Answer: Choice A
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Explanation:
The order of the lettering of GFHE and TRQS is important.
This is because the letters of each pair up together
- G pairs with T (first letters)
- F pairs with R (second letters)
- H pairs with Q (third letters)
- E pairs with S (fourth letters)
Because the figures are similar, the paired angles are congruent. So we can say
In terms of a visual confirmation, angles F and R are located in the bottom left corner. So this helps back up the answer. Though keep in mind that often the diagrams are misleading and not drawn to scale. So we can't always rely solely on the diagram.
You can solve by using the pythagorean theorem. If you are given a right triangle, you should have two sides given, and one side missing. The diagonal side is called the hypotnuse, and it's the only side that is important with keeping to the same variable. The pythagorean theorem is:
a²+b²=c². C is ALWAYS the hypotnuse.
If you are given one leg of the triangle and the hypotnuse, you can plug the leg into EITHER a or b and the hypotnuse in ONLY c. Then you can solve for the other variable. If you are given both legs and asked to find the hypotnuse, you can plug both legs into a and b and then solve for C. Remember that each variable is squared, so if you are solving for C or another side, you need to take the square root to get the variable alone.
Given:
A rectangular greeting card uses a geometric design containing 4 congruent kites.
Consider the below figure attached with this question.
Length of card = 8 inches
Width of card = 4 inches
To find:
The area of one kite.
Solution:
The kites are connected to each other as shown below.
The length of a kite is:
inches
The width of a kite is:
inches
Area of a kite is:
Where, are diagonals of the kite.
Length and width of a kite are 4 inches and 2 inches respectively. So, the diagonals of a kite are 4 inches and 2 inches.
Using the above formula, we get
The area of a kite is 4 sq. in.
Therefore, the correct option is A.
Answer:
5. 10.1442
Step-by-step explanation:
Answer:
D
Step-by-step explanation: