Answer:
See explanation
Step-by-step explanation:
We have to prove the identity
We will take right hand side of the identity
[ Tan θ will be positive since θ lies in 1st quadrant ]
First, let's prove that triangle ABC and AFG are similar.
Line segment FG and BC are parallel to each other, that's a given.
With this information, we can state that these sides are similar to each other since you can transform BC on to FG using only rigid transformations and dilations.
Another thing is that both of these triangles share angle A, that's a given. Therefore, using the SA similar theorem, we can conclude that these triangles are similar.
Now that we know that triangle ABC and AFG are similar we may start going to the answer box.
We can eliminate the first three answer choices for having sides we cannot make full conclusions due to limited knowledge.
The only answer remaining is the fourth choice.
Answer:
Therefore we need 475 milliliter of Compound A
and we need 760 milliliter of compound B.
Step-by-step explanation:
i) let x be the number of milliliters of compound A
ii) let y be the number of milliliters of compound B
iii) It is also given that x = y
iv) therefore x + y = 1235 milliliters
v) therefore y + y = y = 1235 y = 760 milliliter
vi) therefore x = 1235 - 760 = 475 milliliter
Therefore we need 475 milliliter of Compound A
and we need 760 milliliter of compound B.
Answer:
Option A is the best answer
Step-by-step explanation:
Let me know if this is wrong, I believe it is correct.
5/7m=-55
1.) First of all they are multiplying so you do the opposite. In this case you divide 5/7 by both sides.
-55divided 5/7
Changes to
-55/1 x 7/5. See if you can cross cancel in this case you can. The -55 changes to a -11 and the 5 changes into a 1
Reminder: Remember when you divided by fractions you change the sign to a multiplication sign and then flip the next fraction over.
2.) After dividing you should get -77/1 or if you didn't cross cancel then you would get -385/5.
3.) If you get -385/5 then you would have to do 385 divided 5 and you would get -77.
4.) Checking your answer is 5/7•-77=-55.
5/7•-77 changes to 5/7•-77/1 and you can cross cancel it where the -77 changes to a -11 and 7 changes to a 1.
5.) You should get -55. If you didn't cross cancel then you would have gotten -385/77
6.) If got -385/77 then you would do -385 divided by 77. Your then should get -55.
7.) Look to see if the answer you got when you checked matches the answer in the problem. -55=-55
8.) Your answer is -77