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
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
Read more about congruent angles at:
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When you say, "What is the difference between 'a' and 'b'," is 'a' being subtracted by 'b' or is 'b' being subtracted by 'a'?
Answer:
a-b
Step-by-step explanation:
The difference will usually be the first term subtracted by the second but it is the space/value between the numbers so technically you could just take the negative from b-a as -(b-a) and get the same value
The freight charge on a shipment of 1200 kg is $84. 0.
Which is the rate per 100 kg?
A $0. 78
B. $4. 00
C. $5. 70
D. $7. 00
E $10. 8
You and your friend are using ribbon to make cards. Your ribbon is 78 inch wide. Your friend's ribbon is 58 inch wide. How much wider is the ribbon you are using?
Answer:
20 inches longer
Step-by-step explanation:
78-58= 20
don't spam!! complete answe= Brainliest answer
Answer:
Step-by-step explanation:
1) [tex]\sf v_{f} =v_{i} +gt[/tex]
= 50 + (-9*8) *1
= 50 - 9.8
= 40.2 m/s
2) The acceleration of the ball at its maximum height equals to the force of gravity. -9.8 m/s²
3) The velocity at its top of the path:When the ball is thrown straight up, its velocity keeps on decreasing due the pull of gravity which pulls it towards the ground. So, the velocity at the top of its path is zero.
i don’t get it because my teacher
because your teacher doesn't teach you well??!
hope it helps...!!!
Help me pls I don't understand this pls help me! :I
350in^3 x 1 gal/231in^3
Answer:
3 1/16 galones = 707 pulgadas cúbicas
Step-by-step explanation:
Fórmula: multiplica el valor en gal por 231
Luego, 3 1/16 gal × 231 = 707 in³
On your own paper, graph the system of equations and identify the solution:
y = 3x - 4
y = 3x + 1
The equations y = 3x - 4 and y = 3x + 1 are linear equations
The equations have no solution
How to determine the solution of the equations?The equations are given as:
y = 3x - 4
y = 3x + 1
Next, we plot the graph of the equations y = 3x - 4 and y = 3x + 1
From the graph (see attachment), we can see that the equations do not have a point of intersection
Hence, the equations has no solution
Read more about linear equations at:
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while on vacation Ernesto travelled from us to Europe when he got there he converted his american dollar to euros he gave the bank teller 850$and was given back 630 euros at the end of vacation Ernesto has 150 euros to convert back to dollar how much money in us dollar did Ernesto have when he got home
Answer:
I think it would be 161.9 or 162
9)Which expression is equivalent to 3(2x + 5), no matter what value is substituted in for x?
A) 5x + 8
B) 5x + 5
06x+5
D) 6x + 15
Answer:
D) 6x+15 is the correct answer.
Step-by-step explanation:
You need to do distributive property to simplify the expression.
3(2x+5) is your expression
You need to multiply 3 by 2x and 5
6x+15 is your final.
Therefore, D is the correct answer.
Costs of Attendance
Category Dollar Amount
Annual Tuition and Fees $9,134.00
Annual Room and Board $3,415.00
Annual Cost of Books and Supplies $1,225.00
Other One-Time Fee $750.00
Annual Scholarship and Grants $10,550.00
Using the information from the table, identify the equation in slope-intercept form that models the total cost of attendance. (1 point)
y = 13,774x + 750
y = 14,524x
y = 3,224x + 750
y = 3,974x
Answer:
y = 3,224x + 750
Step-by-step explanation:
Assuming the scholarship and grants are applied using the slope intercept form y=mx+b where m is the slope in this case the cost per year attending x the number of years attended and b the y intercept which in this case is the one time fee subtracting 13,774 by 10,550 gives us 3,224.
Since the one time fee is only in place once that would make it the y intercept therefore y=3,224x+750 is the correct answer
hey guys is this correct?
Is it A,B,C,D ??????
Answer:
Options A, B & D
Step-by-step explanation:
[tex]5-2\frac{3}{4} =\frac{20}{4} -\frac{11}{4} =\frac{9}{4} =2\frac{1}{4}[/tex]
Hope tis helps
Rebekah finds that a solution of sugar in water has a volume of 1.32 fl. oz. how should she report this amount using the metric system? (1 fl. oz. = 29.6 ml) 0.403 m 1.40 qt 37.5 g 39.1 ml
Rebekah reports the volume of sugar solution using metric system as 39.1 mL. Thus, option D is correct.
What is metric system?The metric system has been the measurement system introduced in 1790s. The system has mediated the units for the measurement of volume, mass, length.
The volume has been the space that has been occupied by matter. The volume can be denoted with SI unit L. However, the another accepted unit for volume has been mL.
Thus, the volume of sugar solution has been reported in mL.
The given sugar solution has volume of 1.32 fl. Oz
The volume in mL can be given as:
[tex]\rm 1\ fl\ oz=29.6\ ML\\\\1.32\ fl\ oz=-1.32\times 29.6\ ML\\\\1.32\ fl\ oz=39.1\ ML[/tex]
The volume of the sugar solution reported by Rebekah on the metric scale has been 39.1 mL. Thus, option D is correct.
For more information about the metric system, refer to the link:
brainly.com/question/25011390
Answer: 39.1 mL (D)
Step-by-step explanation:
ed
customer pays
$
96
for
6
pillows. If each pillow costs the same amount, what is the cost per pillow, in dollars?
Answer:
96 / 6 = 32 / 2 = 16 / 1 = 16 per pillow
Step-by-step explanation:
Answer:
$16
Step-by-step explanation:
To find the cost of a single pillow, you have to divide the total cost of the pillows ($96) by the number of pillows purchased (6).
96 / 6 = 16
Therefore, the cost per pillow, in dollars, is $16. I hope this helps! Have a lovely day!! :)
Two-step inequalities
Find the solution set of the inequality
4.2 - 1< 11.
Answer:
x < 3
Step-by-step explanation:
Your inequality: 4x - 1 < 11
4x - 1 < 11
Add 1 to both sides
4x < 11 + 1
4x < 12
**Don't switch signs because no negatives nor any specifications**
Divide 12 by 4
x < 3
HELPPPP RIGHT NOW FOR BRAINLEST!!!!
A circle's radius is 8 inches.
What is the circle's circumference (use 3.14 for pi and round to the
nearest tenth)?
PLS HELP!!!! No links pls and ty <3
The circumference of a circle with radius 8 inches is 50.2 inches
How to find the Circumference of a circle?The circumference of a circle can be calculated as follows;
circumference of a circle = 2πr
where
r = radiusTherefore,
circumference of a circle = 2 × 3.14 × 8
circumference of a circle = 16 × 3.14
circumference of a circle = 50.24 inches
circumference of a circle = 50.2 inches
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log4(2-x)=log4(-5x-18)
[tex]\log_4 (2-x) = \log_4 (-5x-18)\\\\\implies 2-x = -5x -18\\\\\implies 5x -x = -18-2\\\\\implies 4x = -20\\\\\implies x = -\dfrac {20}4\\\\\implies x = -5[/tex]
Help me put the inequality on the number line!
Answer:
3 with an arrow pointing to the left
Step-by-step explanation:
Solve for h. -18 + h = 28
h=10
Answer:
h = 46
Step-by-step explanation:
Have unknowns (h) on one side and knowns on other side.
-18 + h = 28 Add 18 on both side to move it to the right side.
h = 28 + 18
h = 46
Answer:
[tex]\boxed{\sf{h=46}}[/tex]Step-by-step explanation:
Isolate the term of h from one side of the equation.
-18+h=28First, switch sides.
⇒ h-18=28
Add by 18 from both sides.
⇒ h-18+18=28+18
Solve.
Add the numbers from left to right.
⇒ 28+18=46
⇒ h=46
Therefore, the correct answer is h=46.I hope this helps! Let me know if you have any questions.
HELP!!!
Solve 2√x-4=10.
What is the solution for x?
Answer:
x=29
Step-by-step explanation:
divide by 2 first on both sides.
then put paranthesis on both sides and power it to the 2nd.
you get
(x-4)^2=5^2
simplify and you get x-4=25
add 4 on both sides and you get x=29!
Susan mixes red and blue paint to make purple.
Red
2 parts of red paint with 3 parts of blue paint make purple.
Susan has 50 ml of red and 100 ml of blue.
What is the maximum amount of purple she can make?
Answer:
125 mL
Step-by-step explanation:
Susan's purple paint has the proportions 2 parts red and 3 parts blue. That means the total amount of paint is (2+3)/2 = 5/2 the amount of red paint, or (2+3)/3 = 5/3 the amount of blue paint.
__
The total amount of paint Susan has is 50 mL +100 mL = 150 mL.
If Susan uses all of her red paint (with sufficient blue paint), she would have an amount of purple paint equal to ...
(5/2)(50 mL) = 125 mL . . . . purple paint
If Susan uses all of her blue paint (with sufficient red paint), she would have an amount of purple paint equal to ...
(5/3)(100 mL) = 166 2/3 mL . . . . purple paint
This is more paint than Susan has, so the amount of purple paint Susan can make is limited by the amount of red paint she has. Susan can make a maximum of 125 mL of purple paint.
_____
Additional comment
Essentially, we have rewritten the proportion to show corresponding amounts of red and blue paint:
red : blue = 2 : 3 = 50 : 75 = 66 2/3 : 100
Since Susan has only 50 mL of red, and more than 75 mL of blue, the red paint is the limiting ingredient.
If a box of anything is £5. 50 for 1kg, what would 320g cost?
Answer:
Your answer is £1,760
Step-by-step explanation:
1 kg = £5.50
5.50 x 320 = 1,760
Mrs. G bought 6 boxes of Girl Scout Cookies. 3 boxes had 16 cookies each and 2 boxes has 12 cookies each. If the total number of cookies in all 6 boxes is 102. how many cookies are in the last box? Write an equation to solve.
If (x k) is a factor of f(x), which of the following must be true? f(k) = 0 f(–k) = 0 a root of f(x) is x = k. a y intercept of f(x) is x = –k.
A root of f(k) is x=k. Option C is correct.The numbers we're multiplying are factors of the product since they're divisible by it.
What is a factor?A number is obtained by dividing another number by itself without leaving a leftover. To put it another way, if multiplying two whole numbers produces a product,
The factor of the f(x) is given as;
[tex]\rm (x+k)[/tex]
The factors satisfy the equation as;
[tex]\rm (x+k)=0 \\\\ x=-k[/tex]
Hence one root of f(x) is x = -k, The correct answer is option C.
To learn more about the factors refer to the link;
https://brainly.com/question/24182713
Answer:
Option C
Step-by-step explanation:
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
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:
te in short form: 4 hundreds + one ten + 7 ones = 7 hundreds + 2 ones = 9 hundreds + 2 tens + 6 ones =
The base is a square, 4.5 on a side. The height is 5cm
Looking for the volume, help!
Answer:
Given :-
Length and Breadth = 4.5 cmHeight = 5cmTo Find :-
Volume of the shapeSolution :-
Volume = l ×b ×h /3
putting the known values ,Volume = 4.5 × 4.5 × 5 cm/3³
Volume = 101.25/3 cm³
Volume = 33.75 cm³
Answer:
Volume = 33.75 cm³Step-by-step explanation:
After reading question we can understand that the all these measurements are of pyramids .
So In the question we are given ,
Base of square = 4.5 cmHeight of pyramid = 5 cmWe know that in pyramid length and width are equal to base of a square . Therefore ,
Length of pyramid = 4.5 cmWidth of pyramid = 4.5 cmFormula :[tex] \rightarrow \blue{\boxed{ \sf{Volume \: of \: pyramid = \frac{lwh}{3} }}}[/tex]
Where ,
l refers to length of pyramidw refers to width of pyramidh refers to height of pyramidNow , substituting values of l , w and h :
[tex] \longmapsto \: \frac{4.5 \times 4.5 \times 5}{3} [/tex]
Now , by multiplying 4.5 , 4.5 and 5 , We get :
[tex] \longmapsto \: \frac{101.25}{3} [/tex]
Now , by dividing 101.25 by 3 , We get :
[tex] \longmapsto \: \red{\boxed{33.75}}[/tex]
Therefore , volume of pyramid is 33.75 cm³ .#Keep Learningignore the scribble but could somebody please help me?
Answer:
Below in bold.
Step-by-step explanation:
To get a stratified sample you work out the proportion of girls from each school.
From school A we take: (126/461) * 80 = 22 girls.
From B :- (82/461) * 80 = 14 girls.
From C :- (201/461)*80 = 35 girls
From CD :- (52/461)*80 = 9 girls.