Answer:
Its the last one: a translation 2 units right and 4 units down.
Step-by-step explanation:
To get from point E (1,3) to E' (3-1) you add 2 units to the x coordinate since the x-axis goes from left to right and moving to the right means its positive and then you subtract 4 from the y coordinate since the y axis is going up and down and when you move -4 points you move down 4 points. You do this to every other point get the new figure.
Answer:
782.5inch³
Step-by-step explanation:
<u>The question is on volume of a prism and that of a cylinder</u>
<u>Finding the volume of the prism</u>
V=Bh where B is the base area and h is the height
Base area=14"×14"=196 inch²
height =8"
v=196×8= 1568 in³
<u>Finding volume of the cylinder</u>
v=r²h where r is the radius of cylinder and h is the height of cylinder
r=10/2=5 inches and h=10 inches
v=3.142×5×5×10=785.5inch³
<u>The difference in volume</u>
Difference in volume=1568-785.5=782.5inch³
Answer: m∠ABF = 120°
Concept:
Here, we need to know the idea of the <u>corresponding angle theorem </u>and <u>linear pair postulate</u>.
The corresponding angle theorem states that if a transversal cuts two parallel lines, their corresponding angles are congruent.
The linear pair postulate states that two angles that form a linear pair are supplementary.
Solve:
<u>Given information</u>
m∠ABF = m∠ABF = 2x + 3x
- According to the corresponding angle theorem, ∠ABF is congruent to ∠BCI which is 2x + 4x.
m∠BCH = 3x
Total angle = 180°
- ∠ABF and ∠BCH are linear pairs which means they form a supplementary angle.
<u>Given equation</u>
m∠ABF + m∠BCH = Total Angle
<u>Substitute values into the equation</u>
2x + 4x + 3x = 180
<u />
<u>Combine like terms</u>
9x = 180
<u>Divide 9 on both sides</u>
9x / 9 = 180 / 9
x = 20
m∠ABF = 2x + 4x = 2 (20) + 4 (20) = 40 + 80 = <u>120°</u>
Hope this helps!! :)
Please let me know if you have any questions
Opposite- 5/8
reciprocal- -8/5
absolute value- 5/8
The postulate that justifies the statement below the given diagram is the: angle addition postulate.
<h3>What is the Angle Addition Postulate?</h3>
According to the angle addition postulate, the sum of the measures of two angles that make up a bigger equals the measure of the bigger angle.
Two small angles, MRO and MRS add up to give the bigger angle, SRO, which contains both angles.
Therefore, the postulate that justifies, m∠MRO + ∠MRS = m∠SRO, is: angle addition postulate.
Learn more about the angle addition postulate on:
brainly.com/question/24746945
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