x = 36
pentagon has 5 sides . The formula n/360 gives you the measure of each angle in a regular polygon. So in this case n ( stands for number of sides) is 5. Sum of exterior angle of a any polygon is 360. The measure of 1 exterior angle is given. It is 2x.
Now using ALGEBRAIC EXPRESSIONS we can write it as 5/360 = 2x
which is 72=2x
which is 72/2 = x
which is 36 = x
so x = 36.
To divide 54,164 by 44, we start from the first digit.
First we take the first 2 digits: i.e. 54 divided by 44, which gives 1 remainder 10.
Next, we join the next digit to the remainder and divide again by 44: i.e. 101 divided by 44, which gives 2 remainder 13.
Next, we join the next digit to the remainder and divide again by 44: i.e. 136 divided by 44, which gives 3 remainder 4.
Next, we join the next digit to the remainder and divide again by 44: i.e. 44 divided by 44, which gives 1.
We now joining all the results from our algorithm, to get that 54,164 divided by 44 is 1,231.
The answer would be 12 to the -10 because with multiplication you you add the -4 and -6
Answer:
Maybe D
Step-by-step explanation:
DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
<h3>
Congruent shape</h3>
Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.
Given that DE = AB and BC = EF.
In right triangle DEF, using Pythagoras:
DF² = DE² + EF²
Also, In right triangle ABC, using Pythagoras:
AC² = AB² + BC²
But DE = AB and EF = BC, hence:
AC² = DE² + EF²
AC² = DF²
Taking square root of both sides, hence:
AC = DF
Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
Find out more on Congruent shape at: brainly.com/question/11329400
