Answer:
1 1/8
Step-by-step explanation:
3/4 = 6/8 ( 3x2= 6 numerator ) ( 4x2= 8 denominator )
6/8 + 3/8 = 9/8 = 1 1/8
Answer:
68
Step-by-step explanation:
Angle R is 124 which also makes angle FDE 124 because they are opposites which make them congruent. To find angle FDA you can make the equation 124 + ? = 180 then you subtract 124 from 180 to get 56 which is your FDA.
Since you know angle FDA and angle DAF are congruent you know that DAF is also 56. Then you multiply 56 by 2 (because 2 angles are 56) to get 112 and subtract that from 180 to get 68. That is your angle DFA
Answer:
463 tomato plants
Step-by-step explanation:
Add 276 (amount sold) by 187 (amount left).
276+187=463
Answer:PA = 6.6 units
XP = 2.4 units
Explanation:1- We are given that:perimeter of RXA = 24 units
RX = 4
RA = 11
This means that:
XA = 24 - 4 - 11 = 9 units
2- For XA:XA = XP + PA
XA = 9 units
This means that :
XP + PA = 9 units
XP = 9 - PA
3- Triangle angle bisector theorem:"In a triangle, the angle bisector divides the opposite side into two segments that are proportional to the other two sides"
Applying this to the given triangle, we can set the ratio as follows:
We have:
XP = 9 - PA
RX = 4
RA = 11
4- Substitute with the givens in the above ratio and solve for PA as follows:
11(9-PA) = 4(PA)
99 - 11PA = 4PA
99 = 15PA
PA = 99/15
PA = 6.6 units
5- Substitute to get XP as follows:XP = 9 - PA
XP = 9 - 6.6
XP = 2.4 units
Hope this helps :)
There are two interpretations we could go for:
- Adding 4 to the end means we add 4 to each y coordinate (since y = x). This <u>shifts the entire line 4 units up</u>
- Replacing x with x+4 means the xy axis is shifted 4 units to the right. If the line y = x is held completely still while the axis moves, then it gives the illusion the line is moving <u>4 units to the left</u>
Check out the diagram below.
Point A on the red line y = x has two locations it could end up. If we follow method 1, then point A shifts upward to point B. Do this to every point on the red line and the entire red line shifts up 4 units.
Or if you decide to shift 4 units to the left (method 2), then point A moves to point C's location. Doing this to every point on the red line shifts the entire line 4 units to the left.