Provide missing reasons for the proof of the theorem, “A diagonal of a parallelogram separates it into two congruent triangles.”Given: with diagonal
Prove:
S1. with diagonal
R1.S2.
R2.S3.
R3.S4.
R4.S5.
R5.S6.
R6.S7.
R7.
What will be an ideal response?
R2. The opposite sides of a parallelogram are parallel (definition).
R3. If 2 lines are cut by a trans, the alternate interior angles are congruent.
R4. Same as reason 2
R5. Same as reason 3.
R6. Identity
R7. ASA
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Plot the points representing the following integers on a number line.-8, -6, -4, -2
A.
B.
C.
D.
Find the axis of symmetry of the quadratic function.f(x) = x2 + 10x + 3
A. x = -22 B. x = 5 C. x = -5 D. x = 10
Graph the function, and state its domain and range.f(x) = -
A. Domain: [0, ?); Range: (-?, -1]
B. Domain: [1, ?); Range: (-?, 0]
C. Domain: [0, ?); Range: (-?, 1]
D. Domain: [-1, ?); Range: (-?, 0]
Solve the problem.Suppose f(x) = 34.1 + 1.3log (x + 1) models salinity of ocean water to depths of at a certain latitude. x is the depth in meters and f(x) is in grams of salt per kilogram of seawater. Approximate the depth (to the nearest tenth of a meter) where the salinity equals 36.
A. -0.9 m B. -1.0 m C. 29.9 m D. 27.9 m