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marta [7]
2 years ago
13

Six times Jason's collection of books and one-third of Nathan's collection add up to 134 books. One-third of Jason's collection

and Nathan's entire collection add up to 31 books.
Mathematics
1 answer:
zimovet [89]2 years ago
7 0

Answer:

j = 21 and n = 14

Step-by-step explanation:

we have the equations:

6j + n/3 = 134

j/3 + n = 31

54j + 3n = 1206

j + 3n = 93

53j = 1113

j = 21

(21)/3 + n = 31

7 + n = 31

n = 14

please mark brainliest :)

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You and your friend are standing back-to-back. Your friend runs 16 feet forward and then 12 feet right. At the same time, you ru
Anika [276]
16-12=4ft long 9-12=3ft 4+3=7ft         7 feet long
4 0
2 years ago
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If triangle LMN has an obtuse angle at vertex M, which statements could be true? Check all that apply.
nirvana33 [79]

Answer: Triangle LMN is an obtuse triangle.

The angle at vertex L is acute.

The angle at vertex N is acute.

Step-by-step explanation:

Here,  triangle LMN has an obtuse angle at vertex M,

Thus, by the definition of obtuse angle triangle LMN is an obtuse triangle,

Now, Angle M is obtuse,

⇒ 90° < m∠ M < 180°

Since, by the property of a triangle,

m∠ L + m∠ M + m∠ N = 180°

⇒  m∠ M = 180° - ( m∠ L+ m∠ N )

⇒ 90° < 180° - ( m∠ L+ m∠ N ) < 180°

⇒ 90° - 180° < - ( m∠ L+ m∠ N ) < 0

⇒ -90° < - ( m∠ L+ m∠ N ) < 0

⇒ 90° >  ( m∠ L+ m∠ N ) > 0      ( Since, a < b ⇒ - a > - b)

⇒ 90° > m∠ L and 90° > m∠ N

⇒ Both angle L and angle N are acute.

5 0
2 years ago
Read 2 more answers
What type of triangle has side lengths of 4√5, √145 and 19?
Masja [62]

a, b, c - side lengths (a ≤ b ≤ c)

If a^2+b^2 < c^2, then is Obtuse triangle.

If a^2+b^2=c^2, then is Right triangle.

If a^2+b^2 > c^2, then Acute triangle.

a=4\sqrt5,\ b=\sqrt{145},\ c=19\to a < b < c

Check to see if the sum of the first two sides is greater than the third.

a+b=4\sqrt5+\sqrt{145}\approx9+12=21 > 19=c\\\\CORRECT

a\neq b\neq c\neq a, therefore is Scalene triangle.

a^2=(4\sqrt5)^2=4^2(\sqrt5)^2=16(5)=80\\\\b^2=(\sqrt{145})^2=145\\\\c^2=19^2=361\\\\a^2+b^2=80+145=225 < 361=c^2\\\\a^2+b^2 < c^2

It's Obtuse triangle.

5 0
2 years ago
In how many ways can you put seven marbles in different colors into two jars? Note that the jars may be empty.
ahrayia [7]

Answer:

128

Step-by-step explanation:

You have two jars and seven marbles.

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3 0
2 years ago
Hikers came across a part of a redwood stump. If the length of the chord is 8 feet, what was the diameter of the tree?
erastova [34]
So in the problem, the length of the chord there is the circumference of the tree. So in order to get the diameter of the tree, we must use the formula in getting the circumference of a circle that is stated as follows. 

C = 2pi *Radius

so first we need the get the radius of the tree which represent by this formula:

Radius = C /2pi = 8/6.2832 = 1.2732 ft 
Diameter = 2*radius = 2 * 1.27 32 = 2.5465 feet 

In summary, the diameter of the tree is 2.565 feet. 


7 0
2 years ago
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