Can someone please explain how they got 12??

Answer:

x = 12

Step-by-step explanation:

Find the value of x if the given triangle is equilateral.

an equilateral rectangle has internal angles of 60 ° (3 * 60 = 180 °).

to find the value of x divide 60 by 5 and you will have that x = 12

(5 * 12 = 60)

Answer:

The missing angle is 55°.

Step-by-step explanation:

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

The three interior angles of a triangle add up to 180°.

This means that:

\(x\textdegree + 75\textdegree+50\textdegree=180\textdegree\\\rule{150}{0.5}\\x - \text{unknown angle}\)

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

Using the equation above, we would solve for x.

\(x\textdegree + 75\textdegree+50\textdegree=180\textdegree\\\rule{150}{0.5}\\x\textdegree + 75\textdegree+50\textdegree=180\textdegree\\\\x\textdegree + 125\textdegree=180\textdegree\\\\x\textdegree + 125\textdegree-125\textdegree=180\textdegree - 125\textdegree\\\\\boxed{x = 55\textdegree}\)

The missing angle should be 55°.

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

Hope this helps.

Answer:

25

Step-by-step explanation:

75 - 25 is 50

50 - 25 is 25

So the answer is 25

Hope this helps!

The value of x in the above diagram is 9

A triangle is a polygon with 3 sides and 3 angles.

Triangles are of different types: isosceles, equilateral, scalene and right-angle triangles.

from the diagram, the triangle is and isosceles triangle and for isosceles triangle the base angles are equal.

so that,

5x+36 = 9x

by collecting like terms,

9x - 5x = 36

4x = 36

x = 36/4

x = 9

In conclusion the solution to the given problem is x = 9

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The solution of the system of equation x - y = 4, x + y = 2 is (-1, 3).

System of equation can be formed using different method such as graphical method, elimination method and substitution method.

Therefore, let's solve the system of equation by using elimination method.

x - y = 4

x + y = 2

subtract the equations

2y = -2

divide both sides of 2

y = -2 / 2

y = -1

Hence, let's substitute y in equation(ii)

x + y = 2

x - 1 = 2

x = 2 + 1

x = 3

Therefore, the solution is (-1, 3)

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The inequality to describe the possible temperature in Bismarck, North Dakota given that t represent temperature is t < 4°F

The inequality signs are;

Let

So

t < 4°F in Bismarck, North Dakota

This means, temperature in Bismarck, North Dakota is less than 4°F

Therefore, t < 4°F is the inequality to represent temperature in Bismarck, North Dakota.

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Answer:

− z −  4.8  

Step-by-step explanation: was this the answer you needed? if not just delete it

i. ∃x ∈ Z, x² = 2x, ii. ∀y ∈ school buses, y is not purple and iii. ∀x ∈ R, if x is even, then x² is even.

i. The equivalent predicate statement for the first statement is:

∃x ∈ Z, x² = 2x

The symbol "∃" means "there exists", the symbol "∈" means "is an element of", and the symbol "Z" represents the set of integers.

ii. The equivalent predicate statement for the second statement is:

∀x, (x is a school bus) → (x is not purple)

The symbol "∀" means "for all", and the symbol "→" means "implies".

iii. The equivalent predicate statement for the third statement is:

∀x ∈ R, (x is even) → (x² is even)

The symbol "∈" means "is an element of", and the symbol "R" represents the set of real numbers.

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Answer:

i woould say but

a

The median of the data set lies in 20 - 24 minutes, and the range is 24.

The median of the dataset is calculated by applying the following method:

Total frequency of the distribution is calculated as follows;

= 1 + 2 + 6 + 10 + 8

= 27

median = (27 + 1 )/2 = 28/2 = 14

Start counting the frequency and you will notice that the median lies in 20 - 24 minutes.

The range of the data is the difference between the highest and the smallest.

= 29 - 5

= 24 minutes

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ANSWER: The mean is less than the median which in most cases is less than the mode. The mean is more accurate but if the question comes for a double exponential distribution the median is more accurate. Finally, the mean is greater than the mode if the distribution is positively skewed. If the mean is less than the mode, the distribution is negatively skewed. If the mean is greater than the median, the distribution is positively skewed.

Step-by-step explanation:

Answer:

$19.43

Step-by-step explanation:

when 5.5 pounds cost $14.74 then 1 pound costs $2.68

because 14.74 divided by 5.5 equals 2.68

To calculate the price of 7.25 you multiply the price for 1 pund by 7.25

7.25 * 2.68 = 19.43

Answer:

no solution.

Step-by-step explanation:

3x+7=14+3x

3x-3x=14-7

      0=7

0 is not equal to 7, hence making this equation to have no solution.

Answer: no solution

Step-by-step explanation:

Answer:

c is 30.

The angles, from left to right, are:

66, 94, and 20.

Step-by-step explanation:

The three angles form a straight angle. In other words, they sum to 180. So, we can write the following equation:

\((2c+6)+(3c+4)+(\frac{1}{2}c+5)=180\)

Let's solve for c. Combine like terms:

\((2c+3c+0.5c)+(6+4+5)=180\)

Add:

\(5.5c+15=180\)

Subtract 15 from both sides:

\(5.5c=165\)

Divide both sides by 5.5:

\(c=30\)

So, the value of c is 30.

Now, substitute it into each of the angles to find their respective measures.

Left-Most Angle:

We have:

\(2c+6\)

Substitute 30 for c. This yields:

\(=2(30)+6\)

Multiply and add:

\(=60+6=66\)

Middle Angle:

We have:

\(3c+4\)

Substitute 30 for c:

\(=3(30)+4\)

Multiply and add:

\(=90+4=94\)

Right-Most Angle:

We have:

\(\frac{1}{2}c+5\)

Substitute 30 for c:

\(=\frac{1}{2}(30)+5\)

Multiply and add:

\(=15+5=20\)

So, our angles, from left to right, are: 66, 94, and 20.

And the value of c is 30.

And we're done!

∑ Hey, microhiezv ⊃

Answer:

y = 26/3

Step-by-step explanation:

Given:

\(\frac{1}{4}\left(3y+2\right)=7\)

Solution~:

\(4\cdot \frac{1}{4}\left(3y+2\right)=7\cdot \:4\)                              - [ Multiply both sides by 4]

  \(3y+2=28\)                                       - [ Simplify]

\(3y+2-2=28-2\)                            - [ Subtracting 2 from both sides]

\(3y=26\)                                               - [ Simplify]

\(\frac{3y}{3}=\frac{26}{3}\)                                                 - [ Divide both sides by 3]

\(y=\frac{26}{3}\)

xcookiex12

8/22/2022

the answer is x equal to 18

Answer:

0.48

Step-by-step explanation:

Answer: 0.48 Step-by-step explanation: - 1

The graph of quadrilateral ABCD is attached below and it's area is 25.5 squared units

To graph the vertices of the quadrilateral ABCD, we need to use a graphing calculator to find the sides and then the area can be calculated as;

We can use the Shoelace Formula to find the area of the quadrilateral. The Shoelace Formula is based on the idea of using the coordinates of the vertices of the polygon to calculate its area.

The formula is:

Area = 1/2 * |(x1y2 + x2y3 + ... + xny1) - (y1x2 + y2x3 + ... + ynx1)|

where (x1,y1), (x2,y2), ..., (xn,yn) are the coordinates of the vertices of the polygon in order, either clockwise or counterclockwise.

Using this formula, we get:

Area = 1/2 * |(13 + 2(-3) + 01 + (-3)4) - (42 + 30 + (-3)(-3) + 11)|

Area = 1/2 * |(-3 - 6 - 12 - 12) - (8 + 0 + 9 + 1)|

Area = 1/2 * |-33 - 18|

Area = 1/2 * 51

Area = 25.5

Therefore, the area of quadrilateral ABCD is 25.5 square units.

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Answer:

x = 1

y = -1

Step-by-step explanation:

A*B= (4y-8 3x-3)

1-) (4×2)+(3×y)= 3y+8

2-) (4×x)+(3×(-1))= 4x-3

AB=C

(3y+8 4x-3)=(5 1)

So

3y+8=5 ; y= -3/3 = -1

4x-3=1 ; x=4/4 =1

Answer:

132,000 millimeters squared, H= 105, R= 20

Step-by-step explanation:

Volume equation (r= radius, h = height)

v= (pie)x r^2 x h

Pie = 22/7

r = 1/2 the diameter, so 40/2= 20. r = 20

h = 105

Substitute

(22/7) x 20^2 x 105

20^2 = 400

(22/7) x 400 x 105 = 132,000

Answer:

First, plot the y-intercept. The y-intercept is 1, so plot the point (0,1).

Then go up 2 points and to the right 3 points and plot a point there. (3,3)

We go to the right because the slope is positive.

Draw a line through the two points.

Step-by-step explanation:

y = mx+b

m = slope

b = y-intercept

Answer:

V=37.68

Step-by-step explanation:

The formula for the volume of a cone is V=1/3πr^2h.  First, plug the values in to the varibles to get V=1/3π3^2(4), since 3 is the radius and 4 is the height.  Now simplify the equation.  

V=1/3π3^2(4)

V=1/3π9(4)

V=1/3π36

Multiply 36 by pi, which the equation wants you to use as 3.14.  

V=1/3(113.04)

Now simplify to get V=37.68.

I hope this helps!  Have a great day/night!  

Answer:

∠AEC ≅ ∠BED by vertical angles theorem

Answer:

Answer:

∠AEC ≅ ∠BED by vertical angles theorem

Step-by-step explanation:

Answer:

based on the statements, here are the ones I would select as true

Step-by-step explanation:

You cannot compare the value of rational and irrational numbers, The closer together the numbers being compared, the more decimal places you need to use

The area of the regular nonagon is 1,582.5 ft².

The area of the nonagon is calculated by applying the following formula as shown below;

A = (9/4) a² (cos 20/sin 20)

where;

The given length of the nonagon = 16 ft.

The area of the nonagon is calculated as follows;

A = (9/4) a² (cos 20/sin 20)

A = (9/4) (16)² (cos 20/sin 20)

A = 1,582.5 ft²

Thus, the area of the regular nonagon is calculated by applying the formula given.

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The velocity of the top of the ladder is 20.62 feet per second.

We can use the Pythagorean theorem to relate the distance between the wall and the base of the ladder to the height of the ladder. Let h be the height of the ladder, then we have:

h² + 7² = 25²

h² = 576

h = 24 feet

We can then use the chain rule to find the velocity of the top of the ladder. Let v be the velocity of the base of the ladder, then we have:

h² + (dx/dt)² = 25²

2h (dh/dt) + 2(dx/dt)(d²x/dt²) = 0

Simplifying and plugging in h = 24 and dx/dt = -2, we get:

(24)(dh/dt) - 2(d²x/dt²) = 0

Solving for (d²x/dt²), we get:

(d²x/dt²) = (12)(dh/dt)

We can find (dh/dt) using the Pythagorean theorem and the fact that the ladder is sliding down the wall at a rate of 2 feet per second:

h² + (dx/dt)² = 25²

2h(dh/dt) + 2(dx/dt)(d²x/dt²) = 0

Substituting h = 24, dx/dt = -2, and solving for (dh/dt), we get:

(dh/dt) = -15/8

Finally, we can find (d²x/dt²) by plugging in (dh/dt) and solving:

(d²x/dt²) = (12)(dh/dt) = (12)(-15/8) = -45/2

Therefore, the velocity of the top of the ladder is 20.62 feet per second.

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Answer:

No

Step-by-step explanation:

A function requires that one point in the domain corresponds with exactly one value in the codomain. In other words, one x-value should only correspond to one y-value. Seeing the graph, each x-value has two y-values (one on the top half of the circle, another on the bottom), and thus is not a function.

A simple intuitive way to see if a relation is a function is to use the vertical line test: If a vertical line intersects the relation more than once, it's not a function.

Answer:

\(\dfrac{15}{6}\)

Step-by-step explanation:

3 can be represented as \(\dfrac{3}{1}\) because any number divided by 1 is itself.

Therefore,

\(\dfrac{5}{6} \times 3\)

can be written as:

\(\dfrac{5}{6} \times \dfrac{3}{1}\)

To multiply these fractions, simply multiply their numerators and their denominators.

\(\dfrac{5 \times 3}{6 \times 1}\)

\(\dfrac{15}{6}\)