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inessss [21]
2 years ago
6

Phoebe usually drives to work each day on a 12-mile road that is currently closed for construction. While the road is closed she

is forced to drive along one way streets to and from work(as indicated in the diagram below). What is the total distance phoebe has to drive each day (round trip) while her usual route is closed?
Mathematics
1 answer:
Mumz [18]2 years ago
3 0

The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles

<h3>What is a Pythagoras theorem?</h3>

The square of the longest side is equal to the square of the sum of the othersides.

Before we can calculate the total distance, we will need to get the hypotenuse on  both sides using the Pythagoras theorem as shown:

H^2= 12^2 + 9^2

H² = 144 + 81

H² = 225

H = 15

For the other hypotenuse

h² = 12² + 5²

h² = 144 + 25

h²  = 169

h = 13 mils

The total distance = 5 + 15 + 9 + 13

The total distance = 42 miles

The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles

Learn more on Pythagoras theorem here: brainly.com/question/12306722

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In figure if AB is parrallel to CD,
lara31 [8.8K]

Answer:

Yes

Step-by-step explanation:

They are parallel lines basically, ingnore the measurements and the traingle, they were put there to confuse you.

Hope this helps

Never30

7 0
4 years ago
Please help ASAP. PRE ALGEBRA
telo118 [61]

Answer:

x=35

Angle measurements of the triangle from least to greatest:

35,40,105

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees.

So we know that 40+3x+x=180.

First step is to combine the like  terms on the left hand side:

40+4x=180

Second step is to subtract 40 on both sides.

4x=140

Third step is to divide both sides by 4:

x=35

The angle that is given is the one that is 40 degrees.

So the angle whose measurement is x is really 35 degrees.

The angle whose measurement is 3x is real 3(35)=105 degrees.

In order from least to greatest we have:

35,40,105

6 0
3 years ago
Find x: 3/(x-4)(x-7) + 6/(x-7)(x-13) + 15/(x-13)(x-28) - 1/x-28 = -1/20
Novay_Z [31]

The value of x<em> </em>in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is <em>x </em>= 24

<h3>How can the polynomial with fractions be simplified to find<em> </em><em>x</em>?</h3>

The given equation is presented as follows;

\frac{3}{(x - 4) \cdot (x - 7) }  + \frac{6}{(x - 7) \cdot (x - 13)   }  + +\frac{15}{(x - 13) \cdot (x - 28) } - \frac{1}{(x - 28)  } =  -  \frac{1}{20}

Factoring the common denominator, we have;

\frac{3\cdot(x - 13) \cdot(x - 28) + 6 \cdot(x - 4) \cdot(x - 28)  + 15 \cdot(x - 4) \cdot(x - 7)  - (x - 4) \cdot (x - 7)\cdot(x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Simplifying the numerator of the right hand side using a graphing calculator, we get;

By expanding and collecting, the terms of the numerator gives;

-(x³ - 48•x + 651•x - 2548)

Given that the terms of the numerator have several factors in common, we get;

-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)

Which gives;

\frac{-(x - 7) \cdot(x - 28)\cdot (x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Which gives;

\frac{-1}{(x - 4)}   + =  -  \frac{1}{20}

x - 4 = 20

Therefore;

  • x = 20 + 4 = 24

Learn more about polynomials with fractions here:

brainly.com/question/12262414

#SPJ1

5 0
2 years ago
The four rectangles shown have different side lengths.
RUDIKE [14]
Answer is <span>D.
A and D

A = 2(6+2) = 16
D = 2(4+3) = 16
both have perimeters = 16</span>
8 0
3 years ago
A student did a survey on how people feel when they are hungry. The results were that more people felt a stabbing pain than thei
Kamila [148]

it’s 19 :)

filler

:)

hi

7 0
3 years ago
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