Solution:
There are four kinds of rigid transformations.
1. Reflection
2. Rotation
3. Translation
4. Dilation
1. The Meaning of term reflection is when we reflect something through a line or mirror the distance of object from line of reflection on both sides are same. The two images Preimage and image are congruent.
2. Rotation means rotating an object or geometrical shape through an angle. An angle can be of any measure that is 0,30°,45°,90°,...... In rotation the two , image and preimage are congruent.
3. While in translation , we shift something from a place to another place keeping the two images,that is image and preimage are congruent.
In all three,either in reflection, rotation,or translation there is no change in shape and size, the two that is image and Preimage are congruent.
1. A. 550 meters.
this is because 2.5 km = 2500 meters, since there are 1000 meters in one kilometer.
therefore, 2500 - 1950 = 550 meters.
2. B. 126 inches.
this is because there are 12 inches in one foot, so we multiply 12 by 10 since there are 10 full feet. this leaves us with 120. then, we add half a foot, which is 6 inches. therefore, it is 126 :)
let's bear in mind that sin(θ) in this case is positive, that happens only in the I and II Quadrants, where the cosine/adjacent are positive and negative respectively.
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Answer: No. If two lines have the same slope they are parallel lines (or they are the same line), so they cannot intersect at one point. Because the triangles are congruent, the angles where the lines meet the x-axis are congruent. Because the lines form the same angle with the x-axis, they are parallel.
Step-by-step explanation:
Answer:
x = -4/5 and -1/2
Step-by-step explanation:
"Finding zeroes" means find the x-values that make f(x) = 0, so we have...
0 = 10x² + 9x + 2
Use quadratic equation to solve...
x = [-9 ± √(9² - 4(10)(2))]/[2(10)]
x = [-9 ± √(81 - 80)]/20
x = [-9 ± √1]/20
x = [-9 ± 1]/20
x = (-9 + 1)/20 and (-9 - 1)/20
x = -8/20 and -10/20
x = -4/5 and -1/2
