Answer:
a = 
b = 12
c = 
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths 
.
A 30-60-90 right triangle has side lengths 
.
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length 
. Therefore, 
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to 
. This means was multiplied by 
. This means that side c is 
.
Check the slope between the moving points
<span>slope between (–6, –1) & (–3, 2) = 1 </span>
<span>slope between (-3, 2) & (–1, 4) = 1 </span>
<span>slope between (-1, 4) & (2, 7) = 1 </span>
<span>the points are collinear and make an angle of 45 degrees with the x-axis </span>
<span>we can have an equation of a line passing through (-6,-1) and slope 1 as </span>
<span>(y + 1) = 1(x + 6) </span>
<span>y = x + 5 is your linear model mostly</span>
Answer:
x=90
y=148
Step-by-step explanation:
Since we know a line is 180 degrees, and we know that angle Q is 90, x must be a 90-degree angle as well.
With our given information we can add up the two given angles in the triangle which are 90 and 58
90+58=148
To find what R is, we must subtract 148 from 180 because all the angles in a triangle sum up to 180.
180-148=32
Now that we know that R is 32, because we know that a line is 180 degrees, we can subtract 32 from 180 to get our final answer for y as 148.
180-32=148
The answer is the third option, it will run out in 8 days.
