I am greater than 1/3 but less than 1. My numerator and denominator have a difference of 5 and a product of 24. Who am I?
1 answer:
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From the given dimensions, of MI, IN, NT, TM, and MN, the quadrilateral
MINT can be drawn as shown in the attached image.
<h3>What are the steps for the construction of MINT?</h3>The given dimensions of the quadrilateral MINT are;
MI = 5 cm
IN = 6 cm
NT = 7 cm
TM = 3 cm
MN = 9 cm
The side MN is a diagonal of MINT, therefore;
ΔMIN, and ΔMTN are triangles with a common base = MN
The steps to construct MINT are therefore;
- Step 1; Draw the line MN = 9 cm.
- Step 2; Place the compass at point <em>M</em> and with a radius MI = 5 cm, draw an arc on one side of MN.
- Step 3; Place the compass at <em>N</em> and with radius IN = 6 cm, draw an arc to intersect the arc dawn in step 1 above.
- Step 4; Place an arc at point <em>M</em> and with radius TM = 3 cm draw an arc on the other side of MN.
- Step 5; Place the compass at point <em>N</em> and with radius NT = 7 cm, draw an arc to intersect the arc drawn in step 3.
- Step 6; Join the point of intersection of the arcs to points <em>M</em> and <em>N</em> to complete the quadrilateral MINT.
Please find attached the drawing (showing the construction arcs) of the
quadrilateral MINT created with MS Word.
Learn more about types of geometric construction here:
Answer:
x = 7
Step-by-step explanation:
The image below shows the relationship between secants chords and tangents.
Imagine that the letters in the image represent the numbers in the actually problem
E would equal 9
C would equal 12
and A would equal x
We would then use the same formula C² = E * ( E + A ) to solve for x , but once again instead of using letters we use the numbers in the problem
We would have 12² = 9( 9 + x )
we now solve for x
Step 1 simplify and distribute
12²=144
9 * 9 = 81
9 * x = 9x
we would then have 144 = 81 + 9x
step 2 subtract 81 from each side
144 - 81 = 63
81 - 81 cancels out
we now have 63 = 9x
step 3 divide each side by 9
63 / 9 = 7
9x / 9 = x
we're left with x = 7
