Answer:
65 degrees
Step-by-step explanation:
85 + 30 = 115
180 - 115 = 65
Verify:
a + b + c = 180
85 + 30 + 65 = 180
180 = 180
Answer:
m∠ D = 110°.
Justification is below.
Step-by-step explanation:
Consider quadrilateral CDEF as a parallelogram,
Opposite sides of a parallelogram are parallel
∴ DE || CF
If two lines are parallel then the interior angles SUM is 180°
Angle C and Angle D are interior angles.
∴ m ∠C + m∠ D = 180°
Here
m ∠C = 70° {Given}
on substituting the above value we get
∴ 70 + m∠ D = 180°
∴ m∠ D = 180 - 70
∴ m∠ D = 110°
∴ m∠ D = 110° which is the required answer.
Answer:
13 square units
Step-by-step explanation:
We need to find the distance between the points using the
Pythagorean Theorem, a² + b² = c²
(3,6) and (6,5); 6 - 3 = 3 and 6 - 5 = 1
3² + 1² = c²
9 + 1 = c²
c = √10
(6,5) and (5,1); 6 - 5 = 1 and 5 - 1 = 4
1² + 4² = c²
1 + 16 = c²
c = √17
√17 + √10 = 13.038
Answer:
x = 12
Step-by-step explanation:
both (x+5) and (2x-7) are corresponding angles formed by an intersection between a transversal and 2 parallel lines.
hence they are equal in value
x+5 = 2x-7
x - 2x = -7 - 5
-x = -12
x = 12
