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Alinara [238K]
3 years ago
14

A regular polygon is always convex. False True

Mathematics
2 answers:
notka56 [123]3 years ago
6 0

Answer:

True

Step-by-step explanation:

In a convex polygon, each interior angle measures less than 180 degrees. A triangle is always convex and regular polygons are always convex.

Tresset [83]3 years ago
4 0

Answer:

Step-by-step explanation:

false

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Triangle ABC with vertices A(2, 4) , B(4, 0) , and C(6, 6) is dilated about the origin to be triangle A′B′C′ .
natka813 [3]

Answer:

Triangle ABC is dilated by a scale factor of 1.5

Step-by-step explanation:

The general rule for the dilation about the origin with a factor of k is

(x,y)\rightarrow (kx,ky)

You are given two triangles ABC and A'B'C'.

In triangle ABC:

  • A(2,4)
  • B(4,0)
  • C(6,6)

From the diagram, in triangle A'B'C':

  • A'(3,6)
  • B'(6,0)
  • C'(9,9)

As you can see

  • A(2,4)\rightarrow A'\left(\dfrac{3}{2}\cdot 2,\ \dfrac{3}{2}\cdot 4\right)=A'(3,6)
  • B(4,0)\rightarrow B'\left(\dfrac{3}{2}\cdot 4,\ \dfrac{3}{2}\cdot 0\right)=B'(6,0)
  • C(6,6)\rightarrow C'\left(\dfrac{3}{2}\cdot 6,\ \dfrac{3}{2}\cdot 6\right)=C'(9,9)

So, triangle ABC is dilated by a scale factor of \dfrac{3}{2}=1.5

8 0
3 years ago
Read 2 more answers
The circle below is centered at the point (3,-4) leght 3
wolverine [178]
3-5 Mx s djcne e wvhejxne bd
5 0
3 years ago
Jeff needs to buy food and medication for six cats and one dog. The cost of food and medication for a cat is $5 less than two-th
Elodia [21]
Let x be the amount that Jeff spent for the food and medication of his dog. With this representation, the cost of food and medication for each cat is 2x/3 - 5. The equation that best represent the given situation is


                            x + 6(2x/3 - 5) = 195

The value of x from the equation is 45. Jeff spent $45
8 0
2 years ago
Ling's elementary school principal wants to hire some new teachers. 6 teachers applied for one 1st grade teaching job, and 3 tea
kolbaska11 [484]

Answer:

Ling's principal can hire new teachers in 54 different ways.

Step-by-step explanation:

Since Ling's elementary school principal wants to hire some new teachers, and 6 teachers applied for one 1st grade teaching job, and 3 teachers applied for one 2nd grade teaching job, and there is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job, to determine how many different ways can Ling's principal hire new teachers the following calculation has to be done:

6 x 3 x 3 = X

18 x 3 = X

54 = X

Therefore, Ling's principal can hire new teachers in 54 different ways.

8 0
2 years ago
Solve for x.<br> -2(x-7)=16
solniwko [45]

Answer:

-1

Step-by-step explanation:

-2(x-7)=16

-2x +14=16 You distribute

      -14 -14

-2x = 2

-2     -2 you divide

and get -1 as your answer.

Hope my answer has helped you!

5 0
2 years ago
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