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sladkih [1.3K]
2 years ago
9

WILL GIVE BRAINLIEST. Need an answer ASAP!

Mathematics
1 answer:
Ksivusya [100]2 years ago
8 0

Answer:

BE=12 units

Step-by-step explanation:

We\ know\ that,\\In\ a\ rectangle\ all\ diagonals\ are\ equal\ and\ bisect\ each\ other.\\Hence,\\In\ Rectangle\ ABCD,\\AE=EC\\Hence,\\Substituting\ the\ values\ we\ get:\\x+4=3x-12\\Hence,\\-2x=-16\\x=\frac{-16}{-2}=8\\Now,\\We\ also\ know\ that,\\ AC=DB\\Hence,\\\frac{AC}{2}=\frac{DB}{2} \\Hence,\\DE=EB=AE=EC\\Hence,\\Since\ AE=BE,\\BE=x+4\\We\ already\ know\ that\ x=8.\\Hence, BE=8+4=12

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What is the area of a triangle h=5 b=6
soldi70 [24.7K]

Answer:

The answer is 15

Step-by-step explanation:

area of triangle is half * base * height

So 1/2*5*6 is 15

6 0
3 years ago
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What is the vertex of y<∣x−3∣+5​
Tcecarenko [31]

Answer:

(3, 5)

Step-by-step explanation:

The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.

3 0
2 years ago
What is the equation of a line passing through (-6, 5) and having a slope of 1/3 ? A. B. C. D. y = 3x + 7
stepan [7]

Answer:

y = 1/3 x + 7

Step-by-step explanation:

Given; the line is passing through, (-6,5) and the slope is 1/3

We can get its equation;

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Therefore; Since slope = Δy/Δx

Then;

(5-y)/ (-6-x) = 1/3

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we get;

3y = 6 + x + 15

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Therefore;

<u>y = 1/3 x + 7</u>

3 0
3 years ago
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Answer this maths question: x³+y³+z³
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Step-by-step explanation:

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A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new
faltersainse [42]

Answer:

The predictive value of a positive test is 18.2%.

Step-by-step explanation:

The population screened is 300.

The true prevalence value of the Lyme disease among clinic attendees is 10\% \Rightarrow 0.10.10% = 0.10.

The proportion that sensitivity is 60\% \Rightarrow 0.6060% = 0.60

The proportion of the specificity is 70\% \Rightarrow 0.70.70% = 0.70

Step 2 of 2

We have to calculate the probability value of the predictive value of positive test.

\begin{array}{c}\\\left( \begin{array}{l}\\{\rm{Positive Predictive }}\\\\{\rm{value}}\left( {PPV} \right)\\\end{array} \right) = \frac{{{\rm{Prevalence}} \times {\rm{Sensitivity}}}}{{\left( {{\rm{Prevalence}} \times {\rm{Sensitivity}}} \right) + \left( {{\rm{1 - Prevalence}} \times 1 - {\rm{Specificity}}} \right)}}\\\\ = \frac{{0.1 \times 0.60}}{{\left( {0.1 \times 0.60} \right) + \left( {1 - 0.1 \times 1 - 0.70} \right)}}\\\\ = \frac{{0.06}}{{0.33}}\\\\ = 0.181818\\\\ = 0.182{\rm{ }}\left( {{\rm{Round to 3 decimal place}}} \right)\\\end{array}  

(Positive Predictive  value, PPV) =

(Prevalence×Sensitivity)/Prevalence×Sensitivity +(1−Prevalence×1−Specificity)  

=   (0.1×0.60)/0.1×0.60  + (1−0.1×1−0.70) ​  

=    0.06 /0.33    

=   0.181818

(Positive Predictive  value, PPV) = 0.182 (3decimals)    

We have to convert the PPV into percentage,

\begin{array}{c}\\PPV = 0.182 \times 100\\\\ = 18.2\% \\\end{array}  

PPV=0.182×100

= 18.2% ​  

Therefore, the predictive positive value is 18.2%.

7 0
3 years ago
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