Answers
Answer:
a) m∠BPD = 120°
b) m∠BC + m∠AD = 120°
Step-by-step explanation:
a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:
The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.
The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2
The larger exterior arc (m∠BD) = 170°
The small exterior arc (m∠CA) = 70°
m∠BPD = m∠BD + m∠CA/2
m∠BPD = 170° + 70°/2
= 240°/2
= 120°
b) We are to find m∠BC + m∠AD
The sum of exterior angles in a circle = 360°
360° = m∠BD + m∠CA + m∠BC + m∠AD
360° = 170° + 70° + m∠BC + m∠AD
360° = 240 + m∠BC + m∠AD
360 - 240° = m∠BC + m∠AD
Thererefore,
m∠BC + m∠AD = 120°
Answer:
1. m∠BPD = 120°
2. m∠BC + m∠AD = 120°
Related Questions
I NEED HELP PLEASE I GIVE 5 STARS !
Answers
Answer:
I'm pretty sure 8 is the correct answer
Step-by-step explanation:
(-1)^(3/7) x 128^(3/7)
-1 x 128^3/7
128^(3/7) = 8
= 8
Please Help me 5 People can build a wall in one hour how long will it take 8 people Give the answer in Minutes
Answers
Answer:
if 5 people =1 hour. which is 60 minutes.
so 8people.52 minutes ...it wont take hours .since an hour is 60 min.
Answer:
[tex] \boxed{37.5 \: \: \: minutes}[/tex]Step-by-step explanation:
Let's solve:
[tex] \mathsf {people \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: time( \: in \: minutes) }[/tex]
[tex] \mathsf{5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 hour = 60 minutes}[/tex]
[tex] \mathsf{8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x}[/tex]
Here, Let 8 people take x minutes to complete the work.
Since, the number of people and their working minutes are indirect proportional. So,
Here, the ratio of people = 5 : 8
The ratio of minutes = 60 : x
So,
[tex] \mathsf{ \frac{5}{8} = \frac{x}{60} }[/tex]
Apply cross product property
⇒[tex] \mathsf{8x = 60 \times 5}[/tex]
Multiply the numbers
⇒[tex] \mathsf{8x = 300}[/tex]
Divide both sides of the equation by 8
⇒[tex] \mathsf {\frac{8x}{8} = \frac{300}{8} }[/tex]
Calculate
⇒[tex] \mathsf{x = 37.5 \: minutes}[/tex]
Hope I helped!
Best regards!
If 3sinA+4cosA=5 then find the value of cosA
Answers
Answer:
cos(A) = 4/5
Step-by-step explanation:
3sinA+4cosA=5
Divide by 5 on both sides
(3/5)sinA+(4/5)cosA = 1 .................(1)
from which sin(A) = 3/5, cos(A) = 4/5 by inspection, since
(3/5)^2+(4/5)^2 = 1
For more details,
Let
cos(B) = (3/5), then
sin(B) = (4/5)
Substitute in (1)
cos(B)sin(A) + sin(B)cos(A) = 1 substitute trigonometric sum
sin(A+B) = 1 => A & B are complementary
cos(A) = sin(B) = 4/5
Please help right now ASAP!!!make sure your right
Answers
Answer:
Step-by-step explanation:
What is equivalent to 9 3/4?
The answer is supposedly is 3 square root 3, but how is that the answer? can someone tell me the steps?
Answers
Step-by-step explanation:
We need to say that [tex]9^{3/4}[/tex] is equivalent to what.
We know that, (3)² = 9
So,
[tex]9^{3/4}=((3)^2)^{3/4}\\\\=3^{3/2}[/tex]
We can write [tex]3^{3/2} =3\times 3^{1/2}[/tex]
And [tex]3^{1/2}=\sqrt{3}[/tex]
So,
[tex]3\times 3^{1/2}=3\sqrt{3}[/tex]
So, [tex]9^{3/4}[/tex] is equivalent to [tex]3\sqrt{3}[/tex].
Hence, this is the required solution.
a symbol used to name one or more parts of a whole or asset or a location on the number line is a
Answers
Answer:
Fraction is the answerTammy got a new credit card with an APR of 21% a month ago, and she just
got her first credit card statement. She charged a bracelet for $17, a purse for
$36, and some sunglasses for $11. If her credit card charges interest on the
previous monthly balance, how much should Tammy pay now so that she
doesn't have any interest charged to her on next month's statement?
Answers
Answer:
$64
Step-by-step explanation:
She should pay the entire amount which is $17 + $36 + $11 = $64
Answer:
64
Step-by-step explanation:
yezzir
Juan Sanchez, an inventory clerk for a lumber yard, often rounds inventory figures for easier handling. Round the number from the inventory list to the nearest ten.
a. grade 1 oak 519 ft.
b. grade 2 oak 795 ft.
c. grade 1 pine 323 ft.
d. grade 2 pine 477 ft. Appe
Answers
Answer:
a. grade 1 oak 519 ft. 520
b. grade 2 oak 795 ft. 800
c. grade 1 pine 323 ft. 320
d. grade 2 pine 477 ft. 480
help me Complete each sentence to describe the algebraic expression 9 + y. The variable in the expression is . The operation in the expression is . The constant in the expression is .
Answers
Answer:
'y', "addition", '9'.
Step-by-step explanation:
The variable is an unknown value in an algebraic equation or expression. It is represented by a letter.
'y' would be the variable in the given equation.
The operation in the expression is addition. The '+' sign represents addition, which means 9 and 'y' would be added together to get the sum.
Constants are terms in a expression or equation that contains no variables. This means that constants are only numbers.
'9' would be the given constant in the expression.
Hope this helps.
Answer:
y
+
9
Step-by-step explanation:
Help me with this please
Answers
Answer:
Hey there!
Point n is either -3+5 or -3-5.
Thus, the two possible values are 2 or -8.
Let me know if this helps :)
PLEASE HELP!!! Jim made a table to show the length of his walking sticks.
Which walking sticks measured less than 3/5 meters? Choose 2 answers
Answers
Answer:
Stick 2: [tex] \frac{1}{2} [/tex]
Stick 3: [tex] \frac{4}{10} [/tex]
Step-by-step explanation:
To determine which of the lengths are less than ⅗ meters, you would compare each given length with ⅗ meters.
Stick 1: Comparing ⁹/10 and ⅗
Find The common denominator of both fractions. 10 is the common denominator. Multiply the numerator and denominator of ⅗ by 2 to create a fraction equivalent to ⁹/10.
Thus,
[tex] \frac{3*2}{5*2} = \frac{6}{10} [/tex]
Compare the numerator of [tex] \frac{9}{10} [/tex] and [tex] \frac{6}{10} [/tex].
9 is greater than 6. This means [tex] \frac{9}{10} [/tex] > [tex] \frac{6}{10} [/tex].
Therefore, [tex] \frac{9}{10} [/tex] > [tex] \frac{3}{5} [/tex]
Stick 2: comparing ½ and ⅗
Common denominator = 10
Make both fractions equivalent to each other as follows,
[tex] \frac{1*5}{2*5} = \frac{5}{10} [/tex]
[tex] \frac{3*2}{5*2} = \frac{6}{10} [/tex]
5 < 6. This means, [tex] \frac{5}{10} [/tex] < [tex] \frac{6}{10} [/tex].
Therefore, [tex] \frac{1}{2} [/tex] < [tex] \frac{3}{5} [/tex]
Stick 3: comparing ⁴/10 and ⅗
Common denominator = 10
Make the fractions equivalent as follows,
[tex] \frac{4*1}{10*1} = \frac{4}{10} [/tex]
[tex] \frac{3*2}{5*2} = \frac{6}{10} [/tex]
4 < 6. This means, [tex] \frac{4}{10} [/tex] < [tex] \frac{6}{10} [/tex].
Therefore, [tex] \frac{4}{10} [/tex] < [tex] \frac{3}{5} [/tex]
Stick 4: comparing ⅘ and ⅗
Common denominator = 5
Since both denominators are already the same, both fractions are equivalent. Comparing their numerator, 4 > 3. Therefore, ⅘ > ⅗.
1/2x+1/3y=2
1/3x+1/2y=13/6 (x is not equal to 0, y is not equal to 0)
by substitution method,
step by step
Answers
Answer:
x=2
y=3
Step-by-step explanation:
x/2+y/3=2 so
3x/6+2y/6=12/6
then multiply by 6
3x+2y=12
equation number 2
x/3+y/2=13/6
2x/6+3y/6=13/6
multiply by 6
2x+3y=13
so the system is now
3x+2y=12
2x+3y=13
from the first equation 2y=12-3x, y=6 - 3x/2
then put y in the second equation
2x+3*(6-3x/2)=13
2x+18-9x/2=13
2x-9x/2=13-18
4x/2-9x/2=-5
-5x/2=-5
*(-1/5) *(-1/5)
x/2=1
*2 *2
x=2
so y=6-3*2/2=6-3
y=3
Step-by-step explanation:
Given that:
(1/2x)+(1/3y) = 2 --------(1)
(1/3x)+(1/2y) = 13/6-----(2)
Put 1/x = a and 1/y = b then
(1) becomes
(a/2 )+( b/3) = 2
⇛ (3a+2b)/6 = 2
⇛ 3a+2b = 2×6
⇛ 3a+2b = 12 --------(3)
(2) becomes
(a/3)+(b/2)=13/6
⇛ (2a+3b)/6 = 13/6
⇛ 2a+3b=13----------(4)
On adding (3)&(4) then
3a+2b=12
2a+3b=13
(+)
_________
5a+5b = 25
_________
⇛ 5a+5b = 25
⇛ 5(a+b)=25
⇛ a+b=25/5
⇛ a+b=5 -------------(5)
On subtracting (3) from (4)
2a+3b=13
3a+2b=12
(-)
_________
-a+b = 1
_________
⇛ -a+b = 1
⇛ b = 1+a --------(6)
On Substituting the value of b in (5) then
a+1+a = 5
⇛2a+1 = 5
⇛ 2a = 5-1
⇛ 2a = 4
⇛ a = 4/2
⇛ a = 2
On Substituting the value of a in (6) then
b = 1+2
b = 3
Now,
a = 2
⇛ 1/x=2
⇛ “x” = 1/2
and
b= 3
⇛ 1/y = 3
⇛“y” = 1/3
Answer:- Hence, the value of x and y with be 1/2 and 1/3 respectively.
The solution for the given problem is (1/2,1/3)
Check:-
If x = 1/2 and y = 1/3 then
LHS = (1/2x)+(1/3y)
= 1/2(1/2)+1/3(1/3)
= 1/(2/2)+1/(3/3)
= (1/1)+(1/1)
= 1+1
=2
= RHS
LHS=RHS is true
and
LHS=(1/3x)+(1/2y)
⇛ 1/3(1/2)+ 1/2(1/3)
⇛ 1/(3/2)+1/(2/3)
⇛ (2/3)+(3/2)
⇛ (4+9)/6
⇛ 13/6
⇛ RHS
LHS = RHS is true
also read similar questions: Simultaneous equations: 1. 2x+2y=10 X+2y=6 2. 3x+y=18 2x+y=13 3. X+y=1 X-y=5 4. 3x+4y=29 X-4y=-17 5. 4c+3y=11 2x+y=7
https://brainly.com/question/12286263?referrer
How many solutions are there for the absolute value equation, |16 + t| = – 3
Answers
Answer:
no solutions
Step-by-step explanation:
|16 + t| = – 3
Absolute values are greater than or equal to zero
They cannot be negative so there are no solutions
Answer:
no solutions
Step-by-step explanation:
|16 + t| = – 3
Absolute values are greater than or equal to zero
They cannot be negative so there are no solutions
what is the square and square root of 9x⁸
Answers
Answer:
square: (9x^8)^2= 81x^16
square root: (9x^8)^1/2 = 3x^4
Step-by-step explanation:
the ^ mean that the following num should be like this ⁸
1. Write an algebraic expression for the following word phrase: the quotient of r and 12. (1 point)
Or. 12
Or+12
Or-12
Or- 12
Answers
The answer is Or + 12
Ella's pet snake is 42 inches long, and Roya's pet snake is 8 feet long. How many inches longer is Roya's snake?
Answers
96-42=54 so royas snake is 54 in longer
Answer:
54 inches
Step-by-step explanation:
First, let's convert the measurements into a common measurement.
Since inch is the smallest measurement here, let's use that.
Ella's pet snake is 42 inches long.
Roya's pet snake is 8 feet long. There are 12 inches in one foot. Therefore, 8 feet would mean 12 times 8 or 96 inches.
Therefore, Roya's snake is 96 inches long.
To find out how many inches longer is Roya's snake, subtract:
96 - 42 = 54.
Therefore, Roya's snake is 54 inches longer than Ella's.
f(×)=3×2 - 2 and g(×) = 2×+4 , find (f-g)(×)
Answers
Answer:
3x^2-2x-6
Step-by-step explanation:
(f-g)(x) = f(x) - g(x)
=3x^2-2-2x-4=3x^2-2x-6
(cos^2x-sin^2x)-sin4x+sin^22x=0
Answers
Answer:
x=22.5
Step-by-step explanation:
(there's a correction in the question since the I did this one before, so I know)
(cos²x-sin²x)²-sin4x+sin²2x=0
or, cos²2x-sin4x+sin²2x=0
or, 1-sin4x=0
or, sin4x=1
or, 4x=90
or, x=22.5
if the cost of a notebook is 2x-3 express the cost of five books
Answers
Answer:
10x - 15
Step-by-step explanation:
5(2x-3) = 10x - 15
Write an equation for the line in the graph that passes through the points (0,4) and (12,16).
Answers
Answer:
We have,
y-y1=m(x-x1)
or,y-4=-1(x-0)
or,y-4=-x
or,x+y=4 is the required equation
Step-by-step explanation:
it it helps u ...plz mark it as brainliest
I’ll give you 30pts and brainliest
Do You Understand? I don’t understand.
1. Essential Question How is subtracting integers related to adding integers?
Answers
Answer: Adding integers means adding integers with the same signs, while subtracting integers means adding the integers of opposite signs.
Step-by-step explanation:
Serena hits a tennis ball downward from the top of the net at which the angle of
depression is 20°. If the net is 0.9 m high, how far from the net does the ball land to
the nearest tenth of a metre?
Answers
Answer:
2.5 meter
Step-by-step explanation:
in a right triangle, tan of an angle = opposite side /adjacent side
tan 70° = x/ 0.9 , multiply both sides by 0.9
0.9 * tan 70° = x, solve on a calculator
x ≈ 2.5 m
Ian drives an electric car. He can drive 425 kilometres before he needs to stop and recharge his car. It takes 10 minutes to charge 50 kilometres. How long does Ian have to wait for his car to fully charge?
Answers
Answer:
85 minutes
Step-by-step explanation:
425/50=8.5 10 minute increments
8.5*10= 85 minutes
Is 2(5m-4)-3(m-5)^2 equivalent to -3m^2+40m-83? Show your work.
Answers
[tex]\\ \sf\longmapsto 2(5m-4)-3(m-5)^2[/tex]
[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+5^2)[/tex]
[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+25)[/tex]
[tex]\\ \sf\longmapsto 10m-8-3m^2+30m-75[/tex]
[tex]\\ \sf\longmapsto -3m^2+30m+10m-75-8[/tex]
[tex]\\ \sf\longmapsto -3m^2+40m-83[/tex]
The Ross family and the Russell family each used their sprinklers last summer. The water output rate for the Ross family's sprinkler was 35L per hour. The water output rate for the Russell family's sprinkler was 30L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1725L. How long was each sprinkler used?
Answers
Answer:
Ross = 15 hours
Russel = 40 hours
Step-by-step explanation:
Let Ross have used their sprinklers for x hours
Let Russell have used their sprinklers for y hours
Together they used 55 hours
x+y = 55 hours
The output of Ross is 35 liters per hour and Russell is 30 liters per hour for a total of 1725
35x + 30y = 1725
Multiply the first equation by -30
-30(x+y=55)
-30x -30y = -1650
Add this to the second equation to eliminate y
-30x -30y = -1650
35x + 30y = 1725
-----------------------------
5x =75
Divide each side by 5
x = 15
Now find y
x+y = 55
y = 55-15
y = 40
Ао
D
B
120°
Angle A =
degrees.
Answers
Answer:
A = 120
Step-by-step explanation:
Angle A is a vertical angle to 120 and vertical angles are equal
A = 120
[tex]\Large\rm\underbrace{{\green{ \: Angle \: A \: = \: 120 \degree}}}[/tex]
Because vertically opposite angles are always equal.
Elsa draws an angle that measures 56. Tristan draws a congruent angle.
Tristan says his angle is obtuse. Is he correct? Why or why not
Answers
Answer:
False
Step-by-step explanation:
If an angle is congruent, it means that the angle is equal to the first angle which is 56 degrees, in theory, it would be false because 56 degrees is an acute angle and not obtuse.
The function gx) = x^2is transformed to obtain function hr.
h(x) = g(x-3).
Which statement describes how the graph of h is different from the graph of g?
A. The graph of his the graph of g vertically shifted down 3 units.
B. The graph of his the graph of ghorizontally shifted left 3 units.
C. The graph of h is the graph of g vertically shifted up 3 units.
D. The graph of h is the graph of g horizontally shifted right 3 units.
Answers
the graph will shift 3 units to the right
what is the one solution for the linear equations y=3x-5 and y=-3x+7
Answers
Answer:
y=1 and x=2
Step-by-step explanation:
Add the two linear equation and you will have 2y=2, y=1. Plugging this in any equation, we have x=2
Answer:
The solution is (2,1)
Step-by-step explanation:
Set the two equations equal
y=3x-5 and y=-3x+7
3x-5 = -3x+7
Add 3x to each side
3x-5+3x = -3x+7+3x
6x-5 = 7
Add 5 to each side
6x-5+5 = 7+5
6x = 12
Divide by 6
6x/6 = 12/6
x=2
Now find y
y =3x-5
y=3(2)-5
y = 6-5
y=1
The solution is (2,1)
-3 = 7 - BLANK pls tell me what blank is
Answers
Answer:
10
Step-by-step explanation:
-3 = 7 - x
Add x to both sides
x -3 = 7 - x +x
x - 3 = 7
Now, add 3 to both sides
x - 3 + 3 = 7 + 3
x = 10
Answer:
[tex]\boxed{10}[/tex]
Step-by-step explanation:
[tex]-3=7- \sf BLANK[/tex]
[tex]\sf Subtract \ 7 \ from \ sides.[/tex]
[tex]-3-7=-7+7- \sf BLANK[/tex]
[tex]-10=- \sf BLANK[/tex]
[tex]\sf Multiply \ both \ sides \ by \ -1.[/tex]
[tex]-10(-1)=(-1)- \sf BLANK[/tex]
[tex]10= \sf BLANK[/tex]