Answer:
x=9
Step-by-step explanation:
The goal is to combine our knowledge of geometry area and algebra skills to solve this problems.
We know area of rectangle is
where l is the length and w is the width. We know that one side is 3 less than the other side. We can use L or W but let use L. Let x replace L
One side is x, while the other side is
Both multiply to 54.
or
Distance. is positive so x=9
Answer:
10.60305932
Step-by-step explanation:
-1/2+2 (-9/4)
Reduce the fraction by dividing the numerator and denominator by 2
-1/2+1 (-9/2)
Multiply the values
-1/2 - 9/2
Bring the values to the common denominator
(-1-9)/2
Calculate the difference
-10/2
Reduce the fraction by dividing the numerator and denominator by 2
-5.
The measure of ∠E will be equal to 38°.
Given,
m∠BFE = 118° and m∠C = 86°
And BF bisects ∠ABD
From the Property of Linear Pair,
∠AFB + ∠BFE = 180°
=> ∠AFB + 118° = 180°
=> ∠AFB = 62°
Now, we can see that ∠AFB and ∠FBD are equal because they are alternate angles.
And ∠FBD and ∠ABF are equal because BF bisects ∠ABD.
So, In ∆ABF,
∠AFB + ∠ABF + ∠BAF = 180° (because of the angle sum property of a triangle)
=>62° + 62° + ∠BAF = 180°
=>∠BAF = 180° - 124°
=> ∠BAF = 56°
Similarly, in ∆ABE,
∠A +∠C +∠E = 180°
=> 56° + 86° + ∠E = 180°
=> ∠E = 38°
Therefore, m∠E = 38°.
Learn more about Angles of Triangle at
brainly.com/question/28736528
