Answer:
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75°
Step-by-step explanation:
<u>Given : </u>
The second angle measures twice the first, and the third angle measures 5 more than the second.
Sum of angles = 180°
<u>Solution : </u>
Let the first angle be x
According to the given question :
Second angles = 2x
Third angle = 2x + 5
we know that Sum of angles = 180°
<u>Solving x value :</u>
x + 2x + (2x+5) = 180°
5x + 5 = 180
5x = 180 - 5
5x = 175
x = 175/5
x = 35
<u>Finding the measure of each angle : </u>
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75
Answer:
180
Step-by-step explanation:
From the table :
Slope :
m = (y2 - y1) / (x2 - x1)
m = (100 - 80) / (5 - 4)
m = 20 / 1
m = 20
y = 20x
Hence, when, x = 12
y = 20 * 12
y = 240
From the graph:
Slope :
m = (y2 - y1) / (x2 - x1)
m = (280 - 70) / (8 - 2)
m = 210 / 6
m = 35
y = 35x
When x = 12
Graph :
y = 35 * 12
y = 420
Difference :
420 - 240
= 180
Answer:
The length of the ramp is 7.3 meters.
Step-by-step explanation:
The length of a triangle's side must be less than the sum of its two other sides. It also cannot have the same value as its other combined sides.
7 + 2 > 7.3
2 + 7.3 > 7
7 + 7.3 > 2
<em>r</em> is also longer than 7 meters, so that leaves option b. as your answer.
(3a-4b)²
= 9a² - 12ab + 16b²
Symmetrical functions can be about the x and y axis. Essentially, if we reflect the graph across the y or x axis, we get the same graph. Some other graphs can be reflected across both the x and y axis at the same time and be symmetrical. These can be classified as odd and even functions. You can test this by replacing x and y with -x and -y and simplify the equation. If the results comes out to be the same as the original, it is symmetrical across the origin.
Best of Luck!
