Answer:
See image
Step-by-step explanation:
To graph the inequality
-2x + y >= -10
Change it to y = mx + b form, use a solid line (bc of the "or equal to" underline)
y >= 2x - 10 We have y-intercept at -10 and slope 2/1, shading goes above the line.
The other graph is an absolute value graph; it has a v-shape. The 7 makes it stretched 7 times taller (and skinnier) the -4 by the x shifts the whole graph to the right 4 units. The -4 at the end of the equation shifts the whole graph down 4 units. See image. The shading goes above the V (kind of looks like inside)
The solution to the system is where the shading of the two overlap. It is mostly the shading for the absolute value graph except for a tiny triangle at the bottom. See image.
Answer:
Step-by-step explanation:
The correct question is shown in the image attached below.
Recall that: the line m is parallel to line n. In addition to that, and , and is bisected by line s.
At this moment, by the angle addition postulate, angle DEF i.e.
∠DEF
∠DEF = 50° + 48°
∠DEF = 98°
Similarly, using the rule of the alternate exterior angle ∠DEF = ∠ABC (∵ alternate exterior angles exhibit congruency).
Furthermore, By the definition of a bisector, angles 4 and 5 are congruent due to the fact that the line of a bisector splits the angle into two equal parts.
m∠4 = m∠5
∴
98/2 = 49°
Finally;
from the diagram, angle 3 and 4 are vertical angles
Thus, m∠3 = 49 by substitution property of equality ( because vertical angles are congruent angles).
Answer:
A secant line contains a chord always
Step-by-step explanation:
A line intersecting in two points is called a secant line, in one point a tangent line and in no points an exterior line. A chord of a circle is the line segment that joins two distinct points of the circle. A chord is therefore contained in a unique secant line and each secant line determines a unique chord.
Idk what that answer is but good luck