Answer:
∠ A ≅ ∠ E
∠ K = 60°
Step-by-step explanation:
Part 1.
Given that ABCD ≅ EFGH.
Whenever a quadrilateral is congruent to another, and we write the congruency in symbol, then the order of congruency with respect to angles and sides are maintained in the symbol.
That means if ABCD ≅ EFGH, then ∠ A ≅ ∠ E, ∠ B ≅ ∠ F and so on.
Therefore, in this case, ∠ A ≅ ∠ E (Answer) {It is also shown in the diagrams}
Part 2.
Given that, Δ EFG ≅ Δ KLM
Hence, ∠ E ≅ ∠K, ∠ F ≅ ∠ L, and ∠ G ≅ ∠ M
It is also given that ∠ F = 35° and ∠ G = 85°
So, ∠ E = 180° - ∠ F - ∠ G = 180° - 85° - 35° = 60°
Since, ∠ E = ∠ K,
So, ∠ K = 60°. (Answer)
Step-by-step explanation:
It is given that,
The height of the sail on a boat is 7 feet less than 3 times the length of its base.
Let the length of the base is x.
ATQ,
Height = (3x-7)
Area of the sail is 68 square feet.
Formula for area is given by :
x = 8 feet and x = -3.73 feet
So, length is 8 feet
Height is 3(8)-7 = 17 feet.
So, its height and the length of the base is 17 feet and 8 feet respectively.
Answer:
The inequality that can be used to determine the number of guitar lessons Gale could take using her birthday money is:
The solution to the inequality is:
She can take at most, 6 guitar lessons
Step-by-step explanation:
Total amount Gale received is $200
For rental equipment, she paid $50
Each guitar lesson will cost $25
Let x represent the number of lessons she could take, then the total amount she will spend must bot exceed $200
The guitar lesson will cost a total of 25x
So, her total spending will be:
This must be at most $200
Solving the above inequality:
First choice
Explanation: how many letter? 6
How many “M” ? 1
How many not M ? 6-1= 5
So the answer 5/6
19/57 is the greatest fraction out of them.