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ELEN [110]
2 years ago
14

Triangle def is equilateral. If the perimeter of def is 36, the length of de is 5x-8, then what is the value of x

Mathematics
1 answer:
My name is Ann [436]2 years ago
3 0

Answer:

4

Step-by-step explanation:

All the sides of an equilateral triangle are equal, hence the perimeter is expressed as P = 3s

s is one of the side length

Given  DE = 5x - 8

P = 3DE

P = 3(5x-8)

36 = 3(5x-8)

36/3 = 5x-8

12 = 5x - 8

5x = 12+9

5x = 20

x = 20/4

x = 4

Hence the value of x is 4

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What valie of x makes the equation true​
Arada [10]

Answer:

x = 1.25

Step-by-step explanation:

-3x+10 = 5x-8

+3x        +3x

10 = 8x - 8

+8           +8

18 = 8x

x = 18/8

x = 1 1/4 = 1.25  

3 0
2 years ago
If the Nutrition Facts panel on a food label indicates that a food has 24 g of total carbohydrates, 2 g of fiber and 12 g of sug
Ann [662]

Answer:

Option a is correct.

Step-by-step explanation:

Since both fiber and sugar are types of carbohydrates and it is given that a portion of food has 24 gm of total carbohydrate and within which 2 gm of fiber and 12 gm of sugar.

Therefore, this food contains 2 g of fiber, 12 g of sugars, and 10 g of other unnamed carbohydrates, for a total of 24 g.  

Hence, option (a) is correct. (Answer)

5 0
3 years ago
Point B has coordinates ​(3​,1​). The​ x-coordinate of point A is negative 1. The distance between point A and point B is 5 unit
mina [271]

Answer:

Given in quesion:Point B (3,1) and point A is -1. Distance between A and B is 5 units.

Using distance formula for AB we obtain,

AB^2=(x2-x1)^2 + (y2-y1)^2

5^2=(3+1)^2 + (1-y)^2

25-16=(1-y)^2

9=(1-y)^2

1-y=3

y= -2

Therefore the possible co-ordinates of A are(-1,-2).This is your required answer.

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%28-1%29%2B%28-10%29%2B4" id="TexFormula1" title="(-1)+(-10)+4" alt="(-1)+(-10)+4" align="absm
ratelena [41]
Answer : -7

Step- by- step- explanation:
( - 1) + ( -10 ) + 4
- 1 - 10 + 4
- 11 + 4
- 7

Hope this helps
7 0
3 years ago
Given a container that is 4.500 ft by 7.00 ft is filled with water 5.00inches deep. what is the volume of water in liters
RSB [31]
The volume of a figure is the number of cubic units present in the figure. For this problem, we assume that the figure would be a rectangular box in shape. So, the volume would be calculated by the product of its length, width and height or in this case the depth.  We calculate the volume of water as follows:

Volume = 4.50 ft x 7.00 ft x 5.00 in ( 1 ft / 12 in ) 
Volume = 13.125 ft^3

We need to convert the resulting volume in liters. We do as follows:

Volume = 13.125 ft^3 ( 0.3048 m / 1 ft )^3 ( 1000 L / 1 m^3 )
Volume = 371.66 L
4 0
2 years ago
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