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il63 [147K]
3 years ago
5

Which statement must be true if APQR = ASTU?

Mathematics
1 answer:
VMariaS [17]3 years ago
5 0

Answer:

(a) PQ \sim ST

Step-by-step explanation:

Given

See attachment

Required

Which must be true

\triangle PQR \simeq \triangle STU implies that:

The following sides are corresponding

PQ \sim ST

PR \sim SU

QR \sim TU

The following angles are corresponding

\angle P \sim \angle S

\angle Q \sim \angle T

\angle R \sim \angle U

From the given options, only option (a) is true because:

PQ \sim ST

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Henry was thinking of a number Henry halves it and gets a an answer of 12.4 what was the original number
jeka94
Answer: 24.8
Explanation: If Henry is halving a number, that means he's dividing it by 2, getting two halves. You would get the original number by undoing that division, or multiplying the product by 2.
2 x 12.4 = 24.8
3 0
3 years ago
Andre owned a 1/4 acre lot. He wanted to construct a 120’ x 80’ tennis court on the lot. How many square feet will remain uncove
OLga [1]

The area of the tennis court is computed by multiplying the dimensions given,

                               A = 120' x 80'

                               A = 9600 ift


Then, we convert the area in ft² to acres,

                       A = (9600 in²)(2.3 x 10^-5/ 1 in²)

                           A = 0.24 acre


The portion of land remaining is,

                  A of remaining = 0.25 acre - 0.24 acre

                                           = 0.1 acre


The remaining portion is for Andre's studies.


This, 0.1 ft² is equal to the 4% of the given area of the court. 

3 0
3 years ago
Which ratio is equal to 3: 5?
Vladimir [108]

Answer:

three to five or three over five  that one is like division

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please solve the problem.
Deffense [45]
OK.  I did it, and I have the solution.
_____________________________________

The length of the deck is  (5 + 2x) .
The width of the deck is   (4 + 2x) .

If the deck didn't have that big hole in the middle where the pool is,
then its area would be

                 (5 + 2x) · (4 + 2x) .

When you multiply that all out, you get    Area = 4x² + 18x + 20

and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write

                                             4x² + 18x + 20  =  90 .

Subtract 90 from each side:    4x² + 18x - 70  =  0
Divide each side by 2 :           2x² + 9x - 35  =  0

You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
___________________________________________________

That makes the deck  10 yds high and 9 yds wide.

Total area of the whole big rectangle, (deck + pool ),  =  90 yds².
 
3 0
3 years ago
The function f(x) = 25(4)^x represents the growth of a bird population every year in a national park. Kyle wants to manipulate t
Natasha_Volkova [10]

f(x)=25(4)^{\frac{x}{2}} will be the function to calculate population every half year.

Further explanation:

The given formula is:

f(x) = 25(4)^x

In the given formula, x represents the amount of time in years. So, in order to convert the given function for yearly calculation of population, to find the population every half year the time will be converted into half. This means that instead of x, x/2 will be used.

So the new function will be:

f(x) = 25(4)^{\frac{x}{2}}

Keywords: Population growth, Population growth function

Learn more about population growth at:

  • brainly.com/question/10689103
  • brainly.com/question/118412

#LearnwithBrainly

6 0
3 years ago
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