What is the sum of two numbers is 40 and their difference is 10
1 answer:
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We can see that both triangles are right angle triangle as per information given into picture. So we will prove that they are similar then use properties of similar triangle to find the value of d.
In triangle STV and triangle XWV:
∠STV = ∠XWV { both are equal to 90 degree}
∠TVS = ∠WVX { vertically opposite angles are equal}
Hence by AA (Angle Angle) similarity postulate of the triangles, It is proved that triangle STV and triangle XWV are similar.
We know that ratio of corresponding sides of similar triangles are equal so we can write:
350*180=400d
63000=400d
divide both side by 400
157.5=d
Hence final answer is d=157.5 m.
Answer:
The solution set can be given as:
Step-by-step explanation:
Given function:
To find the domain of the function in set notation.
Solution:
For the function to exist the denominator must be ≠ 0
We have the denominator which cannot be = 0.
Thus, we can find the domain of the function using the above relation.
The function will not exist when:
Solving for
Subtracting both sides by 6.
Dividing both sides by 2.
∴
Thus, the function will not exist at . This means it has all real number solutions except -3.
The solution set can be given as: