A,D and E are <em><u>not</u></em> polynomials.
Step-by-step explanation:
Well you see my friend, that's how things work.
A polynomial <u>does</u><u> </u><u>not</u> have the variable in the <em>denominator</em>.
I have no idea what the "5-D Process" is. However:
2W = L-1
2W + 2L = 74
Add 1 to both sides of the first equation to isolate L.
2W+1 = L
Now substitute this value for L in the second equation:
2W + 2(2W + 1) = 74
2W + 4W + 2 = 74
6W + 2 = 74
6W = 72
W = 72/6 = 12
L = 2W + 1 [from above] = 2(12) + 1 = 24 + 1 = 25.
25 is one more than twice the width. 25 + 25 + 12 + 12 = 50 + 24 = 74
Answer:
9.233 ft, 23.233 ft
Step-by-step explanation:
If the shorter leg is x, then the longer leg is x+14 and the Pythagorean theorem tells you ...
x^2 + (x +14)^2 = 25^2
2x^2 +28x +196 = 625
x^2 +14x = 214.5
x^2 +14x +49 = 263.5
(x +7)^2 = 263.5
x = -7 +√263.5 ≈ 9.23268
The two leg lengths are √263.5 ± 7 feet, {9.23 ft, 23.23 ft}.
Answer:
Each interior angle of quadrilateral will be less than 180 degrees.
Step-by-step explanation:
A quadrilateral is a geometric shape which has four sides and 4 vertices. The given quadrilateral has 4 vertices and its two dimensional. The quadrilateral has angles less than 180 degrees. All of its angles are less than 180 degrees which are the vertices points on the quadrilateral.
Answer:
Part 1) The measure of angle PSL is 45°
Part 2) The measure of angle XYZ is 70°
Part 3) The measure of angle HJZ is 100°
Part 4) The measure of angle PHL is 120°
Part 5) The measure of angle WXZ is 140°
Part 6) The measure of angle UTG is 62°
Step-by-step explanation:
Part 1) Find the measure of angle PSL
we know that
∠PSL+∠LSM=90° -----> by complementary angles
we have
∠LSM=45°
substitute
∠PSL+45°=90°
∠PSL=45°
Part 2) Find the measure of angle XYZ
we know that
∠WYX+∠XYZ=180° -----> by supplementary angles
we have
∠WYX=110°
substitute
110°+∠XYZ=180°
∠XYZ=70°
Part 3) Find the measure of angle HJZ
we know that
∠HJZ=∠HJK+∠KJZ
we have
∠HJK=20°
∠KJZ=80°
substitute
∠HJZ=20°+80°=100°
Part 4) Find the measure of angle PHL
we know that
∠PHL=∠PHS+∠SHL
we have
∠PHS=46°
∠SHL=74°
substitute
∠PHL=46°+74°=120°
Part 5) Find the measure of angle WXZ
we know that
∠WXZ=∠WXY+∠YXZ
we have
∠WXY=15°
∠YXZ=125°
substitute
∠WXZ=15°+125°=140°
Part 6) Find the measure of angle UTG
we know that
∠UTG=∠ATG-∠ATU
we have
∠ATG=120°
∠ATU=58°
substitute
∠UTG=120°-58°=62°