Describe how you would graph the inequality x is less than or equal to 8
2 answers:
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The question is missing figure and the options. So, the figure is attached alongwith the options
Answer:
Correct options: (1), (2) , (7) and (8)
Step-by-step explanation:
Given:
Lines a and b are parallel.
Consider a║b and 'd' be a transversal then,
Statements Reasons
1. ∠BXZ = ∠AZP = 58° Corresponding angles are equal
∴ m∠2 = 58°
2. ∠BYC = ∠XYZ = ° Vertically opposite angles are equal
Now, consider a║b and 'c' be a transversal then,
Statements Reasons
1. ∠XYZ = ∠QZU = ° Corresponding angles are equal
∴ m∠1 = °
2.∠PZA + ∠PZQ + ∠QZU = 180° Sum of angles on a straight line is 180°.
3. Substitution property
4. Combining like terms
5. Subtraction property of equality
∴
6. Division property of equality
Plug in , we get
= 56°
= 66°
So,
Hence, options (1), (2) , (7) and (8) are correct.
Answer:
c) 120 ft
Step-by-step explanation:
Let's consider the rhombus has 4 sides, A, B, C, and D.
To find the length of each side, let's first find the length AE.
From the diagram, AE is half of AC and AC = 30 ft.
Therefore,
AE = ½ * 30
AE = 15 ft
Let's find the length AD, since we are looking for the distance around the perimeter.
We are told the rhombus is formed by four identical triangles.
Therefore the distance around the perimeter would be: AD+AD+AD+AD=
30 ft + 30 ft + 30 ft + 30 ft
= 120 ft
The distance around the perimeter of the garden is 120 ft
Answer:
y + 8 = x + 10
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 6 = -(x + 7) is in this form with slope m = - 1
given the slope of a line m then the slope of a line perpendicular to it is
= -
= -
= 1
using m = 1 and (a, b) = (- 10, - 8), then
y + 8 = x + 10 ← equation of line k
or y = x + 2 ← in slope- intercept form