The true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75
<h3>What are inequality expressions?</h3>
Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
<h3>How to determine the true expression of the variable x?</h3>
The inequality expression is given as
|8x - 2| < 4
Divide through the above equations by 2
So, we have the following inequality expression
|4x - 1| < 2
Remove the absolute value sign from the inequality expression
So, we have
-2 < 4x - 1 < 2
Add 1 to all sides of the above inequality expression
So, we have
-1 < 4x < 3
Divide through the above inequality expression by 4
So, we have
-0.25 < x < 0.75
Hence, the true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75
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The perimeter is the sum of the three sides.
Subtract the length of the hypotenuse for the sum of the 2 sides:
60 - 26 = 34 cm
The Pythagorean theorem is a^2 + b^2 = c^2
Where a and b are the sides and c is the hypotenuse.
So we know a^2 + b^2 = 26^2
26^2 = 676
We also know a^2 +b^2 = 34 cm
Now a^2 +(34-a)^2 = 676
Factor:
a^2 + a^2-68a+1156 = 676
2a^2 -34a +480 = 0
Divide by 2:
a^2 - 17a +240 = 0
Factor:
a(a-10) - 24(a-10) = 0
a =10
b = 34 - 10 = 24
The sides are 10 cm and 24 cm
Hey,here is the answer to ur question..!
1.BD=AE (given)
2. Ci Is the midpoint of BD and AE (given)
3. AC=EC (Cis the midpoint Of AE)
4. BC=DC (midpoint theorem)
5.angle ACB and angle ECD are vertical angles ( definition of vertical angles)
6. angle ACB=angle ECD (vertical angle theorem)
7.triangle ABC Is congruent to triangle EDC ( SSS criterion rule)
Hope this helps u....!!!
Answer:
Chef Rita can feed 20 people with 55 pancakes.
Step-by-step explanation:
We can solve this problem using equivalent ratios. Since we know that Chef Rita can feed 8 people with 22 pancakes, we can set up the ratio:
To solve how many people she would be able to feed with 55 pancakes, we can set ratios equal to each other and solve for 'x' which is the number of people.
We can see what factor we multiply 22 by to get 55 and then we multiply the denominator by the same factor to get our equivalent ratio. 55 ÷ 22 = 2.5. So, 8 x 2.5 = 20 people.
-(-5)+7-18+4 first yo distribute the negative so it would be 5+7-18+4=-2