Answer:
x = 4.25
Step-by-step explanation:
The given equation of line is :
4(2x-5)+6=-3(-4x+8)-7
Solving LHS,
4(2x-5)+6 = 8x-20+6
= 8x-14
Solving RHS,
-3(-4x+8)-7 = 12x-24-7
= 12x-31
So,
8x-14 = 12x-31
Taking like terms together,
8x-12x = -31+14
-4x = -17
x = 4.25
So, the value of x is equal to 4.25.
Answer:
D
Step-by-step explanation:
I hope this correct and have a great day
Change the proper fraction to an improper one to do the multiplication.
3/5 x 9/7
Since this is a multiplication problem you can just multiply across.
27/35
27/35 compared to 1 2/7 or 9/7 is less than because 9/7 is greater than 1
Answer:
We conclude that segment QR is the shortest.
Hence, option B is true.
Step-by-step explanation:
First, we need to determine the missing angle m∠R
Given the triangle Δ∠PQR
m∠P = 48°
m∠Q = 83°
m∠R = ?
We know the sum of angles of a triangle is 180°.
m∠P+m∠Q+m∠R = 180°
48°+83°+m∠R=180°
m∠R = 180° - 48° - 83°
m∠R = 49°
Thus, the value of m∠R = 49°
We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Here,
m∠P = 48° is the shortest angle.
As the side QR segment is opposite the smallest angle i.e. m∠P = 48°
Therefore, we conclude that segment QR is the shortest.
Hence, option B is true.
