Answer:
Yes lines are intersecting, point of intersection is <4,2,0>.
Step-by-step explanation:
Given parametric equations of line are:
If lines are intersecting then parametric coordinates of (1) are equal to (2)
Considering A and B to find values of t and s
From A
t=4s-3---(D)
Putting in (B)
2(4s-3)=1+s
8s-6=1+s
7s=7
s=1
Then
t=4-3
t=1
If lines are intersecting then these values of s and t must satisfy (C)
2-2(1)=1-1
0=0
This shows lines are intersecting.
At this value of t, (1) becomes
Putting s=1 in (2)
Point of intersection is <4,2,0>.
Answer:
468 sq. ft.
Step-by-step explanation:
A = 1/2 (a + b) (h)
= 1/2 (52) (18)
= 468 sq. ft.
Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.
<h3>What are the Properties of the Angles of a Parallelogram?</h3>
In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.
Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)
Angle F + angle G = 180
4x - 2 + 34 = 180
4x + 32 = 180
4x = 180 - 32
4x = 148
x = 148/4
x = 37
Value of x is: E. 37.
Learn more about parallelogram on:
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Answer:
10
Step-by-step explanation:
A:). because if you subtract on x+2y=14 from x+3y=18 you get y=4 and letter A is the only answer with positive 4 in the y coordinate (x,y)
