The angle between the two tangents drawn from an external point to a circle and the angle subtended by the line segment joining the points of the contact at the Centre are supplymentary,
So,
15.) let the unknown angle be x
=》x + 55° = 180°
=》x = 180° - 55°
=》
16. let the unknown angle be n
=》n + 80° = 180°
=》n = 180° - 80°
=》
Answer:
B
Step-by-step explanation:
3x + 5 = 29
3x = 24
x = 8
Answer:
2) 26
Step-by-step explanation:
The first thing to paint is to divide it into three parts, like this:
1st part:
Room A can be painted orange, red or green.
Therefore, we have 3 ways to do it.
2nd part:
Room B can be painted orange, white or red.
Therefore, we have 3 ways to do it.
3rd part:
Room C can be painted white, red or green.
Therefore, we have 3 ways to do it.
To know the total number, each part must be multiplied, that is:
3 * 3 * 3 = 27
However, some of these 27 possible results break the condition that the 3 rooms cannot be painted the same color, that only happens when the three rooms are painted red.
Therefore, the number of times would be:
27 - 1 = 26
<h2>
Hello!</h2>
The answer is:
Garyn would plant the garden by himself in 6 hours.
<h2>Why?</h2>
From the statement, we know that Frankie can plant a garden by herself in 10 hours, but with her son's help(Garyn), they are able to do it in 4 hours.
If they are able to do the work in just 4 hours, it means that that they are able to do it in 6 hours less than Frankie working alone.
Then, let be 10 hours, the Frankie's rate "x" and the Garyn's rate "y", so:
If x is equal to 10:
So, Garyn would plant the garden by himself in 6 hours.
Have a nice day!
Answer:
6 3/4 (six and three fourths)
Step-by-step explanation:
First, we must turn 4 6/7 into an improper fraction, AKA 28/7. Now, you can't subtract 1/4 from 28/7, can you? So what you need to do is find the greatest common factor of 4 and 7. The GCF would be 28 (7 x 4 = 28, 4 x 7 = 28).
Now we know that the GCF is 28, we can turn the numbers into 28/28 and 1/28. But wait! We aren't done yet. Now we have to change the numerators. Since you multiplied the denominator (7) by 4 to get 28, you must now multiply 28 by 4 as well. (If you do something to the bottom, you have to do it to the top!) Because of this, we are now at 196/28.
Next, we must do the numerator of 1/28. Since we multiplied the denominator (4) by 7 to get 28, we must now multiply 1 by 7. This gets you to 7/28.
It's finally time to subtract. 196 - 7 is 184, so we are at 184/28. But hey, that's an improper fraction! You have to simplify. 184 divided by 28 is 6.75. 0.75 is 3/4 when turned into a fraction.
Mash 6 and 3/4 together, and you've got your answer! 6 3/4.