what is the measure of angle A

What Is The Measure Of Angle A

Answers

Answer 1

Answer:

a = 53

Step-by-step explanation:

Start with d

The ends of d + 53 are diameter ends. That means that d + 53 is a right angle

d + 53 = 90

d = 90 - 53

d = 37

Next, find b. The end points of b are the same end points as for 53 degrees. B is the central angle of 53 which means b = 2 * 53

b = 106

c is the supplement of b

c + b = 180

b = 106

c + 106 = 180

c = 180 - 106

c = 74

The triangle containing a and c is isosceles because 2 of the 3 angles are opposite radii. The lowest angle is also a because it is opposite one of the radii.

a + a + 74 = 180

2a = 180 - 74

2a = 106

a = 106/2

a = 53

Hard to believe, but there it is.


Related Questions

The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the negative reciprocal of the slope of the first.


The system described above is represented by the following equations:

Answers

Answer:

Hello,

First equation is false

Second equation is true

Step-by-step explanation:

1)

(4,-3) is a point of the line y=4x-19  since

-3=?4*4-19

-3=-3

2)

(4,-3) is not a point of the line y=1/4x-2 since

-3=? 1/4*4-2

-3=? 1-2

-3≠-1

I have written that because it is difficult for me to understand

"the negative reciprocal of the slope of the first"

the negative reciprocal of 4 should be -1/4.

Equation y=1/4x-2 is false.

Find the length of BW

Answers

Answer:

[tex]BW \approx 132.589[/tex]

Step-by-step explanation:

The given triangle (BWS) is a right triangle. This is indicated by the box around one of its angles, signifying that it is a right angle. One property of a right triangle is the right angle trigonometric ratios. These are a set of ratios that can be used to describe the relationship between the sides and angles in a triangle. These ratios are as follows:

[tex]sin(\theta) = \frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Please note that the (opposite) and (adjacent) sides are subjective, the sides that are named these terms depend on the angle of reference. However the term (hypotenuse) refers to the sides opposite the right angle of a right triangle, this term is the same no matter the angle used in the ratio.

In this case, one is given the length of the side (SB) and the measure of angle (<W), one is asked to find the length of the side (BW). The best ratio to use in this case is the ratio tangent (tan).

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Substitute,

[tex]tan(9)=\frac{21}{adjacent}[/tex]

Inverse operations,

[tex]tan(9)=\frac{21}{adjacent}[/tex]

[tex]adjacent=\frac{21}{(tan(9))}[/tex]

[tex]adjacent\approx132.688782[/tex]

[tex]BW \approx 132.589[/tex]

A survey asked 60 students if they play an instrument and if they are in band.
1.35 students play an instrument.
2. 30 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency table?

Answers

Answer:  Choice A

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

Explanation:

The table headers will look like choice A or choice C. Notice that we have simple yes or no questions along either the row or column labels; also, the labels are consistent. Choice B can be ruled out because the labels aren't consistent (or don't match up). Choice D is overcomplicated so it can be ruled out also.

We're told that 35 students play an instrument. That means 35 goes at the end of the "plays instrument" row, in the "total" column.

This is enough to see that choice A is the final answer

Furthermore, 30 students are in a band. So we have "30" at the bottom of the "band" column, and in the "total" row. The same applies to the 30 people not in band.

A (I used process of elimination)

B is incorrect it says the total # of people not in a band is 35 but the description says only 30 aren’t in a band

C is incorrect because it says the total # of people that play an instrument is 30 but the description says 35 students play an instrument

D is incorrect because the way the graph is set up doesn’t make sense (ex. How can someone qualify for “not being in band but play an instrument” but also qualify for “in band and play instrument”

Solve the following for the value of the pro-numeral:
(c - 7) / 2 = -5

Answers

Answer:

[tex] \frac{(c - 7)}{2} = - 5 \\ c - 7 = - 5 \times 2 \\ c - 7 = - 10 \\ c = - 10 + 7 \\ c = - 3[/tex]

I hope I helped you^_^

Find the missing segment in the image below

Answers

Answer:

10/2=15/?

Step-by-step explanation:

I can help you to your all question but it need time. I have to write short.

?=3

SIN TRIG PLEASE HELP 50 POINTS
If sin y° = s/8 and tan y° = s/t what is the value of sec y°
a. sec y° = 8s
b. sec y° = 8t
c. sec y° = 8/t
d. sec y° = t/8

Answers

Answer:

C

Step-by-step explanation:

We are given that:

[tex]\displaystyle \sin y^\circ = \frac{s}{8}\text{ and } \tan y^\circ = \frac{s}{t}[/tex]

And we want to find the value of:

[tex]\displaystyle \sec y^\circ[/tex]

Recall that tan(θ) = sin(θ) / cos(θ). Since sec(θ) = 1 / cos(θ), tan(θ) = sin(θ)sec(θ). Substitute:

[tex]\displaystyle \sin y^\circ \sec y^\circ = \frac{s}{t}[/tex]

Substitute:

[tex]\displaystyle \frac{s}{8}\sec y^\circ =\frac{s}{t}[/tex]

Solve for secant:

[tex]\displaystyle \sec y^\circ = \frac{8}{t}[/tex]

Hence, our answer is C.

Answer:

c. sec y° = 8/t

Step-by-step explanation:

I took the test

Evaluate f-g+(-2) where f = -3.005 and g = 4.7

Answers

Answer:

-9.705

Step-by-step explanation:

f-g+(-2)

Let  f = -3.005 and g = 4.7

-3.005 -4.7 -2

-9.705

HEEEEEEEEEEEEEEEEEEELP

Answers

Answer:

2 miles per hour

Step-by-step explanation:

To find her walking pace in 'miles per hour' we need to divide the distance (in miles) by the time (in hours).

Speed = Distance/ Time

The time is given in minutes , but 50 minutes = 50/60 hours

=5/6 hours

1 2/3 ÷ 5/6

=5/3 × 6/5 miles per hour

Now cut it

= 2 miles per hour

in a right triangle the two sides are 10 and 5. find all possible values for the third side.
hint: there are two possibilities

Answers

Answer:

1. about 11.18

2. about 8.66

Step-by-step explanation:

1. 5^2 + 10^2= 125

square root of 125 equals about 11.18

2. 10^2-5^2=75

square root of 75 equals about 8.66

A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 910 ft from the base of the mountain. Find the shortest length of cable needed.

Answers

Answer: [tex]4004.76\ ft[/tex]

Step-by-step explanation:

Given

inclination is [tex]\theta=75^{\circ}[/tex]

Mountain is [tex]h=3900\ ft[/tex] high

Cable is tied [tex]x=910\ ft[/tex] from the base of the mountain

From the figure, length of the shortest path is [tex]l[/tex]

It is given by using Pythagoras theorem

[tex]\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft[/tex]

Evaluate the expression when x=-6.
x^2-9x+4

Answers

Answer:

- 14

Step-by-step explanation:

x = - 6

x^2 - 9x + 4

= ( - 6 )^2 - 9 ( - 6 ) + 4

= 36 + 54 - 4

= 36 - 50

= - 14

Answer:

[tex]94[/tex]

Step-by-step explanation:

[tex]x^2 - 9x + 4[/tex]

[tex](−6 {)}^{2} −9 (−6) + 4[/tex]

[tex]36 − 9 (−6) + 4[/tex]

[tex]36 + 54 + 4[/tex]

[tex]90+4[/tex]

[tex]94[/tex]

Hope it is helpful....

Martas school has 325 desks for 13 classrooms . If the desks are shared evenly how many desks will each classroom have

Answers

Answer:

25

Step-by-step explanation:

Answer the question to get points

Answers

Answer:

4. E=4x-15(vertically opposite)

F=E(corresponding angles)

E=4x-15

5.3x+6x+O=180(angles on a straight line)

9x+0=180

9x=180-0

9x/9=180/9

x=20

If ? A² + b² = 7b and b² + (2b-a) ²= 7², what is (a - b) ²?

Answers

Answer:

7^2+2ab - 4b^2

Step-by-step explanation:

A² + b² = 7b

b² + (2b-a) ²= 7²

FOIL

b^2 +4b^2-4ba+a^2= 7^2

Rewriting

a^2 -2ab + b^2    +4b^2 -2ab = 7^2

Add 2ab and subtract 4b^2 from each side

a^2 -2ab + b^2    +4b^2 - 4b^2 -2ab+2ab = 7^2+2ab - 4b^2

a^2 -2ab + b^2    = 7^2+2ab - 4b^2

(a-b)^2 = 7^2+2ab - 4b^2

                   

"A parabola has the equation y=3x^2+ 6x- 12 . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way

Answers

enjoy it

it best answer for you

In 2010, 1 Canadian dollar cost .56 British pounds and in 2012 it cost .63 British pounds. How much would 1 British pound purchase in Canadian dollars in 2010 and 2012? 2010: 1.78 dollars, 2012: 1.57 dollars 2010: 1.79 dollars, 2012: 1.59 dollars 2010: 1.87 dollars, 2012: 1.65 dollars 2010: 1.97 dollars, 2012: 1.75 dollars

Answers

Answer:

2010: 1.79 dollars, 2012: 1.59 dollars

Step-by-step explanation:

In 2010,

1 Canadian dollar = .56 British pounds.

We want to find how many pounds go into a dollar, so we somehow have to make the equation equal to 1 pound. To do this, we can multiply the amount of pounds by its reciprocal to equal 1. To find the reciprocal of a number, we simply divide 1 by it. For .56, this is (1/.56). Therefore, we can multiply both sides by (1/.56) to get

1.79 Canadian dollars = 1 British pound

Similarly, for 2012, we have 1 dollar = .63 pounds. Multiplying both sides by 1/.63, we get

1.59 Canadian dollars = 1 British pound

Defenation of time, distance and speed​

Answers

Distance = Speed * Time, Speed = distance travelled in given time / given time

hi, please solve these three questions for me, i have to shoe solving steps.​

Answers

question 3

Step-by-step explanation:

i only able to show you the step of question 3..so sorry

The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:

a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?

Answers

Answer:

Step-by-step explanation:

enter the following in the cash book applying cgst and sgst at 6% each for all transactions relating to the sales and purchase of the products
pls pls pls pls pls help me ​

Answers

Answer:

10,000

Step-by-step explanation:

cuhcuhcuhcuhcuhcuhc

What is the total surface area of the square pyramid below?
14 cm
10 cm
10 cm
O 100 cm
O 200 cm
O 280 cm?
O 380 cm?
a

Answers

Answer:

D

Step-by-step explanation:

380

What is the simplest shape in Mathematics?

Answers

A point? I am not sure if ur talking about 2d or 3D

Please help me i don’t understand this question at all.

Answers

9514 1404 393

Answer:

  D.

Step-by-step explanation:

The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)

When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.

The only reasonable choice is D.

__

Your calculator can check this for you.

  √12/(√3 +3) ≈ 3.4641/(1.7321 +3)

  = 3.4641/4.7321 ≈ 0.7321 = -1 +√3

__

If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.

  [tex]\displaystyle\frac{\sqrt{12}}{\sqrt{3}+3}=\frac{\sqrt{12}}{(\sqrt{3}+3)}\cdot\frac{(\sqrt{3}-3)}{(\sqrt{3}-3)}=\frac{\sqrt{36}-3\sqrt{12}}{3-9}\\\\=\frac{6-3\cdot2\sqrt{3}}{-6}=\boxed{-1+\sqrt{3}}[/tex]

_____

Additional comment

We "rationalize the denominator" in this way to take advantage of the relation ...

  (a -b)(a +b) = a² -b²

Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.

We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).

11. Find out price elasticity of demand from the following table:
Price per unit()=8,10
Quantity Demanded (Units)=200,150​

Answers

Answer:

Price elasticity of demand = 1

Step-by-step explanation:

Old quantity demanded = 200

New quantity demanded = 150

Old price = 8

New price = 10

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

percentage change in quantity demanded = change in quantity demand / old demand × 100

= 50/200 × 100

= 0.25 × 100

= 25%

percentage change in price = change in price / old price × 100

= 2/8 × 100

= 0.25 × 100

= 25%

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

= 25% / 25%

= 1

Price elasticity of demand = 1

Find the area of this circle. Use 3 for .
A = r2
12 cm
[?] cm2

Answers

Answer:

452.16 cm²

Step-by-step explanation:

Given :-

Radius = 12cm .

To find :-

Area of circle .

Solution :-

As we know that ,

A = πr² A = 3.14 * (12 cm)² A = 3.14 * 144cm² A = 452.16 cm²

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ = \pi \times {12}^{2} \\ = \pi \times 144 \\ = 3.14 \times 144 \\ = 452.16 {cm}^{2} \\ thank \: you[/tex]

Can someone please exlpain how to do this???

Answers

Answer:

40. A c=60

41 B z= 40

Step-by-step explanation:

The sum of the angles in a triangle is 180

40.  61+59+c = 180

Combine like terms

120+c = 180

c = 180-120

c =60

41.  90+50+z = 180

140 +z = 180

z = 180-140

z = 40

Write the exponential function that passes through (-1, 27), (0, 9), (1, 3).​

Answers

Step-by-step explanation:

we see, for x=-1 we get 3³

x=0 we get 3²

x=1 we get 3¹

so the function is definitely a 3 to the power of x version.

but we need to adapt the exponent a bit and correct x, so that at least for these 3 values of x the result is "running backwards".

the easiest way : 2-x as exponent.

it fits.

for x=-1 we get 2 - -1 = 3 as exponent.

for x=0 we get 2-0 = 2 as exponent.

for x=1 we get 2-1 = 1 as exponent.

so, the exponential function passing through these 3 points is

[tex]f(x) = {3}^{2 - x} [/tex]

Kasonga's TV plan costs $59.99 per month plus $5.49 per first-run movie. How many first-run movies can he watch if he wants to keep his monthly bill to be a maximum of $100?

Answers

Answer:

7

Step-by-step explanation:

We can solve this problem by making an equation for the monthly bill. First, the cost is $59.99 per month, and that cannot be decreased, so we must add all costs to that amount. Next, it costs $5.49 per first run movie, so for each first run movie, we add $5.49 to the total. Therefore, we can write our equation as

59.99 + 5.49 per first run movie = monthly bill

Representing the number of first run movies as r, we can say

59.99 + 5.49 * r = monthly bill

Next, the monthly bill should be less than or equal to 100, so we can say

monthly bill ≤ 100

59.99 + 5.49 * r = monthly bill ≤ 100

Moreover, we want to maximize r, or the amount of first run movies. Because we add money to the monthly bill for each movie, to maximize r, we have to find the maximum money we can spend on the monthly bill that is still less than or equal to 100. To do this, we set the monthly bill to its maximum limit, or 100, so we have

59.99 + 5.49 * r = 100

subtract 59.99 from both sides to isolate the f and its coefficient

40.01 = 5.49 * r

divide both sides by 5.49 to isolate the variable

r ≈ 7.29

Since we can't buy .29 of a movie, and rounding up to 8 movies would cause us to go past 100 dollars, the maximum movies he can watch if he wants to keep his monthly bill ≤ 100  is 7

hello! HELP NEEEDED!!!!!!!!!!!

Answers

Answer:

$2.50

Step-by-step explanation:

Sally pays 2.5 lbs of chuck for 6.25. We need to convert this to 1 pound, to see how much money it take to equal 1 pound .

Set up proportion.

[tex] \frac{1}{x} = \frac{2.5}{6.25} [/tex]

[tex]2.5 x = 6.25[/tex]

[tex]x = 2.5[/tex]

it takes 2 dollar and 50 cents for 1 lb of ground chuck

Answer:

$2.50

Step-by-step explanation:

In my theory, I suppose that the key word to look at is "per"in the question above. All you need to do is to is to divide $6.25 with 2 1/2 lb

Given m||n, find the value of x.
t
(9x+23)
m
(10x+6)
an
Answer:
Submit Answer
attempt 1 out of 2
Pls help I’ve already got it wrong once

Answers

Answer:

x=17

Step-by-step explanation:

These are alternate interior angles and alternate interior angles are equal when the lines are parallel

9x+23= 10x+6

Subtract 9x from each side

9x+23 -9x= 10x-9x+6

23 = x+6

Subtract 6 from each side

23-6 = x+6-6

17 =x

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