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Mathematics

1 answer:

Alborosie3 years ago

7 0

Answer:

A circle is  always  similar to another circle, because we can  always  map one onto the other using only dilations and rigid transformations.

Put another way: we can stretch or compress any circle, and move it to another location, so that it matches up perfectly with any other circle. You can use similar triangles to help with the proof of this if you wanted. Right triangles might be the easiest to work with.

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A family spends 1⁄10 of its annual income for housing, 1⁄4 for food and clothing, 1⁄5 for general expenses, and 2⁄15 for enterta

tankabanditka [31]

In order to make the whole problem easier, you would have to get all the numbers to have the same denominator which would be 60.

1/10 * 6 = 6/60
1/4 * 15 = 15/60
1/5 * 12 = 12/60
2/15 * 4 = 8/60

Now that all the numbers have the same denominator, you would add them to get 41/60.
In conclusion, the answer would be D.

5 0

3 years ago

Trapezoid ABCD has an area of 525 cm squared. If height AB = 21 cm and BC = 37 cm, what is the measure of AD?

Annette [7]

Answer:

AD = 13

Step-by-step explanation:

Area of trapezoid ABCD

$= \frac{1}{2} (AB + AD) \times AB \\ \\ 525= \frac{1}{2} (37+ AD) \times21\\ \\ 525 \times 2= (37+ AD) \times21 \\ \\ 1050 = 21 \times 37 + 21AD \\ \\ 1050 = 777+ 21AD \\ \\ 21AD = 1050 - 777 \\ \\ 21AD = 273 \\ \\ AD = \frac{273}{21} \\ \\ AD = 13$