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vekshin1
3 years ago
14

A triangle has a side length of 19inches and a perimeter of 95inches. A similar triangle has a corresponding side length of 20in

ches. Find the perimeter of the larger triangle.
Mathematics
1 answer:
Rom4ik [11]3 years ago
4 0

Answer:

100 inches

Step-by-step explanation:

A triangle has a side length of 19inches and a perimeter of 95inches. A similar triangle has a corresponding side length of 20inches. Find the perimeter of the larger triangle.

This is calculated using proportion

Side length/Perimeter

Hence:

Side length of smaller triangle = 19 inches

Perimeter of smaller triangle = 95 inchee

Side length of larger triangle = 20 inches

Perimeter of larger triangle = x

19/95 = 20/x

Cross Multiply

19x = 95 × 20

x = 95 × 20/19

x = 100 inches

The perimeter of the larger triangle = 100 inches

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Which values for A and B will create infinitely many solutions for this system of equations? ax-y=8 2x+y=b
Nata [24]

Answer:

a = -2 , b = -8

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

  where a is the coefficient of x , b is the coefficient of y and

  c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

   solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

  a is the coefficient of x , b is the coefficient of y and c is the

  numerical term

* Lets solve the problem

∵ The system of equation is:

   ax - y = 8 ⇒ (1)

   2x + y = b ⇒ (2)

∵ The system create infinitely many solutions

∴ The lines are coincide

- The equations must be equal, then multiply equation(1) or (2) by -1 to

  make the coefficient of y in the two equations equal

∴ -ax + y = -8

∴ 2x + y = b

∵ Their coefficients of x are equal

∵ Their coefficients of y are equal

∵ Their numerical terms are equal

∵ The coefficient of x in equation (1) is -a and in equation (2) is 2

∴ -a = 2 ⇒ multiply both sides by -1

∴ a = 2

∵ The numerical term in equation (1) is -8 and in equation (2) is b

∴ b = -8

* The values for a and b will create infinitely many solutions are -2 , -8

5 0
3 years ago
‼️‼️‼️HELP HELP ASAP PLEASE AND THANK YOU AND DONT FORGET TO SHOW WORK ILL MARK YOU THE BRAINLIEST ‼️‼️‼️​
solniwko [45]

Answer:

1809.557368

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Simplify y-2/3/y+1/5
liberstina [14]

Answer:

\frac{15y-10}{15y-3}

Step-by-step explanation:

First at all, we need to use a=\frac{a}{1} to convert this expression into a fraction, like:

y-\frac{2}{3} to convert into \frac{y}{1} -\frac{2}{3}.

Expand the fraction to get the least common denominator, like

\frac{3y}{3*1}-\frac{2}{3}

Write all numerators above the common denominator, like this:

\frac{3y-2}{3}

The bottom one used the same way to became simplest form, like this:

y+\frac{1}{5}

\frac{y}{1} +\frac{1}{5}

\frac{5y}{5*1}+\frac{1}{5}

\frac{5y+1}{5}

And it became like this:

\frac{3y-2}{3}/\frac{5y+1}{5}

Now, we are going to simplify this complex fraction. We can use cross- multiply method to simplify this fraction.

\frac{3y-2}{3}*\frac{5y+1}{5}

3y-2(5) and 5y-1(3)

and it will becomes like this in function form:

\frac{3y-2(5)}{5y+1(3)}

Then, we should distribute 5 through the parenthesis

\frac{15y-10}{5y+1(3)}

\frac{15y-10}{15y+3}

And.... Here we go. That is the answer.

7 0
3 years ago
Find the percent of change from the first value to the second. 20 ; 80
Lemur [1.5K]

Answer:

Percent Change Formula: [(new - old)/old] * 100

Step-by-step explanation:

New - old

80 - 20 = 60

Difference between new - old divided by old

60/20 = 3

Previous quotient times 100

3*100 = 300

Percent Change is 300%

Check your answer

300% of 20 is 60

20 + 60 = 80

8 0
3 years ago
Read 2 more answers
In a normal distribution, 95% of the data fall within how many standard deviations of the mean? O A. Three standard deviations B
Galina-37 [17]

Answer:

Two standard deviations

Step-by-step explanation:

The Z score is obtained using the mean and standard deviation, according to the empirical. Rule, which gives percentage of values that lie within an interval estimate in a normal distribution ;

one standard deviation lie within 68% of the mean

Two standard deviations lie within 95%

Three standard deviations lie within 99.7%

Hence, for the question given, 95% fall within 2 standard deviations of the mean

4 0
2 years ago
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