Hi guys. Can u help me with these 5 problems ?

The area of the given polygon is 84 square units.

What is a polygon?

In geometry, a polygon is any closed curve made up of a series of line segments (sides) connected so that no two segments cross. A rectangle is a flat, four-sided shape with right angles at every intersection (90°).

Area of rectangle = length * width

How to solve the problem?

Here, the polygon is made up of two rectangles. One rectangle'swidth and length are 10 units and (12 - 9) = 3 units respectively. Other rectangle'swidth and length are 6 units and 9 units respectively. To find the area of the given polygon, we have to add the values of the areas of these two rectangles.

Area of one rectangle = 10 * 3 = 30 square units

Area of other rectangle = 6 * 9 = 54 square units

Then the area of the polygon = 30 + 54 = 84 square units

Therefore the area of the given polygon is 84 square units. So, option D is correct.

Learn more about areas here -

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Answer:

No; the corresponding angles are not congruent

Step-by-step explanation:

Two figures are similar when they have proportional corresponding sides and congruent corresponding angles.

Trapezoid ABCD has two right angles B and C, obtuse angle A of measure 137° and acute angle D of measure 43°.

Trapezoid EHGF has two right angles G and F, obtuse angle E of measure 136° and acute angle H of measure 44°.

Since obtuse angles and acute angles are not congruent, trapezoids ABCD and EHGF are not similar

Answer:54

Step-by-step explanation: To find the area of a rectangle, we need to multiply its length by its width. In this case, we can use the coordinates of the given points to determine the length and width of the rectangle.  The points given are (-5, 2), (4, 2), (-5, -4), and (4, -4). We can see that the length of the rectangle is the difference between the x-coordinates of two opposite points: 4 - (-5) = 9 units. Similarly, the width is the difference between the y-coordinates of two opposite points: 2 - (-4) = 6 units.  To find the area, we multiply the length by the width: 9 units × 6 units = 54 square units.  Therefore, the area of the rectangle is 54 square units.

Answer:

1 = 35

2 = 55

Step-by-step explanation:

so we know that between 1 and 2 it is 90 degrees we also know that angle 1 and the angel to the left of it make 180 degrees so do

180 - 90 = 90

this means the angle next to line 1 is also 90 degrees

then we would see that the 55 degrees the 90 degrees and angle 1 make 180 degrees so do

55 + 90 = 145

180 - 145 = 35 degrees so angle 1 is 35 degrees

then we would find angle 2

90 - 35 = 55 degrees so angle 2 = 55

hope this helps : )

Answer:

see explanation

Step-by-step explanation:

(6)

55° and ∠2 are vertical angles and congruent, hence

∠2 = 55°

∠1 and ∠2 are complementary angles ( They form a right angle )

∠1 = 90° - 55° = 35°

(7)

132° and ∠2 are alternate angles and congruent, hence

∠2 = 132°

∠1 and ∠2 are supplementary ( straight angle )

∠1 = 180° - 132° = 48°

Answer: 2 text

Step-by-step explanation:

1 text costs a monthly fee + $0.25

monthly fee = $30.00

1 text = $30.00 + $0.25 =$30.25

Using proportion

1text = $30.25

X text = $59.50

Cross multiply

X × $30.25 = $59.50 × 1

Divide bothside by $30.25

X = $59.50 / $30.25

X = 1.966

X = 2 approximately

Therefore number of texts = 2