Answer:
r=20
Step-by-step explanation:
to get rid of the division part, you multiply 6 each side. now you have r+10=30. to solve, now you subtract 10 from both sides. this gives you r=20 :)
9514 1404 393
Answer:
- same-side interior
- (3x +4) +(2x +11) = 180
- 77°
Step-by-step explanation:
Angles 3 and 5 are on the same side of the transversal, between the parallel lines, so can be called "same-side interior angles". These are also called "consecutive interior angles". As such, they have a sum of 180°, so are also "supplementary angles." We don't know what your pull-down menu options are, but perhaps one of these descriptions is on there.
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Because the angles are supplementary, their sum is 180°. So, the equation ...
(3x +4)° +(2x +11)° = 180°
can be used to solve for x. Likewise, any of the possible simplifications of this can be use:
(3x +4) +(2x +11) = 180 . . . . . divide by degrees
5x +15 = 180 . . . . . . . . . . . collect terms
5x = 165 . . . . . . . . . . . . . subtract 15
x = 33 . . . . . . . . . . . . . . divide by 5
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Once we know that x=33, then the measure of angle 5 is found from its expression:
m∠5 = (2x +11)° = (2·33 +11)°
m∠5 = 77°
Answer to this question is B
Answer:
(A) and (B)
Step-by-step explanation:
(A) 
On simplifying this, we get


which is equivalent to the other term, thus this option is correct.
(B) 
On simplifying this, we get


which is equivalent to the other term, thus this option is correct.
(C) ![(\sqrt[3]{125})^7 and (125)^\frac{3}{7}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B125%7D%29%5E7%20and%20%28125%29%5E%5Cfrac%7B3%7D%7B7%7D)

which are not equivalent, thus this option is not correct.
(D) 
which are not equivalent, thus this option is not correct.
Answer:
(5^4)^-3 = 4.096e-9
Step-by-step explanation: