Answer:
I suggest that you add something for me to find
Step-by-step explanation:
Answer:
308
Step-by-step explanation:
The answer is 308 feet
Answer:
C
Step-by-step explanation:
Make an equation using the law of sines.
sin(72)/x = sin(18)/100
Then solve for x.
x = 308
What is the missing statement in the proof?
∠1 ≅ ∠2
a ⊥ b
a ∥ b
∠1 ≅ ∠4
The missing statement in the proof is ∠1 ≅ ∠4.
Solution:
(1) Given ∠1 ≅ ∠2
(2) ∠1 and ∠4 are vertical angles.
Vertical angle theorem:
If two angles are vertically opposite then they are congruent.
By vertical angle theorem,
⇒ ∠1 ≅ ∠4
(3) Transitive property of congruence:
If A = B and B = C, then A = C.
From (1) and (2), ∠2 ≅ ∠4.
(4) If two lines and a transversal form congruent corresponding angles, then the lines are parallel.
Therefore line a || line b.
⇒ a || b.
Hence the missing statement in the proof is ∠1 ≅ ∠4.
The requried ratio of the mark let to the amount of money Fred had left is 3:4.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
mark an Fred had some money in the ratio 6:1. Mark gave half of his money to Fred.
Total proportion of money = 6 + 1 = 7,
Now,
assume that Mark has 6 coins and Fred has 1 coin,
Mark giving half of his coin to Fred means mark give 3 coins to fred,
Now,
Mark has 3 coins and Fred has 4 coins,
the ratio is given as
= 3 / 4
Thus, the requried ratio of the mark had left to the amount of money fred had left is 3:4.
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The height of tree is 32 meter
Solution:
Given that, The sun is at an angle of elevation of 58 degree
A tree casts a shadow 20 meters long on the ground
The sun, tree and shadow forms a right angled triangle
The figure is attached below
ABC is a right angled triangle
AC is the height of tree
AB is the length of shadow
AB = 20 meters
Angle of elevation, angle B = 58 degree
By definition of tan,
In this right angled triangle ABC,
opposite = AC and adjacent = AB
Therefore,
Thus height of tree is 32 meter