Given GH is tangent to ⊙T at N. If m∠ANG = 54°, what is mAB ? A circle with centre T is given. GH is tangent to the circle which touches the circumference of the circle at point N. From N, a diameter NTB is drawn. A chord AN is also given, this chord forms an acute angle with tangent. mAB = 72 °
Answers
Answer:
mAB=72°
Step-by-step explanation:
Theorem:The angle between a Tangent and a Radius is 90 degrees.
Applying the above theorem therefore:
∠ANG+∠ANB=90°
54°+∠ANB=90°
∠ANB=90°-54°
∠ANB=36°
Now, Inscribed Angle=[tex]\frac{1}{2}[/tex] of the measure of the arc
Therefore:
36°=[tex]\frac{1}{2}X[/tex] mAB
mAB=36*2=72°
The measure of arcAB is 72 degrees
Circle geometryAccording to the theorem, the angle between a Tangent and a Radius is 90 degrees.
Applying the above theorem, therefore:
∠ANG+∠ANB=90°
54°+∠ANB=90°
∠ANB=90°-54°
∠ANB=36°
Since inscribed angle = of the measure of the arc
Therefore:
36°= mAB
mAB=36*2=72°
Hence the measure of arcAB is 72 degrees
Learn more on circle geometry here: https://brainly.com/question/24375372
Related Questions
Can someone help me with this physics equation please I am really in need of help
If 120 V is applied to refrigerator with a resistance of 14.0 2, calculate the
current flowing through the refrigerator.
Answers
Answer:
The current is approximately 8.571 Amps
Step-by-step explanation:
You are supposed to use Ohm's Law for this problem.
Recall that Ohm's Law gives you the relationship between voltage applied (V), resistance (R) and current (I):
[tex]V=I\,*\,R[/tex]
If the units of resistance are ohms, and the voltage is in volts, the current will be given in Amps (amperes). Then solving for the current (I) in the above equation:
[tex]I=\frac{V}{R} \\I=\frac{120}{14} \\I=8.571\,\,Amps[/tex]
4/5 >-2/3d helpppppppppppppppppppp
Answers
------------------------------------------------
4/5 >-2/3d
Switch sides:
-2/3d < 4/5
Multiply both sides by -1:
(reverse the inequality)
(-2/3d)(-1) < 4/5 (-1)
Simplify:
2/3d > -4/5
Multiply both sides by 3:
3* 2/3d > 3(-4/5)
Simplify:
2d > -12/5
Divide both sides by 2:
2d/2 > -12/5/ 2
Simplify:
d > -6/5
Your Answer As A Fraction Is d > -6/5
Your Answer As A Decimal Is d > -1.2
plz mark me as brainliest if this helped :)
A restaurant offers 6 kids meal prizes. The prizes are placed in the meals at random. Describe a model that could be used to simulate selecting one of the prizes
Answers
Answer:
You could use a dice.
Step-by-step explanation:
This then shows that if there 1 meal you want, it shows a 1 in 6 chance to get but not always. For example you could roll the dice and it hit the 1st meal prize three times and not the 5th meal prize once.
Select the correct answers
options-
(0,0)
(1, 2)
(3, 6)
(4, 2)
(10, 5)
(4, 8)
Answers
Answer:
see below
Step-by-step explanation:
y = 1/2x
Substitute the points into the equation and see if it is true
If it is true it is on the line
(0,0)
y = 1/2x
0 = 1/2(0)
0=0 true
(1, 2)
y = 1/2x
2 = 1/2(1)
2=1/2 false
(3, 6)
y = 1/2x
3 = 1/2(6)
3=3 true
(4, 2)
y = 1/2x
2 = 1/2(4)
2=2 true
(10, 5)
y = 1/2x
5 = 1/2(10)
5=5 true
(4, 8)
y = 1/2x
8 = 1/2(4)
8=4 false
Log base 32 of 2
Help
Answers
Answer:
[tex]log_{32}(2)=0.2[/tex]
Step-by-step explanation:
Recall that the unknown (x) here is the log base 32 of 2, so we can write this as the equation:
[tex]log_{32}(2)=x[/tex]
The above equation can be solved by the "change of base formula":
[tex]x=\frac{log(2)}{log(32)} \\x=0.2[/tex]
We can also answer this by trying to solve the exponential equation:
[tex]32^x=2[/tex]
Where we are asked what is the exponent (x) at which we need to raise the base (32) in order to obtain the answer "2"?
Notice that since
[tex]2^5=32[/tex]
Then [tex]32^{1/5} = 2[/tex]
And 1/5 = 0.2 which also agrees with our previous answer
The screen on the iPhone 11 had a base of 51.7mm and a height of 90.39 find the area
Answers
Answer:
did u just ask this junk for fun if u did get a life
Step-by-step explanation:
Answer:
The answer would be 4673.163.
Step-by-step explanation:
All you do is multiply 90.39 and 51.7 and get your answer.
In terms of power is the volume of the sphere
Answers
Work Shown:
The diameter is 60 feet, so the radius is half that at 60/2 = 30 feet.
Plug r = 30 into the formula below and simplify
V = (4/3)*pi*r^3
V = (4/3)*pi*(30)^3
V = (4/3)*pi*27000
V = (4/3)*27000*pi
V = 36000pi
Answer:
[tex]36000\pi ft^3[/tex]
Step-by-step explanation:
[tex]V=\frac{4}{3} \pi r^3\\=\frac{4}{3} \pi 30^3\\=113097.336ft^3\\[/tex]
In terms of Pi this equals
[tex]36000\pi ft^3[/tex]
How do you find equivalent ratios? (Please put explanation)
Answers
Two classmates, Aisha and Brandon, want to attend two school activities
over the coming weekend. They have one parking pass between them. The
probabilities that the classmates will attend each event are shown in the
table.
Aisha
Brandon
0.90
0.71
Probability of attending
the Saturday activity
Probability of attending
the Sunday activity
0.68
0.89
They decide to let the person more likely to attend both events have the
parking pass. Assuming that attendance at one activity is independent of
attendance at the other, who is more likely to attend both activities?
A. Aisha. She has a 0.61 probability of attending both activities.
B. Brandon. He has a 0.71 probability of attending both activities.
C. Brandon. He has a 0.63 probability of attending both activities.
Answers
Answer:
C. Brandon. He has a 0.63 probability of attending both activities.
Step-by-step explanation:
Probability of attending Probability of attending
the Saturday activity the Sunday activity
Aisha 0.90 0.68
Brandon 0.71 0.89
Given that attendance at one activity is independent of attendance at the other, the probability that Aisha attends both activities is: 0.9*0.68 = 0.61, and the probability that Brandon attends both activities is: 0.71*0.89 = 0.63
Brandon has a 0.63 probability of attending both activities.
The correct option is (C).
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Probability of attending Probability of attending
( Saturday) ( Sunday )
Aisha 0.90 0.68
Brandon 0.71 0.89
As, attendance at one activity is independent of attendance at the other activity.
P( Aisha attends both activities)
=0.9*0.68
= 0.61,
P(Brandon attends both activities)
= 0.71*0.89
= 0.63
Hence, Brandon. He has a 0.63 probability of attending both activities.
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ5
A 13 ft ladder is laying on a wall, the angle the ladder makes with the floor is 45 degrees.
How high off the ground is the top of the ladder? Use the function y = 13cos (θ)
Answers
Answer:
9.1924
Step-by-step explanation:
if you make a model the 13 foot ladder is the hypotenuse and the height off the ground is the opposite. so you would you sin. this is what the equation would look like. sin(45)=x/13
now just multiply 13 to sin(45)
*i know it says to use y=13cos but i don't see why you would use that to find the height of the wall, but I might be wrong on how to do it, this is just how I learned and is what my level of math is.
can anyone help me w this acellus question
Answers
Answer:
( 9,0 ) (0,21)
Step-by-step explanation:
!!PLEASE HELP I WILL MARK U BRAINIEST AND 5 STARS!!!
Answers
Answer:D
Step-by-step explanation:
Need to find angle z please help. Angle x and y are 56 degrees.
Answers
Answer:
43º
Step-by-step explanation:
56*2=112
360-112=248
248/2=124
124-81=43
the sales of a particular brand of children’s athletic shoes rose from 6900000 to 7500000. find the percent of increase in sales. round to the nearest tenth of a percent if necessary
Answers
Answer:
6900000 + (6900000 * x) = 7400000
This equation is telling us 6900000 plus 6900000 times a specific percent will get you 7400000, which is what you want.
6900000 + (6900000 * x) = 7400000
6900000 + 6900000x = 7400000
Subtract 6900000 from both sides.
6900000x = 500000
Divide both sides by 6900000
x = 0.0724637681, or .07 when rounded to the nearest tenth.
convert .07 to a percentage by moving the decimal point two places to the right.
.07 = 7%
The sales of the children's athletic shoes rose about 7%
Step-by-step explanation:
How many students got eight or more answers correct?
Answers
Answer:
9
Step-by-step explanation:
You have to count the number of dots there are after the number 8. (This includes the dotes above 8.)
Answer:
9 students
Step-by-step explanation:
Assuming that these dots represent students, let us begin with the amount of students that answered 8 questions right;
Students who got 8 answers right ⇒ 4 students,
Students who got 8 answers right ⇒ 3 students,
Students who got 10 answers right ⇒ 2 students
Now we are to compute the value of the students who received 8 or more answers right, provided the questions are out of 10;
Students who received 8 or more answers right; 4 + 3 + 2 = 9 students
Solution; 9 students
Michel started to drive from New York to Washington, DC, which is 120 miles away, at 7:00 AM. For the first hour and a half of her trip, Michel was driving at a speed of 50 mph. What was her average speed during the second part of the trip, if she reached Washington at 10:00 AM?
Answers
Answer:
The average speed on the second part was 30 mph.
Step-by-step explanation:
The whole trip between New York and Washington is 120 miles. On the first part he drove at 50 mph for 1.5 h, from 7 AM to 8:30 AM, therefore he drove a distance of:
distance = speed*time = 50*1.5 = 75 miles
So the second part had a length of 120 - 75 = 45 miles. With an elapsed time of 1.5h, therefore the average speed was:
speed = distance / time
speed = 45 / 1.5
speed = 30 mph
The average speed on the second part was 30 mph.
Mai has picked 1 cup of strawberries for a cake which is enough for 3/4 of the cake. How many cups does she need for the whole cake?
Please help!! IDK the answer
Answers
Answer:Mai has picked 1 cup of strawberries for a cake which is enough for 3/4 of the cake. How many cups does she need for the whole cake?
Step-by-step explanation:
Answer:
1.25 cups of strawberries
Step-by-step explanation:
1=3/4
1/4=0.25
1+0.25=1.25 cups of strawberries
a water tank composed of two hemispheres and a cylinder is being constructed as shown below. if the cylinder portion of the tank has a circular cross-section with a circumference of 6 feet, how many cubic feet of water can it hold?
Answers
Answer: I’d the circumference is 6 it would be 6 x 3.14
Step-by-step explanation:
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 12% are pennies and 34% are dimes. There are 5 more nickels than pennies. How much money does the bag contain?
Answers
Answer:
6 pennies , 17 dimes and 11 nickels and 16 quarters
7. Find the slope of the line passing through the points (-2,9) and (-10,33).
Answers
Look at the attached picture
hope it will help you
hope this helps
brainliest appreciated
Could somebody help me on this please?
Answers
Answer:
1- longest side
2- adjacent and opposite
3-a^2 + b^2 = c^2
4- yes, by using pythagorean theorem
Step-by-step explanation:
1- the hypotenuse is always the longest side
2- the three sides are called hypotenuse, adjacent and opposite
3- a^2 + b^2 = c^2 is a formula to solve for missing legs
4- pythagorean theorem (a^2 + b^2 = c^2) is the formula to solve for missing legs/hypotenuse . A and B represents a leg and c will always be the hypotenuse, you then isolate for the letter you are missing
Which of the following shows no correlation between the independent and dependent variables?
A
16
14
12
10
0
6
8
B
14
12
10
8
6
4
Answers
I'm sorry but your question doesn't really make sense.
Maybe Try adding some pictures of the problem?
What is the area of the trapezoid above?
26 centimeters squared
80 centimeters squared
8.5 centimeters squared
208 centimeters squared
Answers
Answer:
26 square meters (the first option)
Step-by-step explanation:
The area of a trapezoid is (b1+b2)/2*h.
b1=one of the bases (one of the bases that are parallel to each other)
b2= the other base (that is parallel to base 1)
h=height
In this picture, b1=5, b2=8, h=4
So, the area is
(5+8)/2*4
=13/2*4
=6.5*4
= 26 square meters
Which number correctly completes the equation?
5(42) – 5(12) = 5(_____)
Options:
A. 40
B. 30
C. 25
D. 5
Answers
Answer:
B
Step-by-step explanation:
Just factor it:
5(42 - 12) = 5(30)
Answer:
B
Step-by-step explanation:
Given
5(42) - 5(12) ← factor out 5 from each term
= 5(42 - 12)
= 5(30)
Thus 30 completes the equation
*EDITED TO SEE BOTH DIAGRAMS* MEANT TO SAY BIOLOGY NOT MATH
In class, Malik and Deniz were learning about evolution. They studied the two diagrams below.
Diagram A shows four animals as embryos: a fish, an amphibian, a bird, and a human. Diagram
B shows these animals as adults.
Molik and Deniz noticed that all four organisms have gill slits in their embryonic stage and made
the following statements
Malik said, "I think all four organisms have a common ancestor because they all share a
common characteristic, gill slits, in the embryonic stage."
Deniz said, "I dont think they all descended from a common ancestor, because when they
are adults, they do not all have gills or share many other similar physical characteristics."
1. Who do you agree with? Include information about the evolution in your response. [3]
Answers
Answer:
Deniz, as he would be correct because those images of the embryos were classified as fraud, so Malik's theory could not be true in the first place becuase the images are not based on reality, but the pictures that Deniz are using as the backup for his theory are true so his statement would be true...
idk if your school can take that as an answer but that is the truth, so just in case here is an alternate answer
Deniz because the only time the organisms are similar in appearance is for a short period of time, then they drastically change in appearance, never to share common characteristics again, if they were from the same ancestor they would all have characteristics pointing to each other and there ancestor
Step-by-step explanation:
Answer:
The answer is 1,3,4
Step-by-step explanation:
Solve the equation for y.
4.2.1 – 1.4y = 2.1
Answers
Answer:
y=−1.2
Step-by-step explanation:
Please mark me brainllest!!!!!!!!!!!!!!
WHICH ONE DOESN'T BELONG ? Circle the
measure that does not belong with the other three. Explain
your reasoning..PLS HELP HURRY BEST ANSWER GETS BRAINLESST!
Answers
Answer:
3500 km
Step-by-step explanation:
John wants to buy a shirt. The shirt costs $60. John has a coupon that would take 10% off the price of the shirt. How much would be the sale price of the shirt after the 10% discount?
Answers
Answer:
$54
Step-by-step explanation:
10 percent of 60 is 6 and thats because 60 times 10 percent is 6 so $60-$6=$54
On a math test, 5 out of 20 students got an A. If three students are chosen at random without replacement, what is the probability that all three got an A on the test?
Answers
Answer:
5
Step-by-step explanation:
PLEASE HELP ME! THIS IS DUE AT 5, AND IM RLLY CONFUSED. I NEED TO SHOW WORK AS WELL. I WILL GIVE BRAINLIEST AND 20 POINTS
Answers
Answer:
1. Andrew- 24
Brandon- 6
Carlo- 10
oh god idk
2. he would have to get 100% because 90+90=180 and 180-80-100 and so 100+80=180 and 180/2=90 so 100%
3. 92.6 because 90+98+96+94+85=463 and 463/5=92.6 and 463+92.6=555.6 and 555.6/6 is 92.6 which is ultimately 92
4. idk understand stem and leaf plots but this is how you find a median
The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.
Step-by-step explanation: