Answer:
x = 35° , y = 90°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
145° is an exterior angle of the triangle , then
y + 55° = 145° ( subtract 55° from both sides )
y = 90°
the sum of the 3 angles in a triangle = 180° , then
x + y + 55° = 180°
x + 90° + 55° = 180°
x + 145° = 180° ( subtract 145° from both sides )
x = 35°
Thw sale tax will be $ 418.80 on the book bag
Answer:
Step-by-step explanation:
The complete question in the attached figure
step 1
Find the measure of angle QPZ
we kno that
---> by supplementary angles (form a linear pair)
we have
---> given value
substitute
step 2
Find the measure of angle YSV
we know that
When two lines are crossed by another line, <em><u>Alternate Exterior Angles</u></em> are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. If the two lines are parallel then the alternate exterior angles are congruent.
In this problem
The transversal is the line XY
The two parallel lines are RQ and VW
therefore
---> by alternate exterior angle
we have
therefore
2. unit price = $ ÷ oz
<span>a) 64 fl oz for $2 = 2/64 ≈ $0.031 per ounce </span>
<span>b) 256 fl oz for $7.5 = 7.5/256 = $0.029 per ounce </span>
<span>c) buy wholesale because 0.029 < 0.031 </span>
<span>3. unit rate means 1 for the miles </span>
<span>3/10 in ÷ 7/8 mi </span>
<span>= 12/35 inches per mile ...</span>
If the corresponding sides of two similar triangles have congruent angles than the sides correspond to each other
in triangle abc
and triangle def
ab:de
bc:ef
ca:fd
so they correspond in ratio but are not necessarily congruent
if in the similar triangles the sides are equal than the angles will correspond in ratio to add up to 180 degrees
so if triangle abc≈ triangle def
then
∠abc:∠def
∠bca:∠efd
∠cab:∠def
