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Alja [10]
2 years ago
5

The length of the base of an isosceles triangle is x. The length of a leg is 2x - 2. The perimeter of the triangle is 71. Find

Mathematics
1 answer:
Elanso [62]2 years ago
3 0

Answer:

x = 15

Step-by-step explanation:

x + 2x - 2 + 2x - 2 = 71

Solve for x, you get 15.

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A truck uses 1 gallon of diesel for every 12 miles traveled. The amount of diesel left in the gas tank, r gallons, after traveli
Snezhnost [94]

<em>The question has missing details. However, general questions that could be asked is as follows:</em>

<em>(1) The number of miles traveled after using (say) 5 gallons</em>

<em>(2) The number of gallons used after traveling for (say) 36 miles</em>

Answer:

See Explanation

Step-by-step explanation:

Given

s = 120 - 12r

A linear equation is represented as:

y = c + mx

Where

c =y\ intercept and

m = slope.

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

s = 120 - 12r

s = 120 - 12 * 5

s = 120 - 60

s = 60

<em>60 miles traveled</em>

Solving (b): s = 36

s = 120 - 12r

36 = 120 - 2r

Collect like terms

2r =120 -36

2r =84

Solve for r

r = 42

<em>42 gallons used</em>

4 0
3 years ago
Find the equation of the line that passes through the points (–2, 4) and (1, 2).
Stolb23 [73]

Answer:

The answer to your question is c)    y = (-2/3)x + 8/3    

Step-by-step explanation:

Data

A (-2, 4)

B (1, 2)

Process

1.- Calculate the slope of the line

-Formula

  m = (y2 - y1)/(x2 - x1)

  x1 = -2    y1 = 4    x2 = 1   y2 = 2

-Substitution

  m = (2 - 4) / (1 + 2)

-Simplification

  m = -2/3

2.- Find the equation of the line

Formula

    y - y1 = m(x - x1)

-Substitution

   y - 4 = -2/3 (x + 2)

-Simplify

   y - 4 = (-2/3)x - 4/3

   y = (-2/3)x - 4/3 + 4

   y = (-2/3)x - 4/3 + 12/3

-Result

   y = (-2/3)x + 8/3    

3 0
4 years ago
For hockey practice, Rosa has to skate around a face off circle five times. The face off circle has a diameter of 9.0m. About ho
SVETLANKA909090 [29]

Answer:

Distance\ cover\ by\ Rosa = 141.3\ m

Step-by-step explanation:

Given:

Rosa has to skate around a face off circle five times.

Distance = 5\times circumfrance\ of\ circle

Diameter of a circle = 9.0 m

Radius of a circle = \frac{d}{2} =\frac{9}{2}=4.5\ m

Solution:

We know that the circumference of a circle.

C = 2\pi r

Where;

r = Radius of a circle

Substitute \pi =3.14\ and\ r = 4.5 in above equation.

C = 2\times 3.14\times 4.5

C = 28.26\ m

So, the circumference of the circle is 28.26 m.

Rosa has to skate around a face off circle five times, so Rosa cover 28.26 m 5 times.

Distance\ cover\ by\ Rosa = 5\times 28.26

Distance\ cover\ by\ Rosa = 141.3\ m

Therefore, the distance cover by Rosa to skate 141.3 m.

7 0
3 years ago
Find the value of x write your final answer as x=...
Anastaziya [24]

Answer:

Step-by-step explanation:

The small square represents a 90 degree angle. So you know 1 angle

5x + 4x + 90 = 360 because you have a circle in the center. Combine left.

9x + 90 = 360         Subtract 90 from both sides

9x = 360 - 90          Combine

9x = 270                  Divide by 9

x = 270/9

x = 30

5 0
2 years ago
Barbara is 142 cm tall. This is 2 cm less than 3 times
krok68 [10]
The answer for your question is 45 cm long
3 0
4 years ago
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