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dem82 [27]
3 years ago
12

Suppose you have 3 pieces of string measuring 6 inches, 9 inches, and 12 inches. How many unique triangles can you form with the

se pieces of string?
A. 0
B. 1
C. 2
D. Infinitely many
Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0
Let
x=12 in------------- > the longest of the three sides
y=6 in
z= 9 in
if x< (y+z)----------- > one unique triangle <span>can be made
if x> (y+z)----------- > </span><span>no triangle can be made
</span>This is a Triangle Inequality Theorem
therefore
x=12
(y+z)=15
12<15------------ >one unique triangle can be made

the answer is the option <span>B. 1</span>
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If you can, answer at least 2 question I put 10 points on it
igomit [66]

Answer:

a) one solution(x = 9)

b) no solution

c) infinite solutions

Step-by-step explanation:

a) To solve this equation, we can add 4 on both sides in order to isolate x:

x - 4 =5

+ 4     + 4

x = 9

Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.

b) We start by subtracting 2x from both sides to combine the variable terms:

2x - 6 = 2x + 5

-2x         -2x

-6 = 5

The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.

c) We can start by subtracting 3x from both sides to combine the terms with x:

3x + 12 = 3x + 12

-3x          -3x

12 = 12

The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.

8 0
3 years ago
A map has a scale of 1:200000 How far is it from Belfast to Larne in Km if the distance on the map is 7.8cm
vivado [14]

Answer:

15.6km

Step-by-step explanation:

Given the map scale 1:200000

1cm on the map represents 200000 cm on ground or in actual distance

Hence, if distance from Belfast to Larne is 7.8vm on map ;

Actual distance will be :

7.8 * 200000 = 1560000 cm

Converting to km :

Recall :

1000 m = 1km

100 cm = 1 m

Hence,

100000 cm = 1km

Therefore, (1560000 / 100000) km

= 15.6km

Hence, distance between Belfast and Larne is 15.6km

6 0
3 years ago
Write the equation that describes the line in slope-intercept form: slope= 4, point (3,-2) is on the line
docker41 [41]
Slope intercept form is y=mx+b
m=slope
b=y intercept

slope is 4
y=4x+b
subsitute if iin (x,y) form
so x=3 and y=-2 is one solution
subsitute
-2=4 times 3+b
-2=12+b
subtract 12 from both sids
-14=b

the equation is y=4x-14
8 0
4 years ago
Natalia is making gift bags for her son's birthday party. Each bag costs $3.24 to make and she needs to make 15 bags. How much w
Elden [556K]
The answer is $48.60 you just have to multiply the amount of bags times the cost of each bag to get your amount so
15 x 3.24 =48.60
3 0
3 years ago
Read 2 more answers
Please help me thank u so much
alex41 [277]

Answer:

28/5= 5 3/5 15/7= 2 1/7 21/4=5 1/4

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
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