Answer:
m∠P = 29
Step-by-step explanation:
Straight line is 180 so:
56 + x = 180
x = 124
So m∠Q is 124 and a triangle is 180 so now:
124 + 27 + h = 180
151 + h = 180
h = 29
m∠P = 29
Answer:
3.5
Step-by-step explanation:
3.5x16=56
We can start by rewriting the initial equation <span>x +10y=260 in order to express how y depends on x.
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This is a linear function ( it's a straight line). Linear functions have two intercepts, y and x.
To find x-intercept (also called zero of a function) we set y=0 and we solve for x.



This means that at x=260 our function has a value of 0. y(x) represents a distance from the school. This means that when y(x) is 0 our athlete reached school (finished the race), so this also answers your second question. The time it takes an athlete to finish the race is 260 minutes.
The y-intercept a value of our function at x=0. This gives us a distance of our athlete from the school at the start of the race. We find this by plugin x=0 in our equation. We get that y=26 when x=0. This makes perfect sense. Our athlete is 26 miles away from high school at the start of the race.
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Answer:
Option B x=6 units
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
Triangles ABC and DEF are similar
therefore
∠A≅∠D
∠B≅∠E
∠C≅∠F
and
AB/DE=BC/EF=AC/DF
Find the value of x
AB/DE=BC/EF
substitute the given values
x/3=16/8
x=3*16/8
x=6 units