Nothing else is given, so for the two triangles to be congruent, the only possible proof is the ASA theorem.
first pairs of angles: 2x+7=x+21 => x=14
second pairs of angles: 8y-4=4y+28 =>y=8
The two triangles share the same side PR
Based on the Angle-Side-Angle Triangle Congruence theorem, these two triangles are congruent with x=14, y=8
(2x+7) +(8y-4) +Q=180 =>85
Answer:
alternate angle to angle RUN is angle POU
Step-by-step explanation:
Alternate angles are defined as angles that are located in opposite positions when we look at them relative to a transverse line that intersects two horizontal lines.
Now, we want to find the alternate angle to angle RUN.
The same transverse line cuts the other horizontal line PQ at point O.
Therefore the alternate angle to angle RUN is angle POU
First, you expand it.
2x - 6x + 3 = 3 - 4x
Now, simplify.
-4x + 3 = - 4x
Cancel out the double "4x"
3 = 3
Since both side have an equal answer, there in an infinite number of answers.
Hope this helps! ☺♥
Answer:
See Below
Step-by-step explanation:
This is very simple, but I can help more if you're stuck.
Take the number of pounds multiplied by the cost per pound.
For example, if I had 5 pounds of peaches, and they are $2 per pound...
5 pounds * $2 per pound = $10
Try it on your own :)
Answer:
None of the options is correct
Step-by-step explanation:
It is important to know that he expression a < x < b means that x is greater than a and less than b. So, for finding the correct value let's analyse each option.
A. 4 < 50 < 5
50 is greater than 4 but it is not less than 5, so, option A is incorrect.
B. 7 < 50 < 8
50 is greater than 7 but it is not less than 8, so, option B is incorrect.
C. 8 < 50 < 9
50 is greater than 8 but it is not less than 9, so, option C is incorrect.
D. 10 < 50 < 11
50 is greater than 10 but it is not less than 11, so, option D is incorrect.
Thus, none of the options is correct.