The answer is D. 2+1/5×(7/12+3)
Answer:
148°
Step-by-step explanation:
The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.
arc QN = 2(74°) = 148°
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<em>Comment on the question and answer</em>
Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.
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We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.
Answer:
4 (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is (9 x + 11).
Step-by-step explanation:
Here, given The perimeter of the square = (36 x+44)
Now,as we know :
PERIMETER OF SQUARE = 4 x ( SIDES)
Simplifying the perimeter expression.
Take 4 common out of the expression (36 x+44), we get:
(36 x+44) = 4 (9 x + 11)
⇒ Perimeter of the square = 4 x (9 x + 11)
⇒4 x ( SIDES) = 4 x (9 x + 11)
⇒ Each Side = (9 x + 11)
Hence, 4 x (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is (9 x + 11).
Answer:
C. 468mm²
Step-by-step explanation:
The formula for the surface area of rectangular prism is:

Let's break down our variables.
L = 12mm
W = 6mm
H = 7mm + 2mm = 9mm
Now we substitute our values in the formula: