Answer:
7
Step-by-step explanation:
Given that there are 5 number cards.
They are 2,5,7,8,9
Total of all numbers in the cards = 2+5+7+8+9= 31
One card is removed say with number x.
Now sum new would be =31-x .. i
Average of remaining 4 cards = 6
So sum of remaining 4 cards = 6(4) = 24 ... ii
i and ii represent the sum of remaining 4 cards. Hence they should be equal
31-x =24
Subtract 31 from both sides to get
-x=-7
Or x =7
Answer:
AC is the longest side
AB is the shortest side
Step-by-step explanation:
We can find the third angle
A+B+C = 180
55+80+C = 180
135+C = 180
C = 180-135
C =45
The longest side is opposite the largest angle
B is the largest angle so AC is the longest side
C is the the smallest angle so AB is the shortest side
ANSWER: Multiply and Divide from left to right
To do this question we must follow the rules of PEMDAS. The first step would be to evaluate the equation given to us in the parentheses. To solve that we would have to use PEMDAS once again which tells us to multiply 2 x 2 before we add 3, so we get 7. Now that there is no more Parentheses, our second step is to evaluate each Multiplication and Division expression from left to right. This would start by dividing 63 by 7 to get 9.
Answer:
Relationship is linear as r is closest to 1.
Step-by-step explanation:
From statistics we know that,
![\text{Corelation Coefficient}=r=\dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]]}}](https://tex.z-dn.net/?f=%5Ctext%7BCorelation%20Coefficient%7D%3Dr%3D%5Cdfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2-%28%5Csum%20y%29%5E2%5D%5D%7D%7D)
Putting all the values from the table,
we get corelation factor as 0.9995
Therefore, the relationship is linear as r is closest to 1.
The Undefined term that is used to define an angle is a point.
<h2>Further Explanation: </h2><h3>Angle</h3>
- An angle is defined as the union of two rays with a common endpoint.
- The common end point is known as the vertex of the angle while the rays are known as the sides of the angle.
<h3>A ray </h3>
It is a part of a line with one end point and proceeds on in one direction.
<h3>Naming of angles</h3>
- Angles can be named in three different ways;
- Using three Capital letters such as ∠ PQR, or ∠BCD. The middle letter represents the vertex of the angle. Therefore, the angles above are read as "angle PQR" and angle BCD.
- Using the Vertex of the angle. For example, in the case of ∠PQR, can also be called angle Q, while ∠BCD can be called angle C.
- Angles can also be named by placing any number or symbol at the vertex in the interior of the angle. Such that angles can be called angle 1 or angle 3 , or angle 5, and so on.
- Angles are measured using a tool known as a protractor
<h3>Measuring of an angle using a protractor</h3>
- To measure the angle, the mid-point of a protractor is placed on the vertex of the angle.
- Then lining up one side of the angle with the zero line of the protractor.
- Then read the degrees where the other side crosses the number scale.
Keywords: Rays, angles, properties of angles, measurement of angles
<h3>Learn more about;</h3>
Level: Middle school
Subject: Geometry
Topic: Angles
