Two angle of a tranigle measure 55 and 20 what is the measure of the third angle

Answer:

True very true

Step-by-step explanation:

Answer:

40 mi

Step-by-step explanation:

a² + b² = c²

24² + 32² = c²

1600 = c²

√1600 = c

c = 40

In arithmetic progression, 9,15,21,27,33,39 is a₅ and    a₆ .

What is arithmetic progression?

a₁ = 9

a₂ = 15

a₃ = 21

Notice that a₂ - a₁ = 6 and a₃ - a₂ = 6

We can deduce that aₙ₊₁ = aₙ + 6

We can test this on the 4th term : a₄ should equal  21  + 6 = 27

Since this checks out we can say that the sequence is an arithmetic progression with a common difference of 6.

a₅ = 27 + 5 = 33

and

  a₆ = 33 + 6 = 39

7,0,-7,-14

find the common difference by substracting any term in the sequence from the term that comes after it.

 a₂ - a₁  = 0 - 7 = -7

 a₃ - a₂ = -7 - 0 = -7

 a₄ - a₃ = -14 - -7 = -7

the difference of the sequence is constant and equals the difference between two consecutive terms.

  d = -7

Learn more about arithmetic progression

brainly.com/question/11634518

#SPJ13

Answer:60°

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....

Answer:

A.

60°

Hope its right.

Step-by-step explanation:

The resulting matrix after the row operation is given as follows:

\(\left[\begin{array}{ccc}-6&1&-8\\2&9&7\\-7&5&2\\2&8&-8\end{array}\right]\)

The matrix in the context of this problem is defined as follows:

\(\left[\begin{array}{ccc}-6&1&-8\\-7&5&2\\2&9&7\\2&8&-8\end{array}\right]\)

The row operation is given as follows:

R2 <-> R3.

Meaning that we must exchange the elements on the rows 2 and 3.

The rows of the matrix are given as follows:

Exchanging the rows, the resulting matrix is given as follows:

\(\left[\begin{array}{ccc}-6&1&-8\\2&9&7\\-7&5&2\\2&8&-8\end{array}\right]\)

More can be learned about operations with matrices at brainly.com/question/16901354

#SPJ1

Answer: 525

Step-by-step explanation:

3 km =30 hm

35hm*15=525

Answer:

\(\huge\boxed{\sf \frac{2\sqrt{7}-4 }{3}}\)

Step-by-step explanation:

This is a rationalizing denominator question.

\(= \displaystyle \frac{2}{2+\sqrt{7} } \\\\Multiply \ and \ divide \ by \ conjugate \ 2 - \sqrt{7} \\\\= \frac{2}{2+\sqrt{7} } \times \frac{2-\sqrt{7} }{2-\sqrt{7} } \\\\\underline{\sf Using \ formula:}(a+b)(a-b)=a^2-b^2\\\\= \frac{2(2-\sqrt{7}) }{(2)^2-(\sqrt{7})^2 } \\\\= \frac{4-2\sqrt{7} }{4-7} \\\\= \frac{4-2\sqrt{7} }{-3} \\\\= \frac{-(4-2\sqrt{7}) }{3} \\\\= \frac{2\sqrt{7}-4 }{3} \\\\\rule[225]{225}{2}\)

The mean value is 1.19

x           p(x)        x*p(x)        X^2p(x)
1           0.1            0.1               0.1
2           0.15         0.3               0.6
3           0.4          1.2                3.6
4          0.25          1                   4
5           0.1           0.5               2.5
Sum        1            3.1                 10.8

Mean =Σx * p(x)

u=3.1

Variance=σ^2

=Σx*p(x)-u^2

=10.8-(3.1)^2 =1 .19    

A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.

The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:


To learn more about probability distribution
https://brainly.com/question/14210034
#SPJ4

Given:

Solve:

In number line 0.26 lies in between 0 to 1.

solve simultaneously

Step-by-step explanation:

make one of the equations x subject of the formula and the other equation y subject of the formula

y=8+2/5x....1

x=-5/3 + 2/3y.....2

substitute equation 1 into equation 2

x=5

y=10

Answer:

Step-by-step explanation:

The sum of exterior angles in a quadrilateral is always 360 degrees.

So, 2x+x+4x+3x=10x=360

Soling for x, we get x=36 degrees.

Answer:

15.99

Step-by-step explanation:

5.33+5.33+5.33

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

Learn more on functions : https://brainly.com/question/12634120

#SPJ1

Answer:

Step-by-step explanation:

We need to find the value (f-g)(2), so we need first to substitute 2 into the given functions f(x) and g(x) and then subtract the result of g(2) from f(2).

Here, f(x) = 3x^2 + 1 and g(x) = 1 - x,

So, We will substitute 2 into these functions:

f(2) = 3(2)^2 + 1 = 3(4) + 1 = 12 + 1 = 13

g(2) = 1 - 2 = -1

Now, we can subtract g(2) from f(2):

(f-g)(2) = f(2) - g(2) = 13 - (-1) = 13 + 1 = 14

Hence, the required value of (f-g)(2) is 14.

Answer:

The correct answer is 3. To solve for g(-2), we substitute -2 for x in the equation g(x) = 2x + 5. This gives us g(-2) = 2(-2) + 5, which simplifies to -4 + 5 = 1. Next, we substitute the value of g(-2) into the equation for f(g(x)) = 4 - x^2. Thus, f(g(-2)) = 4 - (1)^2, which equals 4 - 1 = 3.

Answer:

y = 3x + 3 is the answer tour welcome

Answer:

y= 3x + 1

Step-by-step explanation:

For Plato

Answer:

\( \frac{9x { }^{2 } - 63x}{ 3x} \\ = \frac{3x(3x - 21)}{3x} \\ = 3x - 21 \)

hope it helps:)

Answer:3x-21

Step-by-step explanation:

\(\frac{9x^{2} - 63x }{3x}\) ⇒ \(\frac{3x * (3x - 21) }{3x}\) ⇒ cancel out 3x ⇒ 3x - 21

The equation of the lines are given by the points on the line from which

the slope and y-intercept are determined.

Responses;

1. y = -6·x - 23

2. \(\underline{y= \frac{4}{3} \cdot x + \frac{2}{3}}\)

3. \(\underline{y = 9 - \dfrac{x}{2}}\)

4. y = 9 - x

5. a) \(\underline{V = 30 - \dfrac{1}{21} \times D}\)

b) 315 miles

6. a) \(\underline{D = 2 + \dfrac{3}{4} \cdot n}\)

b) Mikayla will not be ready for the marathon in 12 weeks

1.  Slope = -6, passes through (-4, 1)

The point and slope form is; y - 1 = -6·(x - (-4))

Which gives;

y = -6·(x - (-4)) + 1 = -6·x - 24 + 1 = -6·x - 23

2. Slope = \(\frac{4}{3}\); passes through (-5, -6)

The point and slope form is therefore;

y + 6 = \(\mathbf{\frac{4}{3}}\)·(x + 5)

y = \(\frac{4}{3}\)·(x + 5) - 6 = \(\frac{4}{3} \cdot x + \frac{20}{3} - 6 = \mathbf{\frac{4}{3} \cdot x + \frac{2}{3}}\)

Which gives;

3. Points on the line are; (-4, 11) and (2, 8)

\(Slope = \dfrac{8 - 11}{2 - (-4)} = \dfrac{-3}{6} = -\dfrac{1}{2}\)

The equation is therefore;

\(y - 8 = -\dfrac{1}{2} \cdot (x - 2) = 1 - \dfrac{x}{2}\)

\(y = 1 - \dfrac{x}{2} + 8 = \mathbf{9 - \dfrac{x}{2}}\)

4. The points are; (6, 3), (14, -5)

\(Slope = \dfrac{-5 - 3}{14 - 6} =-1\)

Equation: y - 3 = -1·(x - 6)

y = 6 - x + 3 = 9 - x

5) Volume of gas tank = 30 gallon

Distance Troy's truck gets per gallon = 21 miles

a) The equation representing the amount of gas in in Troy's truck, V, is

presented as a linear equation as follows;

The slope of the equation is the number of gallons per mile = \(-\frac{1 \, gallon}{21 \, mile}\)

The slope is negative given that the gas in the tank is reducing.

The y-intercept is the amount of gas initially in the tank = 30 gallons

b) Given that the tank is half full, we have;

Volume of gas in the tank = \(\dfrac{30 \, gallons}{2}\) = 15 gallons

Which gives;

\(15 = \mathbf{ 30 - \dfrac{1}{21} \times D}\)

Therefore;

D = 315

6. a) The initial distance Mikayla is able to run = 2 miles

The distance by which the distance is increased each week = Three-quarters of a mile.

The equation is therefore;

Where;

D = The distance Mikayla runs

n = Number of weeks

b) The distance of the half marathon = 13.1 miles

Time at which the marathon takes place = In 12 weeks time

The distance Mikayla will be able to run in 12 weeks is given by

plugging in 12 in the given equation as follows;

\(D = 2 + \dfrac{3}{4} \times 12 = \mathbf{ 11}\)

Learn more about linear equations here:

https://brainly.com/question/14017519

The Direction Angle Of The Given Vector is θ = 59.086

Given :

The Direction Angle Of The Given Vector. V <-3,5) Give Your Answer In Degrees In The Interval [0°, 360°). round to the nearest hundredth (2 decimal places). give just the number without the degree symbol.

what is Direction angle of vector ?

The direction angle of a vector v is the angle from the positive x -axis to v .using the arc tangent of the ratio of the vertical component of the vector and the horizontal component of the vector.

tan θ = b / a

= 5 / -3

= -5 / 3

= 1.67

θ = tan^-1 ( 1.67 )

θ = 59.086

Learn more about the angle here:

https://brainly.com/question/28451077

#SPJ4

The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

for such more questions on parabola

https://brainly.com/question/29635857

#SPJ8

The  explicit formula for the arithmetic sequence is -20n + 30

The nth rule of an arithmetic sequence is expressed according to the equation below;

Tn = a+(n-1)d

where

a is the first term = 10

d is the common difference = -10-10  = -20

Substitute

Tn = 10 + (n-1)(-20)

Tn = 10+(-20n+20)
Tn = 10 - 20n +20
tn = -20n + 30

Hence the  explicit formula for the arithmetic sequence is -20n + 30

Learn more on arithmetic sequence here: https://brainly.com/question/6561461

#SPJ1

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

21 1/2 Feet

Step-by-step explanation:

Change 2 yards into feet.  2 yards will be 6 feet.

The perimeter will be

6 + 6 + 4 3/4 + 4 3/4

12 + 8 6/4  Which is the same as

12 + 8 + 4/4 + 2/4  I broke 6/4 up into 4/4 and 2/4 because another name of 4/4 is 1

12 + 8 + 1 + 2/4

21 2/4  2/4 can be simplified to 1/2

21 1/2 feet

Helping in the name of Jesus.

The exact value of \(cos(\frac{11\pi }{8} )\) is \(-\sqrt{\frac{2+\sqrt{2} }{4} }\).

The exact values of trigonometric functions are values of trigonometric functions of certain angles that can be expressed exactly using expressions containing real numbers and roots of real numbers. These values are also called analytic values of trigonometric functions or trigonometric values of special angles.

The trigonometric functions are also called the angle functions, which relates the angles and the ratios of the sides of a right angle triangle.

According to the given question.

We have a trigonometric function

\(cos(\frac{11\pi }{8} )\)

We have to find the exact value of the above trigonometric function.

since,

\(\frac{11\pi }{8}\) can be written as \((\pi +\frac{3}{8\pi } )\)

\(\implies cos(\frac{11\pi }{8} ) = cos(\pi +\frac{3}{8}\pi )\)

And we know that,

Cos(π + θ) = -cosθ

Because, π + θ lies in third quadrant and in third quadrat cos gives negative values.

Also,

\(cos\frac{\alpha }{2} = \pm\sqrt{\frac{1+cos\alpha }{2} }\)        ....(i)

Therefore,

\(cos(\pi +\frac{3}{8} \pi )\)

\(= -cos(\frac{3}{8} \pi )\)

\(= -cos(\frac{3}{2(4)} \pi )\)

\(= -\sqrt{\frac{1+cos\frac{\pi }{4} }{2} }\)

\(= -\sqrt{\frac{1+\frac{1}{\sqrt{2} } }{2} }\)

\(= -\sqrt{\frac{1+\frac{\sqrt{2} }{2} }{2} }\)

\(= -\sqrt{\frac{2+\sqrt{2} }{4} }\)

Hence, the exact value of \(cos(\frac{11\pi }{8} )\) is \(-\sqrt{\frac{2+\sqrt{2} }{4} }\).

Thus, option A is correct.

Find out more information about exact value of trigonometric function here:

https://brainly.com/question/19552534

#SPJ2

Answer:

Angle 1 is congruent to the angle that is supplementary to angle 2. Angle 2 is also congruent to angle 3 due to the Corresponding angles theorem. Since angle 2 is supplementary to angle 1 and angle 3 is congruent to angle 2. This shows that angle 1 and angle 3 are supplementary.

Step-by-step explanation:

Answer:

I can't see it that wel..?m

Answer:

Is this your hw

Step-by-step explanation:

The ratio of EG = 36.

Let's assign variables to the lengths of the line segments:

EF = x

FG = 5x

GH = 3x

We know that EH = EF + FG + GH.

Substituting the given values, we have:

54 = x + 5x + 3x

Combining like terms, we get:

54 = 9x

To isolate x, we divide both sides of the equation by 9:

54/9 = x

Simplifying, we find:

6 = x

EF = 6, FG = 5(6) = 30, and GH = 3(6) = 18.

Since EG is the sum of EF and FG, we can calculate it as follows:

EG = EF + FG = 6 + 30

= 36

EG = 36.

For similar questions on ratio

https://brainly.com/question/12024093

#SPJ11

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

For more such question on Quadrilateral. visit :

https://brainly.com/question/23935806

#SPJ8

\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)