True or false, two figures are mathematically similar if the angles change by the same scale factor.
Answers
Answer:
true
Step-by-step explanation:
when a figure is changed by a scale factor, it is similar. The angles and shape stay the same, but the size changes.
Related Questions
Chris cut a rope into two pieces. One piece was 11.36 meters long and the other piece was 13.46 meters long. About how long was the rope before Chris cut it? Round each length to the nearest tenth to estimate the total length of the original piece of rope before Chris cut it.
Carly tried to solve an equation step by step. \qquad\begin{aligned} -4(7j+2)&=10\\\\ \\ 7j+2&=-40&\green{\text{Step } 1}\\\\ \\ 7j&=-42&\blue{\text{Step } 2}\\\\ \\ j&=-6&\purple{\text{Step } 3}\\\\ \end{aligned} −4(7j+2) 7j+2 7j j =10 =−40 =−42 =−6 Step 1 Step 2 Step 3 Find Carly's mistake.
The product of two consecutive integers is 110. find the integers?
Find the angle between the given vectors to the nearest tenth of a degree.u = <-5, -4>, v = <-4, -3>
Answers
Answer: -630
Step-by-step explanation:
Given the nth term of a sequence;
a(n)=a(n−1)⋅(−9) and the first term of the sequence a(1) as 35, the third term of the sequence can be gotten by using the formula at when n = 3
If n = 3 and a(1) = 35;
a(3) = 35(3-1)•(-9)
a(3) = 35×2×-9
a(3) = 70×-9
a(3) = -630
There the 3rd term of the series will give us -630 according to the nth term of the formula given.
Final answer:
The problem is about a recursive sequence where each term is the previous term multiplied by -9. After applying this rule twice, it is found that the 3rd term of the sequence is 243.
Explanation:
The problem provided indicates a recursive sequence, where each term is based on the previous term. The sequence is defined as a(1) = 3 and a(n) = a(n - 1) ⋅ (−9), which essentially means that each subsequent term is the previous term multiplied by -9.
To find the 3rd term, we apply this rule twice starting from the first term:
a(2) = a(1) * (-9) = 3 * (-9) = -27
a(3) = a(2) * (-9) = -27 * (-9) = 243
Therefore, the 3rd term of the sequence is 243.
Learn more about Recursive sequence here:
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Answers
Answers
Answer:
14 cm
Step-by-step explanation:
1. First, we need to find the total volume of Tank A. Tank A is a rectangular prism, and the volume of a rectangular prism is given by the formula length x width x height. In this case, it's...
50 cm x 70 cm x 70 cm = 245,000 cubic cm
2. Tank A was 2/7 full, so we need to find out how much water was in Tank A.
To find this, we multiply the total volume by the fraction that's full:
245,000 cm³ * 2/7 = 70,000 cm³.
3. This 70,000 cm³ of water was then poured into Tank B. We want to find out how high the water is in Tank B, so we need to divide the volume of the water by the base area of Tank B.
4. The base area of Tank B is given as 5000 cm². So, the height of the water in Tank B is 70,000 cm³ / 5000 cm² = 14 cm.
So, the height of the water in Tank B is 14 cm.
Hope this helps! :)
Answers
Answer:
AB║CD and AD║BC
Step-by-step explanation:
By the property of a parallelogram,
" Consecutive angles of a parallelogram are supplementary"
In the figure attached,
∠DCB and ∠CDA are the supplementary angles. Therefore ABCD will be a parallelogram.
[Given: m(∠DCB) + m(∠CDA) = 180°]
And the pair of opposite sides of the parallelogram ABCD will be parallel.
AD║BC and AB║CD
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Answer:
I would think 2 for my answer
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Jane has $55, Bill has $45, Tricia has $28, and Steve has $7.
Given that
Jane has $10 more than Bill, Bill has $17 more than Tricia, and Tricia has $21 more than Steve.
If the total amount of all their money is $135.
We have to determine
How much money does each have?
According to the question
Let the amount Steve be x,
The total amount Jane has is (10 +17+21+x)
The total amount Bill has is (17+21+x)
The total amount Tricia has is (21+x)
Then,
The total amount of all money = Jane money + Bill money + Tricia money + Steve money
The Steve has $7.
Therefore,
The total money Jane has = (10 +17+21+x) = 48 + 7 = $55
The total money Bill has = (17+21+x) = 38 +7 = $45
The total money Tricia has = (21+x) = 21 +7 = $28
Hence, Jane has $55, Bill has $45, Tricia has $28, and Steve has $7.
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