Answer:
(-2,-11)
Step-by-step explanation:
3x-2(4x-3)=16
3x-8x+6=16
-5x=10
x=-2
Plug back in
y=4(-2)-3
y=-8-3
y=-11
Step-by-step explanation:
for questions 5,6,7,8 you need to use formula
for questions 9.and 10 sorry I dunno how to do
The formula for a rectangle's perimeter is
P = 2l + 2w
We know the length is 2 ft greater than thrice the width, so 2l becomes:
3w + 2ft + 3w + 2ft
Substitute.
P = 3w + 2ft + 3w + 2ft + 2w
Add like terms.
P = 8w + 4ft
Substitute P.
84 ft = 8w + 4ft
Subtract 4 ft from both sides to eliminate. (Property of equality)
84 ft - 4ft = 8w + 4ft - 4ft
80 ft = 8w
Divide 8 on both sides to isolate w.
80 ft / 8 = 8w / 8
10 ft = w
We have the value of w, now look for the l which we know is 2 feet more than thrice the value of w.
l = 10 ft × 3 + 2 ft
l = 30 ft + 2 ft
l = 32 ft
Therefore, the length and the width of the rectangle is 10 ft (w) and 32 ft (l).
Check:
84 ft = (2) (10 ft) + (2) (32 ft)
84 ft = 20 ft + 64 ft
84 ft = 84 ft ✔
♧
Answer:
The interior angles are 80°, 30° and 70°.
Step-by-step explanation:
The sum of interior angle of a triangle is 180°. Two exterior angle of the triangle is given as 100° and 150°. The exterior angle of a triangle is equal to the sum of the opposite interior angle. The exterior angle is the angle between one side of a triangle .
Since angle on a straight line = 180°
Two interior angles can be calculated as follows
180 - 100 = 80°
180 - 150 = 30°
2 interior angles are known.
Note the sum of interior angle of a triangle is 180°
since 2 interior angle are known the third angle can be calculated as follows
180 - 80 - 30 = 70°
The interior angles are 80°, 30° and 70°.
Tell me the two names of the properties.
Like the two of them
