B. 7
C. 11
D. 6
and,
If ABCD is a parallelogram, what is the length of BD?
A. 10
B. 12
C. 7
D. 5
Answer:
x = 11
BD = 10
Step-by-step explanation:
Solving for x
The opposite sides if a parallelogram are equal and parallel.
Hence,
2x - 5 = 17
Collecting like terms:
2x = 17 + 5
2x = 22
x = 11
If E is a midpoint, then BE equals to DE
Since BE = 5, then
BD = 2 * BE
BD = 10
Choose all answers that are correct.
A.
whole numbers
B.
natural numbers
C.
negative integers
D.
integers
B. England
C. United States
D. Ireland
The English measurement system is primarily used by United States.
Hence the correct option is C. United States.
The English measurement system, also known as the Imperial system, is primarily used by the United States (option C) and to a lesser extent by some other countries that have historical ties to the British Empire.
While England (option B) does use the Imperial system, it is most commonly associated with the United States.
Italy (option A) primarily uses the metric system, and Ireland (option D) officially adopted the metric system in the late 19th century, although some remnants of the Imperial system are still in use in everyday life.
Hence the correct option is C. United States.
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The equation is solved and the two numbers are x = 7 and y = 12
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let's call the first number "x" and the second number "y"
x = y - 5 (the first number is 5 less than the second number)
2y = 4x - 4 (twice the second number is 4 less than 4 times the first)
We can use substitution to solve for one of the variables.
Substituting the first equation into the second equation, we get:
2y = 4 (y - 5) - 4
Simplifying this equation , we get
2y = 4y - 24
2y - 4y = -24
-2y = -24
y = 12
Now that we know that the second number is 12, we can use the first equation to find the first number:
x = y - 5
x = 12 - 5
x = 7
Hence , the two numbers are 7 and 12
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Answer:
9 and 14
Step-by-step explanation:
One number is 5 less than a second number.
a = b - 5
:
Twice the second number is 8 less than 4 times the first.
2b = 4a - 8
replace a with (b-5)
2b = 4(b-5) - 8
2b = 4b - 20 - 8
2b - 4b = -28
-2b = -28
b = 14
then
a = 9