0.84 [Decimal] And in simplest form.
Answer:
<em>From left to right: 54 deg, 51 deg, 47 deg</em>
Step-by-step explanation:
From the bottom right triangle:
105 + 28 + x = 180
x + 133 = 180
x = 47
The lower right triangle has angles measuring 28, 105 and 47.
The lower unknown angle of the upper right triangle is vertical to the 47 deg angle, so it also measures 47 deg.
Now we calculate the upper unknown angle of the upper triangle.
82 + 47 + y = 180
y + 129 = 180
y = 51
One angle forms a linear pair with the 105-deg angle. It measures
180 - 105 = 75.
The large left triangle has angles 75 deg, 51 deg, and the unkown angle at the left.
z + 51 + 75 = 180
z + 126 = 180
z = 54
Considering that the points are part of the same linear function, the missing x-value is given by:
a. 1.1.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points, the slope is given by <u>change in y divided by change in x</u>. In this problem, we are given points (6, 10.2) and (1.5, 3.45), hence the slope is:
m = (10.2 - 3.45)/(6 - 1.5) = 1.5.
Hence:
y = 1.5x + b.
When x = 6, y = 10.2, hence we use it to find b as follows:
10.2 = 1.5(6) + b
9 + b = 10.2
b = 1.2.
Hence the function is:
y = 1.5x + 1.2.
The value of x when y = 2.85 is given by:
y = 1.5x + 1.2.
2.85 = 1.5x + 1.2.
1.5x = 1.65.
x = 1.65/1.5
x = 1.1.
Hence option A is correct.
More can be learned about linear functions at brainly.com/question/24808124
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