Answer:
50
Step-by-step explanation:
In a circle, inscribed angles that intercept the same arc are congruent.
Both angles intercept the arc FG so both angles must be the same
m∠FEG = 50°, that means ∠FHG =50
Answer:
about 5.22hrs
Step-by-step explanation:
cross multiply
<u>120.45</u> <u>?</u>
15.67 40.15
120.45*40.15
=629.1505
629.1505/15.67
=5.2233333...
Answer:
x-intercept = -56
y-intercept = - 14
Step-by-step explanation:
x + 4y = -56
x- intercept :
y = 0
x + 4*0 = - 56
x-intercept = -56
y-intercept:
x=0
0 + 4y = - 56
4y = -56
y = - 14
y-intercept = - 14
Answer:
Let's define the high temperature as T.
We know that:
"four times T, was more than 2*T plus 66°C"
(i assume that the temperature is in °C)
We can write this inequality as:
4*T > 2*T + 66°C
Now we just need to solve this for T.
subtracting 2*T in both sides, we get:
4*T - 2*T > 2*T + 66°C - 2*T
2*T > 66°C
Now we can divide both sides by 2:
2*T/2 > 66°C/2
T > 33°C
So T was larger than 33°C
Notice that T = 33°C is not a solution of the inequality, then we should use the symbol ( for the set notation.
Then the range of possible temperatures is:
(33°C, ...)
Where we do not have an upper limit, so we could write this as:
(33°C, ∞°C)
(ignoring the fact that ∞°C is something impossible because it means infinite energy, but for the given problem it works)
Answer:
(-1)(11)(3)(5)
Step-by-step explanation:
First off: -165 separates into the factors (-1) and (165). Next, we divide 165 by 15, obtaining 15(11).
So far, we have (-1)(11)(15).
15 is still factorable. We get:
(-1)(11)(3)(5), which is the desired prime factorization of -165.
