BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B
For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.
Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.
Here are some examples:
Integers are positive and negative numbers, but dividing integers are dividing positive and negative numbers:
Remember these rules:
- Negative divided by a negative equals a positive.
- Negative divided by a positive equals a negative.
- Positive divided by a positive equals a positive .
Examples:
Hope this helps!
I think 710 is the answer
266+266+89+89= 710
Answer:
angle 1 and angle 2 are supplementary angles
Step-by-step explanation:
When the base of the angles forms a straight line, the sum of the angles is 180°. That's the definition of supplementary angles.
Complementary angles form a right angle. The sum of complementary angles is 90°
<em>A slightly silly way to remember Complementary angles: The two angles look at each other and compliment each other saying, "You look all right to me!"</em>
<em>"</em><em>Yes,</em><em> </em><em>we </em><em>are </em><em><u>so </u></em><em><u>right</u></em><em> </em><em>together</em><em>!</em><em>"</em>
<em>:</em><em>)</em>
The percentage of reduction is 17%
<u>Explanation:</u>
Original price = $21
Reduced price = $17.43
Percentage of reduction = ?
Difference in price = $21 - $17.43
= $3.57
Percentage of reduction = ![\frac{difference}{original} X 100](https://tex.z-dn.net/?f=%5Cfrac%7Bdifference%7D%7Boriginal%7D%20X%20100)
![= \frac{3.57}{21} X 100\\\\= 17](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B3.57%7D%7B21%7D%20X%20100%5C%5C%5C%5C%3D%2017)
Therefore, percentage of reduction is 17%