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aev [14]
3 years ago
15

In a city, in 2011, 2,251 people were killed in motor vehicle crashes involving a distracted driver, compared to 3,715 in 2010.

Find the percent decrease from 2010 to 2011 in the number of people who were killed in crashes involving a distracted driver. Round your answer to the nearest tenth percent.
Mathematics
1 answer:
Anna35 [415]3 years ago
6 0

Answer:

It would be A decrease of 39.4%

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If m∠a=47°, what is m∠b, m∠c, and m∠d? Explain how you know the measures are correct.
avanturin [10]

m ∠b = 133°, m ∠c = 47°, and m ∠d = 133°.

<h3>Further explanation</h3>

Follow the attached picture. I sincerely hope that's precisely a correct illustration.

We will use a graph of two intersecting straight lines.

Note that m ∠a and m ∠c are vertical angles. Since vertical angles share the same measures, in other words always congruent, we see \boxed{ \ m \ \angle{c} = m \ \angle{a} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{c} = 47^0 \ }}

We continue to determine m ∠b and m ∠d.

Note that m ∠b and m ∠d represent supplementary angles. Recall that supplementary angles add up to 180°.

Let us see the following steps.  

\boxed{ \ m \ \angle{a} + m \ \angle{b} = 180^0. \ }

\boxed{ \ m \ 47^0 + m \ \angle{b} = 180^0. \ }

Both sides subtracted by 47°.

\boxed{ \ m \ \angle{b} = 180^0 - 47^0. \ }

Thus \boxed{\boxed{ \ m \ \angle{b} = 133^0. \ }}

Finally, note that m ∠b and m ∠d are vertical angles. Accordingly, \boxed{ \ m \ \angle{d} = m \ \angle{b} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{d} = 133^0 \ }}

<u>Conclusion:</u>

  • m ∠a = 47°
  • m ∠b = 133°
  • m ∠c = 47°
  • m ∠d = 133°

<u>Notes:</u>

  • Supplementary angles are two angles when they add up to 180°. \boxed{ \ example: \angle{a} + \angle{b} = 180^0 \ }
  • Vertical angles are the angles opposite each other when two lines cross. Note that vertical angles are always congruent, or of equal measure. \boxed{ \ example: \angle{a} = \angle{c} \ }
<h3>Learn more</h3>
  1. About the measure of the central angle brainly.com/question/2115496
  2. Undefined terms needed to define angles  brainly.com/question/3717797
  3. Find out the measures of the two angles in a right triangle brainly.com/question/4302397

Keywords: m∠a = 47°, m∠b, m∠c, and m∠d, 133°, vertical angles, supplementary, 180°, congruent

7 0
4 years ago
Read 2 more answers
A set of 6 number cards contain the numbers 2, 5, 7, 8, 9, and 11. Which ratio is less than the ratio of odd number cards to tot
Tamiku [17]

Answer:

Ratio = 2:3

Step-by-step explanation:

Given

Cards = \{2,5,7,8,9,11\}

Required

Ratio of odd numbers to total

First, list out the odd numbers

Odd = \{5,7,9,11\}

The card has 4 odd numbers out of a total of 6.

So, the ratio is:

Ratio = Odd : Total

Ratio = 4:6

Divide by 2

Ratio = 2:3

<em>Hence, the ratio of odd to total is 2 to 3</em>

3 0
3 years ago
Rational number between 9.6 and 9.7
ELEN [110]
0.1 i guess ok so try my question but im not 100 sure its correct
3 0
4 years ago
Select the correct inequality for the graph given
Kaylis [27]

Answer:

y<= 3x-1

Step-by-step explanation:

When it comes about inequalities, keep in mind the following

the < sign means that the regions is under whatever is to other side, and the > means that the region is above whatever is on the other side of the sign

So, we see for the graphic that there is a region below a line, this suggests us that there is a < sign implied

The other thing is that there is a convention in math, is the line is graphed using a dashed line, it meas that it is not part of the region, if the line is graphed using a solid line (a continued line) then the line is inside the region, hence there is a = sign implied.

So the answer is y<= 3x-1

4 0
3 years ago
Divide x^3 -3x^2 by x-2<br> . Step 1 - Fill in the missing number:
vagabundo [1.1K]

Answer:


Step-by-step explanation:

First let us write the given polynomial as in descending powers of x with 0 coefficients for missing items

F(x) = x^3-3x^2+0x+0

We have to divide this by x-2

Leading terms in the dividend and divisor are

x^3  and x

Hence quotient I term would be x^3/x=x^2

                                                   x-2) x^3-3x^2+0x+0(x^2

x^3-2x^2

Multiply x-2 by x square and write below the term and subtract

We get  

                                                   x-2) x^3-3x^2+0x+0(x^2

x^3-2x^2

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

-x^2+0x

Again take the leading terms and find quotient is –x

                                                x-2) x^3-3x^2+0x+0(x^2-x

x^3-2x^2

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

-x^2+0x

                                                                  -x^2-2x

Subtract to get 2x +0 as remainder.

                                                  x-2) x^3-3x^2+0x+0(x^2-x-2

x^3-2x^2

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

-x^2+0x

                                                                  -x^2+2x

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

                                                                      -2x-0

                                                                              -2x+4

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

                                                                               -4

Thus remainder is -4 and quotient is x^2-x-2


8 0
4 years ago
Read 2 more answers
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