The measure of ∠E = 87° and ∠F = 93°.
<h3>What is Parallelogram? What is triangle?</h3>
In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a parallelogram in which EFGH the measure of angle E is (2x+3) and the measure of angle F is (3x - 33).
We can write -
2(2x + 3) + 2(3x - 33) = 360°
4x + 6 + 6x - 66 = 360°
10x - 60 = 360
10x = 420
x = 42
∠E = 2 x 42 + 3 = 84 + 3 = 87°
∠F = 3 x 42 - 33 = 126 - 33 = 93°
Therefore, the measure of ∠E = 87° and ∠F = 93°.
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Answer:
17.7777777778
Step-by-step explanation:
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Answer:
Step-by-step explanation:
c + f = 10 (the coach tickets + first class tickets = 10)...there is 10 people
160c + 1230f = 6950....each coach ticket is 160 and each first class ticket is 1230.....and when added, they equal 6950 (for the airfare)
c + f = 10.....c = 10 - f
160c + 1230f = 6950
sub in 10 - f for c
160(10 - f) + 1230f = 6950
distribute the 160 thru the parenthesis
1600 - 160f + 1230f = 6950
combine like terms
1600 + 1070f = 6950
subtract 1600 from both sides
1070f = 6950 - 1600
1070f = 5350
divide both sides by 1070
f = 5350/1070
f = 5 <===== she bought 5 first class tickets
c + f = 10
we found f to be 5...so sub in 5 for f and find c, the coach tickets
c + 5 = 10
c = 10 - 5
c = 5 .......and she bought 5 coach tickets
check...
160c + 1230f = 6950
160(5) + 1230(5) = 6950
800 + 6150 = 6950
6950 = 6950 (correct)....so it checks out
5 coach and 5 first class
Answer:
it is a rhombus
Step-by-step explanation:
only because if you do the division and multiply the ploynomials the circumfrance is an easy 2 which can be added to 3 but subtract the 1 making it part of the photosynthesis and can lead to bigger things such as a RHOMBUS