Find the measure of angle a

Step-by-step explanation:

Explanation:

The trick is to know about the basic idea of sequences and series and also knowing how i cycles.

The powers of i will result in either: i, −1, −i, or 1.

We can regroup i+i2+i3+⋯+i258+i259 into these categories.

We know that i=i5=i9 and so on. The same goes for the other powers of i.

So:

i+i2+i3+⋯+i258+i259

=(i+i5+⋯+i257)+(i2+i6+⋯+i258)+(i3+i7+⋯+i259)+(i4+i8+⋯+i256)

We know that within each of these groups, every term is the same, so we are just counting how much of these are repeating.

=65(i)+65(i2)+65(i3)+64(i4)

From here on out, it's pretty simple. You just evaluate the expression:

=65(i)+65(−1)+65(−i)+64(1)

=65i−65−65i+64

=−65+64

=−1

So,

i+i2+i3+⋯+i258+i259=-1

Here it's given that ∆ABC is a isosceles triangle. We know that in a isosceles triangle opposite angles are equal. And the angles opposite to equal sides are also equal.

Hence here ,

Figure :-

[tex] \setlength{\unitlength}{1 cm}\begin{picture}(12,12)\put(0,0){\line(1,0){4}}\put(4,0){\line(-1,2){2}}\put(0,0.001){\line(1,2){2}}\put(0,0.01){\line(1,1){2}}\put(3.99,0){\line(-1,1){2}}\put(0,-0.3){$\bf B $}\put(4,-0.3){$\bf C$}\put(2,4.2){$\bf A$}

\put(1.8,2.2){$\bf o$}\end{picture}[/tex]

If LaTeX doesn't work on app kindly see the attachment .

Here we will use a theorem which is ,

[tex]\large\underline{\underline{\textsf{\textbf{\red{\blue{$\leadsto$} Theorem :- }}}}}[/tex]

Hence here,

[tex]\tt:\implies \angle ABC =\angle ACB \\\\\tt:\implies \dfrac{1}{2}\times \angle ABC = \dfrac{1}{2}\times \angle ACB \\\\\tt:\implies \boxed{\bf \blue{\angle OBC = \angle OCB} }[/tex]

Now in ∆OBC , we can see that ∠OBC = ∠OCB. (just proved ) . Hence we can say that sides OB and OC are equal. Since the sides opposite to equal angles are equal. Therefore in ∆OBC , two sides are equal.

Therefore ∆ OBC is an isosceles triangle.

Answer:

See Below.

Step-by-step explanation:

We are given the isosceles triangle ΔABC. By the definition of isosceles triangles, this means that ∠ABC = ∠ACB.

Segments BO and CO bisects ∠ABC and ∠ACB.

And we want to prove that ΔBOC is an isosceles triangle.

Since BO and CO are the angle bisectors of ∠ABC and ∠ACB, respectively, it means that ∠ABO = ∠CBO and ∠ACO = ∠BCO.

And since ∠ABC = ∠ACB, this implies that:

∠ABO = ∠CBO =∠ACO = ∠BCO.

This is shown in the figure as each angle having only one tick mark, meaning that they are congruent.

So, we know that:

[tex]\angle ABC=\angle ACB[/tex]

∠ABC is the sum of the angles ∠ABO and ∠CBO. Likewise, ∠ACB is the sum of the angles ∠ACO and ∠BCO. Hence:

[tex]\angle ABO+\angle CBO =\angle ACO+\angle BCO[/tex]

Since ∠ABO =∠ACO, by substitution:

[tex]\angle ABO+\angle CBO =\angle ABO+\angle BCO[/tex]

Subtracting ∠ABO from both sides produces:

[tex]\angle CBO=\angle BCO[/tex]

So, we've proven that the two angles are congruent, thereby proving that ΔBOC is indeed an isosceles triangle.

Answer: i don’t know

Step-by-step explanation:

Answer:

kklkjdflkjsdlkfskldjfdlkjf

Step-by-step explanation:

kljoj;klkjlslkdfjlksdjkldjflzkj

Answer:

Options A and B are polynomial of the fourth degree

Step-by-step explanation:

In this problem, option

A. 3x2y + 5x3y + 6y4

Is a Polynomial of the fourth degree because of the 6y⁴ term which is the highest degree

Also the option

B. 6y4 + 5x3 + 1 has a 6y⁴ term which indicates that the polynomial is a fourth degree polynomial

What is the degree of a polynomial?

In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer

Hey there!

The perimeter of the floor plan is 30 inches.

Perimeter is length + length + width + width, so we can do 9 + 9 + 6 + 6 = 30

The area of the floor plan is 54 inches²

Area is length x width, so we can do 9 x 6 = 54

The perimeter of the actual size is 105 feet

First, we can solve the dimensions for the actual size. We know that 2 inches = 7 feet, so we can do 7/2 and get 3.5. This means that for every 1 inch, it's 3.5 feet. Then, we multiply the dimensions by 3.5:

9 x 3.5 = 31.5 feet

6 x 3.5 = 21 feet

Then we solve for perimeter. Perimeter is length + length + width + width, so we can do 31.5 + 31.5 + 21 + 21 = 105

The area of the actual size is 661.5 inches²

Area is length x width, so we can do 31.5 x 21 = 661.5

Hope this helps! Tell me if you need more help.

Answer:

[tex] m\angle GET = 67\degree [/tex]

Step-by-step explanation:

[tex] m\angle GET = \frac{1}{2} \times \bigg(m\widehat {TN} - m\widehat {TG} \bigg) [/tex]

[tex] m\angle GET = \frac{1}{2} \times \bigg(180\degree - 46\degree \bigg) [/tex]

[tex] m\angle GET = \frac{1}{2} \times \bigg(134\degree \bigg) [/tex]

[tex] m\angle GET = 67\degree [/tex]

Answer: 55°

Step-by-step explanation:

∠YAZ + ∠YAX = 180° because they are linear pairs

∠YAZ + ∠YAX = 180°

∠YAZ + 125 = 180

Subtract both sides by 125

∠YAZ = 55°

Hope that helped!

Answer: D. 112°

Step-by-step explanation: Just answered it...

The measure of arc AC, if The line segment AB and BC are the tangents drawn to the circle, and The measure of angle CBA, ∠ CBA = 68°, is 112°, so option D is correct.

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The line segment AB and BC are the tangents drawn to the circle,

The measure of angle CBA, ∠ CBA = 68°,

The measure of the major arc, AC = 248°,

Calculate the measure of the minor arc as shown below,

∠ CBA = Major arc - minor arc / 2   (Tangent circle theorem)

68 = 248 - AC / 2

68  × 2 = 248 - AC
136 = 248 - AC

AC = 248 - 136

AC = 112°

Thus, the measure of arc AC is 112°

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Answer: D

Step-by-step explanation:

The 45°-45°-90° right triangle is also sometimes referred as an isosceles right triangle because it has two equal side lengths and two equal angles.

If my answer was helpful then please mark me brainliest.

Answer:

a = -4

b = 3

c = -10

d = -6

Step-by-step explanation:

Plug each value into the equation and solve.

[tex]a = 3(0)-4\\a=-4[/tex]

[tex]5=3b-4\\9=3b\\b=3[/tex]

[tex]c=3(-2)-4\\c=-6-4\\c=-10[/tex]

[tex]-22=3d-4\\-18=3d\\d=-6[/tex]

Answer:

$17

Step-by-step explanation:

This is simply stated as a function.

We can rewrite this problem out as --> f(d) = -d + 42

If we simply say that he spent d, the problem states that d is equivalent to 25.

So the function looks like this --> f(d) = -25 + 42

Therefore your answer becomes --> f(d) = 17

Answer:

Factor −6x+30

−6x+30

=6(−x+5)

Step-by-step explanation:

That's all there is

Answer:

5(9+x)

Step-by-step explanation:

5 x 9 = 45

then if do 5 times x it would look like 5x

Answer:

y = -3/1x + 2

Step-by-step explanation:

1. Find the slope

The points I will use are (-1,5) and (0,2), where x1 = -1, y1 = 5, x2 =0, and y2 =2.

y2-y1/x2-x1

2-5/0-(-1) = -3/1

2. Find the y-intercepy

y = mx + b

You can use any x or y point. I'll use (-1,5)

m= slope, which is -3/1

5= -3/1(-1) +b

5= 3 + b

Subtract 3 from 5 and 3 to get 2=b.

3. Rewrite in slope-intercept form

y = -3/1x + 2

Answer:

6 mi

Step-by-step explanation:

I think so it 6mi I need help

Answer: b = 8

Step-by-step explanation: You have to divide (-4) on both sides and -32/-4= 8 so b =8

Answer:

Step-by-step explanation:

-32=4b

divide -4 by both sides

-4/-4=1

-32/-4=8

therefore, b=8

Answer:

2 meter under water

first one

Answer:

The first one, 2 meters.

Step-by-step explanation: 5 meters-3 meters = 2 meters.

Answer:

y =  4/3x + 4

Step-by-step explanation:

Answer:  Brian gets $39.2 more over Colin.

Step-by-step explanation:

Given: Total tip amount = £78.40

The ratio of the share of tips for Pawl, Colin and Bria  is 2:1 :5.

Let tip amount for Pawl = 2x, tip amount for Colin = x , tip amount for Bria = 5x

Then, 2x+x+5x= 78.40

[tex]\Rightarrow\ 8x = 78.40\\\\\Rightarrow x=\dfrac{78.40}{8 }\\\\\Rightarrow x=9.8[/tex]

Tip for Colin = $ 9.8 , Tip for Bria = 5($9.8)= $49

Difference = $(49-9.8) = $ 39.2

Hence, Brian gets $39.2 more over Colin.

Answer: Yes the two expressions are equal because 8 times 1 is 8

8 = 8

Step-by-step explanation: hope this helps

1

ok that ok dffhbgufuodwrebygfshdhrfgtbhjdufyhg t

Answer:

A

Step-by-step explanation:

The equation 480t = 1200 can be used to find the number of hours an aircraft takes to reach a destination that is 1200 miles away.

The correct answer is option (C) 480t = 1200.

"An equation is a mathematical statement that is made up of two expressions connected by an equal sign."

speed = distance / time

For given question,

An aircraft flies at a speed of 480 miles per hour and takes t hours to reach its destination.

Let d represents the distance(in miles) traveled by an aircraft in t hours with a speed of 480 miles per hour.

By using the formula of speed,

⇒ 480 = d/t

When destination is 1200 miles away.

This means d = 1200 miles.

⇒ 480 = 1200/t

⇒ 480t = 1200                      .....................(Multiplying both the sides by t)

This equation can be used to find the number of hours it takes the aircraft to reach a destination that is 1200 miles away.

Therefore, option (C) is the correct answer.

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Answer:

Step-by-step explanation:

10. He left at 6:45 and arrived at 7: 35. The time between 6:45 and 7:00 is 15 minutes and the time between 7:00 and 7:35 is 35 minutes. 15 + 35 is 50.

The answer is that it took Noah 15 minutes.

11. Right now the time on the clock is 8:00.  In 3 hours it will be 11:00. In 35 minutes it will be 11:35.

The answer for number 11 is 11:35.

12. The time on the clock is 5:45

Answer:

Let b=x

Such that b^2 =8b-8 will x^2=8x-8

Using the almighty quadratic formula

x1={-b+sqrt (b^2-4ac)}/2a

x2={-b-sqrt (b^2-4ac)}/2a

From the question

a=1

b=8

c=-8

x1={-8+sqrt (8^2-4(-8))}/2

x1=(-8+5.66)/2

x1=-1.17

x2={-8-sqrt (8^2-4(-8))}/2

x2=(-8-5.66)/2

x2=-6.83

:.(x1,x2)=(-1.17,-6.83)

Step-by-step explanation:

Answer:

The range of the graph is:

-∞ <  y < 2

Hence, option C is correct.

Step-by-step explanation:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

From the given graph, we can easily observe the vertical extent of the graph is all range values  between -∞ and 2.

In other words,

The range of the function lies in the interval: ( -∞, 2)

Therefore, the range of the graph is:

-∞ <  y < 2

Hence, option C is correct.

Step-by-step explanation:

The selling price is $495.

The first washing machine:

- is marked down by 30​%

$495 - 100%

$x - 100% - 30% = 70%

Find the value of x:

x=$495*0.7=$346.50=$347

The second washing machine:

- is marked down by 20​% with an additional 10​% off

$495 - 100%

$y - 100% - 20% = 80%

Find y:

Y=$495*0.8=$396

Now,

$396 - 100%

$z - 100% - 10% = 90%

Find z:

Z=$396*0.9=$356.40=$356

the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.

Answer:

The sale price of the first washing machine is $308

The sale price of the second washing machine is $317