Find the value of the lettered angles in each of the following ( see image ).
Please show workings.
The only given angles are 60° , 10° , 40°
Answers
Answer:
Step-by-step explanation:
s + 40 + 60 = 180 {angle sum property}
s + 100 = 180
s = 180 - 100
s = 80
This figure is a cyclic quadrilateral. sum of opposite angles are 180
s + v + 60 + 10 = 180
80 + v + 60 + 10 = 180
v + 150 = 180
v = 180 - 150
v = 30
y+ 10 + v = 180 {angle sum property}
y + 10 + 30 = 180
y + 40 = 180
y = 180 - 40
y = 140
9514 1404 393
Answer:
r = 80°, s = 80°, t = 10°, u = 60°, v = 30°
Step-by-step explanation:
Working clockwise from the left side, we can name the points on the circle as A, B, C, D. The given inscribed angles are half the measure of the arcs they intercept, so we have ...
arc BD = 2×40° = 80°
arc DA = 2×60° = 120°
arc CD = 2×10° = 20°
From these measures, we can deduce the measures of the individual arcs as ...
arc AB = 360° -BD -DA = 360° -80° -120° = 160°
arc BC = BD -CD = 80° -20° = 60°
Then the angle measures of interest are ...
r = AB/2 = 80°
s = AB/2 = 80°
t = CD/2 = 10°
u = DA/2 = 60°
v = BC/2 = 30°
Related Questions
Find the equation of the line
Use exact numbers
y=*blank*x+*blank*
Answers
The equation of a line is in something called slope intercept form. That looks like y = mx + b. m represents the slope (measure of how steep a line is, and in which direction it is going) and b represents the y intercept (y coordinate when x = 0). You need to find the slope and y intercept to complete the equation.
First, find the slope. The formula for slope is: m = (y2 - y1)/(x2 - x1) where m is the slope and (x1, y1) and (x2, y2) are points.
Pick any two points on the graph. I will use (-2, 0) and (0, 4). Now use these values to find the slope.
m = (4-0)/(0+2) = 4/2
m = 2
m = 2 means that for every two units the line goes up on the y axis, it moves one to the right on the x axis. 2 will go in your first box.
Now find the y intercept. The y intercept is where the line crosses the y axis - it is the y coordinate when x = 0. Here when x = 0, y = 4, so your y intercept is at 4. 4 goes into your second box.
The equation is y = 2x + 4
(12x-22) (10x-6) (7x+18)
Answers
if you click the image it will show you how to solve the equation. and give you the answer.
Find m Please let me know if you could help me, with any more questions. I’m struggling in geometry. I wanna get back to doing sports again!
Answers
9514 1404 393
Answer:
∠C = 48°
Step-by-step explanation:
The two triangles are congruent by ASA. (The common side BD is between the angles marked congruent.) This means angles A and C have the same measure.
Angle A plus the two given angles will total 180°.
∠A = 180° -70° -62° = 48°
∠A = ∠C = 48°
Answer:
c=48°
Step-by-step explanation:
...............
Sara and Melissa are best friends. Sara is 3 years older than
Melissa. Their combined age is 15. How old is Sara?
ΟΑ. 12
OB. 9
ОC. 3
OD. 6
Answers
Melissa is 6
Sarah is 9
6+9
15
HELP DUE IN 5 MINS!
x=??
y=??
Answers
Answer:
x = 55
y = 45
Step-by-step explanation:
In similar triangles, the ratio between similar sides are the same. So,
AB/ED = BC/EF = AC/DF
Substitute values that they give
6/15 = 18/y = 22/x
Solve 6/15 = 18/y by cross-multiplying
6y = 15*18 = 324
Divide both sides by 6
y= 45
Solve 6/15 = 22/x by cross-multiplying.
6x = 22*15 = 330
Divide both sides by 6.
x = 55
Because there is some dispute between the answers, let's check the ratios.
6/15 = 18/45 = 22/55
0.4 = 0.4 = 0.4
True, x = 55 and y=45
since triangle abc~ def
their sides will be proportional
AB/de=ac/df
6/15=22/x
doing crisscrossed multiplication
6x=22×15
x=22×15/6=55
again
AB/de=BC/EF
6/15=18/y
doing crisscrossed multiplication
6y=15×18
y=15×18/6=15×3=45
1. Factorise the expressions.
a
2a2 + 2ad + 2ac - ab - bd - bc
Answers
please help me find the circumference and area
Answers
Answer:
Area is 1384.74
Circumference is 131.88
Step-by-step explanation:
42 ÷ 2 = 21
21 = radius
C=2(pie sign lol)r
2×3.14×21
131.88 ^
A= 3.14r^2
21×21 = 441
3.14×441
1384.74^
4.
In a rectangle the ratio of length to width is
3:1. What is the width of the rectangle if
its length is 12 cm?
I NEED HELP NOW FAST PLEASE THE CORRECT ANSWER I AM ONLY IN FORM 1
Answers
Answer:
i need help please with my maths
Step-by-step explanation:
If 7 books cost $490, what is the cost of one dozen books
Answers
Answer:
$840 for a dozen
Step-by-step explanation:
Find out the cost for one book. Then multiply that number by 12 (dozen).
Answer:
840
Step-by-step explanation:
490 ÷ 7 = 70
70 x 12 = 840
TRUE OR FALSE
The associative property for addition is used in adding and subtracting numbers in expanded form.
Choices:
A) The statement is false because it is the commutative property that is used, not the associative.
B) The statement is true.
C) The statement is false because it is the distributive property that is used, not the associative.
D) The statement is false because it is the reflexive property that is used, not the associative.
Answers
Answer:
A or B! Im not sure which one but B
Step-by-step explanation:
pls help :))))))))) uhhhhhhhhh
Answers
The answers are 3 and -13
You need to plug 3 and -5 into x
By doing this, you get :
12 - 3^2 and
12 - (-5)^2
those expressions equal
12 - 9
12 - 25
So you get
3
-13
HELP PLS!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
the solutions are options: 2, 3, 4
PLSSSSSSSS HELP URGENT
Answers
Answer:
C
Step-by-step explanation:
180 - 118 = 62
Hopefully this helps- let me know if you have any questions
2
McCoy's parents start a bank
account for him with $200.
His parents agree to pay him $30 a I
week to clean the house and mow
the lawn. Write an equation he could!
use that will show the total amount
saved (y) and the number of weeks
works(w).
Answers
Answer:
The ideal equation form to write this in would be "y=mx+b" because it involves a starting amount (which is represented by "b") and a certain constant amount of something ("m") being fed into that starting amount over time ("x" which will be substituted for "w" because the math problem wants us to substitute). Plugging in the number's you get:
y=30w+200
Step-by-step explanation:
y---> total amount saved after plugging in all numbers including time
m--> amount of money/stuff being added to the starting point over time
x---> can represent time, or basically any independent variable that decides how long has the stuff been being fed into the overall number
b---> the starting point (in this case it is 200, in other cases it can be anything, even a negative number)
Have a wonderful day!
Stay safe, stay loved, stay blessed. :)
what can run but never walks, has a mouth but never talks, has a head but never weeps, has a bed but never sleeps?
============================================================
this is a riddle I know the answer but I just want to see peoples answer :)
Answers
Answer:
A river?
Step-by-step explanation:
Divide 45 pens between devika bhoomika in the ratio 4:5
Answers
Answer:
20:25
Step-by-step explanation:
add how many parts (4+5=9)
45/9=5
4*5=20, 5*5=25
therefore, 20:25
A vacation resort offers surfing lessons and parasailing. If a
person takes a surfing lesson and goes parasailing, she will pay
a total of $175. On Friday, the resort collects a total of $3,101 for
activities. How much does each activity cost?
Answers
After solving the equations, the cost of parasailing will be 99.75 and the cost of surfing will be equal to 75.25.
What is an Expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.
Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
The given information in the question is,
Assume the cost of parasailing is x and the cost of surfing is y.
x + y = 175
Total number of people in Parasailing = 16 people
Total number of people in Surfing = 20 people
Total collection done by resort = $3,101
16x + 20y = 3,101
So, the equations will be,
16x+20y=3,101 (i)
x + y = 175 (ii)
Now, multiply the equation (ii) by 16 and solve the equation,
16x+20y=3,101
16x+16y= 2,800
4y = 301
Now, find the value of y,
y = 301/4
y = 75.25
Then, the value of x will be equal to,
x + y = 175
x+75.25 =175
Solve for x:
x=175-72.25
x = 99.75
To know more about expression:
https://brainly.com/question/14083225
#SPJ2
It seems that your question is not complete, the complete question should be:
A vacation resort offers surfing lessons and parasailing. If a person takes a surfing lesson and goes parasailing, she will pay $175. There are 16 people who go parasailing and 20 people who take surfing lessons. On a Friday, the resort collects a total of $3,101 for activities. How much does each activity cost?
Will someone please help me with this.
Answers
Answer:
20
Step-by-step explanation:
Kanchan bought a two in one set for 2000 rupees and sold it for 1950 rupees find her loss of or gain %
Answers
Step-by-step explanation:
As you can see kanchan bought a item for ₹2000 but she sold it for ₹1950 but the rate of the item she sold it for is less than the item she bought....so its 50% loss.....hope this helps..
please help thank you :)
Answers
Answer:
∠7 = 85°
Step-by-step explanation:
∠1 = 180 - 115 = 65° Because they are supplementary angles
∠2 = 180 - 65 - 85 = 30° Because the sum of all interior angles in a triangle
equals 180°
∠3 = 90° given
∠6 = 180 - 90 - 30 = 60° Because they are supplementary angles
∠4 = 180 - 155 = 25° Because they are supplementary angles
∠5 = 180 - 25 - 60 = 95° Because the sum of all interior angles in a
triangle equals 180°
∠7 = 180 - 95 = 85° Because they are supplementary angles
what's the domain function for y=(x+1)(x-9)
Answers
Answer:
Step-by-step explanation:
Division by zero is undefined, so the only restriction on the domain, the values of x is that x cannot equal 9. So the domain is all real numbers except 9. Or in interval notation
x=(-oo,9),(9,+oo)
Answer:
All real numbers
Step-by-step explanation:
y = (x+1)(x-9)
y = x² - 8x - 9
There are no asymptotes, restrictions of x, or holes.
A rectangle has an area of 12x²+17x-5mm². For what value of x is the rectangle a square? What is the area of a square? Justify your answer and show your work. A=12x²+17x-5mm²
Answers
Answer:
23mm
528 mm^2
Step-by-step explanation:
The area of a rectangle is given as the product of its length and width.
Given that 12x²+17x-5mm² is the area
factorize
12x²+17x-5 = 12x²+20x -3x-5
= 4x(3x+5)-1(3x+5)
= (3x+5)(4x-1)
For the rectangle to be a square, it means that the sides 3x+ 5 and 4x - 1 are equal. Hence
3x + 5 = 4x -1
collect like terms
3x - 4x = -5 -1
-x = -6
x = 6
substitute into the sides
3x + 5 = 3(6) + 5 = 23
4x -1 = 4(6) - 1 = 23
The area of the square which is a product of the sides
= 23 * 23
= 529
7. A cylinder and its dimensions are shown below. -18 cm 13.5 cm Which measurement is closest to the lateral surface area of the container in square centimeters? O A 763 cm? O B. 3435 cm? O C. 1272 cm? • D. 3281 cm?
Answers
Answer:
A 763cm
Step-by-step explanation:
Help me with this!!! Will mark Brainliest
Answers
Answer:
no
Step-by-step explanation:
Answer: No
Step-by-step explanation: plz mark me brainliest. EF are 5 lengths away from each other and FG is 15 so no
An air hockey puck is shot off the score zone of an air hockey table, banked off the side, and into the opponent’s score zone. Its path can be modeled by the absolute value function shown. Use the graph of the function to complete the statement.
The puck changes direction at .
The puck goes into the opponent’s score zone located at , because the graph is .
Answers
Answer:
The puck changes direction at
✔ (25, 0)
The puck goes into the opponent’s score zone located at
✔ (50, 20)
because the graph is
✔ symmetric
Step-by-step explanation:
i got it right
Answer:
A) (25,0) B) (50,20) C) Symmetric
Step-by-step explanation:
got it 100% right jus took the test....
3. What method can be use to prove the triangles below are congruent?
options:
congruent by sss
congruent by hl
congruent by sas
not congruent
Answers
Answer:
Congruent by SSS
!!!!!!!
Help!!!!!!!!!!!!!!!!!?!?!??!!
Answers
Answer:
B
Step-by-step explanation:
I learned this a while ago, if you have the < symbol then you shade below the dotted line. You can get the rest.
Find the area.
2m
2m
3m
Answers
Answer:
5 m²
Step-by-step explanation:
please mark me as brainliest
3b + 5
question : What is the value of the following expression of b=4?
Answers
Answer:
17
Step-by-step explanation:
3 x 4 = 12 + 5 = 17
Please show your work!!
Answers
Answer:OK ILL HELP
Step-by-step explanation:Combine
1
2
and
x
.
y
=
x
2
−
3