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2 years ago

Given: AR ⊥ RS , TS ⊥ RS, AT=26, RS=24, AR=12 Find: TS

Mathematics

1 answer:

BabaBlast [244]2 years ago

3 0

Solution -

drawing a perpendicular from AQ to TS, we get a right angle triangle AQT

Using Pythagoras Theorem,

AT² = AQ² + QT²

⇒26² = 24² + QT² (∵ Due to symmetry AQ = RS)

⇒QT² = 676-576 = 100

⇒QT = 10

As TS = QT + QS = 12 + 10 = 22 ( ∵ Due to symmetry AR = QS )

∴ TS = 22 (ans)

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Implicit information requires the reader to combine details from the text with background knowledge to make a(n) . -guess -theor

klio [65]

The correct answer that would best complete the given statement above would be the third option: INFERENCE. Implicit information requires the reader to combine details from the text with background knowledge to make an inference. An inference is a conclusion that is based on evidence or reasoning.

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2 years ago

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Stabiliti daca marimile ale caror valori sunt trecute in tabelele urmatoare sunt direct proportionale.

kvv77 [185]

Vă rugăm să găsiți imaginea întrebării atașate mai jos:

Răspuns:

A este proporțională

B este proporțională

C nu este proporțional

D este proporțional

E nu este proporțională

F este proporțional

Explicație pas cu pas:

Pentru a determina proporționalitatea:

Obținem constanta proporționalității

Pentru valorile din tabelul 1;

Luând primul punct:

x = 1; y = 5

1 α 5

1 = 5k

k = 1/5

Test:

y = 15

x = k * y

x = 1/5 * 15; x = 3

Prin urmare; (a) este proporțională

B.)

x = 2; y = 6

2 α 6

2 = 6k

k = 2/6

k = 1/3

Test:

y = 15

x = k * y

x = 1/3 * 15; x = 5

Prin urmare; (b) este proporțională

C.)

x = 2; y = 6

7 α 3,5

7 = 3,5k

k = 7 / 3,5

k = 2

Test:

y = 5

x = 2 * 3.5

x = 7

Prin urmare; (c) nu este proporțională

x = 0,5; y = 1

0,5 α 1

0,5 = k

Test:

y = 4

x = k * y

x = 0,5 * 4; x = 2

Prin urmare; (d) este proporțională

x = 0,2; y = 2

0,2 α 2

0,2 = 2k

k = 0,2 / 2

k = 0,1

Test:

y = 4,5

x = 0,1 * 4,5

x = 0,45

Prin urmare; (e) nu este proporțională

x = 1; y = 12

1 α 12

1 = 12k

k = 1/12

Test:

y = 84

x = 1/12 * 84

x = 7

Prin urmare; (f) este proporțională

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1 year ago

A textbook store sold a combined total 402 of psychology and math textbooks in a week. The number of psychology textbooks sold w

uranmaximum [27]

Answer:

The number of textbooks of each type were sold is 134 math and 268 psychology books.

Step-by-step explanation:

Given:

Total number of math and psychology textbooks sold in a week is 402.

Now, let the number of math textbooks sold be $x$ .

And, the number of psychology textbooks be $2x$ .

According to question:

$x+2x=402$

$3x=402$

Dividing both sides by 3 we get:

$x=134$

So, total number of math textbooks were 134 .

And, total number of psychology textbooks were $2x=2\times 134$

$=268$ .

Therefore, the number of textbooks of each type were sold is 134 math and 268 psychology books.

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2 years ago

Which table represents a direct variation function?

Anika [276]

The third table
Explanation:
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2 years ago

What is the scale factor of polygon qrstu to poligon defgh

koban [17]

Answer:

Step-by-step explanation:

Since the two polygons are similar, corresponding sides will have a constant ratio. So, the ratio between ST and FG will be the same as the scale factor between the two shapes.

$\dfrac{FG}{ST}=\dfrac{15}{36}=\dfrac{5}{12}$

Therefore, the correct answer is choice A. Hope this helps!

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2 years ago