Answer:
C.
Step-by-step explanation:
Recall that the sum of the (3) interior angles of a triangle <em>must</em> equate to 180.
In other words:

Where x is our unknown angle. So, we need to solve for x.
On the left, add 55 and 20:

Subtract 75 from both sides. The left side cancels:

Therefore, the third angle is 105 degrees.
Our answer is C.
Answer:
0.38268343
Step-by-step explanation:
cos(
67.5
)
Rewrite
67.5
as an angle where the values of the six trigonometric functions are known divided by 2
.
cos
(
135\
2)
Apply the cosine half-angle identity.
±
√
1
+
cos
(
135
)
2
Change the
±
to
+
because cosine is positive in the first quadrant.
√
1
+
cos
(
135
)
2
Simplify
√
1
+
cos
(
135
)
2
√
2
−
√
2
2
The result can be shown in multiple forms.
Exact Form:
√
2
−
√
2
2
Decimal Form:
0.38268343
…
Answer:
Perimeter of the polygon p = 24
Step-by-step explanation:
Step(i):-
Given the vertices of a polygon are
P(0,4) ,Q( 5,4) ,R( 5,-3) and S(0,-3)
The distance of PQ

The distance of QR

The distance of RS

The distance of PS

<u><em>Step(ii):-</em></u>
Perimeter of the polygon
= sum of all sides of polygon
p = a+ b+ c+ d
p = 5+7+5+7
p = 24
<u><em>Final answer:-</em></u>
Perimeter of the polygon p = 24
Answer:
30
Step-by-step explanation:
Quotient means were dividing, so divide 900.37 by 28.9
900.37/28.9=30 rounded up.
The estimated quotient of 900.37 and 28.9 is 30.
Hope this helps!
Answer:
y = 
Step-by-step explanation:
to get the hypotenuse:
use the Pythagorean theorem:
a² + b² = c²
where a = 19, b = 8.2 c = y
plugin values:
19² + 8.2² = y²
y = 