Answer:
x = 135°
Step-by-step explanation:
6 sided polygon = hexagon
The sum of the interior angles of a hexagon = 720°
⇒ 4x + 90 + 90 = 720
⇒ 4x = 720 - 90 - 90
⇒ 4x = 540
⇒ x = 540 ÷ 4
⇒ x = 135°
Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft
Answer:
c) 6x - 5y = 15
Step-by-step explanation:
Slope-intercept form of a linear equation: 
(where m is the slope and b is the y-intercept)
Maria's line: 
Therefore, the slope of Maria's line is 
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope of Nate's line (m) is:
Therefore, the linear equation of Nate's line is:
Rearranging this to standard form:
Therefore, <u>option c</u> could be an equation for Nate's line.
Answer:
side of square is 2-x
Step-by-step explanation:
Area of the square is side * side or side ², so the expression for the side has to be square root of area
A = 4 -4x + x²
It should be recognized that 4 -4x + x²is a special product ( 2-x)² because this is a perfect square trinomial
side of square is 2-x
Answer:
Numeric expressions apply operations to numbers. For example, 2(3 + 8) is a numeric expression. Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.
Step-by-step explanation:
