Answer:
∠ ABC ≈ 137.9°
Step-by-step explanation:
Using the Cosine rule in Δ ABC
cos B = 
with a = 89, b = 144, c = 65
cos B = 
= 
= 
, thus
B = 
( - 
) ≈ 137.9° ( to the nearest tenth )
The value of the missing number to complete the linear equation are 31 and -10 respectively.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here the given tables shows the coordinates of the linear equation and to find the equation we consider any two points let suppose the those two points be (0,-10) and (1,21).
Now using slope formula to find the slope of line m :
m = (y₂-y₁)/ (x₂-x₁)
m = (21-(-10))/(1-0)
m = 31
Let us first find the equation of the line using point-slope equation of line :
(y-y₁) = m(x-x₁)
Substituting all the values in above equation to get the equation of line :
(y-(-10)) = 31(x-0)
(y+10) = 31x
y = 31x - 10
Therefore, the value of the missing number to complete the linear equation are 31 and -10 respectively.
check and know more about slope of line here :
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Y=1/2x+2 since the slope is 1/2 and the y intercept is 2
Answer:
Lets work through it.
1. Distribute values:
2/3x-4=6
2. Move variables to one side
2/3x=10
3.Divide by 2/3 or multiply by 3/2
x=10*1.5
4. Answer=1.5
12 x 12 = 144
20 x 12 = 240
=384
ANSWER: 384
