In circle k(O),
AC is a diameter,
AB is a chord, and
MA is tangent to the circle. Angle ∠MAB is acute. Prove that m∠MAB=m∠ACB
Answers
The circle and the lines AC & AB are illustrations of congruent angles
See below for the proof that the angles ∠ACB and ∠MAB are equal
How to prove that ∠MAB=∠ACBTo prove that ∠MAB=∠ACB, we make use of the attached diagram
From the attached diagram, we have:
∠MAB = x°
The angle at between a tangent and a radius or a diameter is a right angle.
This means that:
∠MAB + ∠BAC = 90°
Substitute ∠MAB = x°
x° + ∠BAC = 90°
Subtract x from both sides
∠BAC = 90° - x°
The angle at in a semicircle is a right angle.
This means that:
∠CBA = 90°
The angles in a triangle add up to 180°.
So, we have:
∠BAC + ∠CBA + ∠ACB = 180°
Substitute ∠CBA = 90° and ∠BAC = 90° - x°
90° - x° + 90° + ∠ACB = 180°
Evaluate the like terms
180° - x° + ∠ACB = 180°
Subtract 180° from both sides
- x° + ∠ACB = 0
Add x° to both sides
∠ACB = x°
Recall that:
∠MAB = x°
So, we have:
∠ACB = ∠MAB = x°
Hence, the angles ∠ACB and ∠MAB are equal
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Related Questions
A roof is constructed as shown. What is the length of the slope of the roof? Round to the nearest 10th
Answers
Answer:
Length of slope = 15.8 yd
Step-by-step explanation:
using Pythagoras theorem,
?² = 13² + 9²
?² = 169 + 81
? = √250
? = 15.8 yd
Step-by-step explanation:
According to Pythagoras theorem ,
Hypotenuse ² = Perpendicular ² + base ²
Here , we have to find the hypotenuse
perpendicular = 13ydbase = 9ydputting the known values ,
Hypotenuse² = (13yd)²+ (9yd)²
Hypotenuse² = 169+81
Hypotenuse² = 250 yd
Hypotenuse = √250 yd
Hypotenuse = 15.8 yd
The weights of hummingbirds are given below in ounces. Show whether the mean or the median is a better choice for a “typical” hummingbird’s weight and calculate it.
Data in order : 4, 5, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11
Answers
Since the data-set contains outliers, the median is a better choice, and it is given of 10 ounces.
When to use the mean or the median?It depends if the data-set contains outliers or not.
If it does, the median should be used.Otherwise, the mean should be used.In this problem, the weights of 4 and 5 ounces are outliers, hence the median should be used. There are 19 values, hence the median will be given by the 10th value, which is 10. Hence the median is of 10 ounces.
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What is the product of 5/8 x 3/4 A 8/32
B 15/32
C 8/12
D 15/12
Answers
B
15/32
Need an explanation?
Just multiply across
Which function has a range of {y|y ≤ 5}? f(x) = (x – 4)2 5 f(x) = –(x – 4)2 5 f(x) = (x – 5)2 4 f(x) = –(x – 5)2 4
Answers
The function range of {y|y ≤ 5} is f(x)=-(x-4)^4+5.
Since the range has less than a sign, this means that the parabola is
facing downwards and it means that a is negative.
The range is given by
[tex]{y|y \leq k}[/tex]
What is the vertex form of a quadratic equation?[tex]f(x)=a(x-h)^2+K[/tex]
Since the range is
[tex]{y|y \leq 5},[/tex]
This means that k = 5 , and since a is negative
The correct function is
[tex]f(x)=-(x-4)^4+5[/tex]
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Answer: B: (f(x) = –(x – 4)2 + 5)
Step-by-step explanation:
Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7
Answers
congruent angles are of similar measures
congruent angles that are congruent to ∠7:
∠6 ( vertically opposite angles )∠3 ( corresponding angles )∠2 ( alternate interior angles )See how
<7+<5 are linear pairs<5+<3 are also linear pairsFrom both
<7 and <3 are equal(Corresponding angles)Similarly
<7 nd <6 are equal (Opposite angles)And
<6 and <2 are corresponding and equal so
<7 and <2 are equal$21.46 Divided By 37 I want the solution and the answer
Answers
Answer:
[tex] \frac{21.46}{37} = 0.58[/tex]
[tex]answer:$0.58[/tex]
Explain how this shows that you can multiply numbers in any order and get the same answer.
Answers
Answer:
i dont see the problem but lets say you have 19*8*15
Step-by-step explanation:
19*8=152*15=2280
8*15=120*19=2280
any way you multiply them their always gonna add up to the same thing
Miguel has a kite shaped like a rhombus. The two diagonals measure 10 inches and 3 inches. What is the area of the kite?
Answers
Answer:
15
Step-by-step explanation:
26 Inches!
10 + 3 = 13
13 + 13 = 26 (10 + 10 + 3 + 3)
Please help I will give
BRAINLY
5 STARS
and a THANKS
Answers
Answer:
19, 39
Step-by-step explanation:
10 colums w/ 2 rows = 20 with 1 non blue = 19 blue blocks
20 columns w/ 2 rows = 40 with 1 non blue = 39 blue blocks
don't spam!! complete answe= Brainliest answer
Answers
Answer:
Step-by-step explanation:
1) [tex]\sf v_{f} =v_{i} +gt[/tex]
= 50 + (-9*8) *1
= 50 - 9.8
= 40.2 m/s
2) The acceleration of the ball at its maximum height equals to the force of gravity. -9.8 m/s²
3) The velocity at its top of the path:When the ball is thrown straight up, its velocity keeps on decreasing due the pull of gravity which pulls it towards the ground. So, the velocity at the top of its path is zero.
5. Find the Mean Absolute Deviation of the set: 56, 21, 55, 30, 34
Answers
Answer:
[tex] mean = \frac{56 + 21 + 55 + 30 + 34}{5} \\ mean = 39.2[/tex]
When a tangent line and a radius intersect on the surface of a circle,
which of the following holds true?
Answers
Answer:
c
Step-by-step explanation:
When a tangent line intersects with a radius of a circle at the point of tangency, they will be perpendicular. Tangent lines that meet two different circles. Since a tangent line is perpendicular to the radius of the circle, extend the radius outside of the circle.
Please help I am confused:)
Answers
Step-by-step explanation:
#CARRY ON LEARN
PA BRAINLIEST PO
Jake's net pay is $160.65 after deductions of $68.85. He makes $8.50 per hour. how many hours did he work?
Answers
Answer:
27 hours
Step-by-step explanation:
160.65 = 8.50x-68.85
x=27
Calculate the perimeter of the shape below
Answers
Answer:
21.2
Step-by-step explanation:
4.1 + 6.5 = 10.6
10.6 x 2 = 21.2
PLS PLS PLS PLS HELP WITH THIS MATH
Answers
Answer:
Step-by-step explanation:
Sequence 1 Sequence 2 Ordered Pair
9 5 (9,5)
11 8 (11,8)
13 11 (13,11)
15 18 (15,18)
17 20 (17,20)
What’s the distance between the points (-4,3) and (1,-2) on the cord I ate plane
Answers
Answer:
[tex]5\sqrt{2}[/tex] or 7.07 (rounded to hundredths place)
Step-by-step explanation:
what is the "cord I ate plane"?
A 10 ft extension ladder is positioned to reach 7.4 ft up a wall. How far from the wall is the foot of the ladder.
Answers
Answer:First, draw a picture.
Distance on ground = 10 feet
Length of ladder (hypotenuse) = x [unknown for now]
Height on wall = x-2
The Pythagorean theorem says, for a right triangle: a2+b2=c2
[note: the hypotenuse, c, is always the longest side]
102 + (x-2)2 = x2
100 + x2 -4x + 4 = x2 [expand using F-O-I-L]
100 -4x + 4 = 0 [subtract x2 from both sides]
104 - 4x = 0 [collect terms]
-4x = -104 [subtract 104 from both sides]
x = 26 [divide both sides by (-4)]
Check:
Is 102 + 242 = 262 ?
100 + 576 = 676 ?
676 = 676 ?yes
Step-by-step explanation:
Which transformation or sequence of transformations would produce an image that is not congruent to its pre‐image?
A translation of (x − 2, y + 9)
A translation followed by a rotation
A rotation of 270 degrees about the origin
A dilation followed by a translation
Answers
Answer:
A dilation followed by a translationStep-by-step explanation:
A dilation would change the size of the figureHence, on changing it, the transformation will form an image that is not congruent to its pre-imageThe transformation or sequence of transformations that would produce an image that is not congruent to its pre-image is:
A dilation followed by a translation.
If we follow a dilation with a translation, the image will be both resized and shifted. The combination of these transformations will result in an image that is not congruent to its pre-image.
On the other hand:
A translation of (x − 2, y + 9) will shift the object without changing its size or shape. The resulting image will be congruent to the pre-image.
A translation followed by a rotation can result in a congruent image if the rotation angle and translation distance are appropriately chosen. It depends on the specific values used in the transformation.
A rotation of 270 degrees about the origin will preserve the shape and size of the object. The resulting image will be congruent to the pre-image.
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what is the inequality shown
Answers
Answer:
[tex]-2\leq x < 8[/tex]
Step-by-step explanation:
It is between -2 and 8, and includes -2 but not 8
PLEASEEE HELPPP 30 POINTSSS!!!
Professor Plum is putting a brick border around his irregular shaped garden. Before installing
the border, Professor Plum must cut the bricks to fit the angles of the garden. Use the given
measures to answer the question.
∡ = (6)°
∡ = (3 + 45)°
∡ = (7)°
∡ = (4 + 2)°
∡ = (2 + 15)°
∡ = ( − 9)°
What are the angle measures of each vertex of the garden? Show your work.
Answers
Answer:
174; 132; 203; 118; 73; 20°.
Step-by-step explanation:
1) the sum of the internal angles of the given figure is:
S=180*(n-2), where 'n' is number of the angles.
2) according to the rule above the sum of all the internal angles is 720°;
3) according to the item 2, m∠A+m∠B+m∠C+m∠D+m∠E+m∠F=720°. If all the angles are known, then it is possible to re-write this equation as:
6x+(3x+45)+7x+(4x+2)+(2x+15)+(x-9)=720;
23x=667; ⇔ x=29.
4) if x=29, then m∠A=174; m∠B=132; m∠C=203; m∠D=118; m∠E=73; m∠F=20°.
Which equations represent nonlinear functions?
y= 2x + 7
y= 6(x-1)
y= x2+ 2
y=-5/x
Answers
Answer:
y = x² + 2
y = -5/x
Step-by-step explanation:
Linear & Nonlinear Definition:
Linear is something that is associated with a straight line such as linear equation or function. That means the highest degree of equation has to be 1 or only x.Nonlinear is something that does not form a line graph such as parabola, cubic, exponential, etc.From choices:
Both y = 2x+7 and y = 6(x-1) are linear because they have highest degree as 1 which is only x and these equations are known as linear function.However, both y = x²+2 and y = -5/x are nonlinear because y = x²+2 forms parabola which is a curve graph and also has highest degree of 2. As for y = -5/x, this is called fractional function which also forms curve graph and the degree of this equation is -1 via law of exponent.Therefore, y = x²+2 and y = -5/x are nonlinear.
a construction crew is lengthening a road
Answers
Answer:
Step-by-step explanation:
possible answers for both domain and range can be the following:
all set of all real numbers from 0 to 90;
all set of all real numbers from 200 to 560;
all set of all real numbers from 4 to 200;
(90, 91, 92, 93, ..... 560) ;
90, 91, 92, 93, .......; or
0, 1, 2, 3, .... 200
The two cones below have the same radius, height, and volume. are the two cones congruent? explain and include details to support your claim.
Answers
The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
The two cones below have the same radius, height, and volume.
One cone is oblique.
The cones have different slant heights.
The lengths of all corresponding edges are not equal.
Since, Congruent cones must have congruent corresponding measures, including slant height.
The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.
Learn more about congruent;
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Answer:
Sample Response: The cones are not congruent because one cone is oblique, which makes the length of the slant heights different. Having the same radius, height, and volume does not make the cones congruent when the corresponding slant heights are not equal. Congruent cones must have congruent corresponding slant heights, with all other corresponding parts being congruent.
What did you include in your response? Check all that apply.
One cone is oblique.
The cones have different slant heights.
The lengths of all corresponding edges are not equal.
Congruent cones must have congruent corresponding measures, including slant height.
Explain the difference between acute, right, and obtuse angles.
Source
StylesFormatFontSize
Answers
Answer:
Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.
Step-by-step explanation:
Answer:
Skip to the bottom for image examples, read on for definitions.
Acute angles are angles less than 90 degrees.Right angles are exactly 90 degrees.Obtuse angles are 91 degrees or more.For example, I sliced a pie, and it was an acute angle. Or I could have bought a taco and that taco has an obtuse angle, while if I just picked up a mini-square-cake, it is made of many right angles. And yes, I did draw those images myself as examples.
________________________________________________________
Look around you, there are angles everywhere! Your computer might even have a few acute and right angles in it.
________________________________________________________
What have we learned?We learned the three main types of angles.
Related questions? Ask me in the comments box.
Hello, for those who wanted examples, you have reached the bottom. Please view the images for the examples of each angle type, definitions are not listed on purpose, I want you to guess them yourself as an easy review.
Mark bought a drink for $2. 39 and chips for $1. 89. If he pays with a $20 bill, how much change will he receive?
Answers
Explanation:
This is because you add $2.39 and $1.89. Then you subtract the total from $20.00.
20.00 - 4.28 = 15.72
Please help me it's very important that this gets done asap
Answers
Answer:
√32 or 4√2 or 5.657 (3 d.p.)
Step-by-step explanation:
Use Pythagoras’ Theoremd² + 7² = 9²Evaluate the known squaresd² + 49 = 81Subtract 49 from both sides to make d² the subjectd² = 81 - 49 = 32d = √32 = 4√2 = 5.657 (3 d.p.)Which word in this excerpt from "Places" by Sara Teasdale connotes a soothing feeling?
1. Hush
2. Flaming
3. Fired
4. Desired
Answers
Answer:
1. Hush
Step-by-step explanation:
Answer:
The answer should be D.) Desired.
Step-by-step explanation:
The definition of soothing is "having a gently calming effect",
A.) Hush, which in most cases is negative,
B.) Flaming, does not sound gentle OR calming,
B.) Fired usually comes from a negative impact, so your answer MUST and SHOULD be, D.) Desired.
Mr. Fowler's science class grew two different varieties of plants as part of an
experiment. When the plant samples were fully grown, the students
compared their heights.
Plant
variety
Mean Mean absolute deviation
(inches)
Helght of plant
(inches)
20, 17, 19, 18, 21
13, 18, 11,9,14
19
1.2
Variety A
Variety B
13
2.4
Based on these data, which statement is true?
O A. The height of a plant from variety B is likely to be closer to the
mean
B. Plants from variety A always grow taller than plants from variety B.
C. The maximum height for plants from variety B is greater than for
variety A
O D. The height of a plant from variety A is likely to be closer to the
mean
Please help who ever answers first and the answer is correct will get brainlist please help fast!!!!
Answers
Answer:
B. plant from variety Always grow taller than plant from variety B
Michael solved this inequality as shown:
Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x > -1
What property justifies the work shown between step 3 and step 4?
A.
transitive property
B.
division property of inequality
C.
distribution property
D.
addition property of inequality
Answers
Answer:
D. addition property
Step-by-step explanation:
at step 3 you would have to add 8 to both sides of the inequality, so it would be the addition property
Answer:
D
Step-by-step explanation: