So the longer lines are 2x longer than the shorter lines
Look at line segment BD
40 is 2x as long as 9x+2
In order to make the equation true, multiple 9x+2 by 2
So, you should get:
40=18x+4
36=18x
x=2
Plug the 2 into 19X+14, and divide that answer by 2, because GF is 2x smaller than AG
19x+14
19(2)+14
52
52/2=26
Hope this helps!!
Answer:
b=d+f+a^2
b/D+f=a^2
Step-by-step explanation:
Answer:
(1, - 2 )
Step-by-step explanation:
Given the equations
9x + 2y = 5 ( subtract 9x from both sides )
2y = 5 - 9x ( divide terms by 2 )
y = 2.5 - 4.5x → (1)
7x - 3y = 13 → (2)
Substitute y = 2.5 - 4.5x into (2)
7x - 3(2.5 - 4.5x) = 13
7x - 7.5 + 13.5 = 13 , that is
7x + 6 = 13 ( subtract 6 from both sides )
7x = 7 ( divide both sides by 7 )
x = 1
Substitute x = 1 into (1) and evaluate for y
y = 2.5 - 4.5(1) = 2.5 - 4.5 = - 2
solution is (1, - 2 )
I'm going to assume the 2 shapes are both squares. ABCD has side of 4, BPQR has side of 5.
BP=5 AB=4 We can use Pythagorean theorem to see easily that AR= sqrt(5^2-4^2)=3.
Next step, we can see that angle A and angle D are both equal to 90 degrees. And angle DRS = <A+<ABR-<BRQ (exterior angles theorem) and <BRQ - <A= 90 degrees. Therefore...
triangle DRS is similar to triangle ABR so RD/SD=AB/AR=4/3
and RD=5-3=2 So SD is 3/2 because 2/ 3/2= 2*2/3 = 4/3 like above.
Now we can find shaded area by subtraction from square ABCD.
16-3*4/2-2*(3/2) /2=16-6-3/2=10-3/2=17/2.
I hope this answer helped if you have any question just ask in the comment!