(I'm assuming _ is a negative sign)
Statement A is true.
That is because absolute value measures distance, which is always positive. So |-42| = 42
☝️YES!☝️ ☝️YES!☝️ ☝️YES!☝️ ☝️YES!☝️ ☝️YES!☝️ ☝️YES!☝️
Statements are (<u>underlined)</u> and reasons are (bolded).
It is given that (<W) and (<Y) are both right angles, therefore, they must be congruent since they have the same angle measures.
<u><W = <Y</u> definition of right angles
Moreover, it is given that (VX) and (ZX) are congruent.
<u>VX = ZX</u> given
Finally, it is given that (x) is the midpoint of (WY). Therefore, (WX) is congruent to (XY), and therefore, they are congruent.
<u>WX = XY</u> definition of midpoint
Thus, triangle (YWX) is congruent to (ZYX) by the following rule, side-angle-side, also known as (SAS).
<u>YWX = ZYX </u> SAS
When two sides and an angle are congruent between two or more triangles, then those triangles must be congruent.
Answer:
Number of small cups of lemonade that was sold by Ashley = 98
Number of large cups of lemonade that was sold by Ashley = 57
Step-by-step explanation:
Let x = number of small cups of lemonade that was sold by Ashley.
Let y = number of large cups of lemonade that was sold by Ashley.
x small cups of lemonade was sold for $1.25 and y large cups of lemonade was sold for $2.50. The total cost was $265. This means
1.25x + 2.5y = 265 - - - - - - -1
Ashley sold a total of 155 small and large cups of lemonade. This means
x + y = 155 - - - - - -2
Substituting x = 155-y into equation 1,
It becomes
1.25(155-y) + 2.5y = 265
-1.25y + 2.5y = 265
- 1.25y + 2.5y = 265 -193.75
1.25y = 71.25
y = 71.25/1.25
y = 57
x = 155-y = 155-57
x = 98
Answer:
no solutions
Step-by-step explanation:
x + 2y = 1
y = − 1/ 2 x + 4
Substitute the second equation into the first
x + 2(-1/2x+4) = 1
Distribute
x -x +8 = 1
Combine like terms
8=1
This is never true so there are no solutions