Answer:
25
Step-by-step explanation:
The length of AD is 32 feet
Step-by-step explanation:
An architect is sketching a blueprint of a patio for a new fence
- On the blueprint, C is the midpoint of segment AD
- Point B is the midpoint of segment AC
- BC = 8 feet
We need to find the length of AD
A mid-point divides a line segments into two equal parts in length
∵ C is the mid-point of AD
- The mid-point C divides the line segments AD into two equal parts
∴ AC = CD
∵ B is the mid point of AC
∴ AB = BC
∵ BC = 8 feet
∴ AB = 8 feet
- AC contains AB and BC
∵ AC = AB + BC
∴ AC = 8 + 8 = 16
∵ AC = CD
∵ AC = 16
∴ CD = 16
- AD contains AC and CD
∵ AD = AC + CD
∴ AD = 16 + 16 = 32
The length of AD is 32 feet
Learn more:
You can learn more about the mid-point in brainly.com/question/3269852
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For the triangle, x is 12 units long.
Step-by-step explanation:
Step 1:
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The hypotenuse is the side which is the longest in the triangle and is always opposite the right angle.
In the given triangle, the hypotenuse is 13 units long. The other two sides measure 5 units and x units.
Step 2:
By substituting the known values, we get



Rounding this off to the nearest hundred, we get that x is 12 units long.
When leading coefficient is 1 , the root will be an integer for g(x) = 0
Option 4 is the right answer.
<h3>What is a Polynomial Function ?</h3>
Functions of independent variable in which the variable can appear more than once with different powers.

Let this represents the polynomial function
where 
Then the according to rational root theorem ,
The root of the function is given by

So when leading coefficient is 1 , the root will be an integer for g(x) = 0
Option 4 is the right answer.
To know more about Polynomial function
brainly.com/question/12976257
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Answer:
40 Stamps
Step-by-step explanation:
According to the scenario, given data are as follows,
Total stamp collected = 343
Stamps from Germany = 296
To estimate the stamps from other contact, we first round off the given number of stamps.
So, Total stamp collected = 340 ( Rounded off)
Stamps from Germany = 300 ( Rounded off)
So, Stamps from other contact = 340 - 300 = 40 stamps