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Alja [10]
3 years ago
11

What is the result of (x^2 – 10x) – (–5x^2 + x)?

Mathematics
1 answer:
Advocard [28]3 years ago
5 0

Answer:

(6x²-11x) that's the answer :)

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Consider the statement : Congruent triangles are always similar. Which of the following statements is an example of the statemen
swat32

Answer:

Yes, the congruent triangles are always similar. The following statements are applicable

1) Angles are the same, but sides are proportional to eachother.

2) Sides are the same size.

3)Corresponding angles and corresponding sides are congruent.

Step-by-step explanation:

Yes, they are similar.

For two triangles to be similar, it is sufficient if two angles of one triangle are equal to two angles of the other triangle. Note that if two angles of one are equal to two angles of the other triangle, the third angles of the two triangles too will be equal.

If two triangles are congruent then all corresponding sides as well as corresponding angles of one triangle are equal to those of other triangles. This can happen in four cases

1)- when all sides of triangles are equal,

2) - if one side and two angles of one are equal to one side and two angles of other triangle.

3) - if two sides and included angle of one triangle are equal to two sides and included angle of other triangle

4)- if in two right angled triangles, one side and hypotenuse of one triangle are equal to one side and hypotenuse of other triangle.

Observe that for triangles to be similar, we just need all angles to be equal. But for triangles to be congruent, angles as well as sides should be equal.

Hence, while congruent triangles are similar, similar triangles may not be congruent ( but the converse is not true) .

4 0
3 years ago
Kim picked 250 pounds of pears yesterday and 287 pounds of pears today. What is the percentage increase of
xxMikexx [17]

Given:

Kim picked 250 pounds of pears yesterday and 287 pounds of pears today.

To find:

The percentage increase of  amount of pears picked by Kim.

Solution:

We know that,

\%\text{ increase}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100

\%\text{ increase}=\dfrac{287-250}{250}\times 100

\%\text{ increase}=\dfrac{37}{25}\times 10

\%\text{ increase}=\dfrac{370}{25}

\%\text{ increase}=14.8

Therefore, the percentage increase of  amount of pears picked by Kim is 14.8%.

7 0
2 years ago
Evaluate 2/ 3 ÷ 4 /5 Give your answer as a fraction in its simplest form.
gulaghasi [49]

Step-by-step explanation:

<u>Our problem:</u>

\frac{2}{3}   \div  \frac{4}{5}  = unknown

How to solve?

Find the reciprocal (opposite) of 4/5, then multiply. Simplify if necessary.

<u>Find the reciprocal:</u>

\frac{2}{3}  \times  \frac{5}{4}  = unknown

<u>Multiply:</u>

\frac{2}{3}  \times  \frac{5}{4}  =  \frac{10}{12}

<u>Simplify:</u>

\frac{10 \div 2}{12 \div 2}  =  \frac{5}{6}

5/6 is your answer.

7 0
2 years ago
What is the difference of the two polynomials?<br><br> (9x2 + 8x) – (2x2 + 3x)
damaskus [11]
(9x^2+8x)-(2x^2+3x)
9x^2+8x-2x^2-3x
7x^2+5x

7 0
3 years ago
Read 2 more answers
If 3t - 7 = 5t, then 6t = <br> A. 21 <br> B. -7 <br> C. -21<br> D. -42
podryga [215]

Answer:

C. -21 is your answer

Step-by-step explanation:

Solve for t. Isolate the variable t in the first equation, then use the number gotten to solve the second equation.

3t - 7 = 5t

First, subtract 3t from both sides

3t (-3t) - 7 = 5t (-3t)

-7 = 5t - 3t

-7 = 2t

Isolate the variable (t). Divide 2 from both sides

(-7)/2 = (2t)/2

t = -7/2

t = -3.5

Plug in -3.5 for t in the second equation

6(t) =

6(-3.5) =

6(-3.5) = -21

C. -21 is your answer

~

6 0
3 years ago
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