The leg of the isosceles triangle is two less than three times the length of its base. If the perimeter of the triangle is 45 m, find the length of a leg

Answers

Answer 1

Answer:

The length of the legs of this isosceles triangle is 19 meters.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know an isosceles triangle has two equal sides and their opposite angles are also equal.

Given, The leg of the isosceles triangle is two less than three times the length of its base.

Assuming the base to be x meter,

∴ The other two legs are (3x - 2).

The perimeter of the triangle is 45 m and we know it is the sum of the lengths of all the sides.

So, (3x - 2) + (3x - 2) + x = 45.

7x - 4 = 45.

7x = 49.

x = 7.

So, the length of the legs are (3.7 - 2) = 19 meters.

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Answer 2

Answer:

Answer:

19 m

Step-by-step explanation:

base=x

leg=3x-2

3x-2+3x-2+x=45

7x-4=45

7x=49

x=7

leg=3x+2=3(7)-2=19

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Y = 3x + 4y, x + 2y = -1 using substitution

Answers

Answer:

x = 1

y = -1

Step-by-step explanation:

y = 3x + 4y

3x + 3y = 0

So, we have 2 equations that are

3x + 3y = 0

x + 2y = -1

Times the second equation by -3

3x + 3y = 0

-3x - 6y = 3

-3y = 3

y = -1

Now put -1 in for y and solve for x

x + 2(-1) = -1

x - 2 = -1

x = 1

Let's check

1 + 2(-1) = -1

1 - 2 = -1

-1 = -1

So, x = 1 and y = -1 is the correct answer.

The answers should be x=1 and y=-1

Help me solve this question?tan(theta) = -3.4141

Find theta to the nearest degree in the interval 0° less than or equal to theta less than or equal to 360°

Answers

For this you're going to want to whip out your calculator.
make sure it is in degrees instead of radians
plug in tan^-1(-3.4141)
it should equal about -73.674
to change that to be between 0 and 360
360 - 73.674 ≈ 286.325

My mother is 12 years more than twice my age.after 8 years she will be 20 years less than three times my age...find my age and my mothers age Hi I would like you to tell me step by step how you did it (the equation) please

Answers

Hello,

m is the mother 's age
a is your age

My mother is 12 years more than twice my age. ==>m=2a+12 (1)

after 8 years she will be 20 years less than three times my age:

in 8 years: mother 's age=m+8
your new age: a+8

m+8=3*(a+8)-20 (2)

m=2a+12 (1)
(2a+12)+8=3*(a+8)-20 (for (2))
==>2a+20=3a+24-20
==>3a+4=2a+20
==>3a-2a=20-4
==>a=16 (your age )

m=2a+12=2*16+12=32+12=44

Proof: m=2a+12==>44=2*16+12
m+8=3(a+8)-20==>44+8=3(16+8)-20 ==>52=72-20

Johnathon can jog 3 2/5 miles in 7/8 hour. Find his average speed in miles per hour

Answers

We have to calculate the average speed if we know the distance and time that Johnatan can jog. The distanece: d = 3 2/5 miles = 3.4 miles. t = 7/8 hour = 0.875 h. Then we will use the formula for the average speed ( velocity ): v = d / t. v = 3.4 m / 0.875 h = 3.866 mph. Answer: The average speed is 3.866 mph.

How do you solve -x-x-x-x