A triangle has sides represented by 7, x, and, №17887250, 16.07.2021 10:54

Mathematics

A triangle has sides represented by 7, x, and x−1. If the perimeter is 28, find the length of the longest side.

Step-by-step answer

P Answered by PhD

x (11 unit) is the longest side

Step-by-step explanation:

Given:

Sides;

7, x, and x−1

Perimeter = 28

Find:

Longest side

Computation:

Perimeter = sum of all sides

So,

7 + x + (x -1) = 28

2x + 6 = 28

x = 11

So,

x -1 = 11 - 1 = 10 unit

x (11 unit) is the longest side

Mathematics

The lengths of the three sides of a triangle are 7, x+4 and 2x+1. The perimeter of the triangle is 36. What is the length of the longest side of the triangle?

Step-by-step answer

P Answered by PhD

1

Length of the longest side = 17 units

Step-by-step explanation:

Given:

Three sides of triangle

A = 7

B = x+4

C = 2x + 1

Perimeter of the triangle = 36

Find:

Length of the longest side

Computation:

We know that

Perimeter of the triangle = A + B + C

Perimeter of the triangle = 7 + x + 4 + 2x + 1

36 = 12 + 3x

24 = 3x

x = 8

So

Side B = 8 + 4 = 12 unit

Side C = 2(8) + 1 = 17 units

Length of the longest side = 17 units

Mathematics

The lengths of the three sides of a triangle are 7, x+4 and 2x+1. The perimeter of the triangle is 36. What is the length of the longest side of the triangle?

Step-by-step answer

P Answered by PhD

1

Length of the longest side = 17 units

Step-by-step explanation:

Given:

Three sides of triangle

A = 7

B = x+4

C = 2x + 1

Perimeter of the triangle = 36

Find:

Length of the longest side

Computation:

We know that

Perimeter of the triangle = A + B + C

Perimeter of the triangle = 7 + x + 4 + 2x + 1

36 = 12 + 3x

24 = 3x

x = 8

So

Side B = 8 + 4 = 12 unit

Side C = 2(8) + 1 = 17 units

Length of the longest side = 17 units

Mathematics

HELP ASAP (Geometry) 1. (06.02 LC) An equation of a given line is y = −2x + 7. Which of the following could be an equation for a line that is parallel to the given line? (6 points) y = − 1 over 2 x − 3 y = 2x − 3 y = 1 over 2 x − 3 y = −2x − 3 2. (06.01 LC) The following set of coordinates represents which figure? (−5 ,2), (−3, 4), (1, 0), (−1, −2) (6 points) Rhombus Kite Rectangle Square 3. (06.02 MC) Write an equation of a line perpendicular to line AB below in slope-intercept form that passes through the point (7, 1). Line AB is shown. A is

Step-by-step answer

P Answered by PhD

1) y = 1 over 2 x − 3;
2) Rhombus;
3) y = 0.5x + 2.5;
4) 2.7;
5) square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared;
6) 5 over 8;
7) 13.4 units;
8) 8 square units;
9) Two slopes of triangle ABC are opposite reciprocals;
10) y − 5 = −4(x − (−1)).

Mathematics

An isosceles triangle in which the two equal sides, labeled x, are longer than side y. the isosceles triangle has a perimeter of 7.5 m. which equation can be used to find the value of x if the shortest side, y, measures 2.1 m? 2 x minus 2.1 equals 7.5 4.2 plus y equals 7.5 y minus 4.2 equals 7.5 2.1 plus 2 x equals 7.5

Step-by-step answer

P Answered by PhD

16

2.1 plus 2 x equals 7.5

Step-by-step explanation:

Mathematics

An isosceles triangle in which the two equal sides, labeled x, are longer than side y. the isosceles triangle has a perimeter of 7.5 m. which equation can be used to find the value of x if the shortest side, y, measures 2.1 m? 2 x minus 2.1 equals 7.5 4.2 plus y equals 7.5 y minus 4.2 equals 7.5 2.1 plus 2 x equals 7.5

Step-by-step answer

P Answered by PhD

16

2.1 plus 2 x equals 7.5

Step-by-step explanation:

Mathematics

1. Suzie had d DVDs. Her mother bought her 39 more DVDs. 2. Dave pays 10$ each month plus 2$ for every hour he practices in a music class. Write an expression to find the total amount paid for t hours 3. The cost to rent a party plot is $50. If the cost of food per person is 5$. Write an expression to find the total cost if there are n people invited for the party 4. If the side length of a square is x cm. Write an expression to find the perimeter of a square. 5. The cost of a pizza is 8$. If every extra topping costs $2, write an expression to

Step-by-step answer

P Answered by PhD

1. The expression that represents the total number of DVDs Suzie has is d + 39

2. The expression for the amount Dave pays for t hours of practice in a month is 10 + 2 × t

3. The expression for the total cost for n people invited for the party is $50 + $5 × n

4. The expression for the perimeter of a square with side length, x is 4 × x

5. The expression for the total cost of pizza with n extra toppings is $8 + $2 × n

6. The expression for the total cost in phone charges after t months is $25 + t × $15

7. The expression for the total number of hockey sticks for n players is 4 × n

8. The relation that represent the term for each number pattern is given as follows;

Value = nth term of number

9. The relation for the perimeter of an equilateral triangle with side length k is given as follows;

Perimeter of an equilateral = 3 × Side length

∴ Perimeter of the given equilateral triangle = 3 × k

When k = 15, we have;

Perimeter of the equilateral triangle = 3 × 15 cm = 45 cm

10. a) The relation for the total cost of j jersey is $50 + $15 × j

b) The relation for the total cost of j jersey by the other company is $80 + $12 × j

c) The charges for 12 jerseys by the first company is $50 + $15 × 12 = $230

The charges for 12 jerseys by the first company is $80 + $12 × 12 = $224

Therefore, the second company will charge less if 12 jerseys are ordered

11. The real life situation that could be represented by each relation are;

a. n + 7

For every mass in grams of goods bought, n, we get a 7 gram mass of packaging

b. 4s + 5

The distance from a point covered by jogging at 4 m/s after s seconds while starting at 5 meters away from the point in the direction of jogging

12. a) The relation for the total number of music stand is n/2

b) The relation for the total number of chairs is n + 4

c) The relation for the total number of sheets of music is 7 × n