Help please! Need to finish this assignment! Have more like this if someone could please help!

Mathematics

2 answers:

Alchen [17]3 years ago

8 0

Answer:

$\bar{AD}\parallel \bar{BC}$

Step-by-step explanation:

If $m\angle 4=m\angle8$ , then $m\angle4$ and $m\angle4$ are alternate interior angles.

This means that line segment AC is a transversal.

This implies that line segment AD is parallel to line segment BC.

The second choice is the correct answer.

Vera_Pavlovna [14]3 years ago

4 0

Answer:

The correct answer is second option.

AD ║ BC

Step-by-step explanation:

Alternate interior angles in a parallel lines are equal.

From the figure we can see quadrilateral ABCD.

It is given that m<8 = m<4

Consider the line segment AD and BC,and AC is a traversal on these lines, m<8 and m<4 are alternate interior angles, which is equal.From this we can conclude that, AD║ BC

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arsen [322]

Step-by-step explanation:

3x+6 = 90

3x = 84

x = 28

angle z = 28+6=36

angle t = 56

4 0

2 years ago

What is the area of the figure below?

Grace [21]

Answer:

option B

Step-by-step explanation:

The figure is combination of parallelogram and semi- circle. So,

area = area of parallelogram + area of semi-circle

$Area \ of \ parallelogram = base \times height = 7 \times 6 = 42 cm^2\\\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.14 \times 3.5^2 = 19.2cm^2\\\\Therefore \ Area = 42 + 19.23 = 61.2cm^2$