Assuming that the actual question reads lines b and c are perpendicular to line d
we are given that c is perpendicular to line d and parallel to line a. Since b is also perpendicular to line d, a b and c must all be parallel (draw it out will make a lot more sense)
So b is also parallel to line a
Answer:
y = 250x + 1000
Step-by-step explanation:
we know, it is a linear function.
so, y = ax + c
we have multiple data points all on the line.
(4,2000)
2000 = a×4 + c, => c = 2000 - a×4
(7,2750)
2750 = a×7 + c
=> 2750 = a×7 + 2000 - a×4 = a×3 + 2000
=> 750 = a×3
=> a = 250
=> c = 2000 - 250×4 = 2000-1000 = 1000
1/5(x-2)=1/10(x+6)
Distribute and multiply first
(1/5*x) -(1/5*2)=(1/10*x) +(1/10*6)
1/5x-2/5=1/10x+6/10
We do not have the same denominators on both sides. 5 goes into 10 two times so we will multiply everything on the left by 2 to get a common denominator.
2/10x-4/10=1/10x+6/10
Subtract 1/10x from both sides
1/10x-4/10=6/10
Add 4/10 to both sides
1/10x=10/10
1/10x= 1
Multiply both sides by 10/1 (the fraction inverse) to get rid of the fraction.
(10/1)(1/10x) =(1)(10/1)
x= 10
Check work:
1/5(x-2)=1/10(x+6)
Substitute your answer for x
1/5(10-2)=1/10(10+6)
1/5(8)=1/10(16)
8/5=16/10
Simplify 16/10 by dividing by 2
8/5=8/5
Hope this helps!! :)
Answer:
See explanation
Step-by-step explanation:
<u>Given:</u> m∠SQR=55°.
m∠PQS=35°.
<u>Prove:</u> △PQR is a right triangle.
<u>Paragraph proof </u>
Here d means definition
Answer
A) 2160 cubic inches
Step by step explanation
Volume of a rectangular prism = length *width*height.
The give figure (stairway) consists of two rectangular prism.
The volume of the first rectangular prism (bigger one) = 12 *10*12
=120*12
1 st prism = 1440 cubic inches
The volume of the rectangular prism 2 (smaller one) = 12*10*6
=120*6
The volume of the rectangular prism 2 = 720 cubic inches
The volume of the concrete stairway = Volume of the prism 1 + Volume of the prism 2
= 1440 + 720
The volume of the concrete stairway = 2160 cubic inches.
Thank you.
