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3 years ago

If three corresponding sides of one triangle are proportional to three sides of another, then the triangles are similar. always

Mathematics

2 answers:

pshichka [43]3 years ago

7 0

Answer: Always

Step-by-step explanation:

The SSS similarity postulate says that when two triangles have corresponding sides with equal ratios then the triangles are similar.

The given statement : If three corresponding sides of one triangle are proportional to three sides of another, then the triangles are similar.

It implies two triangles have corresponding sides with equal ratios .

Therefore by SSS similarity postulate, the triangles are always similar.

mezya [45]3 years ago

5 0

<span>If three sides are proportional their angles must be identical therefore they are always similar.</span>

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PLEASE HELP DUE TOMORROW 1. An artist is selling children’s crafts. Necklaces cost 2.25 each and bracelets cost 1.50 per each. a

Tems11 [23]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost per bracelet = 1.50

Cost per necklace = 2.25

Let :

number of necklace = n

Number of bracelet = b

Cost equation C ;

C = 1.5b + 2.25n

Number of necklace that could be sold for exactly $12

5 necklaces and 1 bracelet :

1.5 + 2.25(5) = 12.75

•2 necklaces and 5 bracelets:

1.5(5) + 2.25(2) = 12

• 3 necklaces and 3 bracelets

1.5(3) + 2.25(3) = 11.25

• 4 necklaces and 2 bracelets

1.5(2) + 2.25(4) = 12

• 3 necklaces and 5 bracelets

1.5(5) + 2.25(3) = 14.25

• 6 necklaces and no bracelets •

1.5(0) + 2.25(6) = 13.5

No necklaces and 8 bracelets

1.5(8) + 2.25(0) = 12

Amount charged per Tshirt = c

Setup fee = $40

Number of students in drama club = 21

Total cost of order = $187

Calculate C ;

Total order cost = set up fee + (cost per shirt * number of shirts)

Total order cost = 40 + 21c

187 = 40 + 21c

187 - 40 = 21c

147 = 21c

c = 147 / 21

C = 7

Hence cost per shirt = $7

5 0

2 years ago

A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide it in half with a fence paral

denis23 [38]

Answer:

F = 3x +(2.7×10^7)/x

Step-by-step explanation:

The formulas for area and perimeter of a rectangle can be used to find the desired function.

The area of the rectangle will be the product of its dimensions:

A = LW

Using the given values, we have ...

13.5×10^6 = xy

Solving for y gives ...

y = (13.5×10^6)/x

<h3>Perimeter</h3>

The perimeter of the rectangle is the sum of the side lengths:

P = 2(L+W) = 2(x+y)

<h3>Fence length</h3>

The total amount of fence required is the perimeter plus one more section that is x feet long.

F = 2(x +y) +x = 3x +2y

Substituting for y, we have a function of x:

F = 3x +(2.7×10^7)/x

<em>Additional comment</em>

The length of fence required is minimized for x=3000. The overall size of that fenced area is x=3000 ft by y=4500 ft. Each half is 3000 ft by 2250 ft. Half of the total 18000 ft of fence is used for each of the perpendicular directions: 3x=2y=9000 ft.

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1 year ago

Help plz

Natalka [10]

Answer:

(4, 3)

Step-by-step explanation:

Since, A (-4, 3) is reflected across the y-axis to obtain point B.

Therefore, y coordinate remains the same, x coordinate flips over the y axis to be positive.

(-4,3) ==>> (4,3)

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2 years ago

Can someone help pls omg

hodyreva [135]

Answer:

see explanation

Step-by-step explanation:

Sum the sides of both polygons and equate.

(20)

x + 4 + x + 2 + x + 5 = 2(x + 1) + 2(x + 3) ← distribute parenthesis

3x + 11 = 2x + 2 + 2x + 6

3x + 11 = 4x + 8 ( subtract 3x from both sides )

11 = x + 8 ( subtract 8 from both sides )

3 = x

(21)

5(12x) = x + 7 + 6x + 9 + x + 10

60x = 8x + 26 ( subtract 8x from both sides )

52x = 26 ( divide both sides by 52 )

x = $\frac{26}{52}$ = $\frac{1}{2}$

4 0

2 years ago

Hello I’m trying to solve this problem I just don’t know how to do it.

Katyanochek1 [597]

Step-by-step explanation:

To evaluate the proposed, the comprehension of linear data is required,

Slope: The rise/run or the accumulative unit distance between two differentiated points on a linear.

X-intercept: The peculiar point in which the observed linear data intersects the x-axis.

Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.

1. To solve the following systems, first convert the Slope-Intercept formatting to Standard (General) form:

y = -5/3x + 3

3(Y = -5/3x + 3) Product by the denominator to eliminate the fraction.

3y = -5x + 9. Add 5x to the other expression as in standard form, the slope must be positive.

5x + 3y = 9 <== Standard (General) Form.

Y = 1/3x - 3

3(y = 1/3x - 3). Product by the denominator to eliminate the fraction.

3y = x - 9. Subtract by x to place the slope within the other expression of the equation.

-1(-x + 3y = -9). Now, product by -1 to contribute to a positive slope.

X - 3y = 9 <=== Standard (General) Form.

2. To solve for the x and y values, utilize the system of substitution:

1(5x + 3y = 9)Multiply equations by opposite slope to the other, and a positive to other.

-5(X - 3y = 9)

Evaluate,

+ 5x + 3y = 9. Now, add the systems.

-5x + 15y = -45

——————————

18y = -36

Y = -2

Thus, now that y is equated to -2, substitute that to either equation.

X - 3y = 9

X - 3(-2) = 9

X + 6 = 9

X = 3

Thus, x = 3, y = -2. This is their intersection point.

To plot these lines on the graph, execute the following,

Y = -5/3 x + 3

Start with the y-intercept. Draw a point on number 3 on the y-axis (vertical).

Starting with that point, go down 5 units, right 3 units.

* Remember, if there is a negative rise, go down. Positive, go up. If there is a negative run, go left. Positive, go right.

* Keep going 5 units down, right 3 units, until the graph allows.

2. Y = 1/3 x - 3

Similarly, conduct the same steps:

Starting with the y-intercept, draw a point on -3 on the vertical, or y-axis.

Beginning on that point, go up 1 unit, right 3 units.

Keep going up 1 units and 3 units right until the graph permits.

*I hope this helps.

3 0

2 years ago