You can use the butterfly method. Two numbers that equal A times C must also add up to B. A=1 B=-10 C=21. A times C is 21 and B is -10. Two numbers that multiply to 21 and add to -10 are -7 and -3. Factored form: ( x - 7 )( x - 3 ).
Answer:
14. x = 16; y = 23
15. x = 9; y = 13
Step-by-step explanation:
14. (4x + 4) = (7x - 44) (alternate exterior angles are congruent)
4x + 4 = 7x - 44
Collect like terms
4x - 7x = -4 - 44
-3x = -48
Divide both sides by -3
x = -48/-3
x = 16
39° + (8y - 43)° = 180° (consecutive exterior angles are supplementary)
39 + 8y - 43 = 180
Add like terms
-4 + 8y = 180
Add 4 to both sides
8y = 180 + 4
8y = 184
Divide both sides by 8
y = 184/8
y = 23
15. (15x - 26)° = (12x + 1)° (alternate exterior angles are congruent)
15x - 26 = 12x + 1
Collect like terms
15x - 12x = 26 + 1
3x = 27
Divide both sides by 3
x = 27/3
x = 9
28° + (12x + 1)° + (4y - 9)° = 180° (sum of interior angles of ∆)
Plug in the value of x
28 + 12(9) + 1 + 4y - 9 = 180
28 + 108 + 1 + 4y - 9 = 180
Add like terms
128 + 4y = 180
Subtract 128 from each side of the equation
4y = 180 - 128
4y = 52
Divide both sides by 4
y = 52/4
y = 13
Heres your answer also,
Sorry i took long i had trouble figuing this out.
Hope it helps you tho.
A=36 1/4
L=8 3/4
W=A/L
A=W times L
A=145/4
L=35/4
W=145/4/35/4
W=29/4
thats the answer but you must make it mixed again.
answer W=4 1/7
which makes (A) your answer
third side =√{30²+16²)=34
sin theta/2=16/34
theta/2=sin-¹(16/34)
theta=28.07×2=56.14
