Answer:
x = 28
Step-by-step explanation:
angle 1 and angle 2 are complementary (their sum is 90°)
x + 5 + 2x + 1 = 90 add like terms
3x + 6 = 90 subtract 6 from both sides
3x = 84 divide both sides by 3
x = 28
Answer:
An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 14 more than two times the length of the bottom of the triangle. The last side is 10 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
Step-by-step explanation:
An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 14 more than two times the length of the bottom of the triangle. The last side is 10 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 14 more than two times the length of the bottom of the triangle. The last side is 10 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 14 more than two times the length of the bottom of the triangle. The last side is 10 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 14 more than two times the length of the bottom of the triangle. The last side is 10 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 14 more than two times the length of the bottom of the triangle. The last side is 10 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 14 more than two times the length of the bottom of the triangle. The last side is 10 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 14 more than two times the length of the bottom of the triangle. The last side is 10 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
Answer: c
Step-by-step explanation:
Answer:
7x⁴ + 5x³ + 7x² + 6x + 5
Step-by-step explanation:
The given expression is
(5x4 + 5x3 + 4x - 9) + (2x4 + 7x2 + 2x + 14)
The first step is to open the brackets by multiplying each term inside each bracket by the term outside each bracket. Since the term outside each bracket is 1, the expression becomes
5x⁴ + 5x³ + 4x - 9 + 2x⁴ + 7x² + 2x + 14
We would collect like terms by combining each term with the same exponent or raised to the same power. The term would be arranged in decreasing order of the exponents. It becomes
5x⁴ + 2x⁴ + 5x³ + 7x² + 4x + 2x - 9 + 14
7x⁴ + 5x³ + 7x² + 6x + 5
