Answer:
approx. 44 km
Step-by-step explanation:
We are given that :
5 miles ------> 8 km
we divide both sides by 5 to get the unit rate:
1 miles ------> 8/5 km
Therefore:
27.5 miles -----> 27.5 miles x (8/5) = 44 km
Sum of interior angles of triangle = 180
x + x + 6 + 3x - 16 = 180
5x - 10 = 180
5x = 190
x = 38
<M = 3(38) - 16
<M = 114 - 16
<M = 98°
Answer:
r = 12
Step-by-step explanation:
From the figure attached,
QP is a tangent to the circle O at the point P.
Therefore, by the property of tangency,
OP ⊥ QP
By applying Pythagoras theorem In right triangle QPO,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(OQ)² = (OP)² + (PQ)²
(25 + r)² = (35)² + r²
625 + r² + 50r = 1225 + r²
50r = 1225 - 625
50r = 600
r = 12
Therefore, r = 12 units is the answer.
Answer:
238
Step-by-step explanation:
First, write out the statement as an inequality so that it looks like this: x<span>≤11/5
Then you graph it on a number line, and since you know anything greater/less than or equal to is a closed circle since it includes the value 11/5, you would plot a closed circle on 11/5 on a number line and draw and arrow pointing towards the left to show that only values 11/5 or under can satisfy x.
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