Complete the statement, and find the value of x in the diagram. A trapezium with two opposite angles is labeled as 101 degrees.
1 answer:
The complete statement about the quadrilateral is, the quadrilateral shown is a kite and the value of x is 3
<h3>What are quadrilaterals?</h3>Quadrilaterals are shapes that have four sides and four angles.
The four sides may or may not be congruent, and at the same time the four angles may or may not be congruent
<h3>How to determine the value of x?</h3>The image that completes the question is added at the end of this solution as an attachment
From the attached figure, we have the following highlights
- Opposite angles of the quadrilateral are congruent
- Adjacent sides of the quadrilateral are congruent
This means that:
AD = DC
AB = BC
The quadrilateral shown is a kite
So, we have the following congruent angles:
ADB = CDB
Substitute the measure of both angles
11x = 9x + 6
Subtract 9x from both sides
3x = 6
Divide both sides by 2
x = 2
Hence, the complete statement about the quadrilateral is, the quadrilateral shown is a kite and the value of x is 3
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Answer:
The numbers are 12 and 3.
Step-by-step explanation:
We can solve this problem by working with the information we have and setting up some equations.
We know that one number is four times as large as another. So, let the smaller number be represented by the variable x and the bigger number be represented by 4x, since it is four times as large.
Now, we know that if the numbers are added together, then the result is six less than seven times the smaller number. This can also be represented by the equation 4x + x = 7x - 6.
Let's solve that equation like so:
So, the smaller number must be 3 (remember that x represented the smaller number). To find the bigger number, all we need to do is multiply 3 by 4, which gives us 12. Therefore, the numbers are 12 and 3.