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4 years ago

A parallelogram with congruent diagonals is a _____.

Mathematics

1 answer:

Advocard [28]4 years ago

7 0

An example of a parallelogram with congruent diagonals is a square.

Hope this helps =)

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Dave Flip a coin 20 times and got heads on eight of the flips Based on Dave's results what is the experimental probability of th

Alex Ar [27]

Answer:

Experimental probability of head = 2 / 5 or 40%

Step-by-step explanation:

Given:

Total chances of getting head = 20 times

Number of heads come = 8

Find:

Experimental probability of head

Computation:

Experimental probability of head = Number of heads come / Total chances of getting head

Experimental probability of head = 8 / 20

Experimental probability of head = 2 / 5 or 40%

3 0

3 years ago

4x+5y=20 in point slope form

Anna35 [415]

Answer:

y = -4/5x - 4

Step-by-step explanation:

y - y1 = m(x-x1)

4x + 5y = 20 ( subtract 4x on both sides)

5y = -4x + 20 (divide by 5 on each side)

y = -4/5x + 4

So we know one point is (0,4) y-intercept

now plug in (0,4)

y - 4 = -4/5(x-0) (Distribute -4/5 to x - 0)

y - 4 = -4/5x (now add 4 on each side)

y = -4/5x - 4

4 0

3 years ago

Read 2 more answers

Find the measure of each of the angles. Don’t forget to label your answer

user100 [1]

Answer:

$a=125^o$

$b=55^o$

$c=55^o$

$d=55^o$

$e=125^o$

$f=55^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$(2x+25)^o=(x+75)^o$ ----> by alternate interior angles

solve for x

Group terms

$2x-x=75-25$

$x=50$

step 2

Find the measure of angle a

we know that

$a=(x+75)^o$ ----> by vertical angles

substitute the value of x

$a=(50+75)=125^o$

step 3

Find the measure of angle b

we know that

$a+b=180^o$ ----> by supplementary angles (form a linear pair)

we have

$a=125^o$

substitute

$125^o+b=180^o$

$b=180^o-125^o=55^o$

step 4

Find the measure of angle c

we know that

$c=b$ ----> by vertical angles

we have

$b=55^o$

therefore

$c=55^o$

step 5

Find the measure of angle d

we know that

$d=b$ ----> by corresponding angles

we have

$b=55^o$

therefore

$d=55^o$

step 6

Find the measure of angle e

we know that

$e=a$ ----> by alternate exterior angles

we have

$a=125^o$

therefore

$e=125^o$

step 7

Find the measure of angle f

we know that

$f=d$ ----> by vertical angles

we have

$d=55^o$

therefore

$f=55^o$

4 0

3 years ago

If v1 = (2,-5) and v2 = (4,-3), then the angle between the two vectors is _________. Round your answer to two decimal places.

siniylev [52]

The angle between two vectors is given by:
cos (x) = (v1.v2) / (lv1l * lv2l)
We have then:
v1.v2 = (2, -5). (4, -3)
v1.v2 = (2 * 4) + (-5 * (- 3))
v1.v2 = 8 + 15
v1.v2 = 23
We look for the vector module:
lv1l = root ((2) ^ 2 + (-5) ^ 2)
lv1l = 5.385164807
lv2l = root ((4) ^ 2 + (-3) ^ 2)
lv2l = 5
Substituting values:
cos (x) = (23) / ((5.385164807) * (5))
x = acos ((23) / ((5.385164807) * (5)))
x = 31.33 degrees
Answer:
The angle between the two vectors is:
x = 31.33 degrees

3 0

3 years ago

A small company that manufactures snowboards uses the relation below to model its profit. In the model,

amm1812

Answer:

a) x₁ = 14

x₂ = - 6

b) x = 4

c) P(max ) = 4000000 $

Step-by-step explanation:

To find the axis of symmetry we solve the equation

a) -4x² + 32x + 336 = 0

4x² - 32x - 336 = 0 or x² - 8x - 84 = 0

x₁,₂ = [ -b ± √b² -4ac ]/2a

x₁,₂ = [ 8 ±√(64) + 336 ]/2

x₁,₂ = [ 8 ± √400 ]/2

x₁,₂ =( 8 ± 20 )/2

x₁ = 14

x₂ = -6

a) Axis of symmetry must go through the middle point between the roots

x = 4 is the axis of symmetry

c) P = -4x² + 32x + 336

Taking derivatives on both sides of the equation we get

P´(x) = - 8x + 32 ⇒ P´(x) = 0 - 8x + 32

x = 32/8

x = 4 Company has to sell 4 ( 4000 snowboard)

to get a profit :

P = - 4*(4)² + 32*(4) + 336

P(max) = -64 + 128 + 336

P(max) = 400 or 400* 10000 = 4000000

8 0

3 years ago