The value of x is 4.
Given that diagonals of a rectangle measure x+5 feet and 2x+1 feet as shown in the attached figure.
The diagonal of a rectangle is a line or straight line that connects the opposite corners or vertices of the rectangle.
In the given figure ABCD is a rectangle.
OA=2x+1 and OD=x+5 [Given]
AC and BD are diagonals of a rectangle.
As we know that the diagonals of a rectangle are always equal.
So, AC = BD
We can also write it as,
2×OA=2×OD
2×(2x+1) =2×(x+5)
Apply the distributive property a(b+c)=ab+ac, we get
4x+2=2x+10
Subtract 2x from both sides, we get
4x+2-2x=2x+10-2x
2x+2=10
Subtract 2 from both sides, we get
2x+2-2=10-2
2x=8
Divide both sides by 2, we get
2x/x=8/2
x=4
Hence, the value of x=4 when diagonals of a rectangle measure x+5 feet and 2x+1 feet.
Learn more about rectangles from here brainly.com/question/1549055.
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Discount percent = 33%
Sale price = $268
Let the original price be $x.
So,
So, yesterday the price was $400.
Answer:
<u>The correct answer is letter c.</u>
Step-by-step explanation:
The area equation of a triangle is given by:
(1)
Where:
b is the base
h is the height
Let's find first the angle MJK (α), using the tangent definition.
Now, if α = 37° then β (angle JLK) must be:
Now, we can find the distance ML using again the tangent definition:
The base of the triangle LKJ will be:
Therefore, using equation (1) the area of △LKJ will be:
The correct answer is c.
I hope it helps you!
There are 8 ounces in 1 cup.
54/8 =6.75 cups
Answer:
The probability that a man in this age category does NOT die of cancer during the course of the year is 0.997.
Step-by-step explanation:
Suppose the probability of an event occurring is 
.
The probability of the given event not taking place is known as the complement of that event.
The probability of the complement of the given event will be,
In this case an events <em>X</em> is defined as a man, aged 55 - 59, will die of cancer during the course of the year.
The probability of the random variable <em>X</em> is:
Then the event of a man in this age category not dying of cancer during the course of the year will be complement of event <em>X, </em>denoted by<em> X</em>'.
The probability of the complement of event <em>X</em> will be:
Thus, the probability that a man in this age category does NOT die of cancer during the course of the year is 0.997.
