The side AB is equal to the side DE. Then the value of x is 6.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle ABC is congruent to triangle DEF.
If DE = 41, EF = 23, DF = 36, and AB = 8x − 7.
Then the side AB is equal to the side DE.
AB = DE
8x - 7 = 41
8x = 48
x = 6
Then the value of x is 6.
More about the triangle link is given below.
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Since molly's solution tally's with the given solution, hence <em>Molly's solution is correct.</em>
Given the working on a partial product of 93 and 51 carried out by Molly as shown:
This partial product can also be solved as shown below:
Applying the distributive law:
Since molly's solution tally's with the given solution, hence <em>Molly solution is correct.</em>
Learn more about partial product at: brainly.com/question/24716925
Answer:
i. 9
ii. 14
iii. 405
iv.
Step-by-step explanation:
The number of diagonals in a polygon of n sides can be determined by:
where n is the number of its sides.
i. For a hexagon which has 6 sides,
number of diagonals =
=
= 9
The number of diagonals in a hexagon is 9.
ii. For a heptagon which has 7 sides,
number of diagonals =
=
= 14
The number of diagonals in a heptagon is 14.
iii. For a 30-gon;
number of diagonals =
=
= 405
The number of diagonals in a 30-gon is 405.
iv. For a n-gon,
number of diagonals =
The number of diagonals in a n-gon is