 degrees and the other three angles will have to equal 90 degrees because they are supplementary.
So we set up the equation;
40 + 20(angle four) + x = 90
60 + x = 90
-60 -60
x = 30, ∠3 = 30°
14/25 , 29/50 , 53/100 , 13/20 and 3/5
<u>Solution:</u>
Put your numbers first in decimal form;
0.56 , 0.58 , 0.53 , 0.65 and 0.60
Then arrange them from the least to greatest;
0.53 , 0.56 , 0.58 , 0.60 and 0.65
Then revert your values to fraction form to give a final answer:
53/100 , 14/25 , 29/50 , 3/5 , 13/20
I hope the answer above is correct because I need this answer too. Was it ?
Help !
54 = 2(4x-3) + 2(x)
54 = 8x-6 + 2x
60 = 10x
6 = x
so two sides are 6 meters, and the other 2 sides are 21 meters