Answer:
4
Step-by-step explanation:
the above question simply means that
{X+3X-K X+4} - k
is exactly divisible by (X -2)
to find the value of K, put X= 2
2+3(2)-K(2)+4-k=0
2+6-2K+4-K = 0
12-3K = 0
12 = 3K
K = 12/3 = 4
K= 4
Answer:
square units
Step-by-step explanation:
The simple formula we need here is:
Where
d is length of diagonal
s is length of side of square
Let's find side length of square from information given:
Now,
we know area of square is 
We know s, and now we find area
Area = 
The first answer choice is right, 1/2x^2 sq. units.
9514 1404 393
Answer:
a) yes; 12/15/17 ~ 20/25/x; SAS
b) x = 28 1/3
Step-by-step explanation:
The left-side segments are in the ratio ...
top : bottom = 12 : 8 = 3 : 2
The right side segments are in the ratio ...
top : bottom = 15 : 10 = 3 : 2
These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.
Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:
12/15/17 ~ 20/25/x
__
The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:
x = 17/12 · 20 = 340/12
x = 28 1/3
Answer:
The volume of milk each cow produce are:
Betty = 851 litres
Bessie = 613 litres
Step-by-step explanation:
Let the volumes of milk from each of them be:
Betty = X litres
Bessie = Y litres
We are given the following information:
X = 2Y - 375 . . . . . . (1) <em>(Betty the cow gave 375 litres less than twice the amount the amount from Bessie the cow)</em>
X + Y = 1464 . . . . . . (2) <em>(Together Betty and Bessie produced 1464 litres of milk)</em>
Next, we will replace the value of 'X' in equation (2) with equation (1) as follows:
X = 2Y - 375 . . . . . . (1) ; X + Y = 1464 . . . . . . (2)
Therefore, equation (2) becomes:
(2Y - 375) + Y = 1464
2Y + Y - 375 = 1464
3Y - 375 = 1464
3Y = 1464 + 375 = 1,839 (divide both sides by 3)
∴ Y = 1839 ÷ 3 = 613 litres
Finally, from equation 2, we have X + Y = 1464 ; since Y = 613, solving for X:
X + Y = 1464
X + 613 = 1464
X = 1464 - 613 = 851 litres
Therefore:
Betty (X) = 851 litres
Bessie (Y) = 613 litres
Answer:
Adding another row of dots that are 1 bigger than the last row
