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Afina-wow [57]
2 years ago
15

Which notation indicates 2 congruent segments

Mathematics
1 answer:
yaroslaw [1]2 years ago
6 0

Answer:

≅ is congruent

Step-by-step explanation:

║ is parallel

⊥ perpendicualr

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Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Wor
LenKa [72]

Given:

The given sets are:

Set a : 200, 104, 100, 160.

Set b: 270, 400, 483, 300, x.

Mean of set a: mean of set b= 3:8

To find:

The value of x.

Solution:

Formula for mean:

Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}

The mean of set of a is:

Mean=\dfrac{200+104+100+160}{4}

Mean=\dfrac{564}{4}

Mean=141

The mean of set of b is:

Mean=\dfrac{270+400+483+300+x}{5}

Mean=\dfrac{1453+x}{5}

Mean=\dfrac{1453+x}{5}

It is given that,

Mean of set a: mean of set b= 3:8

\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}

\dfrac{705}{1453+x}=\dfrac{3}{8}

8\times 705=3\times (1453+x)

5640=4359
+3x

Isolate the variable x.

5640-4359
=3x

1281
=3x

Divide both sides by 3.

\dfrac{1281}{3}
=x

427
=x

Therefore, the value of x is 427.

3 0
2 years ago
From 24 teachers to 30 teachers Find each percent increase. Round to the nearest percent
yulyashka [42]
% = (Change/Original) * 100
= (6/24) * 100
= (0.25) * 100
= 25%
5 0
3 years ago
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Solve -5y+6=-9 pls help me with this
alexandr402 [8]

Answer:

-5y + 6 = -9

y = 3

Step-by-step explanation:

subtract 6 from both sides

-5y + 6 - 6 = -9 - 6

simplify

-5y = -15

divide both sides by -5

(-5y)/5 = (-15)/5

simplify

y = 3

6 0
3 years ago
In quadrilateral QRST, Angle R S T measures (5x+15)°. Angle TQR measures (4x+3)°. Circle P is inscribed with quadrilateral Q R S
Assoli18 [71]

Answer:

105degrees

Step-by-step explanation:

Using the theorems that states that the sum of the opposite side of the quadrilateral is 180degrees, hence;

<RST + <TQR = 180

5x+15 + 4x+ 3 = 180

9x + 18 = 180

9x = 180 - 18

9x = 162

x = 162/9

x = 18

Since <RST = 5x+15

<RST = 5(18) + 15

<RST = 90 + 15

<RST = 105degrees

Hence the measure of <RST is 105degrees

7 0
3 years ago
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CAN SOMEONE HELP ME ASP ITS IS DUE IN 10 MINUTES?!?!?
e-lub [12.9K]

Answer:

x = 36

Step-by-step explanation:

6 0
3 years ago
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