Which statement best describe the diagonals of a rhombus?
A) Is a parallelogram with congruent diagonals

B) Is a parallelogram with diagonals that bisects a pair of opposite angles and the diagonals are perpendicular

C) Is a parallelogram with the diagonals that intersect but does not form 90 degree

D) Is a parallelogram with diagonals that are congruent and perpendicular

Answer:

CORRECT STATEMENTS:

Step-by-step explanation:

PN = LO

__________________________

(LO)^2 = (LN)^2 + (NO)^2

(LO)^2 = 6^2 + 8^2

(LO)^2 = 36 + 84

(LO)^2 = 100

LO = √100

LO = 10

__________________________

Thus :

PN = 10

Step-by-step explanation:

So, we can assume that LN and PO are equal in length and NO and LP are equal in length as well.  LO and PN are also equal.

We can see that PN is the hypotenus of either triangle NLP or NOP.  LO is the hypotenuse of LOP and LON, so those could be used to find the length as well.  I rather work with NOP, but any work.

We know that NO is 8 units long and LN is 6 units long.  Because LN = PO, PO = 6 units.

So, using the pythagorean theorem, the hypotenuse is:

8^2 + 6^2 = c^2

64 + 32 =c^2

sqrt(96)=c

c~9.8

I don't know how exact they want your answer.

c = 9.79795897113

Answer:  E. square root of 2

We can write that in shorthand as sqrt(2)

sqrt(2) = 1.41421 approximately

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

Explanation:

Step 1)

Add up the values to get 18+19+20+21+22 = 100

Divide by n = 5, since there are 5 items in the list. So 100/n = 100/5 = 20

The sample mean is xbar = 20

--------------

Step 2)

Subtract the mean from each data value

The results we get are: -2, -1, 0, 1, 2

---------------

Step 3)

Square the results from the previous step

The results here are: 4, 1, 0, 1, 4

---------------

Step 4)

Add up those squares from the previous step: 4+1+0+1+4 = 10

Now divide by n = 5 to get 10/n = 10/5 = 2

The result 2 represents the population variance. Applying the square root to the population variance leads to the population standard deviation. So we end up with the final answer of sqrt(2). The answer is choice E.

sqrt(2) = 1.41421 approximately

---------------

Note: if you want the sample standard deviation, then you divide by n-1 = 5-1 = 4, but the other steps are the same as before.

If the terminal side of θ is in quadrant || and sin θ = 5/13, then the value of cos θ = -12/13.

Given that,

Terminal side of θ is in quadrant ||.

Sin θ = 5/13

We have the trigonometric identity,

sin² θ + cos² θ = 1

Substituting the value of Sin θ = 5/13, we get,

(5/13)² + cos² θ = 1

cos² θ = 1 - (5/13)²

          = 1 - 25/169

          = 144/169

cos θ = √ (144/169)

         = ± 12/13

We have the terminal side of θ is in second quadrant. In the second quadrant, all the trigonometric values except sin are negative.

So, cos θ = -12/13

Learn more about Cosine Value here :

https://brainly.com/question/29162608

#SPJ7

Answer:

10 is the distance.

Answer:

No it's not compulsory.

Step-by-step explanation:

If the ratio of sides are given then that can also help you find angle. Not only that if the relationship between the perpendicular and base are given then you can find angle

E.g.

if the ratios of the sides is 5:4:3 then you can find the angle

Answer:

B (8,031)

Step-by-step explanation:

None of these could be 24,093 + 3 so I'm gonna assume you meant ÷ instead of +

Answer:

90° is rhe correct answer..

Answer:

x+41=90

Step-by-step explanation:

Because that is square which means 90 degrees so 41 degrees plus x equals to 90

Hi there!  

»»————-　★　————-««

I believe your answer is:  

The second option, [tex]\boxed{x+41=90}[/tex].

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

We can use the information given to set up an equation.

[tex]\boxed{\text{An equation to find 'x'.}}\\\\\text{The sum of the angle's measurements: }90$^{\circ}$\\\\\text{The given measurement for one of the angles: }41$^{\circ}$\\\\----------------\\\\\underline{The sum of the two angle measurements would be 90 degress.}\\\\\text{Given angle mesurement} + x = 90\\\\\boxed{41 + x = 90}[/tex]

Option B matches the equation made. Therefore, option B should be the correct answer.  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

D) y= -1/2x+9

Step-by-step explanation:

if u substitute y with 8 u will get 2

if u substitute y with 5 u will get 8

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}=xy_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 8) and (x₂, y₂ ) = (8, 5)

m = [tex]\frac{5-8}{8-2}[/tex] = [tex]\frac{-3}{6}[/tex] = - [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, 9) ⇒ c = 9

y = - [tex]\frac{1}{2}[/tex] x + 9 → D

hello

Step-by-step explanation:

[tex]90.[/tex]

90 is the answer:)

Answer:

2nd is correct

Step-by-step explanation:

ok now mark me brainlist

Answer:

∠A = 30

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

41

Step-by-step explanation:

360-(104+104+111)=41

Answer:

complementary

Step-by-step explanation:

complementary angles are are angles that add up to 90 degrees

Answer:

area of triangle=base*height/2

4*5/2

=20/2

=10

Step-by-step explanation:

Answer:

5^13

Step-by-step explanation:

when multiplying numbers with the same base, you add the exponents

Answer:

5^13

Step-by-step explanation:

5^8 = 390625

5^5= 3125

Since you have to write you answer as a power you would do 5^8+5^5= 5^13

Answer:

= x^2-3x-4/x(x+1)(x-2)

Step-by-step explanation:

x+2/x2+x - 3/x2-x-2

=x+2/x(x+1) - 3/x^2-x-2

=x+2/x(x+1) - 3/x^2-2x+x-2

= x+2/x(x+1) - 3/x(x-2)+1(x-2)

= x+2/x(x+1) - 3/(x+1)(x-2)

Find the LCM

= (x+2)(x-2)- (3x)/x(x+1)(x-2)

=  (x+2)(x-2)- (3x)/x(x+1)(x-2)

= x^2-4-3x/x(x+1)(x-2)

= x^2-3x-4/x(x+1)(x-2)

Answer:

B) 40

Step-by-step explanation:

Angle X and the missing angle inside the triangle are equal as the are opposite angles.

Therefore,

180 - 65 - 75 = 40

true true true true true true true

Answer:

false

Step-by-step explanation:

3(3+2)(3-1) is not =0

The factor of n(n+2)(n-1) = 1

Answer:

x = -11/4

Step-by-step explanation:

4x - 2 = -13

(add 2 on both sides)

4x - 2 + 2 = -13 + 2

4x = -11

(Divide 4 on both sides)

4/4x = -11/4

x = -11/4

Answer:

[tex]4x - 2 = -13\\4x = -13 + 2\\4x = -11\\x = - \frac{11}{4} \\x =- 2.75\\[/tex]

The value of x is  - 11/4 in fraction form & - 2.75 in standard form.

hope it helps

# RainbowSalt2222

Answer:

180

Step-by-step explanation:

90 + 4x + 7x - 20 equals to 180

Answer:

B. 50

Step-by-step explanation:

Answer:

Hope u got your answer

Step-by-step explanation:

U r brilliant

Answer:

V=Pie R^2 H

Step-by-step explanation:

I just looked it up

Answer:

[tex]\theta = 0, \frac{\pi}{2}, \pi,...[/tex]

Step-by-step explanation:

[tex]sin\theta + cos \theta = 1 \\\\squaring both the sides\\\\sin^{2}\theta + cos^{2}\theta+2 sin\theta cos\theta = 1 \\\\2sin\theta cos\theta = 0 \\\\sin2\theta = 0\\\\2\theta = 0, \pi, 2 \pi,....\\\\\theta = 0, \frac{\pi}{2}, \pi,...[/tex]

This is the correct solution.

Answer:

6. (0, 7)

7. (-3, -10)

8. (-3, 9)

9. (2, 0)

Step-by-step explanation:

Answer:

6. (0,7)

7.(-3,-10)

8. (-3,2)

9. (2,0)

Answer:

Solution given:

In right angled triangle

ABC.

with respect to <C=40°

opposite side=AB

adjacent=BC=DE=30ft

now

relationship between opposite side and adjacent

is given by tan angle

tan 40°=oppo/adjacent

tan40°=AB/30

AB=tan40*30

AB=25.2

Now

height of flagpole =AB+BE=25.2+5=30.2ft

option 4th is a required answer