Answer:
4x-7
Step-by-step explanation:
Solve for x:
180 = 44 + 3x - 11 + 4x - 7
Combine like terms: 180 = 26 + 7x
Simplify: 154 = 7x
Simplify: 22 = x
Substitute: 3(22) - 11 = 55 and 4(22) - 7 = 81
Create inequality: 44 < 55 < 81
Area of a triangle = 1/2 × base × height
Plug in what we know.
78 = 1/2 × b × 9¾
Multilply each side by 2 to get rid of the 1/2...
156 = b × 9¾
Write 9¾ as an improper fraction.
(9¾ = 9 + 3/4 = (9×4)/4 + 3/4 = 36/4 + 3/4 = 39/4)
156 = b × 39/4
Multiply each side by 4...
624 = b × 39
Divide each side by 39...
16 = b
Done! The length of the base of the triangle is <u>16</u> inches.
Acute. Step-by-step explanation: Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.
Answer:
The required expression is f = 3+6t
Step-by-step explanation:
Let t represent number of tens
Let f represent number of fives
So, the expression for number of fives can be formed by using:
The number of fives is 3 more than six times the number of tens.
f = 3+6t
So, the required expression is f = 3+6t
Answer:
A
Step-by-step explanation: