Answer:
The correct option is B.
Step-by-step explanation:
Given information: AB\parallel DCAB∥DC and BC\parallel ADBC∥AD .
Draw a diagonal AC.
In triangle BCA and DAC,
AC\cong ACAC≅AC (Reflexive Property of Equality)
\angle BAC\cong \angle DCA∠BAC≅∠DCA ( Alternate Interior Angles Theorem)
\angle BCA\cong \angle DAC∠BCA≅∠DAC ( Alternate Interior Angles Theorem)
The ASA (Angle-Side-Angle) postulate states that two triangles are congruent if two corresponding angles and the included side of are congruent.
By ASA postulate,
\triangle BCA\cong \triangle DAC△BCA≅△DAC
Therefore option B is correct
Step-by-step explanation:
2x = y-10
Rewrite as: 2x + 10 = y
Therefore:
2x+10 = y
2x +7 = 2y
Subtract the equations:
2x + 10 = y
- 2x + 7 = 2y
______________
3 = -y
Therefore y = -3
Substiture y = -3 into the second equation:
2x + 7 = 2(-3)
2x + 7 = -6
2x = -13
x= -6.5
Answer : (-6.5, -3)
A line. It goes in both directions forever
Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
A <u>function</u> is increasing when the <u>y-value increases</u> as the <u>x-value increases</u>.
A <u>function</u> is decreasing when the <u>y-value decreases</u> as the <u>x-value increases</u>.
From x = -2 to x = -1 the function is decreasing as the y-value decreases as the x-value increases:
- x-value -2 to -1 → increase
- y-value 2 to 0 → decrease
From x = -1 to x = 0 the function is increasing as the y-value increases as the x-value increase:
- x-value -1 to 0 → increase
- y-value 0 to 2 → increase
From x = 0 to x = 1 the function is increasing as the y-value increases as the x-value increase:
- x-value 0 to 1 → increase
- y-value 2 to 8 → increase
Answer:
if Eric house is in the same quadrant as the library then the coordinates will be (-2,4)
