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Papessa [141]
3 years ago
10

On a map of North Carolina has a scale of 1 in = 60 miles. If from Charlotte to

Mathematics
2 answers:
aliina [53]3 years ago
8 0

Answer:

270 miles

Step-by-step explanation:

Alexandra [31]3 years ago
6 0

Answer:

270 miles

Step-by-step explanation:

60 * 4.5 = 270

Each inch is equal to 60 miles. You can set up a ratio like this.

\frac{1}{60} = \frac{4.5}{x}

Cross multiply to solve for x (or use a calculator).

x = 270

Note in our equation that the denominators are miles and numerators are inches. These much match or else you will get an incorrect answer.

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Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.
LuckyWell [14K]

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle.

Opposite angles of a Quadrilateral are Supplementary.

\therefore \: \angle A + \angle C = 180° \\  \therefore \:(2x + 3) \degree+ (2x + 1) \degree = 180° \\  \therefore \: (4x + 4) \degree = 180° \\ \therefore \: (4x + 4) = 180 \\ \therefore \: 4x = 180 - 4 \\ \therefore \: 4x = 176 \\ \therefore \: x =  \frac{176}{4}  \\ \therefore \: x =  44 \\  \\  m\angle A  = (2x + 3) \degree \\  = (2 \times 44 + 3) \degree \\ = (88 + 3) \degree \\  \huge \red{ \boxed{ \therefore \: m\angle A  =91 \degree}} \\  \\ m\angle  C = (2x + 1) \degree \\  = (2 \times 44 + 1) \degree \\ = (88 + 1) \degree \\  \huge \red{ \boxed{ \therefore \: m\angle   C=89\degree}}  \\  \\ m\angle  D= (x - 10) \degree \\  = (44 - 10) \degree \\  \huge \red{ \boxed{ \therefore \: m\angle  D =34\degree}}  \\  \\ similarly \\  \\  \huge \red{ \boxed{ \therefore \: m\angle  B  = 146\degree}}   \\  \\

6 0
3 years ago
How do I find the variable?<br><br> N x 1/5 = 2/15<br><br> N / 1/5 = 1/3
algol [13]
First you need to get all variables on one side. You do that by multiplying the reciprocal of the fraction to everything.
N(5/1) x 1/5(5/1)=2/15(5/1)
5n=2/15 x 5/1
Then solve the multiplication problem
5n= 10/15
Then you should reduce the fraction
5n=2/3
Then divide both sides by 5
5n/5=N
2/3 divided by 5 =2/15

N=2/15




4 0
3 years ago
Which of the following expression has the greatest value: -3+-4-(-2),-3-(-4)-(-2),-3+-4-2,-3-(-4)-2
AleksAgata [21]
The third one
U solve from left to right and when two negatives are next to each other it turns to a plus.
6 0
2 years ago
A car of 1000 kg starts to move from rest and travels a distance of 150 m in 10 second. How much force is needed?​
allsm [11]
  • Initial velocity=u=0m/s
  • Distance=s=150m
  • Time=t=10s
  • Acceleration=a

Using second equation of kinematics

\\ \sf\longmapsto s=ut+\dfrac{1}{2}at^2

\\ \sf\longmapsto 150=0(10)+\dfrac{1}{2}a(10)^2

\\ \sf\longmapsto 150=\dfrac{1}{2}\times 100a

\\ \sf\longmapsto 50a=150

\\ \sf\longmapsto a=\dfrac{150}{50}

\\ \sf\longmapsto a=3m/s^2

  • Mass=m=1000kg
  • Force=F

Using newtons second law

\\ \sf\longmapsto F=ma

\\ \sf\longmapsto F=1000(3)

\\ \sf\longmapsto F=3000N

3 0
2 years ago
In a triangle ABC, A= 29°, B=36° and b=15.8cm. Find a, using sine rule.​
Nastasia [14]
A= (b sin A)/ sinB

a= (15.8 sin29)/ sin36

a= 13.03 cm
4 0
3 years ago
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