The system of equations of two unknowns is formulated and solved.
Possible number pairs are 4, 1 and -4, -1 .
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!
Answer:
the y intercept is where the x value is 0
Step-by-step explanation:
Answer:
8x - 14 = 5x + 34 (alternate exterior angles)
8x - 5x = 34 + 14
3x = 48
x = 48/3
x = 16
5y + 16 + 8x - 14 = 180 (linear pair)
5y + 16 + 8(16) - 14 = 180
5y + 16 + 128 - 14 = 180
5y + 130 = 180
5y = 180 - 130
5y = 50
y = 50/5
y = 10
∠ (8x - 14) = 114 [(8 × 16 -14)=114]
∠ (5x + 34) = 114 [(5 × 16 +34)=114]
∠ (5y + 16) = 66 [(5 × 10 +16)=66]
hope this helps you!