3x-5=-6x+13 : Given
3x=-6x+18 : Addition property of Equality
9x=18: Subtraction property of Equality
x=2: Division Property of Equality
Step-by-step explanation:
We need to give justification to each step
Step 1:
3x-5=-6x+13
This is the question given, which we need to solve and find value of x.
Justification: Given
Step 2:
Adding 5 on both sides of the equation using addition property of equality.
3x-5+5=-6x+13+5
Simplifying
3x=-6x+18
Justification: Addition property of Equality
Step 3:
Adding 6x on both sides of the equation
3x+6x=-6x+18+6x
9x=18
Justification: Subtraction property of Equality
Step 4:
Divide both sides of the equation by 9, to find the value of x using division property of equality
9x/9=18/9
x=2
Justification: Division Property of Equality
Keywords: Solving Equations
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Answer:
x=21
Step-by-step explanation:
since the triangle is isosceles, the two lower angles are equal.
2(2x+3)=90
4x+6=90
4x=84
x=21
Answer:
Below.
Step-by-step explanation:
If the sum of any 2 sides are less than or equal to the third side then there's no triangle
1. N0 because 4 + 5 < 10
2. YES
3. NO because 2 + 3 = 5.
Answer:
825.5 miles of coastline
Step-by-step explanation:
The United States has 12383 miles of coastline.
0.8% of the coastline is in Georgia
Total number of coastline in Georgia will be
0.8% /100% x 12383
0.0667 x 12383
825.5
So there are 825.5 miles of coastline Georgia
Answer:
The area of the shaded region is 0.2898.
Step-by-step explanation:
Let <em>X</em> represent the IQ scores of adults.
It is provided that
.
Compute the probability of an adult having an IQ between 106 and 124 as follows:

*Use a <em>z</em>-table.
Thus, the area of the shaded region is 0.2898.