Answer:
Step-by-step explanation:
Step 1: Sum of angles on a straight line is 180
Step 2:
2x + 25 + y = 180
2x + y = 180 - 25
2x + y = 155 (1)
Step 3:
3x - 10 + y = 180
3x + y = 180 + 10
3x + y = 190 (2)
Step 4: Substract equation 1 from 2
3x + y - 2x - y = 190 - 155
x = 35
Step 5:
Substitute x in equation 1 to find y
2x + y = 55
2(35) + y = 155
70 + y = 155
y = 155 - 70
y = 85
Answer:
C and B
Step-by-step explanation:
(6)
×
← cancel 3x - 7y on numerator and denominator
=
×
=
=
→ C
(7)
÷ 
Factorise the denominators of both fractions
x² - 9 = x² - 3² = (x - 3)(x + 3) ← difference of squares
4x - 12 ← factor out 4 from each term
= 4(x - 3)
Then rewrite as
÷
← cancel 8 and 4 by 4
=
÷ 
• leave first fraction, change ÷ to × , turn second fraction ' upside down'
=
×
← cancel x - 3 on numerator and denominator
=
×
← cancel 2 and 6 on numerator and denominator
=
→ B
Answer:
i) 56
ii) 90
Step-by-step explanation:
i) 2a (b + c) where a = 2 b = 5 and c = 9
2(2) ((5) + (9))
2(2) (14)
(4) (14)
56
ii) abc
(2)(5)(9)
90
Answer:
The coast guard craft will get to the distressed boat the fastest.
Step-by-step explanation:
The coordinates of boat are (57,64).
The coordinates of rescue boat are (67,83).
The coordinates of coast guard craft are (65,46).
Both rescue crafts travel at the same rate. One of them will get to the distressed boat the faster, whose distance from the boat is least.
Distance formula:

The distance between boat and rescue boat is

The distance between boat and coast guard craft is

Since the distance between boat and coast guard craft is least, therefore coast guard craft will get to the distressed boat the fastest.
Add 1 to all parts.
-4+1<3x-1+1<5+1
-3x<3x<6
-3/3<3x/3<6/3
=-1hope this helps!