Inequalities help us to compare two unequal expressions. There exists no solution to the given set of inequalities.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given Inequalities can be solved as,
5 - x > 7
-x > 7 - 5
-x > 2
x < -2
2x + 3 ≥ 13
2x ≥ 10
x ≥ 5
As per the solution of the two inequalities, the value of x should be less than -2 but at the same time, it should be more than or equal to 5, which is impossible. Thus, there is no solution for the given inequalities.
This can be confirmed by graphing the two inequalities, as shown below. Since there is no area in common between the two inequalities, there exists no solution to the given set of inequalities.
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The woman is 6 foot tall
<h3>What is proportion?</h3>
Proportion can be defined as the mathematical comparison of two numbers.
These numbers could be numbers, elements, set or people
From the information given, we have that;
- The globe is 3 feet and casts a shadow of 8ft
- The woman cast a shadow of 16ft and is x feet tall
So,
if the globe is 3 foot tall and casts a shadow of 8ft
Then the woman is x foot tall to cast a shadow of 16ft
cross multiply
8x = 24
Make 'x' the subject
x = 48/ 8
x = 6 foot
Thus, the woman is 6 foot tall
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Answer: The perimeter of a square is defined as the length that its boundary covers. The formula to calculate the perimeter of a square is given as: P = 4 × side.
Step-by-step explanation:
Answer:
These triangles are congruent by SAS
Step-by-step explanation:
They share the same angle which is in the same angle which is the vertical angle with congruent sides on either side of the angle, therefore this is congruent by SAS.
