Write an equation for the line parallel to the given line that contains C.
C (1,8); 5/7x + 7

3.5

The triangle shown is a 30-60-90 special right triangle. All right triangles that have a 30-degree angle will be, but if needed you can use the equation: 180 - (90 + 30) = x, to find the missing angle.

Special Right Triangles

Special right triangles are useful because they allow us to easily find missing sides without having to use sin, cos, or tan. All special right triangles have formulas that can be used to find missing sides.

Formulas

30-60-90 triangles have 3 sides: the hypotenuse (c), the short leg (b), and the long leg (a).

The formulas are as follows:

Solving for b

We are already given c, so the easiest way to find b is to use the formula b = 0.5c. Just plugin the c-value.

Once simplified the final answer is

The correct answer is option D which is the volume of the square pyramid will be  [tex]V = \dfrac{1}{2}x^2y\ cm^3[/tex].

A solid made up of a square base and four triangles connected side by side and meet at the same edge is called a square pyramid.

Given that:-

The volume of the pyramid will be calculated as:-

Volume = [tex]\dfrac{1}{2}[/tex] x Length of square pyramid x Height

Volume = [tex]\dfrac{1}{2}[/tex]  x (x)² x y

Volume = [tex]\dfrac{1}{2}[/tex] x²y

Therefore the correct answer is option D which is the volume of the square pyramid will be  [tex]V = \dfrac{1}{2}x^2y\ cm^3[/tex].

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Okay, so out of 8 kids, we know that 6/8 are girls and 2/8 are boys. Its asking us what fraction of the kids are girls. The denominator (the bottom part of the fraction will be the amount of kids at the party, 8) and the top part, the numerator, will be 6 as there are 6 girls at the party of the 8 attendees.

So the fraction is 6/8. However we can reduce this by dividing both sides of the fraction by a common factor, 2!

So your final answer is 3/4.


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Answer:

210km

Step-by-step explanation:

2hours = 180km

2hours = 120minutes

40mins =180/3

           =60km

20mins=60/2

            =30km

2h and 20mins =30+180

                          =210km

Answer:

210kms

Step-by-step explanation:

Speed of the car per hour = 90km/h

or, speed of the car per minute = 90/60kms=1.5km/minute

Now,

car drives for 2hours and 20 minutes

or, (2*60 +20) minutes= 140minutes

Distance of the car drive= minutes travelled* speed per minute

= 140*1.5kms

=210kms

Answer:

8. 14

9. 14π

10. 49π

11. 1.75π

12. [tex]\frac{49}{12}[/tex] π

Step-by-step explanation:

If the radius is 7, the diameter is 14.

Circumference is pi * diameter, so 14π

Area is π r², so 49π

Arc length is [tex]\frac{n}{360}[/tex] * 2πr, so [tex]\frac{45}{360}[/tex] * 14π = 1.75π

Sector Area is [tex]\frac{n}{360}[/tex] * πr², so [tex]\frac{30}{360}[/tex] * 49π = [tex]\frac{49}{12}[/tex]π

Answer:

y+3=10

solution,

y+3=10

y+3-3=10-3

y=7

thus,

y=7ans

Answer:

the answer is B  

Step-by-step explanation:

I used photo math it shows the correct answer

Answer:

2nd one (B)

Step-by-step explanation:

Answer:

The ratio of sides of triangle = 13:14:15

perimeter = 84 CM

perimeter of a triangle = Sum of all sides

let the sides of a triangle be 13x, 14x and 15x

84 = 13x + 14x + 15x

84 = 42x

x = 2

13x = 13* 2 = 26 CM

14x = 14*2 = 28 CM

15x = 15*2 = 30 CM

Step-by-step explanation:

multiply 2×3 to get 6 and then multiply 6×4

or

multiply 3×4 to get 12 and then multiply 12×2

Answer:

Perimeter of a rectangle: 2L + 2W

2(7u - 8) + 2(10u + 3)

= 14u - 16 + 20u + 6

= 34u - 10

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

The perimeter of a rectangle.

P = 2 ( length + width)

The perimeter of the rectangle is represented by the expression

(34u - 10) centimeters.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

The width of a rectangle = (10u + 3) centimeters.

The length of the rectangle =  (7u - 8) centimeters.

The perimeter of a rectangle is given as,

P = 2 ( length + width)

P = 2 ( 7u - 8 + 10u + 3)

P = 2 (17u - 5)

P = (34u - 10) centimeters.

Thus,

The perimeter of the rectangle is represented by the expression

(34u - 10) centimeters.

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Answer:

it is a trapezoid and a quadrilateral

Explaination -

Square is a quadrilateral of 4 equal side and 4 equal angles so it is not square as all sides are unequal and all angles are also unequal

rhombus is a quadrilateral which has equal sides 4 equal angles and it's diagonal bisects each other.

rectangle has two opposite sides equal and parallel and each Ange equal as 90°

parallelogram is a quadrilateral in which a pair of opposite sides are parallel and equal and the remaining sides are unequal

Answer:

[tex]4a^2b^2c^3\left(\sqrt[3]{b}\right)[/tex]

Step-by-step explanation:

**Please note that the expression quoted in the question is likely incorrect (see attachment)**

Assuming the expression is:

[tex]\sqrt[3]{64a^6b^7c^9}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}{ \cdot \sqrt{b}[/tex]

[tex]\implies \sqrt[3]{64} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^7}\cdot \sqrt[3]{c^9}[/tex]

Rewrite 64 as 4³:

[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^7}\cdot \sqrt[3]{c^9}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \sf to\:\:b^7[/tex]

[tex]\implies b^7=b^{6+1}=b^6b^1=b^6b[/tex]

Therefore:

[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^{6}b}\cdot \sqrt[3]{c^9}[/tex]

[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^{6}}\cdot \sqrt[3]{b}\cdot \sqrt[3]{c^9}[/tex]

[tex]\textsf{Apply exponent rule} \quad \sqrt[n]{a^m}=a^{\frac{m}{n}}[/tex]

[tex]\implies 4^{\frac{3}{3}} \cdot a^{\frac{6}{3}} \cdot b^{\frac{6}{3}} \cdot \sqrt[3]{b} \cdot c^{\frac{9}{3}}[/tex]

Simplify:

[tex]\implies 4^1 \cdot a^2 \cdot b^2 \cdot \sqrt[3]{b} \cdot c^3[/tex]

[tex]\implies 4a^2b^2c^3\left(\sqrt[3]{b}\right)[/tex]

The expression is seemed to have none of the above solutions

Answer:

4

Step-by-step explanation:

5

The equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex]  + 6y²Sin[tex]\theta[/tex].

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The value of the expression will be given as:-

r³ = r(x² + y²)

( 6Sin[tex]\theta[/tex])³ = 6Sin[tex]\theta[/tex] (x² + y²)

216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex]

Therefore the equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex]  + 6y²Sin[tex]\theta[/tex].

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The peasant had 28 hens and 42 rabbits

Represent hens with h, eggs with e and rabbits with r.

So, we have:

2r = 3h

e = 1/3h

Make h the subject in e = 1/3h

h = 3e

He got 72 pennies.

So, we have:

r + h = 72

Multiply through by 2

2r + 2h = 144

Substitute 2r = 3h in 2r + 2h = 144

3h + 2h = 144

Evaluate the sum

5h = 144

Divide by 5

h = 28.8

Remove decimal

h = 28

Recall that:

2r = 3h

So, we have:

2r= 3 * 28

Divide by 2

r = 3 * 14

Evaluate the product

r = 42

Hence, the peasant had 28 hens and 42 rabbits

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Answer:

32

Step-by-step explanation:

the pattern of sticks from the first 3 diagrams is

7 , 12 , 17 ,..

note the pattern increases by 5 each time , then continue by adding 5 to the previous value.

4th = 17 + 5 = 22

5th = 22 + 5 = 27

6th = 27 + 5 = 32

Answer:

4cos(θ)

{4cospheta}

Answer:

4cos(θ)

{4cospheta}

Step-by-step explanation:

[note, brainly doesn't allow pheta to be entered as a symbol when writing an equation, so I had to write it out, my apologies]

[tex]\frac{\sin \left(2pheta \right)}{\sin \left(pheta\right)}+\frac{1+\cos \left(2pheta\right)}{\cos \left(pheta\right)}\\[/tex]

[tex]\frac{1+\cos \left(2pheta\right)}{\cos \left(pheta\right)}\ = 2\cos \left(pheta\right)[/tex]

[tex]\frac{\sin \left(2pheta \right)}{\sin \left(pheta\right)}=2\cos \left(pheta\right)[/tex]

2cos(θ) + 2cos(θ) = 4cos(θ)

so, 4cos(θ) is your answer

(4cospheta)

hope this helps!! :)

Using proportions, it is found that the measure of the inscribed angle B is of 30º.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In a circle, the inscribed angle is half the measure of the outside angle. Hence, in this problem, the measure of angle B is of 50% of 60º, hence:

m<B = 0.5 x 60º = 30º.

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Answer:

Using proportions, it is found that the measure of the inscribed angle B is of 30º.

Step-by-step explanation:

Answer:

Data Set C

Step-by-step explanation:

You can see that the data is best fit and better looking and fitting to the line in the data set C.

Answer:

Step-by-step explanation:

The given relations can be used to write two equations describing the coins. One equation can express the total number of coins; the other, their total value.

__

Let d and q represent the numbers of dimes and quarters, respectively. The the total number of coins is ...

  d + q = 25

and their total value is ...

  0.10d +0.25q = 5.20

Using the first equation to write an expression for d, we can substitute that into the second equation.

  d = 25 -q

  0.10(25 -q) +0.25q = 5.20

  0.15q = 2.70 . . . . . . . . . collect terms, subtract 2.50

  q = 18 . . . . . . . . . . . divide by 0.15

  d = 25 -q = 7

You have 18 quarters and 7 dimes.

_____

Additional comment

It is generally convenient to solve for the number of the higher-value coin. That way, the numbers in the equations stay positive, tending to reduce errors.

The zeros and intercepts of the polynomial m^2 + 5m + 4 will be different.

A quadratic function is a function that has a degree of 2.

Given the following equation

f(m) = m^2 + 5m + 4

The x-intercept occurs at the point where f(m) is zero and same is applicable to the zeros of the function.

This shows that the zeros and intercepts of the polynomial m^2 + 5m + 4 will be different.

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Answer:

System of linear equations

The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.

We can solve it in two different ways

1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.

When compared it gives us:

2. Convert both equations from standard to slope-intercept form and compare:

Work out values of a and b:

Answer:

Nobody likes a short, one-word-answer. Let’s make sure other people understand everything.

Step-by-step explanation:

By lisa Simpson

Answer:

9

Step-by-step explanation:

The angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°

From the question, we are to determine the angle measurements that the carpenter needs to cut the carpet to make it fit in his room

The diagram shows a heptagon with two of its angles, a right-angle each, and the remaining angles have equal values, x.

First, we will calculate the sum of angles in a heptagon

The sum of angles in a polygon is given by the formula

Sum of angles in a polygon = (n-2)180°

Where n is the number of sides

For a heptagon, n = 7

∴ Sum of angles in a heptagon = (7-2)180°

= 5×180°

= 900°

Now, considering the given diagram, we can write that

x + x + x + x + x + 90° + 90° = 900°

5x + 180° = 900°

5x = 900° - 180°

5x = 720°

x = 720°/5

x = 144°

Hence, the angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°

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Answer:

Which of the following completes Ted's proof?

In square ABCD; angle ADC = angle BCD

In square ABCD; angle ADP = angle BCP

In triangles APD and BPC; angle ADC = angle BCD

In triangles APD and BPC; angle ADP = angle BCP\

If two towns that are 32 km apart are 8 cm on a map. Then the scale factor will be 1 cm = 4 km.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

Two towns that are 32 km apart are 8 cm on a map.

Then the scale factor will be

8 cm = 32 km

1 cm = 4 km

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The correct option is Option A:  x > 38° this statement about x value is true.

Given in triangle ΔNPO the angle ∠ PNM is the exterior b to the interior angle ∠ PNO of the triangle.

Given the angle ∠NPO= 38°

∠PON= 39°

As we know the exterior angle is the sum of the two farthest interior angles of the triangle.

Then we can write the angle ∠PNM as

So, ∠PNM = ∠NPO + ∠PON

⇒ x = 38° + 39° = 77° {Given that ∠ PNM = 38° and ∠ PON = 39°}

{Since the exterior angle of an interior angle is equal to the sum of the other two interior angles of a triangle}

As x=77°

which satisfies the relation x=77° >38°.

Therefore,The correct option is Option A:  x > 38° this statement about x value is true.

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Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

3 and 4

Step-by-step explanation:

well you can approximate by squaring values

2^2 = 4

3^2 = 9

4^2 = 16

the value should fall somewhere between 3 and 4 since the square root of 9 is 3 and the square root of 16 is 4