Answer:
B'(-3, 2)
Explanation:
In the triangle, point B is at (3, 2).
We want to find the coordinates of B', the image of B when triangle ABC is reflected over the y-axis.
When a point (x,y) is reflected over the y-axis, the transformation rule is:
![(x,y)\to(-x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%28-x%2Cy%29)
This means that the x-coordinate changes to the opposite sign while the y-coordinate stays the same.
Applying this rule, we have:
![B(3,2)\to B^{\prime}(-3,2)](https://tex.z-dn.net/?f=B%283%2C2%29%5Cto%20B%5E%7B%5Cprime%7D%28-3%2C2%29)
Thus, the coordinates of point B' after triangle ABC is reflected across the y-axis will be B'(-3, 2).
Answer:
Step-by-step explanation:
49p9q3r24 7² 3² 3 24
81p12q15r12 9² 12 15 12
121p9q3r6 11² 3² 3 6
343p6q21r6 342 6 21 6
Proportion women /men = 2/7 = x/490 7x= 2· 490 :7
X = 2·70 = 140
Using the tangent ratio, the height of the lighthouse from the top of the cliff ≈ 161.2 meters.
<h3>What is the Tangent Ratio?</h3>
For solving a right triangle, the tangent ratio that can be applied is: tan ∅ = opposite length / adjacent length.
Find the height of the light house and the cliff using the tangent ratio:
tan 51.3 = height/980
Height of lighthouse + cliff = (tan 51.3)(980)
Find the height of the cliff only using the tangent ratio:
tan 47.3 = height/980
Height of cliff = (tan 47.3)(980)
Height of the lighthouse from the top of the cliff = (tan 51.3)(980) - (tan 47.3)(980)
Height of the lighthouse from the top of the cliff ≈ 161.2 meters.
Learn more about the tangent ratio on:
brainly.com/question/4326804
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