Find the measure picture attached

Answer:

  1/14

Step-by-step explanation:

In the given geometry, we have similar triangles:

  ΔCEF ~ ΔBEA ~ ΔDAF

This lets us write the relations for corresponding sides ...

  CF/CE = DF/DA

where DF = CF -CD

We can rearrange this relation to give the value we're looking for as follows.

__

Making the substutition for DF, and multiplying by CE, we have ...

  CF = CE(CF -CD)/DA

Both DA and CD are sides of the rhombus, so are both 14 cm in length. Multiplying by DA and making the number substitution, we have ...

  DA·CF = CE·CF -CE·CD

  14·CF = CE·CF -14·CE . . . . substitute 14 for DA and CD

  14(CF +CE) = CE·CF . . . . . add 14·CE

  (CF +CE)/(CE·CF) = 1/14 . . . . divide by 14·CE·CF

  1/CE +1/CF = 1/14 . . . . . . . . . simplify

Answer:

5 and 7

Step-by-step explanation:

5 and 7 are vertical angles. The others are supplementary

Answer:

4d

Step-by-step explanation:

i think any variable alone with no coefficient equals one

so this problem is like adding the terms 3d + 1d

so 1+3=4

and you use the variable d at the end

therefore the answer would be 4d

hope this helped<3

Answer:

4d

Step-by-step explanation:

3d+d this means 3d+1d because any variable without a coefficient is 1

which means

3d+1d

=4d

hope this helps!!!

Answer:

3/16

Step-by-step explanation:

Prove that sin 20 ×sin40 × sin60 × sin80 = 3/16.

We have to prove sin 20 × sin40 × sin60 × sin80 = 3/16.

Consider LHS

sin 20 × sin 40 × sin60 × sin80

Sin Values

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.

We know the trigonometric values of sin function

Proof

Consider LHS

sin 20 × sin 40 × sin60 × sin80

= sin60 [sin20 × sin40 × sin80]

= √3/2[sin20 × sin(60 – 20) × sin(60 + 20)]

= √3/2[sin 3(20)/4]

= √3/2[sin 60/4]

= √3/2[√3/2 × 4]

= √3/2 × √3/8 =  3/16

∴ LHS = RHS

Hence proved

Answer:

Noone can answer it if you dont give us the numbers

Step-by-step explanation:

Answer:

X=97

Step-by-step explanation:

The formula for the Pythagorean Theorem is:

[tex]\sqrt{a^2+b^2}=c[/tex]

Now,

A=65

B=72

72x72=5184

65x65=4225

4225+5184=9409

Last,

Take the square root of 9409.

The square root is 97.

Therefore, the hypotenuse is 97.

To check, use the equation:

[tex]a^2+b^2=c^2[/tex]

A=65

B=72

C=97

72x72=5184

65x65=4225

97x97=9409

5184+4225=9409

9409=9409

Therefore, the missing side, which is the hypotenuse, is 97.

Answer:

97

Step-by-step explanation:

Given:

Definition:

To find:

Pythagorean Theorem:

[tex]\displaystyle \large{a^2+b^2=c^2}[/tex]

Determine:

Note:

Therefore, substitute given information in:

[tex]\displaystyle \large{65^2+72^2=x^2}[/tex]

Evaluate:

[tex]\displaystyle \large{4225+5184=x^2}\\\displaystyle \large{9409=x^2}[/tex]

Square Root both sides:

[tex]\displaystyle \large{\sqrt{9409} = \sqrt{x^2}}[/tex]

Cancel the squared x, add plus-minus:

[tex]\displaystyle \large{\pm \sqrt{9409} = x}[/tex]

Simplify the surd:

[tex]\displaystyle \large{\pm 97 = x}[/tex]

However, side length is a scalar value so it cannot be negative nor have negative values. Therefore:

[tex]\displaystyle \large{x=97}[/tex]

Hence, the value of x is 97

Answer:

The answer is "A" i think not 100% sure

tell me if wrong

Answer:

D.  984

Step-by-step explanation:

The are of the trapozoid is 1/2(B1+B2)+h

[tex]\dfrac 25 = \dfrac 12 x\\\\\implies x = \dfrac{2 \times 2 }5 = \dfrac 45[/tex]

Answer:

239.8 feet to the nearest tenth.

Step-by-step explanation:

We have 2 right triangles one inside the other.

Let the height of the builing be x ft and the distance from foot of thebuiding to the closest point be y feet.

So we have the system:

tan 28.8 = x/(y + 100)

tan 35.5 = x/y

From second equation:

x =  tan35.5 y

Sustituting in the first equation:

tan 28.8 = tan35.5 y / (y + 100)

tan35.5 y = tan 28.8 y + 100 tan 28.8

y(tan35.5 - tan28.8) = 100 tan 28.8

y =  100 tan 28.2 / (tan35.5 - tan28.8)

y =  336.16 ft

So x = height of the buiding =   tan35.5 *  336.16

= 239.78 ft.

Answer:

The one above the orange answer in the picture

Step-by-step explanation:

85% of 20 is 17 every thing else is not 85%

The correct answer would be the one on top left

Answer:

Let the diameter be represented as x.

Let the diameter be represented as x.Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:

segments would be:(14 + x)(14) = 25^2

segments would be:(14 + x)(14) = 25^2196 + 14x = 625

segments would be:(14 + x)(14) = 25^2196 + 14x = 625Subtract 196 from each side

14x = 625 - 196

14x = 625 - 19614x = 429

Divide both sides by 14

Divide both sides by 14x = 429/14

Divide both sides by 14x = 429/14x = 30.6

Divide both sides by 14x = 429/14x = 30.6Diameter = 30.6

Answer: 421

Step-by-step explanation:

Subtract 3,000 by 1,737 and the product of that divided by 3 which will give you 421

Answer: Its negetive. The answer is -52d^2

Hope this helped you!

Answer:

Step-by-step explanation:

[tex]-12\ d^{2}+-40\ d^{2} = -12\ d^{2}-\ 40\ d^{2} = -52\ d^{2}[/tex]

Since −52 is negative and d² is always positive for any number d

Then ,their product −52 d² is negative .

The hypotenuse of the right triangle which is the bridge is not the preferred option because it cost is above $1500.

A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.

Therefore, the hypotenuse side is the bridge length.

c² = a² + b²

where

Hence,

c² = 1170² + 520²

c² = 1368900 + 270400

c = √1639300

c = 1280.35151423

The bridge is the prefered option when the cost is within $1500. Therefore,

cost of the bridge = 11 × 1280.35151423 = $14083.87

Therefore, the bridge is not the prefered option

learn more on right triangle here: https://brainly.com/question/27309330

Answer:

your answer will be a right

Step-by-step explanation:

Answer: 5.5 or 5 1/2.

Step-by-step explanation:

Answer:

617000

Step-by-step explanation:

Division reverses multiplication.

If the total population of Charlotte which we'll call 'x' follows

x * 0.05 = 30850, then

30850 / 0.05 = x

x = 617000

The number of cups of fruit Allison will need is = 4 ⅘ cups of fruits

The quantity of strawberries needed for each fruit drink= 3/5 cup

The quantity of blueberries needed for each fruit drink = 1/5 cup

Therefore the total quantity of fruits needed for each drink = 3/5 + 1/5

= 4/5

If 4/5 = 1 fruit drink

X = 6 fruit drinks

Make X the subject of formula,

X = 4/5 × 6

X = 24/5

X= 4 ⅘

Therefore, the number of cups of fruit Allison will need is = 4 ⅘ cups of fruits

Learn more about calculation of total quantity here:

https://brainly.com/question/13864606

Answer: B (2.9 x 10)

Step-by-step explanation: (4.35 x 10^2)/15 = 29 = 2.9 x 10

[tex]~~~~x^4+4x^3 +4x^2 +4x +3=0\\\\\implies x^4 +x^3 +3x^3 + 3x^2 +x^2+x+3x+3=0\\\\\implies x^3(x+1) +3x^2(x+1) + x(x+1) +3(x+1)=0\\\\\implies (x+1) (x^3+3x^2 +x +3)=0\\\\\implies (x+1) \textbf{[} x^2(x+3)+(x+3)\textbf{]}=0\\\\\implies (x+1)(x+3)(x^2+1)=0\\\\\implies x = -1 ,~~ x = -3,~~ x = \pm i[/tex]

Answer:

Quotient = 70

Remainder = 50

Step-by-step explanation:

The greatest number you can make is 9210, the smallest 3-digit number is = 129.

9210 / 129 = 71 with 50 left

so:

70 is the quotient and 50 is the remainder

Answer:

Interest = 2000

Total = 4000

Step-by-step explanation:

The formula to find interest:

Interest = Original Amount x Rate x Time.

Substitute the numbers into the formula.

I = 2000 x 0.05 x 20

You must change the percentage to a decimal.

Solve for I

I = 2000 x 0.05 x 20 = 100 x 20 = 2000

The interest is $2,000. To find the amount in total after 20 years, add the interest with the original amount.

2000 + 2000 = 4000

I hope this helps and please mark me as brainliest!

Answer:

A.

Step-by-step explanation:

Answer A. It works because the pairs of socks for 2.49 each and the 14.99 shirt need to be less than 25.

Answer: 0.125

Step-by-step explanation:

Add up the probabilities in the other ones and subtract that sum by 1, since 0 boys is out remaining answer

Answer:

$648

First find the surface area, and then multiply that by 12 for the inches, then multiply that by the cost

Answer:

$62

Step-by-step explanation:

First find the surface area of the box: 2(lw+lh+wh) = 2(60 + 40 +24) = 124(2) = 248

Now create a ratio to find the total cost:

[tex]\frac{0.25}{1} = \frac{x}{248}[/tex]

Solve for x by cross multiplying -

x=62

Answer:

the likely hood of that happening is the amount of that deck of cards by 2 so 52/2 could be your answer so yeah

Answer:

$1125

Step-by-step explanation:

Check the attachment.

Answer:

Most people use 3 or 3.14