The problem to number 1 is a inequality, so
x-2<-7
x<-5
since it is < it will have open dot.
Answer: C
2. x/3>-3
x>-9
Answer: D
3. 5p+26<72
5p<46
p<9.2
Answer: C
4. -3w+3>=18
-3w>=15
x<=-5
5. 15x-21>= 12x+18
x>=13
Answer A
6: |3x|=15
Absolute values positive so {-5,5}
Answer: B
7: |2x-3|=5
x=4,-1
Answer: C
Answer:
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
a. because angle between tangent and chord is equal to the angle(s) in alternate segment.
b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚
c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚
d. 28*2=56˚ because angles at circumference are half angles at centre
The principal will donate 1.50 for every dollar the fifth graders raise
total surface area Stot = 1180 in2
lateral surface area Slat = 920 in2
top surface area Stop = 130 in2
bottom surface area Sbot = 130 in2
1st guy minus the 2nd is how far the 2nd made it
86-22=64 ft