Parallel lines s and t are cut by a transversal r. Parallel lines s and t are cut by transversal r. Clockwise from top left, the
angles formed with r and s are 1, 2, 3, 4; the angles formed with r and t are 5, 6, 7, 8. Which angles are corresponding angles?
2 answers:
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
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Answer:
262 square feet of the ramp will be painted red.
Step-by-step explanation:
The lateral surface is surface area of the sides of the ramp without including the top and bottom faces
The ramp shown has three surfaces
The 2 sides are triangles with length 20 and height 8.5
The back is a rectangle shape with length 12 and height 8.5
Step 1: Finding the Area of triangle
The area of the triangle =
The area of the triangle =
The area of the triangle =
The area of the triangle = 85 square feet
Area of 2 triangles = = 170
Step 2: Finding the Area of Rectangle
Area of rectangle =
so,
Area of back rectangle = = 102 square feet
Step 3: Finding the total lateral surface area
Total Lateral Surface Area
= Area of triangle + Area of Rectangle
= 272 square feet
The sample size of the data set is 9.The range of the data is 10 - 15.
Group the data into 5 bins according to the table shown below.
Bin Count----- --------- 10 3 11 1 12 2 13 0 14 2 15 1
A plot of the histogram n shown in the figure.The data is skewed toward a value of 10, which has the largest frequency of 3.The average is 12, and the median is 12.
Group the data into 5 bins according to the table shown below.
Bin Count----- --------- 10 3 11 1 12 2 13 0 14 2 15 1
A plot of the histogram n shown in the figure.The data is skewed toward a value of 10, which has the largest frequency of 3.The average is 12, and the median is 12.
Answer:
Step-by-step explanation:
"5 units up" would be "5 added to the current y-value".
"3 units to the left" would be "3 subtracted from the current x-value".
So, the translation rule is:
Therefore, Option C should be the correct answer.
<em>Brainilest Appreciated. </em>