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Veseljchak [2.6K]
3 years ago
15

Question in pic, will mark brainliest.

Mathematics
1 answer:
bulgar [2K]3 years ago
3 0

Answer:

See explanation

Step-by-step explanation:

Consider triangles ABC and DEC. In these triangles,

  • \overline{BC}\cong \overline {EC} - given
  • \overline{AC}\cong \overline {DC} - given;
  • \angle ACB\cong \angke DCE as vertical angles.

So,

\triangle ABC\cong \triangle DEC by SAS postulate (two sides and angle between these sides of one triangle are congruent to two sides and angle between these sides of another triangle, so triangles are congruent).

Congruent triangles have congruent corresponding parts, hence,

\overline{BA}\cong \overline{ED}

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Help ! solve the following system of equations <br><br> -9x+2y=-13<br><br> 2x-9y=20
Stella [2.4K]

Answer: x = 1, y = -2

Step-by-step explanation:

-9x+2y=-13

x= 13/9 + 2/9y

2x-9y=20

2(13/9+2/9y)-9y=20

<em>Substitute y with -2.</em>

<em />

x= 13/9+2/9(-2)

<em>After solving you'll see that 1 is a possible solution for x.</em>

<em />

Check your answer

-9x+2y=-13

-9x1+2(-2) = -13

2x-9y=20

2x1-9(-2) = 20

-13 = -13

20 = 20

Therefore, x=1 and y=-2

5 0
3 years ago
What is the least common multiple of 3, 4, 9, and 12
Sati [7]

Answer:

36

Step-by-step explanation:

3 x 12 = 36

4 x 9 = 36

7 0
3 years ago
How many cubes with the side lengths of 1/2 cm does it take to fill the prisim?
My name is Ann [436]

Answer:

Number of cubes that fills the prism=24

Step-by-step explanation:

The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm

Volume of  the prism=Length*Width*Height

Length=2 cm\\\\    Width=1 cm\\   \\ Height=3/2 cm = 1.5 cm

Volume of Prism = 2*1*1.5

                      =3.0 cm^3

Volume of the Cube:

                                    Side*Side*Side\\\\=0.5*0.5*0.5

                                      = 0.125 cm^3

Number of cubes that fills the prism:

                                        3.0/0.125\\\\=24 cubes

So, the number of cubes that can fill the prism is '24'

8 0
4 years ago
What is the product?
sladkih [1.3K]

Answer:

=20s³+50s²+32s+6

Step-by-step explanation:

We multiply each of the term in the initial expression by the the second expression as follows:

4s(5s²+10s+3)+2(5s²+10s+3)

=20s³+40s²+12s+10s²+20s+6

Collect like terms together.

=20s³+50s²+32s+6

3 0
4 years ago
Read 2 more answers
7000 pounds is how many tons
Mrac [35]
Well 2,000 pounds is one ton. so it would be 3 tons and 1/2
3 0
3 years ago
Read 2 more answers
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