In the given right angled triangle ABC, right
angled at B. P is the mid-point of AC. Prove that
BP=1/2AC​

Answers

Answer 1

The right angled triangle is missing, so i have attached it.

Answer:

Proved below

Step-by-step explanation:

From the attached image, we can see that QP is parallel to BC.

Now, looking at triangles AQP and ABC, we can see that;

∠ AQP = ∠ ABC

Also;

∠ APQ = ∠ ACB

This means that triangles ABC and AQP are similar.

We are told that P is the mid-point of AC.

Thus; AP = PC

We can now say that;

AP:AC = 1:2 and AQ:AB = 1:2

Since AQ:AB = 1:2, it means Q is the midpoint of AB.

Now, ∠ AQP = ∠ BQP

However, according to SAS congruence test, AQP is congruent to BQP.

Thus; AP = BP = CP

Since AP:AC = 1:2 as we saw earlier, then;

BP:AC = 1:2

Thus:

BP/AC = ½

BP = ½AC

In The Given Right Angled Triangle ABC, Rightangled At B. P Is The Mid-point Of AC. Prove ThatBP=1/2AC

Related Questions

assume for a given studey that the null hypothesis asserts that the expected value of a phenomenon is 100

Answers

In a given study that the null hypothesis asserts the expected value of a phenomenon is 100 resulting in a 95% confidence interval reported as [98.76, 105.24], then we fail to reject the null hypothesis.

Therefore the answer is d) Fail to reject the null hypothesis.

A 95% confidence interval is a range of values that there is a 95% chance that the true value of a population parameter falls within. In this case, the 95% confidence interval is [98.76, 105.24], which includes the expected value of 100 that is stated in the null hypothesis.

Therefore, we fail to reject the null hypothesis because the data does not provide sufficient evidence to suggest that the true value of the population parameter is different from what is stated in the null hypothesis.

It's worth to mention that, Failing to reject the null hypothesis doesn't mean accepting it, it means that we don't have enough evidence to say that the parameter is different from the null hypothesis, it could be due the sample size, or other factors.

--The question is incomplete, complete question is as follows--

"Assume for a given study that the null hypothesis asserts the expected value of a phenomenon is 100. A research study results in a 95% confidence interval reported as [98.76, 105.24]. What decision would you make based on this confidence interval?

a) A decision cannot be made on a confidence interval; a hypothesis test is required.

b) Retain the null hypothesis.

c) Reject the null hypothesis.

d) Fail to reject the null hypothesis."

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can someone help me with these questions

Answers

Min 02
Max 2667
Mead 579

Solve the proportion: Men 45 : ? Women 50 : 10​

Answers

Answer:

The answer to the proportion is 45:25.

Step-by-step explanation:

To solve this proportion, we can use cross multiplication. That is, we can multiply the numerator of the first ratio (45) by the denominator of the second ratio (10) and the numerator of the second ratio (50) by the denominator of the first ratio (?). This will give us

45 x 10 = 500 and 50 x ? = 500.

If we divide both sides of the equation by 50, we get

? = 25.

Therefore, the answer to the proportion is 45:25.

*LOOK AT PICTURE*
F) 200.96 feet
G) 602.88 feet
H) 301.44 feet
J) 614.43 feet

Answers

Answer:

F 200.96 feet is traveled by the car

Answer:

G) 602.88 feet

Step-by-step explanation:

First find the circumference of the circle:

C = 2πr

If we use 3.14 for pi, we get:

C = 2*3.14(32)

C = 200.96 feet

Because the car takes 3 turns around the circle, multiply the circumference by 3 to find the total distance the car traveled:

200.96*3 = 602.88 feet

HELP PLEASE!! 20PTS!!!! NO LINKS

Answers

Answer:

w = 9

m <4 = 157

m<2 = 23

Step-by-step explanation:

The measure of the arc of a straight line is 180⁰.

so angle 1 + angle 3 = 180⁰.

(3w - 4) + 157 = 180

3w = 27

w = 9

Answer:

w = 9

m 4 = 157

m<2 = 23

Step-by-step explanation:

3*9 - 4 = 23

23 + 157 = 180 so it is correct.

180 - 23 = 157

Have a nice day!

Compare the function ƒ(x) = 4x + 2 to the function shown in the graph. Which statements are correct?
Responses
A The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.
B The graphed function has a greater rate of change than the function ƒ(x) = 4x + 2.The graphed function has a greater rate of change than the function ƒ(x) = 4x + 2.
C The function ƒ(x) = 4x + 2 has a x-intercept with a greater value than the graphed function.The function ƒ(x) = 4x + 2 has a x-intercept with a greater value than the graphed function.
D The function ƒ(x) = 4x + 2 and the graphed function have the same slope.The function ƒ(x) = 4x + 2 and the graphed function have the same slope.
E The graphed function has a y-intercept with a greater value than the function ƒ(x) = 4x + 2.

Answers

The correct statement regarding the comparison of the linear functions f(x) and the graphed function is given as follows:

A. The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.

What is a linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

m is the slope, representing the rate of change.b is the y-intercept, representing the initial value.

The function f(x) is given as follows:

f(x) = 4x + 2.

The parameters are given as follows:

Rate of change of 4.Intercept of 2.

For the function g(x), we have that:

The rate of change is of 2, as when x increases by 2, y increases by 4, hence m = 4/2 = 2.The intercept is of 4, as the function crosses the y-axis at y = 4.

Hence the correct option is given by option a, as the function f(x) has a greater rate of change, of 4, compared to the graphed function, of 2.

Missing Information

The graphed function is given by the image presented at the end of the answer.

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Which of the following system of inequalities represents the graph below?

A - 6x + 3y < 12 and 2y - x ≤ -2
B - 6x - 3y < 12 and 2y - x ≤ -2
C - 6x - 3y < 12 and 2y - x ≥ -2
D - 6x + 3y < 12 and 2y - x > -2

Answers

Answer:

c

Step-by-step explanation:

i think ...

Evaluate the expression if x = 6
3x + 5 =

Answers

Answer:

=

6

3

+

5

Step-by-step explanation:

the asnwer is x=63x+5

pllzzzzzzzzzzzzzzzzz help

Answers

that would be 33 square feet!!!

Find the missing probability
P(A)=.3 P(B).4 P(A or B) = ? P(A and B) = .2

Answers

Answer:

0.5

Step-by-step explanation:

P(A) = 0.3 P(B) = 0.4 P(A ∪ B) = 0.2P(A∩B) = x

Use below formula and find the missing probability:

P(A∪B) = P(A) + P(B) - P(A∩B)0.2 = 0.3 + 0.4 - xx = 0.7 - 0.2x = 0.5

5 3/8- 4 1/15 thank you if you can help I need a solution

Answers

Here is your Answer !!!

HOPE IT HELPS :)

Answer:

1  37/120

Step-by-step explanation:

heyy! i’ll give brainliest please help

Answers

Answer:

democratic leader i think im not sure tho

Answer:

an absolute dictator

Step-by-step explanation:

A graphical device used for enumerating sample points in a multiple-step experiment is a a. bar chart b. pie chart c. histogram d. None of the other answers is correct.

Answers

None of the listed methods are used for enumerating sample points in a multiple-step experiment. So, option D is the correct answer.

Graphical methods are important mathematical tools that are very helpful when it comes to managing a vast amount of data. These also help when we need to visually represent data. These methods help quite a lot since they make it easier to keep track of data and understand it as well.

A bar chart and a histogram are similar tools that are used to represent data by plotting them as rectangular bars. These can be either vertical or horizontal. A pie chart is also a tool that uses a shape for data visualization. In its case, it represents data in the shape of a circle and all categories/data sets have their slices. So, this means that these three are not methods that can be used for enumerating sample points in a multiple-step experiment. Hence, option D is the correct option.

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A steep mountain is inclined 72 degree to the horizontal and rises 4500 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 900 ft from the base of the mountain. Find the shortest length of cable needed.

Answers

Answer:

[tex]l_c=5078.27ft[/tex]

Step-by-step explanation:

From the question we are told that:

Angle of inclination [tex]\angle=72 \textdegree[/tex]

Height [tex]h=4500ft[/tex]

Distance b\w cable base and mountain base [tex]d_{cm}=900ft[/tex]

Generally the equation for length of mountain base [tex]d_{mb}[/tex] is mathematically given by

 [tex]Tan\theta=\frac{h}{d_{mb}}[/tex]

 [tex]d_{mb}=\frac{h}{Tan\theta}[/tex]

 [tex]d_{mb}=\frac{4500}{Tan 72 \textdegree}[/tex]

 [tex]d_{mb}=1462.11ft[/tex]

Generally the Pythagoras equation for length of the cable [tex]l_c[/tex] is mathematically given by

[tex]l_c^2=h^2+(d_{mb}+d_{cm}^2)[/tex]

[tex]l_c^2=4500^2+(1462.11}+900}^2)[/tex]

[tex]l_c=5078.27ft[/tex]

Find the surface area of the square pyramid.

A drawing of a square pyramid. The sides of the base are 5 centimeters and the height of the triangular faces is 5 centimeters.

Answers

Answer:

add the 5+5 =10

Step-by-step explanation:

5+5=10

hope that helps

when journalizing an accounts payable account what account is debited
a. accounts payable
b. it depends on the transaction
c. cash
d. accounts receivable

Answers

The answer is C cash

Given f(x) = -x² - 2x + 12, find f(8)

Answers

Answer:

f(8) = -68

Step-by-step explanation:

f(x) = -x² - 2x + 12

f(8) = ?

We just need to put 8 in for the x and solve it

f(8) = -(8)^2 -2(8) + 12

f(8) = -64 -16 +12

f(8) = -80 + 12

f(8) = -68

A hot-air balloori rises 500 feet and then sinks 500 feet.
What was the net change in the elevation of the balloon?

Answers

Answer:

0

Step-by-step explanation:

Have a great day!

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

PLEASE HELP ME WITH THIS ILL BRAINLIEST YOU

Answers

2=90 degrees
3=63
4=27
5=27

Ash and her 2 friends went to dinner. If the bill was $124.72, and they left an 18% tip, how much did each person pay

Answers

Each person will pay $49.056. The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.

Which percentage is it?

A percentage, often known as percent, is a division by 100. Percentage, which meaning "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Amount of bill = $124.72

and tip they left = 18% of $124.72

total amount is =$124.72 + $124.72*18%=$147.1696

so, each person pay= $147.1696/3=$49.056

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please answe if you know answers

Answers

that is a blank screen need more info

Answer:

i dont really know answers sorry just bored lol

please help: find the value of x​

Answers

Answer: x=8

Explanation: So, you have the equation for part of the bottom of the triangle. And, you also know the bottom of the triangle is 24. That means 2 multiplied by the missing value (x) plus eight is going to equal 24. You then make that an equation, the equation being 2x + 8 = 24. Once you solve the equation for x, x=8.

Any questions, let me know.

Find the midpoints of the line segment
Fine the distance between each pair of the points

Answers

Answer: #18 is (1/2,0)

#19 (0,-1)

#20 5

#21 8√2 or 11.313708498985

Step-by-step explanation:

7th Grade math if anyone knows

Answers

Answer:

30° and 150°

Step-by-step explanation:

Supplementary angles sum to 180°

sum the parts of the ratio, 1 + 5 = 6 parts

Divide 180° by 6 to find the value of 1 part of the ratio

180° ÷ 6 = 30° ← value of 1 part of the ratio , then

5 parts = 5 × 30° = 150°

smaller angle = 30°

larger angle = 150°

Find the equation of a line in General form passes through the points (7,5) and (-9,5)

Answers

Answer:

Step-by-step explanation:

54×54

If the sum of two consecutive numbers is 23, find them. ​

Answers

The first number is 11 and second number is 12.We can find by solving two consective numbers.

What are Consecutive Numbers in Math?

Consecutive numbers are numbers that follow each other in order from the smallest number to the largest number. The difference between consecutive numbers is always fixed and it follows a pattern. For example 1, 2, 3 are the first three consecutive natural numbers.

What is the sum of consecutive?

An odd number of consecutive numbers has a whole number as an average. This average is always the middle number. So that means that the sum of the numbers will be Sum = average \times number of consecutive numbers.

Now we find

Let x be a first number and x+1 be a second number.So

x+x+1=23

2x+1=23

2x    =23-1

2x    =22

  x   = 11

x+1= 11+1=12

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Evaluating Linear Functions

Answers

The value of linear equations are  f(x) = -17 and f(x) = -73 .

What is linear equation ?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

Equation with two variables of degree one is referred to as a linear equation with two variables. Formal expression: ax+by+c=0, where a, b, c R & a, b 0.

A)

f(x) = -2x + 7 when x = -12

   f (x) = -2*12 + 7

          = -24 + 7

          = -17

f(x) = 5x - 13 when x = -14

       f(x) = 5*-14 - 13

             = -60 -13

             = -73

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A red die is tossed and then a green die
is tossed. What is the probability that
the red die shows an even number or
the green die shows an even number?
Make sure your answer is reduced.

Answers

The probability that the red die shows an even number or the green die shows an even number is 3/4

How to determine the probability?

The sample space of a die is:

S = {1,2,3,4,5,6}

There are 3 even numbers in the above sample space

This means that the probability that a die shows an even face is:

P(Even) = 3/6 = 1/2

So, we have:

P(Even Red) = 1/2

P(Even Green) = 1/2

The required probability is then calculated as:

P = P(Even Red) + P(Odd Red) - (P(Even Red) * P(Odd Red))

This gives

P = 1/2 + 1/2 - 1/2 * 1/2

Evaluate

P = 3/4

Hence, the probability is 3/4

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What are the factors of the expression 2x^2 5x 12?

Answers

[tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors of the quadratic expression.

2x^2 + 5x + 12

Consider given quadratic expression.

2x^2 + 5x + 12

Let f(x) = 2x^2 + 5x + 12

Assume f(x) = 0

2x^2 + 5x + 12 = 0

using the Quadratic Formula where

a = 2, b = 5, and c = 12

[tex]x = \frac{-b\pm \sqrt{b^2 - 4ac} }{2a} \\\\\\x = \frac{-5\pm \sqrt{5^2 - 4(2)(12)} }{2\times2} \\\\\\x = \frac{-5\pm \sqrt{25 - 96} }{4} \\\\\\x = \frac{-5\pm \sqrt{-71} }{4}[/tex]

The discriminant b^2 - 4ac < 0.

So, there are two complex roots.

[tex]x = \frac{-5\pm71i }{4}[/tex]

This means, [tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors.

2x^2 + 5x + 12

=  [tex](x- (\frac{-5+71i }{4}))[/tex] × [tex](x- (\frac{-5-71i }{4}))[/tex]

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Acellus Geometry Question in picture

Answers

The answer will be (0,6)
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