Answer:
The triangle ABC have a 90 degree angle, therefore the acute angles in A and B are complementary, if you add them the result is equal to 90 degree.
Step-by-step explanation:
Supplementary angles are the angles that you can add and the result will be equal to 180 degrees. While the complementary angles are the ones that the addition result is 90 degrees. From your figure the addition of the angles ADC and BDC should be 180, therefore they are supplementary angles, while angles A and B are complementary, their sum should be 90.
Answer:
40ft.
Step-by-step explanation:
All sides have to equal the same amount.
10 times 10 is 100! If all sides are equal to 10, 10+10+10+10 is 40.
If the area of the square garden is 100ft^2, the perimeter is 40ft.
Answer:
If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 15
Standard Deviation, σ = 1
Sample size = 4
Total lifetime of 4 batteries = 40 hours
We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling:
We have to find the value of x such that the probability is 0.05
P(X > x) = 0.05
Calculation the value from standard normal z table, we have,
Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.
The circumcenter is found by finding the intersection of at least 2 perpendicular bisector segments.
Find the perpendicular bisector to segment AB. This is the line y = -3.5; the idea is that you find the equation of the horizontal line through the midpoint of AB. The midpoint has a y coordinate of -3.5. This line is shown in red horizontal line in the attached image below.
The midpoint of AC is 2.5, so the perpendicular bisector to AC is x = 2.5 which is shown as the vertical green line in the same diagram.
The red and green lines cross at the location (2.5, -3.5) which is the circumcenter's location. If you were to draw a circle through all three points A, B, & C, then this circle would be centered at (2.5, -3.5)
If point D is the circumcenter, then we know this
AD = BD = CD
basically the distance from the center to any point on the triangle is the same. This is due to the fact that all radii of the same circle are the same length.
<h3>Answer: (2.5, -3.5)</h3>
note: 2.5 in fraction form is 5/2 while -3.5 in fraction form is -7/2
Hey There!!
Your best answer will be A.
Step-by-step explanation:
Because, The SAS stands for Side Angle Side if you need two sides and then the angle needs to be between them.
The first one works because the angle is in-between the 2 sides. The second one really doesn't work very well. Because, It actually have 2 angles and it only need one. Well, The third one it doesn't work because the angle isn't between from both sides. The fourth one doesn't work at all they are only sides and no angles. Hope This helps <3!!