Answer:
The length of AB = 97/3 units
Step-by-step explanation:
We know that a rhombus is a quadrilateral whose four sides all have the same length.
Thus, the equation becomes
7x+2 = 4x+15
7x-4x = 15-2
3x = 13
x = 13/3
So, the length of CD = 7x+2 = 7(13/3)+2
= 91/3 + 2
= 97/3
And, the length of BC = 4x+15 = 4(13/3) + 15
= 97/3
- We already know that a rhombus is a quadrilateral whose four sides all have the same length.
Thus, the length of AB = 97/3 units
An adult with a weight of 75 kilograms have an <em>equivalent</em> weight of 165.60 pounds.
<h3>How to convert kilograms to pounds</h3>
Herein we have an application of <em>unit</em> conversions between <em>weight</em> units, from kilograms to pounds. Unit conversions follow this <em>direct proportional</em> formula:
y = k · x
Where:
x - Weight in kilograms
y - Weight in pounds
k - Conversion ratio
If we know that x = 75 kg and k = 2.208 lb/kg, then the weight of the adult in pounds is:
y = (2.208 lb/kg) · (75 kg)
y = 165.6 lb
An adult with a weight of 75 kilograms have an <em>equivalent</em> weight of 165.60 pounds.
To learn more on weight units: brainly.com/question/18762697
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Let us assume the width of the rectangle = x cm
Then
The length of the rectangle = (x + 4) cm
It is already given that
Perimeter of the rectangle = 80 cm
Now we also know the formula for perimeter of a rectangle
Perimeter = 2 ( length + width)
80 = 2 (x + 4 + x)
80 = 2 (2x + 4)
80/2 = 2x + 4
40 = 2x + 4
Dividing both sides by 2 we get
20 = x + 2
20 -2 = x
x = 18
Then
Width of the rectangle = 18 cm
Length of the rectangle = (18 + 4) cm
= 22 cm
So the rectangle has a length of 22 cm and a width of 18 cm.
Hey there!
To solve this, we need to plug each of our answer options into the inequality and see if it is true. Which ever one doesn't make the inequality true when plugged in is the answer.
OPTION A
(x,y)=(-3,0)
We plug our values into the inequality.
0≥ I-3I+3
You may have noticed the bars surrounding the negative three.. If you didn't know, this is called absolute value. Absolute value is how far the number is from 0 on the number line. -7 is 7 away from 0 on a number line, so the absolute value of -7 is 7. The absolute value of 7 is 7. The absolute value of 0 is 0. Absolute value is signified by these bars. Le'ts finish evaluating.
0≥6
As you can see, zero is not greater than or equal to six. So, option A is false.
Since A is not a solution, we already know that that is the answer, so we don't even need to check B and C. But, we can still evaluate them if you want.
OPTION B
6≥I-3I+3
6≥6
This is true.
OPTION C
4≥I0I+3
4≥3
This is also true.
Therefore, the answer is A. (-3,0)
Have a wonderful day!
