-2x=4x+9 |-4x
-6x=9 |:(-6)
x=-1,5
Check:
-2*-1,5=4*-1,5+9
3=-6+9
3=3
The polygons are said to be similar if and only if the ratio of the measures of their corresponding sides are equal. If we are to establish the equation by the definition given above that would be,
15/10 = 60/x
The value of x from the equation is 40. Hence, the side measures 40.
ANSWER: 40
The answer is the last choice.
<h2>
Answer:</h2>
The Maple tree.
<h2>
Step-by-step explanation:</h2>
The Sycamore is 15 and 2/3 feet tall, which is 15.667 feet.
The Oak is 14 and 3/4 feet tall, which is 14.75 feet.
The Maple is 15 and 3/4 feet tall, which is 15.75 feet.
The Birch is given as 15.72 feet.
Out of these, the tallest is the Maple, which is at 15.75 feet.
Answer: 24ways
Step-by-step explanation:
Given data:
No of men in the workplace = 7
No of women in the workplace = 1
How many ways can a group of 4 people carry out a project if on out of the 3 must be a woman.
Solution.
A group of 4 can carry out the project with one be a woman
This means there must be 3 males and 1 female in the group
= 4p3
= 24ways
The project can be carried out by 4 groups in 24 ways
Answer:
Here we will use algebra to find three consecutive integers whose sum is 300. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 300. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 300
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 300
3X + 3 = 300
3X + 3 - 3 = 300 - 3
3X = 297
3X/3 = 297/3
X = 99
Which means that the first number is 99, the second number is 99 + 1 and the third number is 99 + 2. Therefore, three consecutive integers that add up to 300 are 99, 100, and 101.
99 + 100 + 101 = 300
We know our answer is correct because 99 + 100 + 101 equals 300 as displayed above.
Step-by-step explanation:
