Answer:
x = 4
Step-by-step explanation:
A trapezium is a quadrilateral (has four sides and four angles) with one pair of parallel sides. A trapezium is said to be isosceles if the bases are parallel, the two other sides known as the legs are equal and diagonals of the trapezium are equal to each other.
In trapezoid ABCD, BC and AD are the diagonals.
Hence BC = AD (property of isosceles trapezoid)
9x + 1 = 12x - 11
Simplifying:
12x - 9x = 1 + 11
3x = 12
Dividing both sides by 2:
x = 4
Given:
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.
To find:
The coordinates of point G.
Solution:
Section formula: If a point divide a line segment with end points
and
in m:n, then the coordinates of that point are

Point G divide the line segment FH in 8:2. Using section formula, we get




Therefore, the coordinates of point G are (4.8, 4.4).
Two or zero expresses the possible number of positive real solutions for the given polynomial equation.
Answer: Option D
<u>Step-by-step explanation:</u>
Given equation:

First, we put hit and trial method to find out the one solution. So, if we put x=4 then the above expression will become zero. We can also write the above expression as

We know the formula,
, make use of this, we get

So, 
Hence, from the above expression, we have three values of x as x= 4, 2.64 and -2.64
Answer:
alternate angle to angle RUN is angle POU
Step-by-step explanation:
Alternate angles are defined as angles that are located in opposite positions when we look at them relative to a transverse line that intersects two horizontal lines.
Now, we want to find the alternate angle to angle RUN.
The same transverse line cuts the other horizontal line PQ at point O.
Therefore the alternate angle to angle RUN is angle POU
Answer:
(5x-4y)=19
5×19-4×19
95-76
19
Step-by-step explanation:
x+2y=8
x=8-2
x=6