Answer:
x-10
Step-by-step explanation:
you have to do what is in the parenthesis first. Do distributive property to
-(x-8)
-(x)-(-8)= -x+8
now you have 5-(3-x+8)
Do distributive property again
5-3+x-8
x-8+2
x-10
hope this helps ~D~
Answer:
c
Step-by-step explanation:
Answer:
= X + 8.2
Step-by-step explanation:
Answer:
y=-9/8x+7
Step-by-step explanation:
When finding slope from the graph, the coordinate that has a zero where x is supposed to be is the y-intercept. To put it into slope-intercept form it is important to remember y=mx+b. B is the y-intercept so you'll take the y value and put it where b is. So in this case you'll have y=mx+7. To find the slope you have to find the distance between the two coordinates. So you'll see how many times you go up from -2 to 7, 9 times. Then you calculate how many times you go over from 8 to 0, 8 times. The 8 and the 9 are the two values of slope. When forming the slope you put the rise over the run. Or in other words, you put how many times you go up/down over how many times you go left/right. To determine if the slope is negative or positive you look at the line and if the values are getting smaller or the line is going from left to right, then it is negative. If the values are getting bigger or the line is going from right to left, then it is positive. In this case the values are getting smaller and the line is going from left to right which means this slope is negative. So you add a negative to 9/8 and replace m with what you just got (the slope). Your answer should look like this, y=-9/8x+7.
Answer:
D. Yes by SAS Similarity Postulate
Step-by-step explanation:
This is the answer because if you flip triangle LNM around to shape the DEF. Then you will see that:
1. angle D is congruent to angle L
2. angle E is congruent to angle N
3. angle F is congruent to angle M
4. angle E and N are both 90 degrees
Because (DE and LN) and (MN and FE) are similar and (E and N) are 90 degrees, then we do not need (FD and ML) to tell if triangle DEF and triangle LNM is similar or not. They are similar.
We next need to figure out if the triangles are similar by SSS (Side-side-side) Similarity Postulate or SAS (side-angle-side) Similarity Postulate. The SAS Similarity Postulate states that if you have 2 similar sides and 1 congruent angle, then the two shapes are similar. Right now we have 2 similar sides in (DE and LN) and (MN and FE) and 1 congruent angle that are both 90 degrees. This follows all the rules of the SAS Similarity Postulate, so that means that these two triangles are similar by SAS Similarity Postulate.
