Answer:
all the angles in a triangle will add to 180
65 + 57 + 2x = 180
subtract the 65 and 57 from both sides
2x = 58
x = 29
D) 29
hope this helps :)
Step-by-step explanation:
Answer:
1/14
Step-by-step explanation:
change to a common denominator.
3/14 - 2/14 = 1/14
Answer:
-3/4
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -4 - -7)/(-2-2)
( -4+7)/(-4)
3/-4
-3/4
Answer:
The proof is detailed below.
Step-by-step explanation:
We will first prove that if H(x) is a differentiable function in [a,b] such that H'(x)=0 for all x∈[a, b] then H is constant. For this, take, x,y∈[a, b] with x<y. By the Mean Value Theorem, there exists some c∈(x,y) such that H(y)-H(x)=H'(c)(x-y). But H'(c)=0, thus H(y)-H(x)=0, that is, H(x)=H(y). Then H is a constant function, as it takes the same value in any two different points x,y.
Now for this exercise, consider H(x)=F(x)-G(x). Using differentiation rules, we have that H'(x)=(F-G)(x)'=F'(x)-G'(x)=0. Applying the previous result, F-G is a constant function, that is, there exists some constant C such that (F-G)(x)=C.
Answer:
n = 60
Step-by-step explanation:
<em>Terms which are divisible by 9 between 60 and 600.
</em>
<em>
63, 72, 81, ........ 594
</em>
<em>
n = [ (l - a)/d ] + 1
</em>
<em>
n = [(594 - 63)/9] + 1
</em>
<em>
n = (531/9) + 1
</em>
<em>
n = 59 + 1
</em>
<em>
n = 60</em>