Answer:
m = 16
Step-by-step explanation:
Given expression 2m−13 and m+3.
We have to find value of m for which both the expression are equal.
To find that value we will equate both the expression and solve as given below
2m−13 = m+3
adding 13 on both LHS and RHS
2m−13 + 13 = m+3 + 13
=> 2m = m +16
subtracting m from LHS and RHS
2m - m = m +16 - m
=> m = 16
Thus, value of m will be 16.
to validate this lets put value of m as 16 in both the equation
2m - 13 = 2*16 - 13 = 32-13 = 19
m+3 = 16+3 = 19.
Thus, we see for m = 16 , both expression has equal value which is equal to 19.
Let's solve for b.
2b−7x=3(b−3)
Step 1: Add -3b to both sides.
2b−7x+−3b=3b−9+−3b
−b−7x=−9
Step 2: Add 7x to both sides.
−b−7x+7x=−9+7x
−b=7x−9
Step 3: Divide both sides by -1.
−b
−1
=
7x−9
−1
b=−7x+9
Answer:
b=−7x+9
AA , BB , and CC are parallel to MN.
Answer:
Step-by-step explanation:
Answer: 38°
Using cosine rule,
a² = b² + c² -2bc cos(A)
Insert values from diagram
14² = 18² + 22.8² - 2(18)(22.8) cos(A)
196 = 324 + 519.84 - 820.8 cos(A)
-820.8 cos(A) = 196 - 324 - 519.84
-820.8 cos(A) = -647.84
cos(A) = -647.84/-820.8
A = cos^{-1} (-647.84/-820.8)
A = 37.88°
A ≈ 38°
