Answer:
D. 6 1/12
Step-by-step explanation:
First add the like fractions.
3 2/3 + 2/3 = 3 4/3 (Don't worry about simplifying yet)
Now find the least common multiple for 3 4/3 and 1 3/4 so we can add them.
<h2>
REMEMBER: You can only add and subtract fractions when they have the same denominator.</h2>
3: 3, 6, 9, 12
4: 4, 8, 12
In this case 12 is the least common multiple.
3/4 x 3/3 = 9/12 9/12
4/3 x 4/4 = 16/12
Add those two fractions then add the whole numbers and put it in front.
4 25/12
Simplify
6 1/12
A point and a line.
<h3>Further explanation
</h3>
Ray is part of the line with one endpoint. Ray is an endless straight path in one direction from a starting point, e.g.,
.
The arrow above the point shows the direction of the longitudinal beam. The length of the ray cannot be calculated.
Undefined terms are basic figure that is not defined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.
These key terms cannot be mathematically defined using other known words.
- A point represents a location and has no dimension (size). It is labeled with a capital letter and a dot.
- A line is an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
- A plane is a flat surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.
<h3>Learn more
</h3>
- Which points are coplanar and noncollinear? brainly.com/question/4165000
- Definition of the line segment brainly.com/question/909890
- What are three collinear points on a line? brainly.com/question/5795008
Keywords: which pair of undefined terms, to define a ray, point, line, plane, endpoint, one direction, the arrow
First, add all the numbers together, which is 68. Then divided 100 by 68, which gives you the number 1.47, and that's your answer.
Answer:
We accept the null hypothesis and the population mean is $120.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 100
Sample mean,
= $120
Alpha, α = 0.01
Sample standard deviation, s = $25
First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
Formula:

Putting all the values, we have
p-value one tail= 0.024
p-value two tail= 0.048
Conclusion:
Since the p-value for two tailed test is greater than the significance level, we fail to reject the null hypothesis and accept it.
Thus, the population mean is $120.
Answer:
The corresponding angles are:
∠ 1 and ∠ 5
∠ 2 and ∠ 6
∠ 3 and ∠ 7
∠ 4 and ∠ 8
Step-by-step explanation:
When two parallel lines are crossed by another line, the angles in matching corners are called corresponding angles and they are equal in measures
∵ Lines s and t are parallel
∴ s // t
∵ Line r intersects lines s and t
∴ Line r is the transversal
∵ Corresponding angles are formed
- Look to the attached figure
∴ ∠ 1 ≅ ∠ 5 ⇒ corresponding angles
∴ ∠ 2 ≅ ∠ 6 ⇒ corresponding angles
∴ ∠ 3 ≅ ∠ 7 ⇒ corresponding angles
∴ ∠ 4 ≅ ∠ 8 ⇒ corresponding angles
The corresponding angles are:
∠ 1 and ∠ 5
∠ 2 and ∠ 6
∠ 3 and ∠ 7
∠ 4 and ∠ 8