What is the next three terms in 5,2,-1
1 answer:
You might be interested in
Answer:
The answer is option A : 5%
Step-by-step explanation:
We have the following information in percentage:
Employees taking winter vacation= 75
Employees taking both winter and summer vacation= 40
Employees taking none vacation = 20
We can assume the situation as following:
Winter + Summer - Both + Neither = 100
We get;
75 + Summer - 40 + 20 = 100
So, summer = 45
45 people take vacations in summer. But 40 of them take vacation in winters too.
So, people taking vacations in summer but not winter means summer only.
This is : %
Therefore, the answer is option A : 5%
Answer:
Part 1) The length of DC is
Part 2) The measures of the angles in the isosceles triangle are
The base angles are 67.4° and the vertex angle is 45.2°
Step-by-step explanation:
step 1
In the right triangle BDC Find the length of DC
Applying the Pythagoras Theorem
we have
substitute
step 2
Find the measures of internal angles in the isosceles triangle ABC
we know that
∠DAC=∠DCA ------> base angles
∠ADC ------> vertex angle
<em>Find the measure of angle DCA</em>
In the right triangle BDC
sin(∠DCA)=BD/DC
substitute the values
sin(∠DCA)=12/13
∠DCA=arcsin(12/13)=67.4°
so
∠DAC=∠DCA=67.4°
<em>Find the measure of angle ∠ADC</em>
Remember that the sum of the internal angles of a triangle must be equal to 180 degrees
so
∠DAC+∠DCA+∠ADC=180°
substitute
67.4°+67.4°+∠ADC=180°
∠ADC=180°-134.8°=45.2°