Find the value of x.

Answer:

ABCD is a parallelogram. The diagonals AC and BD intersect at O. If AB = 6 cm, = AC = 11 cm and BO =3.5 cm what is the length of AD?

The diagonals AC and BD bisect each other, therefore AO = OC = 5.5 cm.

The area of triangle AOB = COD = [s(s-a)(s-b)(s-c)]^0.5

Here a = 6, b = 5.5, c = 3.5, so 2s = 15 or s = 7.5. So

[s(s-a)(s-b)(s-c)]^0.5 = [7.5(7.5–6)(7.5–5.5)(7.5–3.5)]^0.5

= [7.5*1.5*2*4]^0.5

= 90^0.5 sq cm

Area of triangle ADC = 2 x area of triangle AOB = 2*90^0.5 sq cm, or

2*90^0.5 = [(s1(s1-p)(s1-q)(s1-r)]^2, squaring both sides we get

4*90 = [s1(s1-p)(s1-q)(s1-r)]

360 = s1(s1–11)(s1–6)(s1-AD) … (1)

2s1 = AD + 11 + 6 = AD + 17, or

s1 = 8.5 + 0.5AD … (2). Put the value of s1 from (2) in (1) to get

360 = (8.5 + 0.5AD)(8.5 + 0.5AD-11)(8.5 + 0.5AD-6)(8.5 + 0.5AD-AD)

360 = (8.5 + 0.5AD)(0.5AD-2.5)(0.5AD+2.5)(8.5 - 0.5AD)

360 = (8.5^2 - 0.5AD^2)(0.25AD^2–6.25)

= - (8.5^2 - 0.5AD^2)(6.25 - 0.25AD^2)

= - (72.25 -0.5AD^2)(6.25 - 0.25AD^2)

360 = - [451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3], or

-360 = 451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3, or

0.125AD^3 - 21.1875 AD^2 + 451.5625 + 360 = 0, or

0.125AD^3 - 21.1875 AD^2 + 811.5625 = 0, or

AD^3 - 168.5 AD^2 + 6492.5 = 0, or

By trial and error, AD = 6.3272

Check: AD^3 - 168.5 AD^2 + 6492.5

6.3272^3 - 168.5*6.3272^2 + 6492.5

253.3- 6745.6 + 6492.5 = 0.2 as against 0

Hence AD = 6.3272 cm.

Answer:

Assuming you really mean the rectangle is ABCD, not ABDE:

Since DB is perpendicular to AC, it must be square.

If OA = 5, then OB = OC = OD = 5

This isn't possible because the triangle made by ABO would be a right triangle and AO^2 + BO^2 would equal AB^2. It does not.

5^2 + 5^2 =AB^2 = 7.07, not 13

Answer:

100×712 is equal to 71200

so the equality of 712 is 71200

Answer:

7.12 meters

Step-by-step explanation:

So 1 meter = 100 centimeter

To find how many meters are in 712 centimeters, you have to divide 712 by 100.

[tex]\frac{712}{100} = 7.12[/tex]

Therefore, 7.12 meters is equal to 712 centimeters.

Hope this helps!!

- Kay :)

Answer:

27

Step-by-step explanation:

first we can simplify by dividing by r

[tex] \frac{9 {r}^{2} }{r} = \frac{9 \times r \times r}{r} = 9 \times r \times 1 = 9r[/tex]

the r on the bottom of the fraction will cancel out one of the r's on top, this happens because anything divided by itself is 1, thus r divided by r is 1

finally we can evaluate when r =3,

9r = 9(3) = 27

Answer:

B or 2, I took this test.

Step-by-step explanation:

Answer:  B

Step-by-step explanation: 2

Answer:

yellow

Step-by-step explanation:

Answer:

answer b :) i hope this helps

Answer:

‍♀️

Step-by-step explanation:

villian

Answer:

2, 3, and 6:

2 X 3 = 6,

3 X 2 = 6,

6 � 2 = 3

6 � 3 = 2.

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

x = one angle

90 - x = complementary angle {complementary angles add up to 90�}

x = 90 - x + 86 {one angle is 86� more than its complementary angle}

x = -x + 176 {combined like terms on right}

2x = 176 {added x to each side}

x = 88 {divided each side by 2}

90 - x = 2 {substituted 88, in for x, into 90 - x}

one angle is 88�

the complementary angle is 2�

Step-by-step explanation:

Answer:

d. Of all possible samples of the same size, 20.79 percent will result in 85 percent of adult sea turtles on the beach being females.

Step-by-step explanation:

Hypothesis testing is conducted to test an observation against the null hypothesis. P-value is calculated to determine whether to accept or reject the null hypothesis. In the given case the p-value is 0.4158 which means null hypothesis is true.

Answer:

9x + 1

Step-by-step explanation:

2x + 1 + 7x

= 9x + 1

Answer:

2x+1+7x

2x+7x=-1

9x=-1

x=-1/9

Step-by-step explanation:

collect the like terms then add

take 1 to the other side it will be negative

then divide by nine in fraction form it will be -1/9

Answer:

see below

Step-by-step explanation:

x = 63 and y = 27

180 - 117 Gives 63

Answer:

x=63

y=27...............

Answer:

y = 10

Step-by-step explanation:

y - 7= 3

Add 7 to each side

y-7+7 = 3+7

y = 10

Answer:

y = 10

Step-by-step explanation:

y - 7 = 3

y = 7 + 3

y = 10

Hope that helps!

Answer:

Step-by-step explanation:

1/7 divided by -2 2/3

= 1/7 divided by -8/3 (changed the mixed number to an improper fraction!)

= 1/7 MULTIPLIED by -3/8 (when you divide a fraction, you must switch the sign opposite to what you are doing, in this case dividing, so the opposite of that is multiplying. You also flip the fraction that you are dividing by so -8/3 becomes -3/8)

= -3/56 (a positive times a negative number will result in a negative number!)

I hope this helps, if this is wrong, please specify so I can help :)

Answer:

should i do all the questions?

Answer:

5:3

Step-by-step explanation:

140:84 =

35:21 =

5:3

Hope that helps! (If you're up for it, can you give me a brainliest? Thanks)

The ratio is 5:3

A ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.

Given:

Total participants= 224

nonresidents =84

So, residents= 224-84 = 140

Now, ratio of residents to nonresidents

=140/84

=70/42

=10/6

=5/3

Learn more about ratio here:

https://brainly.com/question/26974513

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Answer:

Step-by-step explanation:

price of tv and sales tax = 1.0688×$189 = $202.0032 ≅ $202.00

4 years = 3×365 days + 366 days = 1461 days

cost of electricity = 1461 days × $0.06/day = $87.66

lifetime cost = purchase price + electricity + repairs

= $202.00 + $87.66 + 2·$29

= $347.66

Answer:

347.66 is your answer

Step-by-step explanation:

glad to help btw the answer is on edge 2021.

Answer:

x= −1/4 or x = 5

Step-by-step explanation:

Step 1: Factor left side of equation.

(4x+1)(x−5)=0

Step 2: Set factors equal to 0.

4x+1=0 or x−5=0

Answer:

x= −1/4 or x = 5

The factored form of the equation  4x²- 19x - 5 = 0 is (4x+1)(x-5).

The given equation is 4x²- 19x - 5 = 0.

To factor the quadratic expression on the left-hand side into two binomials.

The binomial factors will have the form (ax + b)(cx + d).

We need to find two numbers whose product is equal to ac (the coefficient of x² term) multiplied by d (the constant term), which is (4)(-5) = -20, and whose sum is equal to the coefficient of the x term, -19.

After considering different factor pairs of -20, we find that -20 and +1 satisfy the requirements.

(4x² - 20x) + (x - 5) = 0.

4x(x - 5) + (x - 5) = 0.

(4x+1)(x-5)=0

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

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Answer:

x does y does not

Step-by-step explanation:

x2  < −6x − 26

x < -x2/6 - 13/3

Answer:

Exterior angle = 45° each

Step-by-step explanation:

Given:

Number of side n = 8

Find:

Exterior angle

Computation:

Exterior angle =360° / n.

Exterior angle =360° / 8

Exterior angle = 45° each

Given:

27y and 54y³

​To find:

The highest common factor (HCF) using prime factorization.

Solution:

We have,

27y and 54y³

Using the prime factorization, we get

[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]

[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]

Now, the common prime factors are 3, 3, 3 and y. So,

[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]

[tex]HCF=27y[/tex]

Therefore, the highest common factor of the given terms is 27y.

Answer:

The answer is 1/3

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

~Hoped this helped~

Answer:

1.) 1.5972

2.) 11.4688

3.) 4.9725

4.) 1.81

5.) 29.3112

Answer: cot

Step-by-step explanation: cos

(

x

)

1

sin

(

x

)

cos

(

x

)

1

sin

(

x

)

Combine

cos

(

x

)

cos

(

x

)

and

1

sin

(

x

)

1

sin

(

x

)

.

cos

(

x

)

sin

(

x

)

cos

(

x

)

sin

(

x

)

Convert from

cos

(

x

)

sin

(

x

)

cos

(

x

)

sin

(

x

)

to

cot

(

x

)

cot

(

x

)

.

cot

(

x

)

Answer:

Hello! :) have a good day!

2x + 12

Answer:

First: Multiply the numbers

2 x 10 + 2 (x -4)

20+2(x-4)

Secondly: Distribute

20+2(x-4)=

20 + 2x - 8

Thirdly: Subtract the numbers

20 + 2x - 8=

12 + 2x

Lastly: Rearrange terms

12 + 2x

2x + 12

And that would leave us with our answer 2x + 12!

Answer:

52.5 yd²

Step-by-step explanation:

1/2(10)(10.5)=52.5