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jeka94
3 years ago
11

How many triangles can be constructed with side lengths 5, 7, and 15?

Mathematics
2 answers:
IrinaVladis [17]3 years ago
5 0
More than ne triangle
vovangra [49]3 years ago
3 0
More than one if side lengths can be repeated.

Ex. 5, 5, 5 and 7, 7, 7 

If you have to use those 3 then NONE because 5+7<15
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Geometry: complete this proof, ASAP!!!
Tresset [83]

Answer:

By definition, angles A and 1 are corresponding angles and angles B and 1 are consecutive angles. By the corresponding angles postulate, angles A and 1 are congruent, and by the consecutive angles theorem, angles B and 1 are supplementary. By the definition of supplementary angles, measures of angle B and 1 add up to 180 degrees (m<B + m<1 = 180). By definition of congruent angles, angles A and 1 have same measurement (m<A = m<1). By substitution property of equality, measures of angles A and B add up to 180 degrees (m<A + m<B = 180). By definition of supplementary angles, angles A and B are supplementary.

3 0
1 year ago
in a window display at a flower shop, there are 3 spots for 1 plant each. to fill these 3 spots, adam has 7 plants to select fro
Andrej [43]

Answer: 210

Step-by-step explanation:

We know that the number of combinations of n things taken r at a time is given by :-

C(n,r)=\dfrac{n!}{r!(n-r)!}

So, number of ways to select 3 plants out of 7 = C(7,3)=\dfrac{7!}{3!4!}=\dfrac{7\times6\times5\times4!}{6\times 4!}=7\times5=35

Also number of ways to arrange them in 3 positions = 3! = 6

Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)

= 35 x 6

=210

Hence, required number of ways = 210

5 0
2 years ago
mitt are 24 peanuts. This represents 75 present of the bag peanut.how many peanut were originally in the bag.
In-s [12.5K]
Let x be the number of peanuts originally in the bag.

24/x = 75/100

24 = .75x

x = 32

There were 32 peanuts originally in the bag
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3 years ago
Need help with this asap
dem82 [27]

Answer:

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