Answer:
35 angle
Step-by-step explanation:
sorry i don't have time
Answer:
find b: since the triangle is right angle triangle apply the Pythagorean theorem
c²+b²=d²
b²=d²-c²
b²=16²-12²
b²=256-144
b²=112
<h2>b=√112 = 4√7</h2>
the sum of the angle of the triangle=180
( in top Δ abd ) sin Ф=opp/hyp
sinФ=b/d=4√7/16= √7/4 radian
convert to degrees : √7/4 *180/π= 37.91 almost 38 degrees
<h2>which makes A= 38 degrees ( adjacent angles are equal when they have common side and do not overlap)</h2>
find a=?? apply law of cosine
a²= d^2 + c^2 − 2dc cosA
a²=16² + 12²-2(16)(12)cos38
a =√(16² + 12²-2(16)(12)cos38)
<h2>a=9.87 rounded to the nearest hundredth</h2>
(i hope it is right )
Answer:
2.
Step-by-step explanation:
The gradient or slope of a straight line which is found between two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Where y2 = 7
y1 = 3
x2 = 4
x1 = 2
=> m = (7 - 3) / (4 - 2)
m = 4 / 2 = 2
The gradient is 2.
Answer:
FE = 28 and YZ = 28
Step-by-step explanation:
In similar triangles the ratios of corresponding sides are equal.
(4)
= 
, substitute values
= 
( cross- multiply )
39(5x - 2) = 42(4x + 2) ← distribute parenthesis on both sides
195x - 78 = 168x + 84 ( subtract 168x from both sides )
27x - 78 = 84 ( add 78 to both sides )
27x = 162 ( divide both sides by 27 )
x = 6
Thus
FE = 5x - 2 = 5(6) - 2 = 30 - 2 = 28
(5)
= 
, substitute values
= 
( cross- multiply )
35(3x - 7) = 40(2x + 2) ← distribute parenthesis on both sides
105x - 245 = 80x + 80 ( subtract 80x from both sides )
25x - 245 = 80 ( add 245 to both sides )
25x = 325 ( divide both sides by 25 )
x = 13
Thus
YZ = 2x + 2 = 2(13) + 2 = 26 + 2 = 28
You were going 56 miles per hour
504 divided by 9 hope this helps <span />
