Answer:
The Proof is below.
Step-by-step explanation:
Given:
ABCD is a Parallelogram
Construction:
Draw diagonal AC
To Prove:
AB ≅ CD
BC ≅ DA
Proof:
ABCD is a Parallelogram. ...............Given
BC || DA ........Opposite sides of Parallelogram are Parallel
AB || CD ........Opposite sides of Parallelogram are Parallel
Now,
In ΔABC and ΔCDA
∠BCA ≅ ∠DAC ...……….{Alternate Angles are equal since BC || DA}
∠BAC ≅ ∠DCA …………..{Alternate Angles are equal since AB || CD}
AC ≅ AC …....…….{Reflexive Property}
ΔABC ≅ ΔCDA ..........….{By Angle-Side-Angle Congruence Postulate}
AB ≅ CD ....{Corresponding parts of Congruent Triangles are Congruent}
BC ≅ DA ....{Corresponding parts of Congruent Triangles are Congruent}
15 ppl would fit
Bc if you find the area of the dance floor which is 20 feet times 30 feet it equals 60 feet. Then multiply how much space someone takes which is 2 feet times 2 feet equals 4 feet. Then you divide the area of the dance floor by the number for F space one person takes up which is 60÷4. You would get 15 people
Volume can be defined as the <u><em>capacity of a given container or a certain object.</em></u>
The radius of the cone is 2 inches.
From the question, we are given the following parameters:
<em>The height of the cone = 12 inches</em>
<em>The volume of the cone = 16 π in³</em>
The formula to find the<u> radius of the cone </u>is given as:
√3V/πh
= √ 3 x 16π / π x 12
= 2 inches
Therefore, the radius of the cone is 2 inches.
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Answer:
The number of bacteria after days is given by
where is the initial number of bacteria.
Step-by-step explanation:
The number of bacteria in the sample triples every 10 days, this means after the first 10th day, the number of bacteria is
where is the initial number of bacteria in the sample.
After the 2nd 10th days, the number of bacteria is
after the 3rd day,
and so on.
Thus, the formula we get for the number of bacteria after the nth 10-days is
where is is the nth 10-days.
Since, is 10 days, we have
or