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°
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°
what’s (10a ^2 )(−6a ^4 ) Simplify
Answer: -60a^6
Step-by-step explanation:
multiply 10 and 6. combine the exponents
Answer:
[tex] - 60a ^{6} [/tex]
Step-by-step explanation:
1) Take out the constants.
[tex](10 \times - 6) {a}^{2} {a}^{4} [/tex]
2) Simplify 10 × -6 to -60.
[tex] { - 60a}^{2} {a}^{4} [/tex]
3) Use product rule.
[tex] - 60 {a}^{2 + 4} [/tex]
4) Simplify 2 + 4 to 6.
[tex] - 60 {a}^{6} [/tex]
Therefor, the answer is -60a⁶.
A collection of nickels and quarters is worth $2.10. There are 22 coins in all . How many of each coin
are there?
Answer:
17 nickels
5 quarters
Step-by-step explanation:
Let n = no. of nickels
22 - n = no. of quarters
Each quarter is 25 cents and each nickel is 5 cents
5n = total amount of money in cents for the nickels
25(22 - n) = total amount of money in cents for the quarters
Since the total amount of money is $2.10 or 210 cents we have the equation
5n + 25(22 - n) = 210
5n + 550 - 25n = 210
-20n + 550 = 210
-20n = -340
n = 17 nickels
22 - n = 22 - 17 = 5 quarters
Now, you don't need to do all that I did. I explained in detail what is going on in this problem. All that you would need to do is write this:
let n = no. of nickels
22 - n = no. of quarters and then write the equation and solve
5n + 25(22 - n) = 210
?? OK?
Subject:Mathematics
Answer:
9 ppl
Step-by-step explanation:
hope this helped!!
which inequality has a solid boundary line when graphed?
Answer:
4th option
Step-by-step explanation:
An inequality using > or < has a broken boundary when graphed.
An inequality using ≥ or ≤ has a solid boundary when graphed
Then y ≥ 9x + 9 has a solid boundary
i just don’t understand how to do the half circle part. so if you could just give me that number i can do the rest.
Answer:
the radius of the circle is 5 and you find the raidus of the circle by using the formula A= (pi)r squared. then you'd divide that answer by two. :)
Step-by-step explanation:
can someone help find x, y, and z
Answer:
Step-by-step explanation:
x^2=13^2-12^2
x^2=25
x=5
(sin90)/13=(sin(90-A))/5
sin(90-A)=5/13
90-A=arcsin(5/13)
A=90-arcsin(5/13)
tan(90-arcsin(5/13))=5/y
y=5/(tan(90-arcsin(5/13))
y=25/12
z^2=(25/12)^2+5^2
z=65/12
(x,y,z)=(5, 25/12, 65/12)
help please!! The measures of the angles of a triangle are shown in the figure below. Solve for x
Answer:
61
Step-by-step explanation:
80+39=119
180-119=61
Could anyone find this?
Answer:
Step-by-step explanation:
Since the squares have areas of 32u^2. The side lengths are
[tex]s=\sqrt{32}\\ \\ \text{By the Pythagorean Theorem}\\ \\ x^2=s^2+s^2\\ \\ x^2=32+32\\ \\ x^2=64\\ \\ x=\sqrt{64}\\ \\ x=8[/tex]
PLSSS FASTT
Find the value of X ?
Choose 1 answer:
Or
D) X=8
Which of the following represents the factorization of the trinomial below?
x^2- X-20
Answer:
(x-2)(x-10)
Step-by-step explanation:
Hope this helps :)
help pls asap!!!!!!! brainliest!!!!!!
Answer:
D!
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
-2p^2 - 35pr - 8r^2
Plz give me the right answer
Steven deposited $3500 into a savings account for 2 years at 3% compounded daily. How
much will the savings account have in it at the end of that time?
Answer:
5600
Step-by-step explanation:
Multiply (5x-2)^2
A: 25x^2 - 4
B: 25x^2 - 10x + 4
C: 25x^2 - 20x + 4
D: 25x^2 + 20x + 4
Say a answer not a website
What is the value of x?
(3x + 10°
(4x + 2)°
77°
34
Answer:
I don't know. I don't see any equal sign
Step-by-step explanation:
(3x + 10° = 3x + 1
(4x + 2)° = 1
77° = 1
34 = 34
which of the following statements is true n=m n=4m
Answer:
This statement is true.
Answer:
insufficient info
Step-by-step explanation:
as I see it neither there isn't enough info to find a answer
simplify each expression.
Answer:
1. a²⁴
2. b¹⁵ / c²⁰
3. 8x³ / 27y⁶
4. 16m¹⁰n²²
Step-by-step explanation:
Hope This Helps :)
Plz Mark Brainliest!!
Rewrite the following without an exponent.
(8/5) -1
Answer:
5/8.
Step-by-step explanation:
a^-1 = 1/a
So here we have:
(8/5)^-1
= 1/ (8/5)= 5/8.
I need this answer in like 10 minutes
Answer:20
Step-by-step explanation:
6 1/2 divided by 3 2/3
Answer:
39/22 = 1 17/22
Step-by-step explanation:
Attached below :
I hope im right!!
The area of a trapezium is 300sqm and its height is 10m, if one of the parsllel sides is 10m, the length of the other parallel side is
Answer:
50M
Step-by-step explanation:
The area of a trapezium = 1/2 x ( a + b) x h
a and b are the parallel sides
h = height
300sqm = 0.5 x (10 + b) x 10
divide both sides by 10
30 = 0.5 x (10 + b)
Divide both sides by 0.5
60 = (10 + b)
b = 60 - 10 = 50
500 photos in a album each page holds 5 if 55% of the album is empty how many pages are filled with photos
Answer:
45 pages are filled with photos
Step-by-step explanation:
500 * 0.55 = 275
500 - 275 = 225
225/5 = 45
You are graphing rectangle ABCD in the coordinate plane. The following are the three vertices of the rectangle:
A (2,1), B(5,1). C(5,6)
What are the coordinates of point D?
Please Help!!!!!!!! I just need the answer.
Answer:
the answer is B
Step-by-step explanation:
a sum of money was divided between two friends, karen and Natasha in the ratio 2:5. If Natasha received $120 more than karen, find the sum of money shared
Answer:
$600
Step-by-step explanation:
Let x be the total amount divided
Karen gets (2/7) x
Natasha gets (5/7) x
(5/7) x = (2/7) x + 210
Multiply both sides by 7
5x = 2x + 1470
3x = 1470
x = 490
Natasha gets (5/7) (490) = 350
Karen gets (2/7)(490) = 140
The difference in ration is 5 - 3 = 2. So divide 150 by 2 to get the amount for each part of the ratio which is 75. the total ration is 3 + 5 = 8. So to get the total original sum of money, multiply 75 and 8 which is $600. for each person just multiply 75 with their respective ratios. For A: 75 X 3 = $225. For B: 75 x 5= $375. To check that it is correct add 225 and 375, and you should get 600.
according to my calculations, the starting amount will be 600
Answer:
$280
Step-by-step explanation:
Ratio = 2 : 5
Karen's Share = 2x
Natasha's share = 5x
Natasha received $120 more than karen.
5x = 2x + 120
5x - 2x = 120
3x = 120
x = 120/3
x = 40
Karen's share = 2*40 = $ 80
Natasha's share = 5*40 = $ 200
Sum of money = 80 +200 = $ 280
if 3/4 of a certain number is equal to 9 find the number
write the equation.
3/4n=9
now solve.
3/4n=9
/3/4 /3/4
n=12
---
hope it helps
Answer:
x = 12
Step-by-step explanation:
10 points please help fast
Answer:
it's the last option
Step-by-step explanation:
tr
Answer:
TR
Step-by-step explanation:
The diameter is a chord that passes through the circles centre.
The only chord to do this is TR
Please help with #17 & #18 really struggling!
I need help please, for both of them
Answer:
find the area of the rectangle in the middle....the two ends are half circles so just find the area of them put together as one circle and add the two areas together....good luck
Step-by-step explanation:
Answer:
Step-by-step explanation:
55