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sesenic [268]
3 years ago
7

Select the correct similarity statement.

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

Answer:

∆STR ~ ∆RTQ

Step-by-step explanation:

For two fugures to be considered similar, it means the corresponding sides are proportional, and as such, the ratio of their corresponding sides are equal.

However, the corresponding angles of two similar figures are the same and equal.

Taking a look at the figure of the triangle given, ∆STR is a right angle triangle, and it is similar to ∆RTQ as the angle formed at <T in ∆RTQ = 90°.

<T in ∆STR = <T in ∆RTQ.

Therefore, the correct similarity statement is ∆STR ~ ∆RTQ.

The last option is correct.

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Martin had 100 trees in his orchard the first year. Each year after that, he
alexgriva [62]

Answer:

177

Step-by-step explanation:

This scenario can be modeled as an <u>exponential function</u>.

General form of an exponential function: y=ab^x

where:

  • a is the initial value (y-intercept)
  • b is the base (growth/decay factor) in decimal form
  • x is the independent variable
  • y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

If the number of trees <u>increase</u> by <u>10% each year</u>, then the number of trees each year will be 110% of the number of trees the previous year.  Therefore, the <u>growth factor is 110%</u>.

Given:

  • a = 100 trees
  • b = 110% = 1.10 (in decimal form)
  • x = time (in years)
  • y = number of trees in the orchard

Substituting the given values into the function:

\implies y=100(1.10)^x

(where x is time in years and y is the number of trees in the orchard)

To find how many trees are in the orchard in the 6th year, input x = 6 into the found equation:

\implies 100(1.10)^6=177.1561=177\: \sf (nearest\:whole\:number)

Therefore, Martin had 177 trees in his orchard in the sixth year.

7 0
2 years ago
Read 2 more answers
What is 12x34x18x241x54x83
Andrews [41]

Answer:

7,932,709,728

8 0
4 years ago
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Two-thirds of a number is negative six. Find the number.<br><br> a. -9<br> b. -8<br> c. -4
lianna [129]
Let the number be x; 

(2/3)x=-6 
2x=-6×3
2x=-18 
x=-9 

Therefore, the number is -9. 

Hope I helped :) 
4 0
3 years ago
Read 2 more answers
What is the range for the graph shown?
Andrej [43]

Answer:

D. -2 ≤ y ≤ 3

Step-by-step explanation:

This is because range is based on y-values and so the lowest y-value here is -2 and the greatest one is 3, inclusive.

6 0
3 years ago
Read 2 more answers
Anyone know the answer?
BabaBlast [244]

Answer:

95 degrees

Step-by-step explanation:

One and 4 are vertical, meaning they are congruent

4 and 8 are corresponding meaning they are congruent

8 & 7 are supplementary meaning they add up to 180 degrees

<u>Hope this helps :-)</u>

7 0
4 years ago
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