In the diagram of a circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.
Answers
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
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.
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....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
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
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
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 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
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
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
helppppppp pllzzzzzzzzzzzz
Answers
Answer:
D 1/25
Step-by-step explanation:
5 multiplied by the negative second power is .04, .04 times 25 equals 1.
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.
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
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
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 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
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
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
what are the zeros of the function f(x)=x^2-3x?
Answers
Do you want me to explain why?
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
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..
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]
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
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:
Help ASAP. I will give brainliest
Answers
Answer:
Step-by-step explanation:
Hope this helps u !!
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:
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 =
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.
I really need help please
Answers
Answer:
-2/3
Step-by-step explanation:
The slope would be negative 2 over 3
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:
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: