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

f(x)=5x−3, find f(2)f(2)

Answers

Answer:

f(2)f(2) = 49

Step-by-step explanation:

Note that f(2)f(2) is the same as [f(2)]^2.

If f(x) = 5x - 3, then f(2) = 5(2) - 3, or f(2) = 7, and so:

f(2)f(2) = [f(2)]^2 = 7^2 = 49

Thus, f(2)f(2) = 49

Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.

On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?

(2, –8)
(–8, –2)
(–2, 8)
(8, 2)

Answers

Answer:

i think it is b -8 -2

Step-by-step explanation:

Answer:

in picture

Step-by-step explanation:

Use the function h(t) = -167 + C, where
t is the number of seconds and c is the
height of the bridge. How high above the
ground is a ball that was dropped off a
260-foot-high bridge after 2 seconds?
A O feet
B 64 feet
C 196 feet

Answers

Answer:

Ball distance from ground = 74 feet

Step-by-step explanation:

Given function;'

h(t) = -167(t) + C

t = number of seconds

c = height of the bridge

Find:

Ball distance from ground

If,

c =  260-foot-high bridge

t = 2 seconds

Computation:

h(t) = -167(t) + C

h(2) = -167(2) + 260

h(2) = -334 + 260

h(2) = -74

Ball distance from ground = 74 feet

A car uses 6 litres of petrol when travelling 66 Km. Calculate the number of litres of petrol used when travelling 165 Km?

Answers

Answer:

15L

Step-by-step explanation:

divide the number of km's you will travel(165) by the number you are given originally(66)- 165/66 is 2.5

then multiply 2.5 by the amount  of litres it takes for the original 66 km (6L)- 2.5*6 is 15L

PLEASE HELP MEE please33​

Answers

Answer:

x=3, y=-1

Step-by-step explanation:

[tex]3x+y=8, 2x-2y=8[/tex]

Double the first equation, then add the second

  6x+2y=16

+ 2x-2y=8

The y's cancel each other out.

8x=24

x=3

Solve for y

6-2y=8

2y=-2

y=-1

Double check:

6(3)+2(-1)=16

18-2=16

Yay!

If any one could please help

Answers

Answer:

I believe it’s the 3rd option but I’m not completely confident

Step-by-step explanation:

who am I kidding I’m never confident lol

The answer is 3 I believe

Question 16. Use the Triangle Inequality Theorems to determine if a triangle can exist with the given side lengths. (HINT: A triangle with sides a, b and c
exists if and only if the sum of any two sides of the triangle is greater than
the third side.) *
7,16, 6

Answers

Answer:

no

Step-by-step explanation:

7 squared plus 6 squared is 85 while 16 squared is 256

Surface area.. please answer

Answers

160, I think. SA=2(lw+lh+wh).

[tex] \boxed{ \mathfrak{\huge \: \underline{ \underline{A nswer} }: }}[/tex]

Given terms :

[tex]\hookrightarrow \: length = 8 \: in[/tex]

[tex]\hookrightarrow \: width = 2 \: in[/tex]

[tex] \hookrightarrow \: height = 12 \: in[/tex]

we know,

[tex] \large\boxed{ \mathrm{surface \: \: area \: (a) = 2(lw + wh + lh)}}[/tex]

[tex]\hookrightarrow \mathrm{\: a = 2 \times \bigg [(8 \times 2) + (2 \times 12) + (8 \times 12) \biggr]}[/tex]

[tex]\hookrightarrow a = 2 \times \biggr[16 + 24 + 96 \biggr][/tex]

[tex]\hookrightarrow \: a = \bigg [\: 2 \times 136\bigg ][/tex]

[tex]\hookrightarrow \large \boxed{ \mathrm{a = 272 \: \: in {}^{3} }}[/tex]

____________________________________

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

m (slope) =
b ( y - intercept) =
x - intercept =​

Answers

Answer:

Step-by-step explanation:

Answer:

Hello! The slope is 1/2, the B value is 2, and the x- intercept would be -6!

Step-by-step explanation:

Well, the B intercept in the start point, as we can see, this linear equation starts at 2! Also, it is the y-intercept, therefore it intercepts the y-line at 2 if you look closely. For the slope, we can figure this out by picking any two clear points on the graph that the line goes through that is EXACT, (has to be directly on a point that is a whole number), and we do rise over run to calculate the slope! If you are having trouble with that, I suggest watching videos on Khan Academy's website about linear equations/linear graphs! Again, with rise over run, we can figure out the x intercept once it passes over the x intercept! I'm not an expert but I have been in algebra!

Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

have you tried photo math?

Please help this is done today at 11:59 PM tonignt

Answers

This one is the 90 degrees

Answer:

should be 359.18876

Step-by-step explanation:

if you round it to the nearest hundredth it will give you your answer in units

14.) Solve for x if mZHWO
= 40", mHo is (x - 2) and
mYD is (x + 6).
x=
D
H
W
Y

Answers

Answer:

x = 38

Step-by-step explanation:

The chord- chord angle HWO is half the sum of the arcs intercepted by the angle and its vertical angle, that is

[tex]\frac{1}{2}[/tex] (x - 2 + x + 6) = 40 ( multiply both sides by 2 to clear the fraction )

2x + 4 = 80 ( subtract 4 from both sides )

2x = 76 ( divide both sides by 2 )

x = 38

I got it wrong because I’m not too good in math but help a girl out, please

Answers

Answer:

24 is right

Step-by-step explanation:

What is an equation of the line passing between(4, -6) and (12, -8)?*

Answers

Answer:

y= -1/4x - 5

Step-by-step explanation:

first you need to find the slope.

to do this you can use the equation: change in y/change in x which is also y2 - y1/x2-x1

-8 - (-6)/12-4

-2/8

-1/4 = slope

since the line's equation is y = mx + b, we still need to find the y-intercept. we can do this by just plugging in one of the points

-6 = -1/4(4) + b

-6 = -1 + b

-5 = b

so the final equation is y= -1/4x - 5

Solve for x. Assume that lines which appear tangent are tangent. X=

Answers

Answer:

x = 32

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+18) * 18 = 30^2

(x+18) * 18 = 900

Divide each side by 18

(x+18) * 18/18 = 900/18

(x+18)  = 50

Subtract 18 from each side

x+18-18 = 50-18

x=32

Answer:

50

Step-by-step explanation:

tangent-secant theorem

in Lisa’s school, 53% of students take a bus to school, 38% go the bus riders were late one snowy morning. 25% of students who don’t take a bus to school were not late that morning. What percent of students who do not take the bus was late that morning?

Answers

Answer:

I got 53% but I'm not sure

Step-by-step explanation:

if 53% of students take the bus, then 47% of students DON'T.

25% (the percent of non-riding students who were late) of 47 is about 53%

10 cm
12 cm
20 cm
12 + x
G
12 cm
A
X

Answers

Answer:

x = 12 cm and y = 24 cm

Step-by-step explanation:

Three sides of the first triangle are 10 cm, 12 cm and 12 cm.

Three sides of second triangle are 20 cm, 12+x cm and y cm.

As these two triangles are similar, it means,

[tex]\dfrac{10}{20}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{y}\ \text{and}\ \dfrac{1}{2}=\dfrac{12}{12+x}\\\\y=24\ cm\ \text{and}\ 24=12+x,x=12 cm[/tex]

So, the value of x is 12 cm and that of y is 24 cm.

Find the missing side

Answers

Answer:

See below

Step-by-step explanation:

Remember SOHCAHTOA

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case we use TOA.

tan(71) = x/34

x = tan(71) * 34

x = 98.7

PLEASE HELP! Translate the following phrase into a variable expression. Use the letter d to name the variable.

…10 times as deep..

A. d + 10

B. 10d

C. d/10

D. d - 1

Answers

Answer:

B. 10d

Step-by-step explanation:

10 times d = 10d

Hope its right

PLEASE HELP! BRAINLIEST! AND EXTRA POINTS
Tamara uses a coupon to save 20% off her purchase at the bookstore. The original cost of Tamara's purchase is d dollars​

Answers

Answer:

The discount is $0.8d.

Step-by-step explanation:

Given that,

The original cost of Tamara's purchase is d dollars​.

Tamara uses a coupon to save 20% off her purchase at the bookstore.

Discount = 20%

Discount is applied to the original cost.

Discount = d-(20/100)d

Discount = 0.8 d

Hence, the discount is $0.8d.

Express sin T as a fraction in simplest terms.

Answers

Answer:

sinT = [tex]\frac{15}{17}[/tex]

Step-by-step explanation:

We require to calculate RT before obtaining sinT

Using Pythagoras' identity in the right triangle

RT² = 30² + 16² = 900 + 256 = 1156 ( take the square root of both sides )

RT  = [tex]\sqrt{1156}[/tex] = 34 , then

sinT = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{30}{34}[/tex] = [tex]\frac{15}{17}[/tex]

Simplify cot x - cos to the power 3 x csc x

Answers

The answer in the picture
I hope it will helpful for u

Melanie recorded a number with two sevens. The value of the first 7 is 7,000. The value of the second 7 is 700. Which could be Melanie's number?

Answers

Answer:

7700.

im not sure if the 00 are to be other numbers but 7700 should be your number

A plant costs p dollars and a bush costs b dollars. Ana buys 2 plants and 4 bushes for $42. Paola buys 7 plants and 9 bushes for $107. Write down a pair of simultaneous equations and solve them to find out the value of p and the value of b.

Answers

Answer:

p = 5 and b = 8

Step-by-step explanation:

First, create a system of equations:

2p + 4b = 42

7p + 9b = 107

Solve by elimination by multiplying the top equation by -7 and the bottom equation by 2:

-14p - 28b = -294

14p + 18b = 214

Add these together, and solve for b:

-10b = -80

b = 8

Plug in 8 as b into one of the equations, and solve for p:

2p + 4b = 42

2p + 4(8) = 42

2p + 32 = 42

2p = 10

p = 5

So, p = 5 and b = 8

Answer:

p = 5 and b =8

Step-by-step explanation:

2p + 4b = 42

2p = 42 - 4b

p = 21 - 2b

7p + 9b = 107

7 (21 - 2b) + 9b = 107

147 - 14b + 9b = 107

147 - 5b = 107

-5b = -40

b = 8

2p + 4 * 8 = 42

2p + 32 = 42

2p = 10

p = 5

What is the sum of 4.2 × 10^5 and 5.3 × 10^5

Answers

Answer:

4.2 x 10^5 = 420,000

5.3 x 10^5  = 530.000

Step-by-step explanation:

Help, please, what is the answer??

Answers

Answer:

18.0

Step-by-step explanation:

The three lines form a right triangle where 10 and 15 are the two legs of the triangle. You can use the pythagorean theorem to solve for the length of x.

x = [tex]\sqrt{15^{2} + 10^{2} }[/tex]

x = 18.028 (approximately 18)

What is the value of the following expression? 5.5(k+7), when k= -7

Answers

Answer:

0

Step-by-step explanation:

5.5(-7+7)

5.5(0)

0

Answer:

0

Step-by-step explanation:

putting k = -7

=> 5.5. ( -7 × 7)

=> 5.5 × 0

=> 0

since any number we multiplied by zero is zero

PLEASE HELP According to the stem-and-leaf plot above, how many students scored a
grade lower than 80?

Answers

Answer:

17

Step-by-step explanation:

Do you even know what a stem-leaf plot is?

The scores lower than 80% are:

70, 70, 71, 78, 62, 62, 63, 68, 69, 69, 57, 57, 58, 49, 49, 30, and 21 percent according to the data given. That is 17 scores less than 80 percent.

A pole that is 3.4 m tall casts a shadow that is 1.61 m long. At the same time, a nearby building casts a shadow that is 36.75 m long. How tall is the building?
Round your answer to the nearest meter.

Answers

Answer:

Step-by-step explanation:

Set this up as a proportion with pole/building height on the top and shadow length on the bottom, using x for the unknown, which is the height of the building:

[tex]\frac{pole/building}{shadow}:\frac{3.4}{1.61}=\frac{x}{36.75}[/tex] and cross multiply to solve:

1.61x = 124.95 so

x = 78 m

A family of 5 bought airline tickets. In addition to their ticket,each person had to pay $39 to check their bag. They spent a total of $1640.
Find the price of each airline ticket

Answers

Answer:

289

Step-by-step explanation:

5 people pay 39 each for their bag, so, 5*39 is 195

now you have to subtract the cost of the baggage(195) from 1640 to be able to get the total cost of tickets- 1640-195 is 1445

the last thing you do is divide the total cost of tickets by the number of people- 1445/5 is 289

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