Angle C is inscribed in circle O. AB start overline, A, B, end overline is a diameter of circle O. What is the measure of \angle B∠Bangle, B?
Answers
The measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
In the image attached below:
Angle C is inscribed in circle O. AB is a diameter of circle O.The measure of the angle A is,
[tex]m\angle A=71^o[/tex]
The measure of the angle C in a semicircle is,
[tex]m\angle C=90^o[/tex]
The sum of all the angle(interior) of a triangle is equal to the 180 degrees. Thus,
[tex]\angle A+\angle B+\angle C=180\\90+\angle B+71=180\\\angle B=180-90-71\\\angle B=19^o[/tex]
Thus, the measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.
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Related Questions
A proportional relationship is shown in the table below:
x 0 2 4 6 8
y 0 1.2 2.4 3.6 4.8
What is the slope of the line that represents this relationship?
_______
Graph the line that represents this relationship.
ill attach the table and the graph
Answers
The Answer is 10/13 :)
Explanation: (13−0)
= 10/13
(10−0)
13,10
The slope of the line that represents this relationship is 10/13 .
What is the slope of the lineThe graph of the line representing the proportional relationship will be a straight line passing through these two points.
The x-axis represents the "x" values, and the y-axis represents the "y" values. The line should have a positive slope and go through the points (0, 0).
From the graph (13−0) = 10/13
From the graph one can see that (10−0) will lead to the points of 13,10 So, the slope of the line that represents this relationship is 10/13 .
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Find the perimeter of the parallelogram whose vertices are A (-1,1), B (-9,6), C(-12,11) and D(-4,6) Give your answer correct to one decimal place
Answers
Answer: 30.5
Step-by-step explanation:
HELPPPPPPP! DUE TOMORROW
Answers
Answer: Check the step by step
Step-by-step explanation:
Measure of <2 = 37.3 because opposite sides of a line are congruent. To find < 1, you have to add that plus <2 ( 37.3 ) to equal 180. 180 -37.3 = 142.7
For <3, it is also gonna be 142.7 ( as said before, opposite sides are congruent. ) and for <4, it is gonna be 79.4. Hope this helps! If you have any other questions, let me know! :D
Rita wants to save her babysitting money to buy a $249.99 camera. she makes $64.33 a month, and her fixed expenses are $34.50 a month. how do you think she should budget for the camera?
Answers
The number of months in which Rita has a budget to buy a camera is 8 and a half months if Rita wants to save her babysitting money to buy a $249.99 camera.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Rita wants to save her babysitting money to buy a $249.99 camera. she makes $64.33 a month, and her fixed expenses are $34.50 a month.
Let x be the number of months in which Rita has a budget to buy a camera.
The linear equation in one variable can be framed as follows:
(64.33 - 34.50)x = 249.99
29.83x = 249.99
x = 8.38 = 8.5
Thus, the number of months in which Rita has a budget to buy a camera is 8 and a half months if Rita wants to save her babysitting money to buy a $249.99 camera.
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Need help:
Find the distance between A
and B
Answers
Answer:
2.6
Step-by-step explanation:
A= -1.3
B=1.3
1.3--1.3=2.6
Answer:
2.6 units
Step-by-step explanation:
If you round down the distance is 2. then you all the 2 decimals 0.3 and 0.3 to get 2.6 units.
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.
Which inequality pairs with y≤−2x−1 to complete the system of linear inequalities represented by the graph?
y<−2x+2
y>−2x+2
y<2x−2
y>2x−2
Answers
Answer:
To graph the inequality
y < 2x - 5
we graph the dashed boundary line y=2x-5 with a positive slope of 2 and y-intercept (0,-5) and shade everything to the right.
To graph the inequality y>-3x+1, we graph the dashed boundary line y=-3x +1 with y-intercept (0,1) and shade every above it.
The intersection of the two shadings is the solution to the system of inequalities:
y < 2x - 5
and
y > -3x + 1
Three straight lines are shown in the diagram.
310°
a
C
38%
87%
Answers
Step-by-step explanation:
______________________The sum of angle at a point is 360° so...
310° + a = 360°
a = 360° - 310°
a = 50°
Now...
here b and 180° are supplementary angle so ....
b = 180° - 80°
b = 100°
Again...
The sum of all angle of triangle is 180° so...
100° + 50° + c = 180°
150° + c = 180°
c = 180° - 150°
c = 30°
______________________Hence...the value of a is 50° , b is 100° and c is 30°...
______________________What is the quotient of (x3 6x2 11x 6) ÷ (x2 4x 3)? x 2 x – 2 x 10 x 6
Answers
The quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2
How to determine the quotient?The quotient expression is given as:
[tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex]
Expand both expressions
[tex](x + 3)(x + 2)(x +1) \div (x + 3)(x +1)[/tex]
Cancel out the common factors
x + 2
Hence, the quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2
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7th grade math!!!!!! HELP!
Morgan begins to use synthetic division to divide x4 + x3 − 6x2 − 4x + 8 by x − 2, as shown below. Which of the following shows the correct values to replace the question marks, and also gives the quotient?
A. 2, 6, 0, −8; x^3 − 3x^2 + 4
B. 2, 6, 0, −8; x^3 + 3x^2 − 4
C. 1, 3, 0, −4; x^2 + 3x − 4
D. 1, 1, −6, −4; x^3 + 3x^2 − 4
Answers
Morgan begins to use synthetic division to divide x4 + x3 − 6x2 − 4x + 8 by x − 2, as shown below. Which of the following shows the correct values to replace the question marks, and also gives the quotient?
A. 2, 6, 0, −8; x^3 − 3x^2 + 4
B. 2, 6, 0, −8; x^3 + 3x^2 − 4
C. 1, 3, 0, −4; x^2 + 3x − 4
D. 1, 1, −6, −4; x^3 + 3x^2 − 4
Answer is a
The correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
P(x) = x⁴ + x³ − 6x² − 4x + 8
P(x) = 1x⁴ + 1x³ − 6x² − 4x + 8
By the synthetic division, we have
2 ║ 1 1 − 6 − 4 8
2 6 0 − 8
1 3 0 − 4 0
x³ 3x² − 4
By the synthetic division, the correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.
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What is the slope of the line shown below?
Answers
1/6
Step-by-step explanation:
Answer:
B. 6
Step-by-step explanation:
(y1 - y2) ÷ (x1 - x2)
(6 - 3) ÷ (12 - (-6))
3 ÷ 18 = 6
hope this helps
have a good day
The triangle below is equilateral. Find the length of side a in simplest radical form
with a rational denominator.
Answers
By using the Pythagorean theorem, we conclude that side x measures (5/2)*√3 units.
How to find the length of side x?
In the image, we can see that the equilateral triangle can be divided into two right triangles.
If each side of the equilateral triangle measures 5 units, then for the right triangles we will have that the hypotenuse measures 5 units, and the bottom side measures half of that: 2.5 units.
Now remember the Pythagorean theorem. It says that the sum of the squares of the cathetus is equal to the square of the hypotenuse. Then we will have:
[tex]x^2 + 2.5^2 = 5^2[/tex]
[tex]x = \sqrt{5^2 - 2.5^2} = \frac{5}{2}\sqrt{3}[/tex]
Then we conclude that side x measures (5/2)*√3 units.
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Distribute to create an equivalent expression with the fewest symbols possible.
(1 - 25 +4h) - 5 =
Answers
Answer:
4h - 29
Step-by-step explanation:
[tex](1-25+4h)-5\\=(-24+4h)-5\\=(4h-24)-5\\=4h-24-5\\=4h-29[/tex]
You could also write this solution as [tex]-29+4h[/tex], but I just think [tex]4h-29[/tex] looks nicer :)
This is the question picture
Answers
Answer:
A = X
B=Z
C=Y
Step-by-step explanation:
As they are congruent, their corresponding angles are also congruent
Answer:
a)
angle a is congruent to angle x
angle b is congruent to angle z
angle c is congruent to angle y
b)
line ab is congruent to line xz
line ac is congruent to line xy
line bc is congruent to line zy
c)
triangle bca is congruent to triangle zyx
What two operations would you use to solve the equation 5x - 8=-18
-multiplication
-division
-addition
-subtraction
Answers
Answer:
subtraction
Step-by-step explanation:
5x-8+8=-18+8
5x=-10
5x/5=-10/5
x=-2
Answer:
addition and division
Step-by-step explanation:
5x - 8 = - 18 ( add 8 to both sides )
5x = - 10 ( divide both sides by 5 )
x = [tex]\frac{-10}{5}[/tex] = - 2
5. Which theorem justifies the statement in No. 4?
A. Exterior Angle Inequality theorem B. Triangle Inequality Theorem 1(Ss-Aa)
C. Triangle Inequality Theorem 2(Aa-Ss)
D. Triangle Inequality Theorem 3(S₁ + S₂ > S3)
Answers
Answer:
D
Step-by-step explanation :
HELP ME WITH THIS STORY PROBLEM SOMEONE
There are 5 posts supporting the guardrail for the steps to your home. The tallest post is 3 feet tall. The height of each of the other posts is 5/6 the height of the next larger post. Write an expression for the height of the shortest post. What is the height of the shortest post?
(also show work)
Answers
Answer:
3(5/6)^4
Step-by-step explanation:
The heights are changing by a constant factor. g1 is the first term, r is the common ratio, and n is the term number. Since the tallest pole is 3 ft so itll be g1=3. Heights are decreasing by 5/6 so r=(5/6). Since there are 5 posts shortest post will be n=5. Expression for the shortest pole is g5=3(5/6)^5-1 it simplifies to the answer
Rachel's nails grow at a rate of 1/8 inch per week. How long will take her nails to grow 6 inches?
Answers
Answer:
48 weeks
Step-by-step explanation:
This is a division problem.
6 / (1/8) = 6/1 × 8/1 = 48
Answer: 48 weeks
A television game show has 12 doors, of which the contestant must pick 2. Behind 3 of the doors are expensive cars, and behind the other 9 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins at least one car.
Answers
[tex]the \: answer \: is \: \frac{1}{10} [/tex]
[tex]\blue{———hope it helps———}[/tex]
[tex]\large{ \pink{ \underline{ { \sf{Answer}}}}}[/tex]
[tex]the \: answer \: is \: \frac{1}{10} [/tex]
For a standard-position angle determined by the point (x, y), what are the values of the trigonometric functions?
For the point (9, 12), find csc θ and sec θ.
A. csc θ = 5/4, sec θ = 5/3
B. csc θ = 5/4, sec θ = 4/5
C. csc θ = 3/5, sec θ = 4/5
D. csc θ = 3/4, sec θ = 3/5
Answers
The measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a standard-position angle determined by the point (x, y).
The point is (9, 12)
From the Pythagoras theorem, we can find the hypotenuse(h):
h = √(9²+12²)
h = 15
cscθ = hypotenuse/opposite = 15/12 = 5/4
secθ = hypotenuse/adjacent = 15/9 = 5/3
Thus, the measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
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What’s the Value of y and x
Answers
Answer:
x=86 y=111
Step-by-step explanation:
i think ita right on edmentum it makes sense
NEED HELP IM NOT SURE ILL GIVE BRAINLY !!! PLEASE SOMEONE
Answers
in simple terms, the domain of a function are the values of x that will give a real output
for y = x^2, you can plug in any number for x and get a real number result for y
The dance committee hired a DJ for the fall dance. The DJ charges
$125 per hour in addition to $55 for an assistant. The committee
wants to keep the total cost under $600. Which inequality represents
the maximum amount of hours the DJ will play at the dance?
Answers
Answer: 4 hours
Step-by-step explanation:
4 Hours
Explanation:
Make h = hours
You add the $55 extra cost for the assistant
$125h + $55 = $555
Use additive inverse to isolate the term with the variable
$125h + $55 - $55 = $555 - $55
Use multiplicative inverse to isolate the variable
[tex]\frac{125h}{125}[/tex] = [tex]\frac{500}{125}[/tex]
Hours would be: 4 Hours.
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Martina has 372 grams of shells.
Deandre has 45 grams of shells.
How many grams of shells do they have altogether?
Answers
Answer:
417
Step-by-step explanation:
372+45 = 417
Just add both gram values
An unfair coin is twice as likely to land "Heads" as "Tails". If the coin is tossed twice, what is the probability that it will land "Tails" both times?
Answers
Answer / 1/2
If n is an integer, what is the possible value of n for which 1,116n is the square of an integer? Explain.
E. 24
F. 28
G. 31
H. 33
Answers
Answer:
G.31
Step-by-step explanation:
when n = 31
1116n = 1116*31 = 34596
34596 is square of 186.
= 186^2
= 34596
and other values (24,28,33) of n does not give square during 1,116n but 31 gives.
Hence, 31 is the possible value of n for which 1,116n is the square of an integer(186).
Avani is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 21 meters from the building. The angle of elevation from her eyes to the roof ((point AA)) is 27^{\circ} ∘ , and the angle of elevation from her eyes to the top of the antenna ((point BB)) is 37^{\circ} ∘ . If her eyes are 1.54 meters from the ground, find the height of the antenna ((the distance from point AA to point BB)). Round your answer to the nearest tenth of a meter if necessary.
The answer is 5.1.
Answers
Answer:
Avani is the tiktoker everyone adores. however 49499 +4939+ 4969 is not the answer your looking for you. you have to subtract 39 from 129 to get the exact meters. and round it to the nearest tenth.
Step-by-step explanation:
Solve four and two fifths plus two and two thirds. (4 points)
six and one fifteenth
six and three fifteenths
seven and thirteen fifteenths
seven and one fifteenth
Answers
4 2/5 + 2 2/3 = 106/15 = 7 1/15
Answer:
7 1/15 ( mixed number )
Step-by-step explanation:
First, add...
4 + 2 = 6
Then as you can see you can't add when both denominators are not the same so multiply 5 and 3 and you get 15
Then do...
2/5 x 3/3 = 6/15
And...
2/3 x 5/5 = 10/15
Then add...
6/15 + 10/15 = 16/15
But this number is an improper fraction so the mixed number for it is...
1 1/15 + 6 = 7 1/15
So this gives us the final answer of 7 1/15 ( mixed number )
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Margo's parents started a savings account when she started highschool. They put in $12,500 to start. If the account earns 7% simple interest every year, How much will she have after 4 years?
Answers
Answer:
probably bout like 4 dollars
Step-by-step explanation:
For which shape is 180 degrees the smallest angle of rotational symmetry?
Answers
Answer:
the sun
Step-by-step explanation:
hope this helps
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
A or 2
Step-by-step explanation:
Reason:
The 5's cancel out leaving the 2 behind as the final answer.
Another way to look at it is that the 5*2 up top multiplies to 10, then we divide that by the 5 in the denominator to end up with 10/5 = 2
If you are a visual learner, then draw a circle and divide it into 5 equal slices. Do this a total of five times. Each pizza having 2 slices, and 5 pizzas total, gives 2*5 = 10 slices overall. These ten slices can be rearranged into making 2 full pizzas.
See below.
