Answer:
b)
Step-by-step explanation:
Answer:
The correct option is A.
Step-by-step explanation:
It is given that DEFG is a parallelogram.
Draw the diagonals DF and EG. Place point H where DF and EG intersect.
In triangle HGD and HEF
,
∠HGD ≅ ∠HEF (Alternate Interior angle)
∠HDG ≅ ∠HFE (Alternate Interior angle)
By the definition of a parallelogram, the opposite sides of a parallelogram are congruent.
DG ≅ EF (Opposite sides of parallelogram)
According to ASA postulate, two triangles are congruent if any two angles and their included side are equal in both triangles.
So, by using ASA criterion for congruence we get,
ΔDGH ≅ ΔFEH
Since corresponding sides of congruent triangles are congruent, therefore
GH ≅ EH (CPCTC)
DH ≅ FH (CPCTC)
Option A is correct.
Answer:
x = $3.50; y = $2.25
Step-by-step explanation:
First, come up with your two equations where x= price of walnuts and y= price of chocolate chips: 8x + 4y = 37 and 3x + 2y = 15. Solve the first equation.
3x + 2y = 15
3x = 15 - 2y
x = (15 - 2y)/3
Plug in the answer to your second equation.
8(15 - 2y)/3 + 4y = 37
(120 - 16y)/3 + 4y = 37
120 - 16y + 12y = 111
120 - 4y = 111
-4y = -9
y = 2.25
Plug in your answer to find <em>x.</em>
3x + 2(2.25) = 15
3x + 4.5 = 15
3x = 10.5
x = 3.5
Check your equation.
1) 3(3.5) + 2(2.25) = 15
10.5 + 4.5 = 15
15 = 15
2) 8(3.5) + 4(2.25) = 37
28 + 9 = 37
37 = 37
Answer:
d. The common ratio is 1.1
Step-by-step explanation:
To see if the data has a common ratio or common difference, we have to see if the division between them is equal(common ratio), or if the difference between them is equal(common difference).
In this case, since
, it has a common ratio.
To find it, we divide consecutive terms. For example:

So the correct answer is:
d. The common ratio is 1.1