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Shalnov [3]
3 years ago
9

Write an equivalent expression to

Mathematics
1 answer:
mel-nik [20]3 years ago
5 0
1. Distributive Property. 
<span>4(3a + 7) + 3(2a + 5)
12a + 28 + 6a + 20

2. Combine like terms
12a + 28 + 6a + 20
18a +48


The equivalent expression is 18a + 48. If a = anything then the expressions will still be equivalent. 
</span>
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3/5 with an exponent of 4
nordsb [41]

Step-by-step explanation:

\text{If is}\ \dfrac{3}{5}^4,\ \text{then}\ \dfrac{3}{5}^4=\dfrac{3\cdot3\cdot3\cdot3}{5}=\dfrac{81}{5}=16\dfrac{1}{5}\\\\\text{If is}\ \left(\dfrac{3}{5}\right)^4=\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)=\dfrac{3\cdot3\cdot3\cdot3}{5\cdot5\cdot5\cdot5}=\dfrac{81}{625}

7 0
3 years ago
Triangle CAT is transformed to produce triangle DOG.
PilotLPTM [1.2K]

Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.

  • A reflection, then a translation.
  • A rotation, then a reflection.

--------------------------

  • Two triangles are congruent if they have the <u>same lengths</u> of the sides and the <u>same angles.</u>
  • In a reflection, there is a rule that changes the <u>coordinates (x,y)</u>, but does <u>not </u>change <u>the lengths</u> of the sides of the triangles, thus they will still be congruent.
  • A <u>reflection is also a special case of rotation</u>, thus, in a rotation, the triangles are also congruent.
  • A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
  • In a dilation, the <u>lengths of the sides are changed</u>, thus, the triangles will not be congruent.

--------------------------

Thus, from the bullet points above, the correct options are:

  • A reflection, then a translation.
  • A rotation, then a reflection.

A similar problem is given at brainly.com/question/24267298

3 0
3 years ago
There were 48 blue, 48 green and 48 yellow crayons. Also there were 72 red crayons and 120 colored pictures. What is the largest
Elis [28]
48 sets i believe since there are only 48 maximum of blue, green and yellow crayons therefore the 49th set would only contain a red crayons and a picture
3 0
3 years ago
Read 2 more answers
Very important!!! someone please help, it's not hard
Softa [21]

Answer:1.5

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Find the midpoint of the line segment joining the points (10,14) and (-7,7).
LekaFEV [45]

Answer:

(1.5, 10.5)

Step-by-step explanation:

midpoint =  \bigg( \frac{10 + ( - 7)}{2},  \:  \:  \frac{14 + 7}{2}  \bigg) \\  \\  = \bigg( \frac{3}{2}, \:  \:  \frac{21}{2}  \bigg) \\  \\  = = ( 1.5,  \:  \:  10.5 )

3 0
3 years ago
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