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Katyanochek1 [597]
3 years ago
10

GOAT is a parallelogram. Find the length of TA

Mathematics
1 answer:
Semenov [28]3 years ago
4 0

Answer:

y=7

Step-by-step explanation:

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Using substitution <br> x+3y=3<br> 3y-2x=12
frez [133]

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u>

  • x + 3y = 3
  • 3y - 2x = 12

And we need to solve the equation using Substituting method . So on taking the first equation ,

\rm\implies x + 3y = 3 \\\\\rm\implies x = 3 - 3y

<u>Put </u><u>this</u><u> </u><u>value</u><u> </u><u>in </u><u>(</u><u>ii)</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies 3y - 2x = 12 \\\\\rm\implies 3y - 2(3-3y)=12\\\\\rm\implies 3y -6-6y = 12 \\\\\rm\implies -3y = 18 \\\\\rm\implies y = -6

<u>Put </u><u>this</u><u> </u><u>Value</u><u> </u><u>in </u><u>(</u><u>I)</u><u> </u><u>:</u><u>-</u><u> </u>

\\\\\rm\implies x = 3-3*-6 \\\\\rm\implies x = 3+18 \\\\\rm\implies x = 21

<u>Hence</u><u> the</u><u> </u><u>Value</u><u> </u><u>of </u><u>x </u><u>is </u><u>2</u><u>1</u><u> </u><u>and </u><u>y </u><u>is </u><u>(</u><u>-</u><u>6</u><u>)</u><u> </u><u>.</u>

4 0
3 years ago
Read 2 more answers
In ΔSTU, the measure of ∠U=90°, SU = 7, UT = 24, and TS = 25. What ratio represents the tangent of ∠T?
Vinvika [58]

Answer:

Tan T = 7/24

Step-by-step explanation:

Firstly, please check attachment to have a picture of the triangle we are solving.

Now, we are concerned with calculating the ratio that represents the tangent of angle T.

Mathematically, the tangent of an angle is the ratio of the length of the opposite to the length of the adjacent.

In this question, our opposite is 7 while the adjacent is 24.

Thus Tan T = 7/24

6 0
3 years ago
NEED ASAP PLEASE HELP
sweet-ann [11.9K]

Answer:

Dilations produce similar figures because the image and pre-image will have congruent corresponding angles. The corresponding side lengths of the figures will be proportional based on the scale factor. The shape is preserved and the sides are enlarged or reduced by the scale factor

Step-by-step explanation:

6 0
2 years ago
What is the least significant place in 0.1030
olchik [2.2K]
<h3>Least Significant Digit Place (LSD)</h3>

The Least Significant Digit Place, or LSD, is the digit with the least value in a string of numbers.

In 0.1030, there are 4 different significant places. 0.<u>1030</u>

For 0.1030, the least valuable digit place is the 0.103<u>0</u>. This is because this numeral appears at the end of the string, and is the least valuable.

5 0
3 years ago
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Butterfly: wingspan 20 cm silk butterfly: wingspan 4 cm​
MA_775_DIABLO [31]

Answer:

(silk butterfly numerator )(butterfly denominator) 4cm/20cm = 1cm/5cm

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3 years ago
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