Answer:
27 SUVs
Step-by-step explanation:
Let number of ordinary cars be x and SUVs be y
We can write 2 equations and use substitution to solve for the number of SUVs.
<u>"The number of ordinary cars is larger than the number of sport utility vehicles by 59.3%"- </u>
This means that 1.593 times more is ordinary cars (x) than SUVs (y), so we can write:
x = 1.593y
<u>"The difference between the number of cars and the number of SUVs is 16" - </u>
Since we know ordinary cars are "more", we can say x - y = 16
<em>We can now plug in 1.593 y into x of the 2nd equation and solve for y:</em>
<em>x - y = 16</em>
<em>1.593y - y = 16</em>
<em>0.593y = 16</em>
<em>y = 27 (rounded)</em>
<em />
<em>Hence, there are 27 SUVs</em>
Answer:
area is 21
Step-by-step explanation:
the formula to find the area of a triangle is
area = 1/2 x base x height
so we can plug the numbers of your triangle in to that formula
the base is 7 and height is 6
area = 1/2 x 7 x 6
area = 1/2 x 42
area = 21
<span>What is the next step in the proof? Choose the most logical approach. Statement: ∠1≅∠8 and ∠2≅∠7 Reason: Congruent Supplements Theorem Statement: m∠3+m∠4=180° and m∠7+m∠8=180° Reason: Linear Pair Theorem Statement: m∠3+m∠5=180° and m∠4+m∠6=180° Reason: definition of supplementary angles Statement: ∠7≅∠6 and ∠8≅∠5 Reason: Vertical Angles Theorem Done </span>
Answer:
Option 3) y = 3x+1
Step-by-step explanation:
<u><em>Given equation is:</em></u>
y = 
Perpendicular => <u><em>It will have a slope of negative reciprocal to this slope</em></u>
So the ⊥ line has a slope = m = 3
Now,
Point = (x,y) = (1,4)
So, x = 1, y = 4
<u><em>Putting this in slope intercept form to get b</em></u>
=> 
=> 4 = (3)(1) + b
=> b = 4-3
=> b = 1
<u><em>Now, Putting m and b in the slope intercept form to get the required equation:</em></u>
=> y = 3x+1
