The triangle shown at the right is isosceles that is it has two sides equal length the third side is 30 m shorter than twice the length of each congruent side the perimeter is 570 find the length of each side
Final Answer:
2(x−15)
Step 1: Translate the problem into a system of equations
We are given that the triangle is isosceles, meaning two sides have the same length. Let's call this length x. The third side is 30 meters shorter than twice the length of each congruent side, so it has a length of 2x−30. The perimeter of the triangle is the sum of all three side lengths, which is equal to 570 meters.
Therefore, we can set up the following equation:
x+x+(2x−30)=570
Step 2: Solve the system of equations
Combining like terms, we get:
4x−30=570
Adding 30 to both sides, we get:
4x=600
Dividing both sides by 4, we get:
x=150
Step 3: Find the side lengths
Now that we know the value of x, we can find the lengths of all three sides:
The first and second sides have a length of x, which is 150 meters each.
The third side has a length of 2x−30, which is 2(150) - 30 = 270 meters.
Answer:
The lengths of the sides of the triangle are:
First side: 150 meters
Second side: 150 meters
Third side: 270 meters
Final Answer:
2(x−15)
The probbale question can be: The triangle shown at the right is isosceles. That is, it has two sides of an equal length. The third side is 30 m shorter than twice the length of each congruent side. The perimeter is 570 m. Find the length of each side.
R 10 m; 6 m; 9 m
X
X
2x - 30'
4\5 + 3 1\10 Enter the sum in the box as a mixed number in simplest form.
The area of a circle is 78.5 cm2. What is the diameter of the circle?
can someone show me step by step this one too? it says I have to solve for the indicated variable plz help
Alaina sugar cookie recipe calls for 2 1/4 cups of flour per batch if she wants to make 2 /3 a batch of cookies how much flour should she use
Answer:
Alaina will require 1.5 cups of flour to make [tex]\frac{2}{3}[/tex] batches of cookies.
Step-by-step explanation:
We are given the following information in the question:
Amount of flour required per batch of cookies =
[tex]2\displaystyle\frac{1}{4}\text{ cups}[/tex]
Number of batches of cookies Alaina wants to make = [tex]\displaystyle\frac{2}{3}[/tex]
Formula:
[tex]\text{Flour required} = \text{Flour required to make 1 batch of cookies}\times \text{Number of batches}\\\\=2 \displaystyle\frac{1}{4}\times \frac{2}{3}\\\\= \frac{9}{4}\times \frac{2}{3} = \frac{3}{2} = 1.5\text{ cups of flour}[/tex]
Hence, Alaina will require 1.5 cups of flour to make [tex]\frac{2}{3}[/tex] batches of cookies.
Give the coordinates of the point located halfway between (2,1) and (2,4)
The coordinates of the mid - point are - M(2, 2.5).
We have two coordinate points - A(2, 1) and B(2, 4)
We have to find the midpoint of this line AB.
What is Mid - Point Theorem?It states that a line with endpoint coordinates as - [x(1), y(1)] and [x(2), y(2)] has its mid - point at the coordinates -
x(m) = [tex]$\frac{x(1)+x(2)}{2}[/tex]
y(m) = [tex]$\frac{y(1) + y(2)}{2}[/tex]
According to question, we have -
First coordinate Point - A(2, 1)
Second coordinate Point - B(2, 4)
Using the Mid - Point formula, we get -
x(m) = [tex]$\frac{x(1)+x(2)}{2} = \frac{2+2}{2} =2[/tex]
y(m) = [tex]$\frac{1+ 4}{2}=2.5[/tex]
hence, the coordinates of the mid - point are - M(2, 2.5).
To solve more questions on Mid - points, visit the link below -
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To be a member of world Fitness Gym, it costs a $60 flat fee and $30 per month. Maria has paid a total of $210 for her gym membership so far. How long has Maria been a member of the gym? Write and equation to represent this situation. Then solve the equation.
yoshi bought two pairs of shoes. the regular price of each pair was $108. with the purchase of one pair of shoes at regular price, the second pair was half price. how much did yoshi pay altogether for the two pairs of shoes?
how to divide double digits
Give one real world example where you would use absolute value.
Least to greatest 2.3, 2 4/5, 2.6
A social worker examines the level of aggression (measured on a 100-point scale) of four groups of individuals before they begin anger management classes. Using the weighted mean, determine the overall mean level of aggression for all four groups.
Group 1 82; 15
Group 2 87; 12
Group 3 93; 22
Group 4 79; 71
(-9.6)÷(-3 1/5) i suck at math please help
if angle 2 is a right angle, and measure of angle 4 is 60, prove measure of angle xyz is 150 degrees
Find the perimeter of a triangle with sides 11 inches, 5 inches, and 13 inches. Show your work.
HELP ASAP with this question.
Is y=9x-8 a function
Explain how to find the LCM.
consider the function t(x)=x/8+2x find t(16)
What is 12.1 rounded to the nearest whole number
.
Round 12.5829 to the nearest hundredth. Rounded number = ___
3x - 6 = 6 - 3x what is x
Answer:
x is 2
Step-by-step explanation:
putting in x
6-6=6-6
0=0 √
1. x - 3 = 7
2. 8w = 48
3. 9 + y = 100
4. a/2 = 18
SHOW WORK PLZ
1. x-3=7 , x =7+3 = 10
2. 8w=48, w = 48/8 = 6
3. 9+ y =100, y=100-9 = 91
4.a/2 =18, a = 18*2 = 36
When completely for a cube shaped container will hold 8000 cm³ of water. What is the length of an edge of the container
Can any three side lengths make a triangle? Explain your reasoning.
Identify a temperature colder than -7.2f. Write an inequality that relates the temperatures. Describe their positions on a horizontal number line.
A temperature colder than -7.2°F can be -8°F. The inequality representing this is -8 < -7.2. Drawing this on a number line shows -8 is to the left of -7.2, hence colder.
Explanation:A temperature that is colder than -7.2°F could be -8°F. The inequality that relates -8°F and -7.2°F is -8 < -7.2, because on a number line, numbers to the left are lesser than those to the right. Therefore, -8°F, being to the left/less than -7.2°F on the horizontal number line, is colder.
The Fahrenheit and Celsius temperature scales don't have absolute lowest temperatures like the Kelvin scale. So, temperatures like -10°F or -20°F (for example) are possible and would be colder than -7.2°F.
Learn more about Inequality here:https://brainly.com/question/30231190
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What are all these answers
Which of the following is a rational number?
the backpacking Club is having some posters printed the printer charges $180 plus 250 per poster how many posters can be printed for $1,000 please explain
To find out how many posters can be printed for $1,000, we need to set up an equation and solve for 'x'. The cost of printing 'x' posters is $180 plus $250 per poster. After solving the equation, we find that 3 posters can be printed for $1,000.
Explanation:To find out how many posters can be printed for $1,000, we need to set up an equation.
Let's say the number of posters is 'x'. The cost of printing 'x' posters is $180 + $250 * 'x'.
We want to find out when the cost equals $1,000, so we can set up the equation: 180 + 250 * 'x' = 1000.
To solve this equation, subtract 180 from both sides and then divide by 250. This will give us the value of 'x', which represents the number of posters that can be printed for $1,000.
Once you solve the equation, you will find that 'x' is equal to 3.2. However, since you cannot print a partial poster, we can conclude that 3 posters can be printed for $1,000.
Each week, Tina earns $x babysitting and receives $10 as her allowance. To find how much she will earn in total over 4 weeks, Tina calculates : x + 10 + x + 10 + x + 10 + x + 10 What is another way Tina can calculate how much she will earn in total over 4 weeks? Drag and drop the equivalent expression in the box.
4X+10 X+40 4(X+10) X+10
Here is to the point:
4 (X=10)