Answer:
40 inch
Step-by-step explanation:
1 inch=2.54cm
so 40 inch= 101.6 cm
the triangle could only be proven isosceles if it was proven or given that SP = SR or thatangles PQS = RQS otherwise the reasoning is incomplete
Answer:
Value of stamp collection = (45b + 43) cents
Step-by-step explanation:
What we have here is as follows;
if there are x 3-cent stamps, then there are 4x 10-cent stamps
So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps
Number of 2 cents stamps = b
This means that x-1 = b
Thus, x = b + 1
So the value of the stamp collection is as follows;
x 3 cents stamps = 3(b+ 1) = 3b + 3 cents
4x 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40
value of the 2 cents stamp = 2b cents
Total value is thus;
2b + 40b + 40 + 3b + 3 = (45b + 43) cents
The Linear inequality holds true for 21 ≥ x;
What is Linear Inequality?
The mathematical expression with unequal sides is known as inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to a symbol (), less than or equal to a symbol (), or not equal to a symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics. The symbols "" and ">" signify tight inequalities, while "" and "" signify slack inequalities.
In the given question, the given inequality given is:
-3(2x-11) ≥ 8x-9;
Solving the Inequality:
⇒-6x + 33 ≥ 8x - 9;
⇒33 + 9 ≥ 8x - 6x;
⇒ 42 ≥ 2x;
⇒ 21 ≥ x;
Hence,
The Linear inequality holds true for 21 ≥ x;
To learn more about Linear Inequality, visit:
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