Left side:
1-sin²(x) = cos²(x)
1-sin²(x) / cos(x) = cos²(x) / cos(x) = <em>cos(x)</em>
Right side:
sin(2x) = 2 sin(x) cos(x)
sin(2x) / 2 sin(x) = 2 sin(x) cos(x) / 2 sin(x) = <em>cos x </em>
Okay I am going to explain to you and show you how to get the correct answer.
Fist you need to find the Greatest common factor which is 45 because 5×9=45
8/9=40/45
+3/5=27/45
__________
67/45 is reduced to 1 22/45
5 goes into 45 9 times so 3 times 7 equals 27 and 9 goes into 45 5 times so 8 times 5 equals 40 you add both numbers up and get 67. 67 can't go into 45 so you subtract 67 from 45. 45 goes into 67 1 time so that is your whole the number. 22 is left over so that is your numerator. The denominator remains the same.
11. m ∠ BCE = 25 °
m ∠BAD = 39°
12. n = 11. 5°
13. The quadrilaterals are rectangle and parallelogram. Option A and C
14. HK = 8cm
<h3>How to determine the angles</h3>
11. From the figure shown, we have that;
m ∠ EBC = 27°
m ∠ ADE = 52°
To find
m ∠ BCE
Note that m ∠ ADE is alternate and equal to m∠ DEC = 52 and is also on a straight line with ∠BEC
52 + ∠BEC = 180°
∠BEC = 180 - 52° = 128°
Remember that ∠BEC, ∠ BCE and ∠ EBC are angles in a triangle which sum up to 180°
128° + ∠ BCE + 27° = 180°
∠ BCE = 180 ° - 155°
∠ BCE = 25 °
To determine m ∠BAD
65° + 76 + m ∠BAD = 180° , sum of angles in a a triangle
m ∠BAD = 180 - 141
m ∠BAD = 39°
12. Value of n is gotten by equating the two lengths
( 10n + 19) = (12n - 4)
collect like terms
10n - 12n = -4 - 19
- 2n = -23
n = -23/-2
n = 11. 5°
13. The only quadrilaterals with congruent diagonals are;
14. To find line HK
Substract the shortest line, IJ from the longest line GL
HK = GL - IJ
HK = 15 - 7
HK = 8cm
Learn more about geometry here:
brainly.com/question/24375372
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