In the diagram of a circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.

In The Diagram Of A Circle Shown Below, M AC = 89 And M BC = 153. Determine MACB.

Answers

Answer 1

Answer:

The measure of the angle ACB is 59°.

Step-by-step explanation:

Let be [tex]D[/tex] the location of the center of circle and [tex]r[/tex] is the radius of the figure, the triangles ACD and BCD are isosceles triangles, since [tex]AD = CD = BD = r[/tex]. And the measure of the angle C associated with each triangle are, respectively:

Triangle ACD

[tex]m\angle C = \frac{180^{\circ}-89^{\circ}}{2}[/tex]

[tex]m\angle C = 45.5^{\circ}[/tex]

Triangle BCD

[tex]m \angle C = \frac{180^{\circ}-153^{\circ}}{2}[/tex]

[tex]m\angle C = 13.5^{\circ}[/tex]

Lastly, the measure of the angle ACB is:

[tex]m\angle ACB = 45.5^{\circ} + 13.5^{\circ}[/tex]

[tex]m\angle ACB = 59^{\circ}[/tex]

The measure of the angle ACB is 59°.


Related Questions

Reduce £20 by 15%

:
:
:
:
:
:


Answers

Answer:

the new value is 17 and the absolute change is -3

Step-by-step explanation:

take 20 and subtract your percentage increase

20 - (15% × 20) =

20 - 15% × 20 =

(1 - 15%) × 20 =

(100% - 15%) × 20 =

85% × 20 =

85 ÷ 100 × 20 =

85 × 20 ÷ 100 =

1,700 ÷ 100 =

20 BRLAIFAST
NELS
PURCHASE
BAUNE OF
CUT CARD IN
COUPS
50
Jimmy was given a gift card to
his favorite breakfast restaurant.
What equation represents the
balance of the gift card in
dollars, y, when x amount of
breakfast meals are purchased?
35
20
6
5

Answers

Cono Bueno no entiendo

round to the nearest whole number than add 4.208 + 2.482



Answers

4.208 + 2.482= 6.69 so rounding that would be 7                                      

4.208 + 2.482 = 6.69

When we round it to the nearest, it becomes 7.

Hope it helps you..

which of the following is a convex polygon? ​

Answers

Answer:

option b is the correct answer

Step-by-step explanation:

in convex polygon, none of the interior angle is greater than 180deg.

what are the zeros of the function f(x)=x^2-3x?​

Answers

X= 0,3

Do you want me to explain why?

Two radar stations 2.5 miles apart are tracking an airplane. the straight-line distance between Station A and the plane is 7 miles. the straight-line distance between station B and the plan is 9 miles. What is the angle of elevation from Station B to the plane?

Answers

Answer: Hi the answer would be 32 Degrees

Step-by-step explanation:

The answer to this question is 32 degrees

Determine the equation of the line that passes through (5,2)and has the same y-intercept as y = 3

Answers

Answer:

y = -0.2(x) + 3

Step-by-step explanation:

One way to find an equation for a line is to find two points and go from there. To find the second point, we can note that the y intercept means when x=0. In the line y=3, y is always 3, so when x=0, y = 3.

Our two points are then (5, 2) and (0,3)

To find the slope, we can use

[tex]\frac{y_2 - y_1}{x_2-x_1} = \frac{3-2}{0-5} \\= \frac{1}{-5} \\= -0.2[/tex]

Using the formula y = mx + b and the slope m = -0.2, plugging into (5, 2) and solving for b, we get

2 = -0.2 (5)  +b

2 = -1 + b

add 1 to both sides to isolate the b

b = 3

Our formula is thus

y = -0.2(x) + 3

A fish-tank has a length of 27 centimeters, a width of 21 centimeters and a depth of 16 centimeters. Find the volume of the fish-tank.

Answers

Answer:

To find the volume of the fish tank, we will need to multiply the height, the length, and the width of the fish tank. So, 21 x 27 x 16 = 9072 cm

Answer:

9027 cm^3

Step-by-step explanation:

V= L*W*H

V=27cm*21cm*16cm

V=567*16

V=9072 cm^3

The cm is cubed because you are also multiplying cm*cm*cm So, it would be cm cubed or cm^3

A mobile set is sold for Rs 6,630 after a discount of 15%. Find the marked price of the mobile set.

Answers

Answer:

MP = RS 7,800

Step-by-step explanation:

Let

Marked price = MP

MP x (100 – 15) / 100 = Rs 6,630

MP × (85)/100 = Rs 6,630

MP = Rs 6,630 ÷ 85/100

MP = 6,630 × 100/85

MP = 663,000/85

MP = 7,800

MP = RS 7,800

Miss Chambers bought 5 pens for $255, if she made a profit of $3 each per pen how much did she sell a pen for?​

Answers

Answer:

$54

Step-by-step explanation:

First, we calculate the amount she paid for each pen.

$255/5 = $51

She paid $51 for each pen.

She made a profit of $3 per pen, so she sold each pen for $51 + $3 = $54

Answer: $54

Line AB passes through points A (-6,6) and B(12,3). If the equation of the line is written in slope-intercept form, y=mx+b, the. m=-16. What is the value of b?

Answers

Answer:

You wrote the question wrong...

m is not -16 it is -1/6 (that is a big difference)

y=mx+b

y=-1/6x+b

3 = -1/6(12) + b

3 = -2 + b

b=5

Step-by-step explanation:

7
Mr Johns needs four different lengths of pipe.
2.8 m
4.1 m
0.4 m
The pipe costs £1.34 per metre.
Work out the total cost of the pipes Mr Johns needs to buy.
Round your answer to the nearest penny.
Ict
ance is

Answers

Answer:

something.....................

Find the product of 21 and (6.3 · 10x^{-4} ).

1.) 1.323 · 10 x^{2}
2.) 1.323 · 10 x^{-3}
3.) 0.1323 · 10 x^{-1}
4.) 1.323 · 10 x^{l2}

Answers

Answer:

1.  13.23x^2

2.  13.23/x^3

3 .  1.323/x

4.13.23x^12

Step-by-step explanation:

pls mark me brainlest if u can those took forever lol


plsss helppp i have 1hr left

What is the value of x in the equation *x - y = 30, when y = 15?
O 4
8
O 80
O 200

Answers

Answer:

Is there an option of 45

Step-by-step explanation:

x-15=30

so +15

x=45

helppppppp pllzzzzzzzzzzzz

Answers

The answer is D. Hope this helps

Answer:

D 1/25

Step-by-step explanation:

5 multiplied by the negative second power is .04, .04 times 25 equals 1.

What does it mean buy “Determine the total volume of the doghouse.”

I’ve already done all the work for each shapes on a dog house, I figured out all the volumes for each but does this question mean, do I add all my volume together? They are all really big numbers

Answers

can you give the question?i can help you solve it

Les is measuring the border of her bulletin board. She measures around the entire outside of the bulletin board and finds the distance is 32 units.
Which measurement does 322 units represent?

Answers

Perimeter of the board

Find the value of x.

Answers

Answer:

Step-by-step explanation:

Vertically opposite angles are equal

8x + 2 = 7x + 11

Subtract 2 from both sides

8x    = 7x + 11 - 2

8x  = 7x + 9

Subtract 7x from both sides

8x - 7x = 9

x = 9

Your purchase a T-shirt with a label pre-tax price of $17 the local sale price rate is 5% what is your final cost including tax

Answers

Answer: $17.85

Step-by-step explanation:

The tax on the T-shirt is 5% and the price is $17.

To find the after-tax cost, first find the tax amount:

= 5% * 17

= $0.85

Then add this tax amount to the price to find the after-tax amount:

= 17 + 0.85

= $17.85

What's The actual length of QR (round to 3 decimal places) ?

Answers

Answer:

4.383

Step-by-step explanation:

Pythagoras

a² + b² = c²

with c being the baseline of the rectangular triangle (the line opposite to the 90 degree angle).

so, in our example here c=6.5cm, a=QR, b=4.8cm

a² = c² - b² = 6.5² - 4.8² = 19.21

a = sqrt(19.21) = 4.383

A bag contains 60 marbles of different colours. The probability of randomly selecting a red marble is 5/12. How many red marbles does the bag contain?

Answers

Answer:

25 red marbles

x/3 + 1/1
pls answer if you know ​

Answers

Answer:

[tex]\frac{x}{3} + \frac{1}{1} = \frac{x+3}{3}[/tex]

Step-by-step explanation:

[tex]\frac{x}{3} + \frac{1}{1} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ LCM \ of \ 1 , 3 = 3 \ ]\\\\= \frac{x}{3} + \frac{1 \times 3}{1 \times 3} \\\\= \frac{x}{3} + \frac{3}{3}\\\\=\frac{x+ 3}{3} \\\\[/tex]

Answer:

[tex] \frac{x + 3}{3} [/tex]

Step-by-step explanation:

[tex] \frac{x}{3} + \frac{1}{1} \times \frac{3}{3}[/tex][tex] \frac{x }{3} + \frac{3}{3} [/tex][tex] \frac{x + 3}{3} [/tex]Hope it is helpful....

Please help I put 74 points there is an image

Answers

Answer:

x = 37 y = 27

Step-by-step explanation:

x = y + 10

x + y = 64

y + 10 + y = 64

y = 27

64 - 27 = 37

Answer:

What coatside dad said

Step-by-step explanation:

Find the 6th term in the
sequence.
5, 20, 80,...
Hint: Write a formula to help you.
1st ferm - Common Ratio desired term - 1)

Answers

Answer:

5,120

Step-by-step explanation:

5x4=20

20×4=80

80x4=320

320x4=1,280

1,280x4=5,120

Hope this helps! :)

Answer:

Step-by-step explanation:

first term a=5

common ratio r=20/5=4

[tex]a_{n}=ar^{n-1}\\a_{6}=5(4)^{6-1}\\=5(4)^5\\=5120[/tex]

help with these 3 I did all the other questions of the assignment, these are confusing ASAP

Answers

Answers:

Problem 7) 25.2 feetProblem 8) Angle = 52 degrees;  Distance = 14.3 feetProblem 9) DE = 22, EC = 10, BC = 20

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

Explanation:

The diagrams for problems 7 and 8 are shown below.

------------------------------------

Problem 7

Apply the tangent ratio to find that...

tan(angle) = opposite/adjacent

tan(42) = x/28

28*tan(42) = x

x = 28*tan(42)

x = 25.2113132403396

x = 25.2

Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1 as a result.

------------------------------------

Problem 8, part 1

To find the angle y, we must use the sine ratio

sin(angle) = opposite/hypotenuse

sin(y) = 18/23

y = arcsin(18/23)

y = 51.5000495907521

y = 52 degrees approximately

------------------------------------

Problem 8, part 2

We can use the pythagorean theorem to find the missing side x

a^2+b^2 = c^2

18^2+x^2 = 23^2

324+x^2 = 529

x^2 = 529-324

x^2 = 205

x = sqrt(205)

x = 14.3178210632763

x = 14.3

Or alternatively, we can apply the tangent ratio on the angle y we found earlier to help find x

tan(angle) = opposite/adjacent

tan(y) = 18/x

tan(51.50004959) = 18/x

x*tan(51.50004959) = 18

x = 18/tan(51.50004959)

x = 14.3178210636621

x = 14.3

------------------------------------

Problem 9

The double tickmarks show that BE = EC = 10. That means BC = BE+EC = 10+10 = 20.

Since we have similar triangles, we can solve for x like so

DE/AC = BE/BC

x/44 = 10/20

20x = 44*10

20x = 440

x = 440/20

x = 22

So DE is 22 units long. Note how this is half as long as the side AC = 44.

1. Deborah finds that the theoretical probability of flipping "heads" on a fair coin was
50%. After she flipped the fair coin 100 times, she calculated that she Flipped "heads"
45 times. What is the percent difference in theoretical and experimental probability?

Answers

Answer:

29

Step-by-step explanation:

If you calculate the difference with the 45 and percentage you will get 29 including with the X and - should be east

I really need help please

Answers

Answer:

-2/3

Step-by-step explanation:

The slope would be negative 2 over 3

What is the simple interest on $7430 invested for 3 years at 5% per annum simple interest?​

Answers

Step-by-step explanation:

Simple interest=principal× time× rate/100

=7430×3×5/100

=1114.5

Answer:

114.5

Step-by-step explanation:

Write this percentage as a fraction in its simplest form.
30%​

Answers

Answer:

30/100

Step-by-step explanation:

30% as a fraction is 3/10; In simplest form is 30% = 30/100.

The answer is 3/10 :)

Help ASAP. I will give brainliest

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

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