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Makovka662 [10]
3 years ago
7

ΔΑΒC Δ EDS What is the value of x?

Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0

Answer:

<u>The value of x is 11 and CE = 40 and AC = 60</u>

Step-by-step explanation:

Δ ΑΒC ≅ Δ EDS, therefore we have that:

24 / 36 = 3x + 7 / 6x - 6

Solving for x,

24 * (6x -6) = 36 * (3x + 7)

144x - 144 = 108x + 252

144x - 108x = 252 + 144

36x = 396

x = 396/36

x = 11 ⇒ 3x + 7 = 33 + 7 = 40; ⇒ 6x - 6 = 66 - 6 = 60

<u>The value of x is 11 and CE = 40 and AC = 60</u>

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It has been observed that, during various forms of social competition, men experience an increase in testosterone levels. A 2018
svetoff [14.1K]

Answer:

= ( -4.725, 6.945) pg/ml

Therefore at 95% confidence interval (a,b) = ( -4.725, 6.945) pg/ml

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 1.11 pg/ml

Standard deviation r = 15.18 pg/ml

Number of samples n = 26

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

1.11+/-1.96(15.18/√26)

1.11+/-1.96(2.977042931397)

1.11+/-5.835004145539

1.11+/-5.835

= ( -4.725, 6.945) pg/ml

Therefore at 95% confidence interval (a,b) = ( -4.725, 6.945) pg/ml

7 0
3 years ago
Identify the correct property of equality to solve each equation. 3 + x = 27
blondinia [14]

Answer:

x = 24

Step-by-step explanation:

look.

3 + x = ------------27

x = ---------------?

22 + 3 = 25

23 + 3 = 26

24 + 3 = 27

5 0
3 years ago
Read 2 more answers
What’s the area? Please help!!
vampirchik [111]
We can find the area of each shape separately
The area of the triangle can be found by A = 1/2bh
So the area will be 1/2 times (6+14+6= 26) 26 times 21
The area of the triangle will be 273 ft^2
The area of the square will be A=lxh
So the area will be 14 times 14
So the area of the square will be 196 ft ^2
We then add the area of both shapes together to get the total area
273 + 196 = 469 ft^2
7 0
3 years ago
Read 2 more answers
A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sa
Minchanka [31]
Lets do this:-

A. 7 Sandwiches

18 - 7 = 11

7 × $7.75 =  $54.25
7 sandwiches cost $54.25.

11 × $4.50 = $49.50
11 soups costs $49.50

49.50 + 54.25 = 103.75
A is not d answer cuz d total of d lunches came to $113.50. 

B. 8 sandwiches

18 - 8 = 10

8 × $7.75 =  $62
8 sandwiches cost $62.

10 × $4.50 = 45
8 soups costs $45

62 + 45 = 107

B is not d answer cuz d total of d lunches came to $113.50. 

C. 9 Sandwiches.

18 - 9 =  9

9 × $7.75 = 69.75
9 sandwiches cost $69.

9 × $4.50 = 40.50
9 soups costs $40.50

69 + 40.50 = 109.5

C is not d answer cuz d total of d lunches came to $113.50. 

D. 10 Sandwiches

18 - 10 = 8

10 × $7.75 = $77.75
10 sandwiches cost $77.75.

8 × $4.50 = $36
8 soups costs $36.

77.75 + 36 = <span>113.75

</span>D is not d answer cuz d total of d lunches came to $113.50. 

So, based on your answer choices there is no correct choice. <span />
7 0
3 years ago
The ratio of the angles of a triangle is 5:2/3:1. what are the measures of all three angles​
Art [367]

The ratio of the angles of a triangle is 5: 2/3: 1 Then the measure of all three angles are 135, 18, 27 respectively.

<u>Solution:</u>

Given that, the ratio of the angles of a triangle is 5: \frac{2}{3}: 1

We have to find what are the measures of all three angles.

Let us suppose, "x" is the highest common factor of three angles.

Then, the three angles will be 5x, \frac{2}{3}x, x

Now, we know that, sum of angles of a triangle equals to 180

\text { Then, } 5 x+\frac{2}{3} x+x=180

\begin{array}{ll}{\rightarrow} & {6 x+\frac{2}{3} x=180} \\\\ {\Rightarrow} & {x\left(6+\frac{2}{3}\right)=180} \\\\ {\Rightarrow} & {x\left(\frac{6 \times 3+2}{3}\right)=180} \\\\ {\Rightarrow} & {x\left(\frac{18+2}{3}\right)=180} \\\\ {\Rightarrow} & {x \times \frac{20}{3}=180} \\\\ {\Rightarrow} & {x=180 \times \frac{3}{20}} \\\\ {\Rightarrow} & {x=9 \times 3=27}\end{array}

So, the three angles will be,

5x = 5 \times 27 = 135\\\\\frac{2}{3} \times 27 = 18\\\\x = 27

Hence, the angles of the triangle are 135, 18, 27 respectively.

8 0
4 years ago
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