Answer:
Check the solution in both equations. The solution is ( − 1, 2). Solve the system by graphing: {− x + y = 12 x + y = 10 . Solve the system by graphing: {2x + y = 6 x + y = 1 . In all the systems of linear equations so far, the lines intersected and the solution was one point.
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Answer:
A
Step-by-step explanation:
Perpendicular lines have a relationship between their slopes. Their slope are negative inverses of each other. This means is one is 3 then the negative reciprocal is the other or -1/3. The slope here is 1/9 so the perpendicular slope is -9. Slope is always attached to the x term so A is the solution.
The answer is
2. 2a+12
Show work
2a+7+2a+7+4+4= 4a+22
A+2+a+2+3+3 = 2a+10
(4a+22)-(2a+10) = 2a+12
Answer:
measure of ∠ABD = 42°
Step-by-step explanation:
Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)
In this case the intercepted arcs are: minor arc AC and minor arc AD. Let´s first find minor arc AD, we know that:
minor arc AC + minor arc CD + minor arc AD = 360°
Then,
minor arc AD = 360° - minor arc AC - minor arc CD
minor arc AD = 360° - 72° - 132°
minor arc AD = 156°
Replacing in the aforementioned formula:
Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)
∠ABD = (1/2)*(minor arc AD - minor arc AC)
∠ABD = (1/2)*(156° - 72°)
∠ABD = 42°
When the triangle is a right triangle, you can use the Pythagorean theorem. The formula would be
c^2 = a^2 + b^2
If a = 21 and c=29, thus
b^2 = c^2 - a^2
b^2 = 29^2 - 21^2
b^2 = 400
b = square root (400)
b = 20 units.
Thus, the answer is <span>D) B = 400</span>
