Answer:
x = 3
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠TRQ is an external angle and ∠RTS, ∠RST are interior angles, hence
45x = 25x + 57 + x
45x = 26x + 57 ( subtract 26x from both sides )
19x = 57 ( divide both sides by 19 )
x = 3
Answer:
The missing factor is 5y-9
5y^2-4y-9=(y+1)(5y-9)
Step-by-step explanation:
We are given this expression:
![5y^{2}-4y-9](https://tex.z-dn.net/?f=5y%5E%7B2%7D-4y-9)
Now let us factorise it using AC method of factorisation.
First taking product of 5 and -9
5*(-9)=-45
NOw we have to find two factors of -45 that add up to give -4
Two such factors are -9 and 5
So replacing -4y by -9y+5y,
![5y^{2}-9y+5y-9](https://tex.z-dn.net/?f=5y%5E%7B2%7D-9y%2B5y-9)
Factoring by grouping,
![y(5y-9)+1(5y-9)](https://tex.z-dn.net/?f=y%285y-9%29%2B1%285y-9%29)
![(y+1)(5y-9)](https://tex.z-dn.net/?f=%28y%2B1%29%285y-9%29)
So the missing factor will be 5y-9
Given that the slope = m
and Point (a, b)
The equation of the line is
y - b = m(x - a)
Answer:y=-1/4x - 5
Need help with anything else?
Step-by-step explanation:
Answer:
area = 13.8 cm²
Explanation:
The area of the triangle can be calculated using the following rule:
area of triangle = (1/2) * base * height
In the given:
base of triangle = 6.9 cm
height of triangle = 4 cm
Substitute with the givens in the above equation to get the area as follows:
Area = (1/2) * (6.9) * (4)
Area = 13.8 cm²
Hope this helps :)