Question 14 (5 points)
image

Which of the following is a true statement about the rhombus shown?
Question 14 options:

A)

≅

B)

m∠SPQ = 90°

C)

m∠STP = 90°

D)

≅



Question 15 (5 points)
image

Determine the value of x.
Question 15 options:

A)

x = 90°

B)

x = 45°

C)

x = 20°

D)

x = 4.5°

The product of a rational number and an irrational number is an irrational

number.

The correctly completed proof is presented as follows;

To prove that 4·π is irrational, with the assumption that, 4·π = [tex]\displaystyle \frac{a}{b}[/tex], where b ≠ 0. Which by isolation of π gives π = [tex]\displaystyle \mathbf{ \frac{a}{4 \cdot b}}[/tex].

The right side of the equation is irrational, because the left side of the

equation is irrational, this is a contradiction.

Therefore, the assumption is wrong and the number 4·π is irrational.

Reasons:

The proof is presented as follows;

With the assumption that 4·π is rational, we have;

[tex]\displaystyle 4 \cdot \pi = \mathbf{\frac{a}{b}}[/tex]

Where;

b ≠ 0

Making π the subject of the above formula, by isolating, it, we have;

[tex]\displaystyle \pi = \mathbf{\frac{a}{4 \cdot b}}[/tex]

The right side of the equation is rational, however, the left side of the

equation π is irrational, which results in a contradiction, therefore, the

product 4·π is an irrational number.

Learn more about irrational numbers here:

https://brainly.com/question/1625874

Answer:

By calculating the distance of a star to the Sun, astronomers can calculate the distance from Earth to the star.

Reasons

The given parameters are;

The distance from the star to the Sun = d

The angle formed by the ray to the Sun and the ray to Earth from the star, θ = 0.00001389 degrees

The average distance from Earth to the Sun = 1 AU

By trigonometric ratios, we have;

[tex]\displaystyle tan(\theta) = \mathbf{\frac{Opposite}{Adjacent}}[/tex]

Therefore;

[tex]\displaystyle tan(\theta) = \frac{1}{d}[/tex]

The expression to calculate for d for any star is therefore;

The angle given for θ for the referenced star is θ = 0.00001389

Therefore;

[tex]\displaystyle d = \frac{1 \, AU}{tan(0.00001389^{\circ}) } \approx 4,124,966.13 \, AU[/tex]

Learn more about trigonometric ratio here:

https://brainly.com/question/14421002

https://brainly.com/question/8514165

Answer:

y=4x+5

Step-by-step explanation:

Answer:

120 yards,360 feet's of length and 53 1/3 yards,160 feet of width

Answer:

2x^4+4x^3+5x^2-7x+5

Step-by-step explanation:

Answer:

Solved: w = 2  

Step-by-step explanation:

Combine like terms

5w+4w = 9w

Isolate or make w alone

9w= 18 so divide both sides by 9 to make w alone

9w ÷ 9 = w

18 ÷ 9 = 2

w = 2

Answer:

you just add 5w and 4w and taht is 9w

[tex]9x = 18 \\ w = 18 \div 9 \\ w = 2[/tex]

Answer:12m

Step-by-step explanation:

Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2

15^2 = 9^2 + x^2

225-81 = x^2

144 = x^2

x = 12m

Answer:

13

Step-by-step explanation:

The proportion is solved and the number of muffins is M = 16

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The ratio of cookies to muffins made at The Berry Bakery is 3 : 4

Now , the number of cookies is = 12

So , the proportion is

3 / 4 = 12 / M

Multiply by M on both sides , we get

( 3/4 )M = 12

Divide by 3/4 on both sides , we get

M = 16 muffins

Hence , the number of muffins is 16

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

Answer:

6/7

Step-by-step explanation:

Answer:

y intercept= 12

x intercept = 4

Step-by-step explanation:

It is just one interception because the equation is linear

Answer:

y=-1/2x+3

Step-by-step explanation:

Step-by-step explanation:

Subtract x both sides

2y = 6 + (-x)

Divide by 2 both sides

y = 3 + (-1/2x)

y = -1/2x + 3

Answer:

#1= 5

#2= i think it's a red square

#3= 243

Step-by-step explanation:

ok so im rlly sorry but i think i can only solve 1 2 and 3:

for #1:

the pattern is subtracting 1,2,3,4 each time it goes to the next number.

29-28=1

28-26=2

26-23=3

23-19=4

19-?=5

?=14

19-14=5

so answer would be 5

for #2:

the pattern goes red triangle, red square, blue triange, blue square, red triangle, etc.

so with it continuing on, it would be red square

for #3:

the pattern looks like they're multiplying by 3 each time:

3x3=9

9x3=27

27x3=81

81x3=?

?=243

81x3=243

so the answer would be 243

hope this helped :)

Answer:

To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:

Answer:

x = 46°

Step-by-step explanation:

The sum of interior angles = (n-2) × 180°

= (5-2) × 180°

= 540°

2x+3x+3x-4+3x+x-8 = 540°

12x = 552°

x = 46°

Answer:

Both are false

Step-by-step explanation:

When you dilate something by a number >1 it gets larger.

Answer:

no

Step-by-step explanation:

no. substitute -1 for x and -2 for y.

the first one is -1 - 10

this equals -11 not 3

Answer:

90,000

Step-by-step explanation:

3750ml/hr *24 hrs

Therefore, A leaking tap will waste 90000 ml in a day.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you

Step-by-step explanation:

Answer:

-9 would be your y-intercept

Step-by-step explanation:

Have a great rest of your day

#Nova

Answer:

The car value is 9100

Step-by-step explanation:

you multiply 3 1/2 times 2600 and you get 9100, which is the value of the car.

hope that helps!

Answer:

f(x) = x+9

g(x) = 2/x^2

Step-by-step explanation:

I just thought at a simple function for f(x). It could have been just f(x) = x and g(x) = 2/x^2 + 9. Nothing would have changed.

Answer:

84.21%

Step-by-step explanation:

When working with percentages, one must cross multiply and divide

first you set up your numbers in fraction form…

[tex]\frac{16}{19} \frac{x}{100}[/tex]

now you multiply the two number you do have (16 and 100)…

[tex]16*100\\ 1600[/tex]

then divide by the other number that is known (19)…

1600÷19≈84.21

hope this helps!

Answer:

C

Step-by-step explanation:

because acute angles have to be less than 90 degrees so therefore it's C.

Answer:

it would be c 78 degrees because under 90 degrees makes a acute angle anything that is under 90 degrees makes acute and anything over 90 degrees makes obtuse angle so c

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

i think

Step-by-step explanation:

6/15 = 12/30 = 24/60 = 48/75

Answer:

Step-by-step explanation:

Answer:

Real number

Step-by-step explanation:

Unless it has an i with it then it's an imaginary number but because it doesn't have an i with it it's real

Answer:

real number

Step-by-step explanation:

Hi! -4 is a real number because imaginary numbers are characterized as i= sqrt -1

If you see a number with an i in it, then it is imaginary. In this case, however, we have a real number.

I hope this helps!

Answer:

no

Step-by-step explanation:

y = 8x

Try (7, 7).

Is 7 = 8(7)?

Is 7 = 56?

The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.

Answer:

Step-by-step explanation:

16x + 8y = 20.88

12x + 4y = 13.40

Solve for x and y

x is the cost of 1 pen

4x^2 + 2x - 4

Hope this helps