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.
The fifth term in the sequence would be 161.
Step-by-step explanation:
We have to find the fifth term in the sequence 
Given that
a1 = 1 (that is the first term)
If we follow the formula, the value of every term depends on the value of immediate lower term. Therefore, the a2 can be calculated by putting 2 in place of n in above equation
as a1 = 1
Similarly,
as a2 = 5
and
as a3= 17
and
as a4 = 53
Therefore, the fifth term in the sequence would be 161.
Learn more:
The following links have more information about sequencing
brainly.com/question/7221312
Keywords: sequence, arithmetic series
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They charge $30 per month as a base so that is y
They also charge $0.25 per text message, this is x
so $0.25x+$30y=$59.50
first subtract 30 from both sides to get x alone
$0.25x=$29.50
To find amount of text messages sent, we have to divide
$29.50/$.25
29.50/.25=118
This person sent 118 text messages
- Distance Formula:
- Product rule of radicals: √ab = √a x √b
Using our two points, we can solve for the distance as such:
Now our exact answer may be √116, however using the product rule of radicals we can further simplify the radical as such:
√116 = √4 x √29 = 2√29.
- Exact Answer: <u>√116 or 2√29</u>
- Approximate Answer: <u>10.77</u>
Step-by-step explanation:
1100-825= Markup
Markup= 275
