Answer:
1.
a = 112
b = 68
c = 68
2.
a = 127
3.
a=35
b=40
c=35
d=70
4.
a= 30
b=70
c = 30
d=70
e = 130
I'll help you with the rest later
Step-by-step explanation:
a = 112 because of allied angles rule
b and c = 68 because of angles at a point
360-112-112 ÷2
2. a = 127 because of angles on a straight line rule.
180-38-15
3. d= 70, vertically opposite angle
using angles on a straight line, 180 - 70 - 40 ÷ 2
we now have the two angles and because they are vertically opposite a and c = 35
b = 40 because of vertically opposite angles
4. a=30 because 90-70
since a=30, take 90 - 30 to get b, 70
d= 70, vertically opposite angles
e = 130 because a+b+c, vertically opposite angles
Answer: She will have $700 left over.
Step-by-step explanation: Since we know that a rectangle has two sides with the measurement, we can add the sides. 37+37+25+25=124. The fencing in 124 feet in total. Multiply the 124 feet by the price per foot. 124 x 75 =9,300. Subtract the price from your total amount of money. 10,000 - 9,300 = $700. She will have $700 left over.
Answer:
6 without repetition
27 with repetition
Step-by-step explanation:
without repetition, you have 3 digits to choose from initially, then only 2, then only one, i.e.:
3×2×1 = 6
with repetition, you have 3 digits to choose from for every spot:
3×3×3 = 27
Answer:
y= -2/3 x - 9
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -2/3 x+b
We have a point to substitute into the equation
-5 = -2/3(-6) +b
-5 = 4 +b
Subtract 4 from each side
-5-4 = 4-4+b
-9 = b
y= -2/3 x - 9