Construct an isosceles right-angled triangle ∆PQR where ∠

Answers

Answer 1

Answer:

Please find attached the required triangle drawn with Microsoft Visio

Step-by-step explanation:

The isosceles triangle ΔPQR we are to construct has the following parameters;

∠PQR = 90°

Length of side hypotenuse PR = 4 cm

Therefore, given that the triangle is right triangle is an isosceles triangle the length of each of the side legs are equal

Therefore, we have;

Length of PQ = Length of QR

The length of the legs , [tex]\overline {PQ}[/tex] and [tex]\overline {QR}[/tex], are given by Pythagoras's theorem as follows;

[tex]\overline {PR}[/tex] = √([tex]\overline {PQ}[/tex]² + [tex]\overline {QR}[/tex]²) = √([tex]\overline {PQ}[/tex]² + [tex]\overline {PQ}[/tex]²) = [tex]\overline {PQ}[/tex]·√2

∴ [tex]\overline {PQ}[/tex] = 4 cm/(√2) = 2·√2 cm = [tex]\overline {QR}[/tex]

The required triangle drawn with Microsoft Visio is attached

Construct An Isosceles Right-angled Triangle PQR Where

Related Questions

The average of six numbers is 4. If the average of two if those numbers is 2,what is the average of the other 4 numbers?

Answers

Answer: Average of other 4 numbers =5

Step-by-step explanation:

Sum of n numbers = Average of n numbers x n

Given: Average of 6 numbers =4

so sum of 6 numbers  = 6x 4 = 24

Average of 2 numbers = 2

Sum of 2 numbers = 2 x 2 =4

Sum of rest of 4 numbers = sum of 6 numbers  - Sum of 2 numbers

= 24-4

=20

Average of 4 numbers = [tex]\dfrac{20}{4}[/tex]

i.e. Average of 4 numbers =5

A square has a perimeter of 20x+28 units. Which expression represents the side length of the square in units? A 4x+4 B 5x+7 C 3x+13 D x+4​

Answers

Answer:

B. (5x+7)

Step-by-step explanation:

i did same question on a quiz yesterday lol

PLEASE HELP DONT ANSWER IF YOU DO NOT KNOW (the numbers got cut out)

Answers

look at the picture i attached for the answer :))

Miguel had 340 baseball cards. He sold some of his cards and now has 170 cards left. If p represents the percent
decrease in the number of cards in Miguel's collection, what equation can you use to solve for p, and what is p?

Answers

Answer:

340 - 170

340 p=50

Step-by-step explanation:

Answer:

the person above me is right!! i put it in on edg

Step-by-step explanation:

Hannah spends $4.50 each day to buy lunch at her school. After school each day, she buys the same snack. Hannah spends $28.75 for lunch and snacks each week. The equation and solution model the situation.

5 (4.50 + x) = 28.75; x = 1.25

What does the solution, x = 1.25, represent?
the total cost of snacks for the week
the cost of each snack
the total amount of lunch for the week
the amount she spends each day for lunch and snack

Answers

Answer:

The cost of each snack

Step-by-step explanation:

Because if we are using what makes sense and what doesnt it would not be that much for lunch each week and it wouldnt be for the day so it must be the cost of each snack

Answer:

Step-by-step explanation:

B, the cost of each snack

A therapist wanted to determine if yoga or meditation is better for relieving stress. The therapist recruited 100 of her high-stress patients. Fifty of them were randomly assigned to take weekly yoga classes, and the other 50 were assigned weekly meditation classes. After one month, 30 of the 50 patients in the yoga group reported less stress, and 35 of the 50 patients in the meditation group reported less stress.

Based on the 95% confidence interval, (–0.29, 0.09), is there convincing evidence of a difference in the true proportions of patients experiencing stress relief in the yoga and meditation groups?

There is convincing evidence because the two sample proportions are different.

There is not convincing evidence because the interval contains 0.

There is not convincing evidence because the interval contains both negative and positive values for the true difference.

Answers

Answer:  Choice B

There is not convincing evidence because the interval contains 0.

========================================================

Explanation:

The confidence interval is (-0.29, 0.09)

This is the same as writing -0.29 < p1-p1 < 0.09

The thing we're trying to estimate (p1-p2) is between -0.29 and 0.09

Because 0 is in this interval, it is possible that p1-p1 = 0 which leads to p1 = p2.

Therefore, it is possible that the population proportions are the same.

The question asks " is there convincing evidence of a difference in the true proportions", so the answer to this is "no, there isn't convincing evidence". We would need both endpoints of the confidence interval to either be positive together, or be negative together, for us to have convincing evidence that the population proportions are different.

There is not convincing evidence because the interval contains 0.

What is Confidence Interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

We have, the confidence interval as (-0.29, 0.09)

and, the same as writing -0.29 < p1-p1 < 0.09

Now, as the interval is 0 then

p1 - p2 = 0

p1 = p2

There is a chance that the population ratios are identical.

So, there isn't convincing evidence.

For us to have strong evidence that the population proportions are different, the ends of the confidence interval must be either positive together or negative together.

Learn more about Confidence Interval here:

https://brainly.com/question/24131141

#SPJ3

i really need help on these guys i am failing

Answers

Answer: (Photo)

Step-by-step explanation:

Since the +2 is the b in y=mx+b that goes on the y axis then you use the fraction to get the rise and run then graph.

A pool in the shape of a rectangular prism is being filled with water. The length and width of the pool is 24 feet and 15 feet. If the height of the water in the pool is 11/3 feet, what is the volume of the water in cubic feet?

Answers

Answer:

1320 cubic feet

Step-by-step explanation:

Given

[tex]Length = 24ft[/tex]

[tex]Width = 15ft[/tex]

[tex]Height = \frac{11}{3}ft[/tex] --- of water

Required

Determine the volume of the water?

Volume is calculated as:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = 24 * 15* 11/3[/tex]

[tex]Volume = 1320[/tex]

Hence, the volume of the water is 1320 cubic feet

On a piece of paper, use a protractor to construct A ABC with mZA = 30mZB= 60° and mZC = 90
Which statements about the triangles are true?
Select each correct answer
1. АС 2.AC > BC
3. AC > AB
4.AC < BC

Answers

Answer:

In short, Your Answer would be Option 1.AC < AB & 2.AC > BC

Step-by-step explanation:

Here, we know largest side is always opposite to the largest angle.

As largest angle is C with 90 degree, it's opposite side which is AB must be longest here!! & AC would be second largest & BC would be smallest

The statement about the triangle is given as AB > AC > BC

What is a triangle?

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, scalene, equilateral and right angled triangle.

The size of a triangle side is proportional to the angle opposite to the side.

m∠A = 30, m∠B= 60° and m∠C = 90. Hence: AB is the greatest followed by AC and then BC

AB > AC > BC

The statement about the triangle is given as AB > AC > BC

Find out more on triangle at: https://brainly.com/question/17335144

Hurry please!!

What do these markings
represent?


What do these markings
represent?



Answers

Answer:

the measurements are equal

Step-by-step explanation:

i think it means they're equal lol

Answer:

The small arrows mean parallel the lines mean equal in length

If you were babysitting, which would you rather: Charge $5 for the first hour and $8 for each additional hour? Charge $15 for the first hour and $6 for each additional hour? Explain your reasoning. Students, draw anywhere on this slide




(show your work plz )​

Answers

Answer:

cahrge 15 for first hours and 6 for every additional hour

Step-by-step explanation:

you get more money because if you do one hour then you will still get $15 in a hour while if you do one hour in the other equation yolu will only get $5

which congruence postulate is this? SAS, SSS, AAS, ASA, HL

Answers

Answer:

SAS

Step-by-step explanation:

What’s the scale factor (mark as brainliest)

Answers

Answer:

Its divided by 3

Step-by-step explanation:

bigger is 6, smaller is 2....shrinked by 3

Scale factor is 1/8!!!!!! Hope it helps

Name the property of real numbers illustrated by the equation (x + 8) + 4 = x + (8 + 4)

A. Distributive Property

B. Inverse Property

C. Commutative Property

D. Associative Property

Answers

Answer:

D. Associative Property

Step-by-step explanation:

The group is being switched around.

Answer:

the answer is

Step-by-step explanation:

associative property

(8x²+y⁰)(-10x³y²z) what is the answer ? ​

Answers

Simplify/Multipy/Find the product: −80x^5y^2z − 10x^3y^2z

The answer is in the photo attached, hope this helps

Look at the graph below. Will ordered pair (50,200) fall on the line below? Explain your answer.



Middle school math.

Answers

Answer:

Yes!

Step-by-step explanation:

the slope of the graph travels 1x for every 4y, so multiply  both numbers by 50, which gives you (50, 200)

There are three consecutive numbers such that 3 times the greatest decreased by five times the middle number is-33

Answers

Answer:

Step-by-step explanation:

Let (n-1), n, and (n+1) be the consecutive numbers.

3(n+1) - 5n = = -33

-2n + 3 = -33

-2n = -36

n = 18

The numbers are 17, 18, 19

Can someone help me with this

Answers

Answer:

c

Step-by-step explanation:If you never know an answer just pick c:)daily life advice

PLEASE HELPP ILL GIVE YOU BRAINLIEST!!

Answers

Answer:

1) 23a + 18

2) 23a - 6

3) 23a - 18

4) -16

5) 7a - 6

Step-by-step explanation:

Use the distributive property (if it is subtraction remember to distribute the negative sign as well)

1) 3(5a + 2) + 4(2a + 3) = (15a + 6) + (8a + 12) = 23a + 18

2) 3(5a + 2) + 4(2a - 3) = (15a + 6) + (8a - 12) = 23a - 6

3) 3(5a - 2) + 4(2a - 3) = (15a - 6) + (8a - 12) = 23a - 18

4) 3(5a - 2) - 5(3a - 2) = (15a - 6) - (15a +10) = 15a - 6 - 15a - 10 = -16

5) 3(5a + 2) - 4(2a + 3) = (15a + 6) - (8a + 12) = 15a + 6 - 8a - 12 = 7a - 6

Try doing the rest :)

i need the answer fast

Answers

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

P + 7 ≤  50

He can spend less than but no more than $50. So whatever he buys plus the 7 dollar admission can be equal to but not greater than 50.

When Mei solved the system of equations below, she got the
solution x = 4, y = 2. Without solving the system, yourself, can you
tell her whether this solution is correct?
4x + 3y = 22
x - 2y = 0
No
yes
Both

Answers

Answer:

yes

yes is answer of this equation

Answer:

answer is yes

Step-by-step explanation:

DOING 20 POINTS!

A window for a new house is shown. How many square feet of glass does the window require, if it is double-paned? Enter your answer in the box.

Answers

Answer:

The window for the new house requires 14.4 feet of glass if it is double paned.

Step-by-step explanation:

This is because 7.2 × 4/2= 14.4 sq. Ft

Pleaseee helpppp answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

10.4 meters

Step-by-step explanation:

Please and Thank You ​

Answers

I think it’s A, 0 x 2 = 0 4 x 2 = 8, 0 + 5 = 5, 5, 8

pls help!! what is x

Answers

Answer:

x is a variable to fill in something that is unknown. its like a question mark

Step-by-step explanation:

Which function is represented by the graph?

Answers

The answer would be the last option,
f(x) = - |x - 4|

The y-intercept would be (0, -4)

1. Given that ABCD is a rhombus with ∠DBC=49∘, what is ∠DAB?
A. 82 degrees
B. 90 degrees
C. 49 degrees
D. 98 degrees

2. In a rhombus FGHJ, m∠JKF=(3y+6)∘ and m∠KFG =(7y−14)∘. Find the value of y?
A. 20
B. 10
C. 8
D. 5

Answers

Answer:

1). Option (A)

2). Option (D)

Step-by-step explanation:

1). We will use two properties of the rhombus,

   - Diagonals of a rhombus are perpendicular and bisect each other.

   - Diagonals of a rhombus bisect the opposite angles.

From the figure attached,

    m∠DBC = 49° [Given]

    m∠DBA = 49° [m∠DBC = m∠DBA]

    In ΔAOB,

    m∠AOB + m∠OBA + m∠BAO = 180° [Triangle sum theorem]

    90°+ 49° + m∠BAO = 180°

    m∠BAO = 41°

    Since, m∠DAB = 2(m∠BAO)

                              = 2(41°)

                              = 82°

Option (A) will be the answer.

2). From the figure attached,

    m∠JKF = (3y + 6)°

    m∠KFG = (7y - 14)°

    Since, m∠JKF ≅ m∠KFG

    (3y + 6) = (7y - 14)

    7y - 3y = 6 + 14

    4y = 20 ⇒ y = 5

    Option (D) will be the answer.

Answer--->x/3
Process?​

Answers

Step-by-step explanation:

2x/3 - x/3 = x/3

they both have the same denominators (number at the bottom of the fraction) so all you have to do it subtract the numerators (top of the fraction) together. 2x-x =x, that's why it's x on the numerator for the answer

hope this helps

Step-by-step explanation:

[tex] \frac{2x}{3} - \frac{x}{3} = \frac{x}{3} [/tex]

2x-x=x

In ΔQRS, the measure of ∠S=90°, QR = 78 feet, and RS = 61 feet. Find the measure of ∠R to the nearest degree.

Answers

Answer: 38.551=39

cos

−1

(

78

61

)

=39

Answer:

39

Step-by-step explanation:

SOMEONE PLEASE HELP ME ANSWER THIS QUESTION!!
I’LL MARK YOUR ANSWER AS BRAINLIEST ANSWER!!

Answers

Answer:

a) 30 b) 21 c) 153

Step-by-step explanation:

a) 5 squares * 6 = 30 phones

b) 3.5 squares * 6 = 21 phones

c) 25.5 squares * 6 = 153 phones

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