we can divide the composite shape into on quadrilateral and triangle as shown in the diagram. since the line that joins the two shape is parallel to the base AB, the angle DEC is 85°.The angle CEA is 180°- angle DEC = 180-85=95. Angle BCE is sum of angle CEA, ABC and EAB subtracted from360°= 360°-(95+95+85)=85°. Angle DCE is 120°- ECB=35°. So, angle CDE = 180°-(35°+85°)= 60°. For reference see the diagram.
9514 1404 393
Answer:
2) x = 7
3) x = 5
Step-by-step explanation:
When a transversal crosses parallel lines, all of the acute angles are congruent, and all of the obtuse angles are congruent. When it crosses at right angle, all of the angles are right angles.
2) All of the angles are right angles.
11x +13 = 90
11x = 77 . . . . . . subtract 13
x = 7 . . . . . . . divide by 11
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3) The two marked angles are acute.
16x = 80 . . . . the acute angles are congruent
x = 5 . . . . . . divide by 16
9514 1404 393
Answer:
6.2 ft
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr²h
Here, we have r=2h and V=3000 ft³. Putting these numbers into the formula and solving for h, we get ...
3000 ft³ = π(2h)²h
(3000 ft³)/(4π) = h³ . . . . . divide by the coefficient of h³
h = ∛(750/π) ft ≈ 6.2 ft
The pool is about 6.2 feet deep.
9t = 27.99
5t = ?
Cross-multiply : 9t? = 139.95t
?=15.55
Answer:
$297.09
Step-by-step explanation:
To answer this question, just add:
163.63 + 133.46 = 297.09
So, Layla spent $297.09 in all
Hope this helps :)
