Answer:
-x -y = 5
Step-by-step explanation:
the Answer will be 5
14/4 = 7/2
5/4 cannot be simplified any further.
I wasn't sure if this was what you were asking but from the little information that you've supplied, I'm guessing you're asking for 1/4 of the parameters.
Answer:
Step-by-step explanation:
Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.
The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.
The system is
6h + 1d = 40
4h + 3d = 36
The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,
1d = 40 - 6h.
Now that we know what d equals, we can sub it into the second equation where we see a d. In order,
4h + 3d = 36 becomes
4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!
4h + 120 - 18h = 36 and
-14h = -84 so
h = 6.
That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:
1d = 40 - 6(6) and
d = 40 - 36 so
d = 4.
That means that each duck costs $4.
<span>This is a 30 - 45 - 105 angled triangle, so the answer would be A.
"</span><span>Largest angle = 105, Middle angle = 45, Smallest angle = 30"</span>
Answer: SAS similarity postulate
Step-by-step explanation:
According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.
In triangles, QNR and MNP,
![\frac{QN}{MN} = \frac{QM+MN}{MN} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}](https://tex.z-dn.net/?f=%5Cfrac%7BQN%7D%7BMN%7D%20%3D%20%5Cfrac%7BQM%2BMN%7D%7BMN%7D%20%3D%20%5Cfrac%7B10%2B8%7D%7B8%7D%20%3D%20%5Cfrac%7B18%7D%7B8%7D%20%3D%20%5Cfrac%7B9%7D%7B4%7D)
![\frac{NR}{NP} = \frac{NP+NR}{NP} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}](https://tex.z-dn.net/?f=%5Cfrac%7BNR%7D%7BNP%7D%20%3D%20%5Cfrac%7BNP%2BNR%7D%7BNP%7D%20%3D%20%5Cfrac%7B10%2B8%7D%7B8%7D%20%3D%20%5Cfrac%7B18%7D%7B8%7D%20%3D%20%5Cfrac%7B9%7D%7B4%7D)
![\implies \frac{QN}{MN} = \frac{NR}{NP}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7BQN%7D%7BMN%7D%20%3D%20%5Cfrac%7BNR%7D%7BNP%7D)
Also,
(Reflexive)
Thus, By SAS similarity postulate,
![\triangle QNR\sim\triangle MNP](https://tex.z-dn.net/?f=%5Ctriangle%20QNR%5Csim%5Ctriangle%20MNP)
⇒ Option first is correct.