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3 years ago

5

The distance between two cities on a map is 10 in. The actual distance between the cities is 135. What is the scale on the map?

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1 answer:

spayn [35]3 years ago

4 0

The scale on the map is 1 in = 13.5 units

135/10 = 13.5

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Please help soon! Thanks! Solve for x

spin [16.1K]

Answer:

$x=27\degree$

Step-by-step explanation:

$\because AC || DE.... (given)$

$\therefore m\angle CAD= m\angle EDF\\ (corresponding \: \angle s)$

$\therefore m\angle BAD= m\angle EDF\\(\because B\in \overleftrightarrow{AC})$

$\therefore m\angle BAD= 2x\\(\because m\angle EDF=2x)$

$In\:\triangle BAD,$

$m\angle BAD+m\angle BDA+m\angle ABD= 180\degree$

$2x+2x+72\degree = 180\degree$

$4x= 180\degree -72\degree$

$4x= 108\degree$

$x= \frac {108\degree}{4}$

$x=27\degree$

5 0

3 years ago

What are the solution(s) to the quadratic equation 9x^2=4?

Irina18 [472]

Answer:

x = 2/3 or x = -2/3

Step-by-step explanation:

Solve for x over the real numbers:

9 x^2 = 4

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 9:

x^2 = 4/9

Hint: | Eliminate the exponent on the left-hand side.

Take the square root of both sides:

Answer:x = 2/3 or x = -2/3

8 0

3 years ago

Help me with a. b. c. I need help

hammer [34]

Answer:

a) Perimeter = 20.5 Inches

Area is 15 Sq Inches

b) Perimeter is 61.4 Cms

Area is 210 Sq cm

c) Perimeter is 22 yards

Area is 21 Sq Yards

Step-by-step explanation:

a) Perimeter = sum of all the sides

= 8+7.5+5

=20.5

Perimeter = 20.5 Inches

Area of Triangle = $\frac{1}{2} \times height \times Base$

Base = 7.5 In

Height = 4 In

$A = \frac{1}{2} \times 4 \times 7.5$

$A = 2 \times 7.5$

$A = 15$

Hence Area is 15 Sq Inches

b) Perimeter = Sum of all the sides

P=13+23+13.4+12

P=61.4

Perimeter is 61.4 Cms

Area of trapezium = $\frac{1}{2} \times height \times (sum \ of \ parallel \ sides)$

$A= \frac{1}{2} \times 12 \times (12+23)$

$A= 6 \times 25$

$A=210$

Area is 210 Sq cm

c) Perimeter = Sum of all the sides

P = 7+4+7+4 ( as Opposite sides are equal in a parallelogram

P = 22

Perimeter is 22 yards

Area of a parallelogram = $base \times height$

$A= 7 \times 3$

$A = 21$

Area is 21 Sq Yards

3 0

3 years ago

What is the completely factored form of 12xy-9x-8y+6

boyakko [2]

Answer: (4y - 3)(3x - 2)

Step-by-step explanation: Factor the polynomial.

Hope this helps! :) ~Zane

5 0

3 years ago

Read 2 more answers

The image shows the distances in miles between three cities. How much closer is it to travel from Aurora to Clifton directly tha

murzikaleks [220]

Answer:

First we need to calculate the distance between Clifton and Burlington by using Pythagorean theorem:

x² + 65² = 97²

=> x² = 97² - 65²

=> x² = 5184

=> x = √5184 = 72 (m)

The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137 (m)

We have: 137 - 97 = 40 (m)

So it is 40 m closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington

7 0

3 years ago