Answer:
3d
Step-by-step explanation:
$60 + $145 = $205
$205 x 3 = $615
LA=3.5; AY=7
LW=?
LW=LA+AW
AW=?
Let's analyze triangles LAY and YAW
1) Triangle LAY
Angle LAY is 90°
Suppose Angle ALY is x
The angle LYA is the complement of x, for example y:
x+y=90°→y=90°-x
2) Triangle YAW
Angle AYW is the complement of angle LAY (y), then the angle AYW must be equal to x.
Angle YAW is 90°, because the angle LAY is 90°
The triangles LAY and YAW are similars, because they have to congruent angles:
Angle LAY = 90° = Angle YAW
Angle ALY = x = Angle AYW
Then the sides of triangles LAY and YAW must be proportionals:
AW/AY=AY/LA
Replacing the known values:
AW/7=7/3.5
AW/7=2
Solving for AW. Multiplying both sides of the equation by 7:
7(AW/7)=7(2)
AW=14
Now:
LW=LA+AW
LW=3.5+14
LW=17.5
Answer: LW=17.5 units
Answer:
Step-by-step explanation:
A and B form a right angle
meaning that A+B=90
if A=58
B=90-58 = 32
answers
B is acute angle, true
second statement is False
Last statement is true
Answer:
69 people got in free over the 2 days
Step-by-step explanation:
6742/175=38
5487/175=31
31+38=69
Here,
The midpoint of segment QR is M
<u>m</u><u>(</u><u>-2</u><u>,</u><u>9</u><u>)</u> x3=-2,y3=9
<u>Q</u><u>=</u><u>(</u><u>-8</u><u>,</u><u>1</u><u>2</u><u>)</u>x1=-8,y1=12
R=x2,y2
we know that,
⠀
So,
x3=
⠀
⠀
⠀
⠀
⠀
x2=4
now we find the y coordinate y2.
y3=
⠀
⠀
⠀
⠀
⠀
y2=6
<em>Now</em><em> </em><em>we</em><em> </em><em>get</em><em> </em><em>the</em><em> </em><em>two</em><em> </em><em>coordinate</em><em> </em><em>of</em><em> </em><em>R</em>
<em>so</em><em>,</em>
R=(x2,y2)=(4,6)