Answer:
I am not sure but I think the correct answer is c
m∠1 = 30° (by Vertical angle theorem)
m∠A = 80° (by Triangle sum theorem)
m∠D = 80° (by Triangle sum theorem)
The value of x is 7.5 and y is 9.
Solution:
∠ACB and ∠DCE are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
⇒ m∠DCE = m∠ACB
⇒ m∠1 = 30° (by Vertical angle theorem)
In triangle ACD,
Triangle sum property:
<em>Sum of the interior angles of the triangle = 180°</em>
⇒ m∠A + m∠C + m∠B = 180°
⇒ m∠A + 30° + 70° = 180°
⇒ m∠A + 100° = 180°
⇒ m∠A = 100° – 180°
⇒ m∠A = 80° (by Triangle sum theorem)
Similarly, m∠D = 80° (by Triangle sum theorem)
In ΔACD and ΔDCE,
All the angles are congruent, so ΔACD and ΔDCE are similar triangles.
<em>In similar triangle corresponding sides are in the same ratio.</em>

Do cross multiplication.
90 = 12x
7.5 = x
Now, to find y:

Do cross multiplication.
9y = 72
Divide by 9, we get
y = 8
Hence the value of x is 7.5 and y is 9.
Answer:
A
Step-by-step explanation:
The volume (V) of water in the tank is calculated as
V = lbh (l is length, b is breadth and h is height )
Here l = 80, b = 40 and h = 50 , then
V = 80 × 40 × 50 = 160000 cm³
V ( in litres) = 160000 ÷ 1000 = 160 litres , then
number of times = 160 ÷ 10 = 16
Answer:
A. d = 59°
Step-by-step explanation:
We know that the 3 angles added up together are a straight line or 180°. Therefore,
m∠d° = 180 - (57 + 64)
Answer:
24 ft
Step-by-step explanation:
hmmmmm I'm confused 24ft or 11ft but my answer is 24ft