In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.
Answers
Answer:
Step-by-step explanation:
Answer:
a). m∠a = 62°
b). m∠b = 118°
Step-by-step explanation:
a). Since, an angle inscribed in a semicircle is a right angle,
m∠ACB = 90°
By triangle sum theorem in ΔABC,
m∠CAB + m∠ACB + m∠ABC = 180°
28° + 90° + m∠ABC = 180°
118° + m∠ABC = 180°
m∠ABC = 180°- 118°
a = 62°
b). Since, quadrilateral ABCD is a cyclic quadrilateral,
m∠ADC + m∠ABC = 180°
b + a = 180°
b + 62° = 180°
b = 180° - 62°
b = 118°
Related Questions
Solve the equation 2/3(6x-3/2) = 3 - x Options: (A x=1) (B x = 1 1/4) (C x = 4/5) (D x =2/5)
Answers
Answer:
C x=4/5
Step-by-step explanation:
How many times can 4 go into 33
Answers
Answer:
8 but you would have a remainder of 1
Step-by-step explanation:
4x8 is 32 so 8 r1
The perimeter of a college basket ball court is 96 m and the length is 14m
more than the width. What are the dimensions?
Answers
width=17m
length= 31m
Step-by-step explanation:
width = x
length= x+14
perimeter = 96m
2(x+x+14)=96
4x+28=96
4x=68
x=17
width=17m
length= 31m
Mr. Garcia has been asked to give 6 desks to Mrs. Johnson. He needs to keep at least 17 desks for his students. He created a model to find x, the number of desks he must have in order to give 6 desks to Mrs. Johnson. Which inequality represents the model for this situation?
Answers
Answer:
The inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].
Step-by-step explanation:
Let Mr. Garcia has [tex]x[/tex] number of desks initially.
He has been asked to give [tex]6[/tex] desks to Mrs. Johnson.
Also, he needs to keep at least [tex]17[/tex] desks for his students.
So, after giving [tex]6[/tex] desks to Mrs. Johnson from the total number of desks he has, he must have at least [tex]17[/tex] desks for his students.
Therefore, the inequality is: [tex]x-6\geq 17[/tex].
Hence, the inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].
1 min left need help fast :(
Answers
Answer:
A: 4/10
Step-by-step explanation:
There a four numbers that are greater that 6 : 7,8,9,10
Since it is out of 10, the probability that the first person would choose a number greater than 10 is 4/10
please help me answer all of these
Answers
Answer:
y int:(0,8)
x int:-2&4
vertex:(1,9)
max y=9
axis of symetry x=1
domain: all real number
range: y less than or equal to 9
I GIVE BRAINLIEST MARKS I SWEAR rational functions, construct table values and sketch the graph of rational functions
Answers
Answer:
Download math)way it helps I swear
Step-by-step explanation:
Answer:Hope this is rght I only can answer the first
one.
Step-by-step explanation:
I’m not sure if it’s 1 but I know it’s not 3 and if you answer please Give an explanation!
Answers
Answer:
1
Step-by-step explanation:
if you substitute 1 in for x, you would see that 5 = 5
hope this helps!
Here is a triangle with some right triangles in it
Which triangles are similar to AED
Find the length of segment FA (Ef is 8 units and ED is 10 units)
Answers
Answer
5.33 units
Step-by-step explanation:
uh kakis
The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for plane A. The table represents the relationship for plane B. Find the slope of the graph for each plane and the plane's rate of speed. Determine which plane is flying at a faster rate of speed look at the picture please
Answers
Answer:
Plane A:
The rate of change or slope of function A is: m = 470
It means plane A is flying 470 miles per hour.
Thus, the rate of speed of plane A is 470 miles per hour.
Plane B:
The rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Thus, the rate of speed of plane A is 480 miles per hour.
Therefore, we conclude:
Plane B is flying faster.Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptPlane A
From the given equation
y = 470x
where
x is the time that plane flies in hours
y is the distance the plane flies in miles
Thus, comparing with the slope-intercept form y = mx+b
The rate of change or slope = 470
It means plane A is flying 470 miles per hour.
Plane B
Given the table
Time (h) 1 2 3 4
Distance (mi) 480 960 1440 1920
Finding the slope by taking any two points, let say, (1, 480) and (2, 960)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:480\right),\:\left(x_2,\:y_2\right)=\left(2,\:960\right)[/tex]
[tex]m=\frac{960-480}{2-1}[/tex]
Refine
[tex]m=480[/tex]
Therefore, the rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Conclusion:
Plane A:
The rate of change or slope of function A is: m = 470
It means plane A is flying 470 miles per hour.
Thus, the rate of speed of plane A is 470 miles per hour.
Plane B:
The rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Thus, the rate of speed of plane A is 480 miles per hour.
Therefore, we conclude:
Plane B is flying faster.What happens to a figure that is dilated by a factor of ½ .
Answers
Answer:
i really dont know
Step-by-step explanation:
Somebody pls answer this fast!!!!
A new novel is 540 pages. Emily has read 192 pages in 6 hours. Maria has read 170 pages in 5 hours.
a. Who reads faster, Emily or Maria?
b. How long will it take Maria to read the entire novel at her current rate?
Answers
Answer:
maria reads faster (34 pages in a hour compared to 32) and might finish around 15.88 hours
Step-by-step explanation:
i dont think the second part is right
When is the slope intercept form only y= mx and not y = mx+b?
Answers
Answer:
No Y-Intercept
Step-by-step explanation:
The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.
A sporting goods store sold 2.5 times as many footballs as basketballs last year. Drag to represent the number of footballs sold for every 2 basketball sold
Answers
Answer:
5 units of football
Step-by-step explanation:
Given that :
2.5 times as many footballs as basket balls is sold;
This means that ; for every unit of basketball sold 2.5 times that unit is the number of football sold ;
Hence, for every 2 basket balls sold, the number of units of football sold is ;
2 * 2.5 = 5 units
I need serious help, this is hard
Answers
======================================================
Explanation:
M is the midpoint of segment PQ. This means PQ is cut in half into two equal smaller pieces PM and MQ. We can say that PM = MQ.
Furthermore, we can say that PQ is twice as long as either piece, so
PQ = 2*PMPQ = 2*MQWe'll use the second equation to say the following:
PQ = 2*MQ
6x+56 = 2*MQ .... replace PQ with 6x+56
6x+56 = 2*(5x+8) .... replace MQ with 5x+8
6x+56 = 2*5x + 2*8 .... distribute
6x+56 = 10x+16
6x+56-10x = 16 .... subtract 10x from both sides
-4x+56 = 16
-4x = 16-56 ..... subtract 56 from both sides
-4x = -40
x = -40/(-4) ..... divide both sides by -4
x = 10
Once we know the value of x, we use it to find the length of PM
PM = MQ
PM = 5x+8
PM = 5*10+8
PM = 50+8
PM = 58
Note how PQ = 6x+56 = 6*10+56 = 116 is exactly twice as large compared to 58. In other words, 2*58 = 116. This confirms that PQ is twice as long compared to PM or MQ. This helps confirm we have the right answer.
A line with a slope of 1/3 passes through (-5,r) and (4,1) To make this work correctly, the value of r is?
Answers
Answer:
Add the 1/3 to look for the r
Step-by-step explanation:
good luck
Under his cell phone plan Jason pays a flat cost of $60.50 per month and four dollars per gigabyte he wants to keep his bill at $68.90 per month how many gigabytes of data can use while staying within his budget
Answers
Answer:
2 gigabytes of data
Step-by-step explanation:
Given
Amount Jason keeps per month = $68.90
Cost of flat per month = $60.50
Balance for data = 68.90-60.50
Balance for data = $8.40
If 1Gigabyte = $4
x = $8.40
Cross multiply
4x = 8.40
x = 8.40/2
x = 2.20
Hence Jason can only use 2 gigabytes of data while staying within his budget
Answer:
2.1 gigabytes
Step-by-step explanation:
DELTA MATH
Mackenzie practices the piano 609 minutes in 3 weeks. At what rate did she practice, in minutes per day?
Answers
Answer:
the answer is 29
Step-by-step explanation:
good luck! <33
Answer:
The answer is 203
Step-by-step explanation:
I started off by dividing 609 by 3 and your answer is on the top. You're welcome!!
3 definitions of slope
Answers
Choose the graph that is represented by the function:
y=- 63/4x2 + x4 - 4
Select one:
a. D
b. B
c. C
d. A
Answers
Answer:
is a. D.
Step-by-step explanation:
I hope you serve my answer and goodluck ^^
Please help i have no idea how to do this
given a polynomial and one of its factors find the remaining factors of the polynomial (5x^3-17x^2+6x);(x-3)
Answers
Answer:
x • (3x + 1) • (x + 2) • (2x - 3)
Step-by-step explanation:
A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?
Answers
Answer:
point slope form: y - 1 = 4 (x -2)
slope intercept form: y = 4x -7
Step-by-step explanation:
If you want it in point slope form it would be: y - 1 = 4 (x -2)
but if you want it in slope intercept form, you solve this equation
y -1 = 4 (x-2)
y-1 = 4x -8
+1 +1
y = 4x -7 in slope intercept form
PLS help me
if you get it right i will give brainliest
Answers
NEED THIS ASAP PLSSS HELP
Answers
Answer:
um
Step-by-step explanation:
um
HELP ME PLEASE!!!!!!!!!!!
Answers
The new club sticker is in the shape of a triangle. It has a height of 8 inches and a base of 10 inches. The area of the club sticker is square inches.
Answers
Answer:
Height (h)=8 in
Base(b)=10in
Area (A) of a triangle = 1/2*b*h
A=8in*10in=80in sqr
Step-by-step explanation:
The sticker is in triangular form so one has to Area of triangle formula: 1/2x base x height
Segments DE and AB are parallel
Answers
Answer:
yes segment DE and AB are parallel
Answer:
CB = (CE*AC)/CD
Which agrees with the second answer listed
Step-by-step explanation:
We use the proportion among similar triangles:
CE/CD = CB/AC
and solve for CB:
CB = (CE*AC)/CD
Which agrees with the second answer listed
(3^5)^2/3^-2
Simplify please
Answers
531441
Hope this was helpful
Answer: 531441
Step-by-step explanation:
3⁵*²/3⁻²=3¹⁰/3⁻²=3¹⁰⁻⁽⁻²⁾=3¹⁰⁺²=3¹²=531441is one plus one 15 please answer ASAP
Answers
Answer: no its 2
Step-by-step explanation:
lol
what is it plz ????????????