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kupik [55]
3 years ago
7

Find the area of the polygon

Mathematics
1 answer:
larisa [96]3 years ago
3 0

Answer:

687.5 \:  {ft}^{2}

Step-by-step explanation:

Area of polygon = Area of square + Area of triangle

=  {25}^{2}   + \frac{1}{2}  \times 25 \times (30 - 25) \\  \\  = 625 +\frac{1}{2}  \times 25 \times5 \\  \\  = 625 +  \frac{1}{2}  \times 125  \\  \\  = 625 + 62.5 \\  \\  = 687.5 \:  {ft}^{2}

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A line contains the points (82, −96) and (87, −86) .
mezya [45]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (82, - 96) and (x₂, y₂ ) = (87, - 86)

m = \frac{-86+96}{87-82} = \frac{10}{5} = 2

3 0
2 years ago
What is the measure of the missing angle?​
goblinko [34]

Answer:

<u>The missing angle measures also 110°</u>

Step-by-step explanation:

Let's recall that If the transversal cuts across parallel lines (apparently, this particular case) then those alternate exterior angles have the same measure (.∠ 110° and ∠?) So in the figure given, the two alternate exterior angles measure the same.

<u>The missing angle measures also 110°</u>

4 0
3 years ago
A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a
Sonja [21]

Answer:

Step-by-step explanation:

The total number of ways of selecting 3 gems of any kind without replacement is 35 * 34 * 33 = 39270

Now selecting 2 gems from 25 is 25C2

25 C 2 = 25 * 24/2 = 300

Selecting one good gem is 10

Total selection = 300 * 10 = 3000

P(gems) = 3000 / 39270

P(gems) = 300/3927

P(gems) = 100/1309

6 0
2 years ago
-3r + 7 - 3r - 12 in simplest form
Akimi4 [234]
Since the co-efficient or "r" is "-3" and "-3", it will simplify to "-6" as -3-3= -6.
then the two constant terms with are "7" and "-12" will simplify to "-5" as 7-12=-5. therefore, the simplest form is -6r -5

hope it helped!
8 0
2 years ago
The green arcs show a pair of SAME SIDE INTERIOR ANGLES.
kramer
It would be purple and green
4 0
2 years ago
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