Answer: Angle B measures 70 degrees
Step-by-step explanation: One angle is given as 40 while the other two angles are yet unknown.
Remember that the sum of the interior angles in a triangle equals 180 degrees. In other words
Angle A + Angle B + Angle C = 180
Therefore
40 + (2x - 30) + (x + 20) = 180
40 + 2x - 30 + x + 20 = 180
By collecting like terms we have
40 - 30 + 20 + 2x + x = 180
30 + 3x = 180
Subtract 30 from both sides of the equation
3x = 150
Divide both sides of the equation by 3
x = 50
Having calculated x = 50 we can now compute the value of angle B as follows;
When x = 50,
2x - 30 becomes
2(50) - 30
= 100 - 30
= 70.
Angle B measures 70 degrees
The triangle is an obtuse triangle. No sides are equal.
convert cm to dm
1 dm = 10 cm
side a: 20 cm ⇒ 20cm * 1dm/10cm = 20dm/10 = 2 dm
side b: 30 cm ⇒ 30cm * 1dm/10cm = 30dm/10 = 3 dm
side c: 40 cm ⇒ 40cm * 1dm/10cm = 40dm/10 = 4 dm
We need to get the area of a triangle, but first we need to solve for its height using Heron's formula
s = (a+b+c)/2 = (2+3+4)/2 = 9/2 = 4.5
<span>Area = </span>√<span>(s(s-a)(s-b)(s-c)
</span>h3/2 = √4.5(4.5-2)(4.5-3)(4.5-4)
h3/2 = √4.5(2.5)(1.5)(0.5)
h3/2 = √8.44
h3/2 = 2.91
h = (2.91*2)/3
h = 1.94
A = hb/2 = (1.94*3)/2 = 5.82/2 = 2.91 dm²
48 dm² / 2.91dm² = 16.5 or 17 tiles needed
17 x Rs200 = Rs3,400 is the total cost
Answer:
B 2:1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Start by taking everything out of the parentheses:
Note two negatives make a positive:
Combine like terms:
Simplify
