C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
9514 1404 393
Answer:
(3) h < k
Step-by-step explanation:
In this form, h represents the amount by which the square root function is translated to the left (3), and k represents the amount of translation upward (4).
The appropriate relation is ...
3 < 4
h < k
The interior angel to ∠7 is the angel ∠4
because ∠7 + ∠4 = 180°
The correct choice is number 1
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Answer:
x = 21
General Formulas and Concepts:
<u>Geometry</u>
- Corresponding Angles - Angles that are congruent to each other and occur with parallel lines
Step-by-step explanation:
<u>Step 1: Identify</u>
We see that the measures given are Corresponding Angles
<u>Step 2: Solve for </u><em><u>x</u></em>
- Set up equation: 8x - 7 = 9x - 28
- Subtract 8x on both sides: -7 = x - 28
- Add 28 on both sides: 21 = x
- Rewrite: x = 21
Therefore, the answer to what divided by 6 equals 7 is 42. You can prove this by taking 42 and dividing it by 6, and you will see that the answer is 7. Tip: For future reference, when you are presented with a problem like "What divided by 6 equals 7?", all you have to do is multiply the two known numbers together.