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ki77a [65]
4 years ago
13

$\triangle abc$ and $\triangle dbc$ share $bc$. $ab = 5\ \text{cm}$, $ac = 12\ \text{cm}$, $dc = 8\ \text{cm}$, and $bd = 20\ \t

ext{cm}$. what is the least possible integral number of centimeters in $bc$?
Mathematics
1 answer:
Ratling [72]4 years ago
6 0
What terms govern the length of this side?The basic rule of the triangle.First side length must be less than the sum of the other two sides.So to find X we must take the largest side of the triangles and compare them with amounts from other sides.

5+x>12
8+x>20    and it's system

x>7
x>12
general solution is x>12
<span>The least possible integral is 13.

PS: It's may be </span>yet 12, but in this case, triangle  BCD become segment.
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Which congruence theorems or postulates could be given as reasons why ABC =XYZ HELP !!!!
lara31 [8.8K]
Answers: 
A) SAS
B) ASA
E) LL

============================================================

Explanation:

Let's go through each possible answer choice

A. We can use SAS because we know that AC = XZ (horizontal sides) is one pair of congruent sides, the angle pairing is C = Z, and the other pair of sides is BC = YZ (vertical sides)

B. We can also use ASA. Note how A = X is one pair of angles, AC = XZ is the middle pair of sides, and C = Z is the second pair of angles. The side is between the angles.

C. We can't use SSS as we don't know AB = XY is true or not. There are no tick marks indicating congruence.

D. We can't use LA here because we don't know the altitudes (LA = leg altitude)

E. We can use LL here because we have two right triangles. The two pairs of legs (AC = XZ and BC = YZ) are congruent based on the tickmarks.

F. We can't use HL similar to the reasoning for choice C. We don't know the hypotenuses are congruent or not. If we knew that AB = XY, then we could use HL (hypotenuse leg).


4 0
4 years ago
Read 2 more answers
Please help me figure this out !!?
Alenkinab [10]
Tangent ∠ = opposite / adjacent 
Tan (D) = 24/7 (Answer)
6 0
3 years ago
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In mid-day meal scheme 1/ 10 litre of milk is given to each student of a primary school. If 30 litres of milk are distributed ev
nirvana33 [79]

Answer:

300 students

Step-by-step explanation:

To know the number of students, we must divide the total amount of milk spent by the amount spent for each and in this way we will obtain the value we are looking for, like this (both have the same units of L, so there is no problem ):

30 / (1/10) = 300

that is to say that there are a total of 300 students

5 0
4 years ago
The diameter of a circle is 5.3 cm. What is the circumference
Julli [10]

Answer:

16.642cm

Step-by-step explanation:

Diameter of a circle = 5.3cm

Circumference of a circle = π(d)

                                          = π x 5.3

                                          = 3.14 x 5.3

                                          = 16.642cm

7 0
3 years ago
The parallelogram shown below has an area of 727272 units^2 2 squared. Find the missing height.
ivolga24 [154]

Answer:

12 units

Step-by-step explanation:

Allow me to revise your questions for a better understanding and I hope it will fit the original one.

7 0
3 years ago
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