Answer:
a) a + c = 90
d) a + b + c + 30 = 180
e) The angles marked a and b are vertical
f) The angles marked a and c are complementary.
Step-by-step explanation:
A complementary angle is and angle that has a sum of 90 degrees. A vertical angle is 2 angles facing each other, that are completely identical. 180 degrees is the sum of a strait line. 90 degrees is a right angle.
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<em>-kiniwih426</em>
Answer:
The equation of the line is;
y = 3x + 18
Step-by-step explanation:
We want to write the equation of the line through (-9,-9) and (-6,0)
we start by calculating the slope of the line
m = (y2-y1)/(x2-x1) = (0+ 9)/(-6+9) = 9/3 = 3
The general equation of the line is;
y = mx + c
y = 3x + c
To get c, we use any of the points
we substitute for example -6 for x and 0 for y
0 = 3(-6) + c
c = 0 + 18 = 18
So the equation of the line is;
y = 3x + 18
Answer:
Step-by-step explanation:
A geometric sequence is based on the following equation:
In which r is the common ratio.
This can be expanded for the nth term in the following way:
In which is the first term.
In this question:
Applying the equation:
So
Answer:
Width of rectangle = 4 meter
Length of rectangle = 18 meter
Step-by-step explanation:
Given:
Perimeter of rectangle = 44 m
Assume;
Width of rectangle = a
Length of rectangle = 2a + 10
Find:
Length and width
Computation:
Perimeter of rectangle = 2[l + b]
2[a + 2a + 10] = 44
3a + 10 = 22
3a = 12
a = 4
So,
Width of rectangle = a = 4 meter
Length of rectangle = 2a + 10 = 18 meter
The compound inequality represents the situation is r > 4 and r ≤ 4.1
<h3>Compound inequality</h3><h3 />
- r must be greater than 4 cm
r > 4
r ≤ 4.1
Therefore, r > 4 and r ≤ 4.1 is the compound inequality which represent the situation.
Learn more about compound inequality:
brainly.com/question/234674
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