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3 years ago

5

Round each decimal to the nearest whole number 30.92

1 answer:

Serhud [2]3 years ago

5 0

It would be 31. 31 is a whole number. since 0.91 is close to 1. We would round it to 31 because of that.

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Write a statement that indicates that the triangles in each pair are congruent.

Solnce55 [7]

Triangles are congruent because all the corresponding sides and interior angles are congruent.
Step-by-step explanation:
In ΔWXY and ΔBCD
Given Sides are congruent:

Also,
Angles are congruent i,e:

By congruence statement: If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then those triangles are congruent.

Therefore, we can say the two triangles WXY and BCD are congruent because every corresponding side are of equal length and every corresponding angle has the same measure.

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3 years ago

At 3 pm jamie leaves her house

Travka [436]

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3 years ago

12a^3b^2 +18a²b^2 – 12ab^2<br> Factor completely

AleksAgata [21]

The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is $6 a b^{2}(a+2)(2 a-1)$

<u>Solution:</u>

Given, expression is $12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}$

We have to factorize the given expression completely.

Now, take the expression

$12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}$

Taking $b^2$ as common term,

$b^{2}\left(12 a^{3}+18 a^{2}-12 a\right)$

Taking "a" as common term,

$b^{2}\left(a\left(12 a^{2}+18 a-12\right)\right)$

Taking "6" as common term,

$b^{2}\left(a\left(6\left(2 a^{2}+3 a-2\right)\right)\right)$

Splitting "3a" as "4a - a" we get,

$b^{2}\left(a\left(6\left(2 a^{2}+4 a-a-2\right)\right)\right)$

$\begin{array}{l}{b^{2}(a(6(2 a(a+2)-1(a+2))))} \\\\ {b^{2}(a(6((a+2) \times(2 a-1))))} \\\\ {6 a b^{2}(a+2)(2 a-1)}\end{array}$

Hence, the factored form of given expression is $6 a b^{2}(a+2)(2 a-1)$

4 0

3 years ago

Find the values of the variables, giving brief reasons for your answers.

Yuki888 [10]

Answer:

55

Step-by-step explanation:

Because of the parallel lines (marked by those arrows) we know that the corner angles are the same:

110 - x = x so

110 = 2x

55 = x

4 0

3 years ago

A business purchases a computer system for $5,300. The value of the system decreases at a rate of 12% per year. In how many year

N76 [4]

Answer:

7

Step-by-step explanation:

If a system decreases by 12% it's the same as multiplying it by .12-1 or .88

This means we can create the following equation

computer value=5300(.88)^n

where n is the number of years

We can then plug in the value of the computer and solve for n

2200=5300(.88)^n

Divide by 5300 and get

.415=.88^n

Then put this into log form and get

$\frac{log(.415)}{log.88}$

Evaluate this into your calculator and get n=6.69 which I would probably just round to 7

6 0

3 years ago