Answer:
x =19.2
y=29.8
Step-by-step explanation:
We will use the law of sines to solve this problem
sinA sin B
----------- = -------------
a b
sin 55 sin 40
--------- = ---------------
24.5 x
Using cross products
x sin 55 = 24.5 sin 40
Divide by sin 55
x = 24.5 sin 40 / sin 55
x =19.22512011
To one decimal place
x =19.2
To find the angle opposite y, we know the three angles of a triangle add to 180
y = (180-40-55) = 85
sin 55 sin 85
--------- = ---------------
24.5 y
Using cross products
y sin 55 = 24.5 sin 85
Divide by sin 55
y = 24.5 sin 85 / sin 55
y =29.79516474
To one decimal place
y=29.8
Answer:
x = 14
Step-by-step explanation:
This problem requires and understanding about interior sum of angles.
This is an irregular hexagon. so Total angle sum = 180*(6 - 2) = 720 degrees.
...
80 + 56 + 61 + 43 + 92 + 2x = 360
332 + 2x = 360
2x = 360 - 332
2x = 28
x = 14
or... 6*180 - (332 + 2x) = 720
748 - 2x = 720... x= 14
Answer:
Just getting my points back don’t mind me
Step-by-step explanation:
Answer:
10.57 cm²
Step-by-step explanation:
Recall that the area of a triangle is gotten by (1/2)*base*height
If the height of the triangle is 5.45cm and the base is 3.88cm, then the area can be calculated by multiplying the two numbers and dividing it by 2.
5.45*3.88 = 21.146cm²
This still needs to be cut in half (otherwise we are yielding the area of a rectangle with these dimensions)
21.146 cm²/2 = 10.573 cm²
This can be rounded to the nearest hundredth
= 10.57 cm²
Answer:
(C) α + β + γ
Step-by-step explanation:
The sum of interior angles of ΔOCB & ΔOCA = 180° x 2 = 360°
α + β + γ + (360°-x) = 360°
x = α + β + γ
