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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.
You might be interested in
What’s the answer to m/3-2m/5=1/5
natta225 [31]

Answer:

m = - 3

Step-by-step explanation:

\frac{m}{3} - \frac{2m}{5} = \frac{1}{5}

It is much easier to work with whole numbers, compared to fractions, hence one should remove the denominator of the fraction. This can be done by multiplying by the LCM (least common multiple). In this case, it is fairly obvious that the LCM of 3 and 5 is 15. Therefore multiply the entire equation by 15.

15*\frac{m}{3} - 15*\frac{2m}{5}=15*\frac{1}{5}

Simplify

5m-6m=3

-m=3\\m=-3

3 0
3 years ago
Angle a and b are supplementary angles. If m a = (x – 40)0 and m b = (x + 20)0, find the value of x, m a and m b
serious [3.7K]

Answer:

∠ a = 60° , ∠ b = 120°

Step-by-step explanation:

Supplementary angles sum to 180° then

x - 40 + x + 20 = 180 , that is

2x - 20 = 180 ( add 20 to both sides )

2x = 200 ( divide both sides by 2 )

x = 100

Then

∠ a = x - 40 = 100 - 40 = 60°

∠ b = x + 20 = 100 + 20 = 120°

5 0
3 years ago
Read 2 more answers
If PQRS is a rectangle, find the length of QT
MAVERICK [17]

Step-by-step explanation:

Since, opposite sides of a rectangle are equal and each angle is of 90°.

\therefore QP = RS = 14 cm

In \:\triangle QPS, \: \angle QPS = 90\degree

\therefore \: QS=  \sqrt{QP^2+ PS^2}   \\  \therefore \: QS=  \sqrt{(14)^2+ (20)^2 }  \\  \therefore \: QS=  \sqrt{196 + 400}  \\ \therefore \: QS=  \sqrt{596} \\ \therefore \: QS=  24.41 \: m

\because Diagonals of a rectangle bisects each other.

\therefore\: QT = \frac{1}{2} QS\\\therefore\: QT = \frac{1}{2} \times 24.41\\\therefore\: QT =12.205\\\huge\orange {\boxed {\therefore\: QT =12.21\:m}}

4 0
3 years ago
a football association team has 22 players each. association state that a player must be paid 15,000 and the total of all player
ioda

The highest wage a player can possibly earn is is mathematically given as

y=$285000

<h3>Maximum possible salary</h3>

Question Parameters:

a football association team has 22 players each.

association state that a player must be paid 15,000 and the total of all players cannot exceed 600,000

Therefore, we presume that the all 22 receives minimum wage

x=22*15000

x=330000

Hence, if one player is to earn the highest it will be

y=600000-(330000-15000)

y=285000

Hence highest wage a player can possibly earn is

y=$285000

For more information on Arithmetic

brainly.com/question/22568180

6 0
3 years ago
2. Tiangle ABC has vertices A(3, 3), B(2,-4), and c(0, 0). This triangle is rotated 90
Irina18 [472]
I pretty sure it (B) sorry if I’m wrong
5 0
3 years ago
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