Answer:
1. In triangle ABC,
AC = a = 10, BC =b= 7 and ∠ C = 90°
By cosine law,
Now, by the law of sine,
2. In triangle ABC,
∠B = 30°, AB=c=10 and ∠C = 90°
∠A = 180°-(30+90)°=60°
⇒ 
By Pythagoras,
⇒ 
Answer: 147 Degrees
Step-by-step explanation
The size of the final unknown interior angle in a polygon is 147 degrees.
Given that,
The other interior angles are 162°, 115°, 120°, 148° and 85°.
We assume that there is an equation (2n - 4) 90.
Here n be 7.
Based on the above information, the calculation is as follows:
= (2n - 4) 90
= ((2) (7) - 4) 90
= 10 (90)
= 900
Now the size of the unknown interior angle is
= 900-(162+125+148+105+98+115)
= 900 - 753
= 147°
Therefore we can conclude that the size of the final unknown interior angle in a polygon is 147 degrees.
Answer:
-3
Step-by-step explanation:
firstly, -3/12 is not in the simpliest form so we have to simplified it:
-3/12 / 3 = -1/4, now we got:
= (-6*(-1/4)*-4*5) / 10
The upper part of the equation: (-6*(-1/4)*-4*5) can be simplified as:
((-6*-1*-4*5) / 4) / 10
= (-120/4)/10
= -30 / 10
= -3
Hope this help you :3
Answer:
90, 90, 90, 135, 135
Step-by-step explanation:
The sum of the measures of all angles is 540 deg.
The measures of the angles are: x - 45, x - 45, x, x, x - 45.
Add the expressions of the measures of the angles and set equal to the sum of the measures, 540 deg. Then solve for x. Then use the value of x to find each angle measure.
x + x + x - 45 + x - 45 + x - 45 = 540
5x - 135 = 540
5x = 675
x = 135
x - 45 = 135 - 45 = 90
Answer: 90, 90, 90, 135, 135
