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nignag [31]
3 years ago
6

Random list of rational numbers

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0

1/3, 2/4, 1/5, 9/3, etc....

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A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marin
eduard

The location of the treasure on the treasure map is (b) (7.6,8.8)

The ratio is given as:

m : n = 5 : 9

The coordinates of the rock and the tree are:

Rock =(3,2)

Tree = (16,21)

The x and y coordinates of the location of the treasure are:

(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

So, we have:

(x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})

(x,y) = (\frac{107}{14},\frac{123}{14})

(x,y) = (7.6,8.8)

Hence, the location of the treasure is (b) (7.6,8.8)

Read more about line segment ratios at:

brainly.com/question/14382744

5 0
3 years ago
Read 2 more answers
Fill in the missing reason in the proof. Help plss
Nostrana [21]

The missing reason in the proof is SAS -side angle side postulate

<h3>How to find the missing proof in congruent triangles</h3>

A triangle is said to be congruent if the sides and angles are similar. The notations are explained as follows:

Using two triangles say AA and BB as instance

SAS : side angle side: this means that the two sides  of triangle AA is equal to the two sides of triangle BB. For the angle it should be the angle between the two equal sides, that is to say the angle where the two sides intersect.

This is the correct option for the question asked given that

line AB ≅ AC ( first statement )  = Side

< B ≅ < D ( fourth statement ) = Angle

line BD ≅ CD ( third statement )  = Side

This represents the side angle side postulate which is one of the postulates required to prove that triangles are equal

Read more on angle postulate here: brainly.com/question/3999145

#SPJ1

7 0
1 year ago
Solve the equation, if possible. (If all real numbers are solutions, enter REALS. If there is no solution, enter NO SOLUTION.) x
UkoKoshka [18]

Answer:

REALS. all real numbers are solution for the equation

Step-by-step explanation:

for the equation

x² = (x + 3)*(x − 3) + 9

distributing the terms in the parenthesis

x² = (x + 3)*(x − 3) + 9  = [x² - 3*x + 3*x - 3*3 ] + 9

x² = x² - 9 + 9

0 = 0

since this statement will be true regardless of the value of x , then the equation has solution for all real numbers .

6 0
4 years ago
The length and breadth of a rectangular playground are 110m and 90m. Find the ratio of:
boyakko [2]

The length and breadth of a rectangular playground are 110m and 90m.

(a) Ratio of length to perimeter = 11 : 40

(b) Ratio of breath to perimeter = 9 : 40

<u>Solution: </u>

Given that length of play ground = 110 m

And breadth of playground = 90 m

Need to determine ration of (a) length to perimeter and (b) perimeter to breadth

Lets first calculate perimeter of rectangular playground

<em>Perimeter of Rectangle = 2(length + breadth )  </em>

=> Perimeter of Rectangular playground = 2(110 + 90) = 400 square meter

Now substituting values in ratio we get,

(a) Ratio of length to perimeter = 110 : 400 = 11 : 40

(b) Ratio of breath to perimeter = 90 : 400 = 9 : 40

3 0
3 years ago
What is the inverse of the following conditional?
GuDViN [60]

Answer:

if a pizza does have mushrooms, then Eric is not ordering it.

Step-by-step explanation:

just chqnge the words around if it already is halfway done just switch the words.

8 0
3 years ago
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