Assuming you mean angle ABC and not 2ABC?
Since ray BD bisects angle ABC we can set the two angle measures given equal to each other.
2x+7=4x-41
Solve for x=24
Plug in the x to find angle ABD 2(24)+7=55
therefore angle ABD is 55 and angle DBC is 55 so angle ABC is 110
Hello! So Sophia cuts two pieces of ribbon that are different lengths and lines them up together. To find the total length of the two ribbons, let's add them up. Because there is no digit in the thousandths place, we'll fill that in with a zero. Now, let's add up the numbers. 9.281 + 7.740 = 17.021. There. The total length of the ribbons is 17.021 cm long.
Answer:
<h2>The segment FE is a tangent of the sphere.</h2>
Step-by-step explanation:
Obseve the sphere in the image attached.
Notice that point A is the center of the sphere. GD is the diameter, which means AG and AD are radius.
On the other hand, remember that a tangent is a line that intersects the figure at only one point, otherwise, it would be a secant.
Therefore, segment BC is a secant and segment FE is tangent.
So, the right answer is segment FE.
The distribution of the pants and the shirts illustrates probability
The probability that he winds up wearing the white shirt and tan pants is 1/8
<h3>How to determine the probability?</h3>
The number of shirts is given as:
Shirts = 4
The number of pants is given as:
Pants = 2
The probability that he winds up wearing the white shirt and tan pants is then calculated as:
P = P(White shirt) * P(tan pant)
This gives
P = 1/4 * 1/2
Evaluate the product
P = 1/8
Hence, the probability that he winds up wearing the white shirt and tan pants is 1/8
Read more about probability at:
brainly.com/question/251701
Answer:
x = 7.2m
Step-by-step explanation:
Because it is a right triangle, you can use the Pythagorean theorem:
4^2+6^2 = x^2
16+36 = x^2
52 = x^2
sqrt52 = x
7.2 = x
