First, you should graph the points. For the first number, called the X-Axis, you should to the right or left, and for the second number, called the Y-Axis, you should go up or down.
To find the distance between Point A and Point C, you should simply just count the number of intersections between them (4).
Angle B is a right angle because if the triangle is bisected at B, it will leave a right angle on either side. Therefore, to label it, you should simply just draw a line through Point B all of the way to line (A,C).
The type of triangle you have drawn is an isosceles, because it has 2 equal angles and 2 equal sides.
We know both of the sides that are unknown will be the same because the triangle is bilateral. Then, we can use the bisection we made earlier to solve for the unknown sides using Pythagorean Theorem. Since earlier, we know the entire bottom is 4, we know half of the bottom is 2. We can also see that the height of the triangle is 2. We then plug those numbers into the Pythagorean Theorem (A^2*B^2=C^2) which makes the value of C^2=16. We then take the square root of C^2 and 16 to see that both unknown sides are 4.
He can individually store all 38, or he can put 3 boxes of ten with 8 individuals, or he can 3 boxes of ten and one box that only contains eight.
Answer:
25 times
Step-by-step explanation:
Scale factor is the ratio of dimensions of the image and the preimage.
Scale factor = 
Since area of a figure is the square of dimensions.
Area = Length × Width
Therefore, area scale factor will be the ratio of square of the dimensions of image and preimage.
Area scale factor = 
= (Scale factor)²
= 5²
= 25
Therefore, area of the image will be 25 times the area of the preimage.
Answer:
infinite solutions
Step-by-step explanation:
Answer: a. reject the null hypothesis, church attendance and marital status are dependent
Step-by-step explanation:
- If the obtained chi-square value is greater than the critical chi square value then we reject the null hypothesis.
Given : A Chi square test has been conducted to assess the relationship between marital status and church attendance. The obtained Chi square is 23.45 and the critical Chi square is 9.488.
Null hypothesis : There is no relationship between the variables.
Alternative hypothesis : There is a relationship between the variables.
Here we can see that the obtained chi-square (23.45) value is greater than the critical chi square value (9.488) , then we have to reject the null hypothesis.
So the correct answer is reject the null hypothesis, church attendance and marital status are dependent.
