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julia-pushkina [17]
3 years ago
8

What is the area of the polygon?

Mathematics
2 answers:
KatRina [158]3 years ago
8 0
The area would be 140
Elza [17]3 years ago
5 0
The area would be 140
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3x+4[2x-3(x+1)-20x]=25x+100
sashaice [31]
Simplify:
3x + 4[2x -3x -3 -20x] = 25x +100
3x + 4(-21x -3) = 25x + 100
3x - 84x -12 = 25x + 100
-81x -12 = 25x + 100
Add 12 and Subtract 25x from each side
-106x = 112
X = -112/106
X = -56/53
^^^^^^^^^^
Final Answer^^
6 0
3 years ago
Which criterion can be used to prove ABC and ADC are congruent?
olya-2409 [2.1K]
Triangles have common side AC, and 2 adjacent to this side corresponding angles.
∠BAC=∠DCA, and
∠ACB=∠SAD.
So, triangles <span>ABC and ADC are congruent by ASA.</span>
8 0
3 years ago
The measure of the supplement of an angle is seven times as large as the measure of its complement find the measure of the angle
8090 [49]

Answer: original angle = 75°

Its supplement 105°

Its complement = 15°

Step-by-step explanation:

We know that,

  • Sum of supplementary angles is 180 degrees.
  • Sum of complementary angles is 90 degrees.

Let x be the original angle , then its supplement = 180° - x

its complement = 90° - x

As per given,

180° - x = 7(90° - x)

⇒ 180° - x = 630° - 7x

⇒  7x- x = 630° -180°

⇒  6 x = 450°

⇒  x = 75°  [divide both sides by 6]

So, original angle = 75°

Its supplement =  180° - 75° = 105°

Its complement = 90° -75° = 15°

Hence,  original angle = 75°

Its supplement 105°

Its complement = 15°

4 0
3 years ago
Help me please. I don't understand this.
navik [9.2K]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Apparently, you're being asked to identify the sequence of steps you would use to compute the volume of the pyramid.

It seems to be a good idea to start with the formula for the volume.

Then, recognize that you need to compute B, so make that computation. The area of the base (B) is the product of the base dimensions (14)(12).

Once you have the value of B, then you can put that, along with the value of h, into the original volume formula.

Evaluating it gives the volume in cubic units.

_____

<em>Additional comment</em>

If you're familiar with the pyramid volume formula, you know that you must compute B before you can make use of the formula. That makes the sequence be B=14(12); B=168; V=1/3Bh; V=1/3(168)(7).

However, if you're starting from scratch, it is probably good to begin with the volume formula. That is what tells you that you need to find B in the first place. This is the sequence we show below.

6 0
3 years ago
A line that includes the points ( - 4, - 3) and ( - 3,S) has a slope of 3. What is the value of s?
Illusion [34]

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-4, -3) and (-3, s) and the slope m = 3. Substitute:


6 0
3 years ago
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