EFGH is a rhombus. Rhombus E F G H is shown. Diagonals are drawn from point E to point G and from point F to point H. All sides are congruent. Given EG = 16 and FH = 12, what is the length of one side of the rhombus? 6 units 8 units 10 units 14 units

Answer:

(d+9/2)(d-9/2)

Step-by-step explanation:

Use the formula. x=

[tex] + \sqrt({b { }^{2} } - 4ac) \div (2a) \ \\ - \sqrt({b { }^{2} } - 4ac) \div (2a) [/tex]

where x=d, a =1 , b=13 , c=22.

since,

[tex]ax {}^{2} + bx + c = 0[/tex]

Answer:

The opposite of the number 1/4 is equal to -1/4.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the number is 1/4 and the opposite of the number will be calculated as,

The opposite will be the negative value of 1/4.

Positive value = 1/4

Negative value = -1/4

Therefore, the opposite of the number 1/4 is equal to -1/4.

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Answer:

Step-by-step explanation:

1.) angle 1 and angle to form a linear pair (given)

2.) angle 1 and 2 are supplementary (supplement theorem)

3.) measure of angle 1 + measure of angle 2 = 180 degrees (def. of supplementary angles)

4.) angle 1 and 3 are supplementary (given)

5.)measure of angle 1 + measure of angle 3 = 180 degrees (def. of supplementary angles)

6.) measure of angle 1+ measure of angle 2 = measure of angle one + measure of angle 3 (congruent supplements theorem)

7.) measure of angle 2 = measure of angle 3 (subtraction property of equality)

8.) angle 2 is congruent to angle 3 (definition of congruence)

Answer:

0.5(100-30) = 35

That's why M∠1 = 35°

Hoped this helped

Answer:

The unit vector in component form is [tex]\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)[/tex] or [tex]\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j[/tex].

Step-by-step explanation:

Let be [tex]\vec u = (2,-3)[/tex], its unit vector is determined by following expression:

[tex]\hat {u} = \frac{\vec u}{\|\vec u \|}[/tex]

Where [tex]\|\vec u \|[/tex] is the norm of [tex]\vec u[/tex], which is found by Pythagorean Theorem:

[tex]\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}[/tex]

[tex]\|\vec u\| = \sqrt{13}[/tex]

Then, the unit vector is:

[tex]\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)[/tex]

[tex]\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)[/tex]

The unit vector in component form is [tex]\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)[/tex] or [tex]\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j[/tex].

Answer:

2nd option= 0.5608

3rd option=0.5608

6th option=0.5608

7th option=0.5608

Answer:

9 4/33.

Step-by-step explanation:

0.12 repeating = 12/99

= 4/33.

Answer:

Salad cost = $4

Sandwiches cost= $6.5

Drinks cist= $2

Step-by-step explanation:

Let salad = x

Sandwiches= y

Drinks= z

2x+2y+z= 23...... equation one

3x+y+3z= 24.5 .... equation two

X= 2z.... equation three

Substituting equation three into equation one and two

2(2z) +2y +z= 23....

3(2z)+y +3z= 24.5....

2y +5z= 23.... equation 4

y + 9z= 24.5...equation 5

Multiplying equation 5 with 2

2y +5z= 23

2y + 18z= 49

Solving simultaneously

13z= 26

Z= 26/13

Z= 2

2y +5z= 23

2y +5(2)= 23

2y= 23-10

2y= 13

Y= 6.5

X= 2z

X=2(2)

X= 4

Salad cost = $4

Sandwiches cost= $6.5

Drinks cist= $2

Answer:

length= 24cm

Step-by-step explanation:

interpreting the question

L=3w

perimeter=2(l+w)

64=2(3w+w)

64=2(4w)

64=8w, Divide both sides by 8

w= 8cm

since w= 8

L=3w

L=3×8

L=24cm

Answer:

The answer is 29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

first make into improper fraction then mulityply and then simplify

Answer:

<c=152°

Step-by-step explanation:

We know that A and B are equal because it's an isosceles triangle.

x-14=x/2

2(x-14)=x

2x-28=x

x=28

<A=x-14=28-14=14

<B=x/2=28/2=14

<C=180-14-14=152°

Step-by-step explanation:

Hey, there!!

[tex] = \frac{43}{7} [/tex]

Divide 43 by 7.

you will get quotient as 6 and remainder is 1.

so,

The proper fraction is:

[tex] = 6 \frac{1}{7} [/tex]

Hope it helps...

First must do the division:

43 : 7 = 6 with 1 of rest

so 43 = 6 * 7 + 1

with the denominator:

[tex]\frac{43}{7} = \frac{6*7+1 }{7}[/tex]

[tex]\frac{43}{7} = \frac{6*7 }{7}+\frac{1}{7}[/tex]

semplify:

[tex]\frac{43}{7} = 6+\frac{1 }{7}[/tex]

Answer:

a+3

Step-by-step explanation:

You cannot go any further in answering this question.  These two terms are not like terms so they cannot be combined.  Therefore, the answer is just a+3 itself.

Answer:

  a) (3, -4), (2, 4), (-5, -6)

  b) (4, 3), (-4, 2), (6, -5)

Step-by-step explanation:

a) Reflection in the x-axis negates the y-coordinate:

  (x, y) ⇒ (x, -y)

  (3, 4) ⇒ (3, -4)

  (2, -4) ⇒ (2, 4)

  (-5, 6) ⇒ (-5, -6)

__

b) Reflection in the line y=x swaps the x- and y-coordinates:

  (x, y) ⇒ (y, x)

  (3, 4) ⇒ (4, 3)

  (2, -4) ⇒ (-4, 2)

  (-5, 6) ⇒ (6, -5)

Answer:

Step-by-step explanation:

assume the coin is circular.

i think radius=2.0 cm

∵ 20 cm is too big for a coin.

i have calculated the area of both the surfaces.

area =2×πr²=2×π×2.0²=8 π=8×3.14=25.12 cm²

if only one surface then area=π×2²=4π≈12.57 cm²

Answer:

-40

Step-by-step explanation:

Answer:

refraction

Step-by-step explanation:

from the pf quiz

Answer:

refraction

Step-by-step explanation:

Answer:

5.13*1.8=9.234

4.124/0.4=10.31

Step-by-step explanation:

Answer with explanation:

A x% confidence interval interprets the percentage of certainty that a person can believe that the true population parameter.

It is also represented as Point estimate ± Margin of error

Confidence level is proportional to the Margin of error.

There are 0 ones in the number 600 after writing the number in the form of 600 + 00 + 0

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

We have a number:

= 600

We can write it as:

600 =       600     +      00    + 0

Number    hundreds   tens    ones

There are 0 ones in the number 600.

Thus, there are 0 ones in the number 600 after writing the number in the form of 600 + 00 + 0

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Answer: 1/9

Step-by-step explanation:

       First pick   and       Second pick

    [tex]\dfrac{5\ \text{white socks}}{16\ \text{total socks}}\times \dfrac{4\ \text{remaining white socks}}{15\ \text{total remaining socks}}=\dfrac{20}{180}\rightarrow \large\boxed{\dfrac{1}{9}}[/tex]

Answer:10x6=60

60

0 hundreds 60 tenths 0 oned

Step-by-step explanation:

Answer:

chemical formula for silver sulfate Ag2SO4

Answer:

Ag2SO4

Step-by-step explanation:

..............

Complete question:

Two six-sided dice are rolled (one red one and one green one). Some possibilities are (Red= 1, Green=5) or (Red=2, Green=2) etc.

a)How many total possibilities are there?

For the rest of the questions, we will assume that the dice are fair and that all the possibilities in (a) are equally likely.

b)What is the probability that the sum on the two dice comes out to be 11?

c)What is the probability that the sum on the two dice comes out to be 7?

d)What is the probability that the numbers on the two dice are equal?

Answer:

Kindly check explanation

Step-by-step explanation:

Total probabilities :

Total possible outcomes on each dice = 6

Total probabilities = 6² = 36

b)What is the probability that the sum on the two dice comes out to be 11?

Total required outcome = 2

Total possible outcomes = 36

Probability = required outcome / Total possible outcomes

P(sum on both dice = 11) = 2 / 36 = 1/18

c)What is the probability that the sum on the two dice comes out to be 7?

Required outcome = 6

Possible outcomes = 36

P(obtaining a sum of 7) = 6/36 = 1/6

d)What is the probability that the numbers on the two dice are equal

= required outcome / possible outcomes

Required outcome = 1,1 ; 2,2; 3,3; 4,4 ; 5,5 ; 6,6

= 6/36 = 1/6

Answer:

See image below