An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.

You need to find the value of c so solve the first equation in terms of x:

5c + x = 4
x = 4 - 5c

then substitute the result (4 - 5c) into the second equation:

-9c - 8(4 - 5c) = -3
-9c + (-8 x 4) + (-8 x -5c) = -3
-9c - 32 + 40c = -3
-9c + 40c = -3 + 32
31c = 29
c = \( \frac{29}{31} \)
c = \(\frac{29}{31}\)

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -4. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -6) and (2, -2) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = x - 4

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².