Answers
Answer:
x = 142°
Step-by-step explanation:
The first thing you need to figure out is the missing interior angle of the triangle.
There is 180 degrees in a triangle, there is a 90° and 52° angle listed, so subtract that from 180° to get the missing angle.
180° - 90° - 52° = 38°
Now we want the exterior angle x. Angle x and the interior angle form a straight line when combined which will also be a 180° angle. You can picture this as a half circle (a full circle is 360°).
So subtract the interior angle 38° from 180°
180° - 38° = 142°
Related Questions
Select the correct answer.
Sophia has unsharpened pencils that are 20 centimeters long. What is the approximate surface area of a pencil?
Answers
The surface area of the pencil is the amount of space it covers
The surface area of the pencil is 61 square centimeters
How to determine the surface area?The given parameters are:
H = 20 cm
L = 0.5 cm
The surface area (SA) is then calculated as:
SA = 6LH + 3[tex]\sqrt 3[/tex]L^2
This gives
SA = 6 * 0.5 * 20 + 3[tex]\sqrt 3[/tex] * 0.5^2
Evaluate the sum
SA = 61
Hence, the surface area of the pencil is 61 square centimeters
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Can someone help me find the domain of this??
RIGHT ANSWERS ONLY PLS
NO LINKS!
Answers
Answer:
D, assuming that the function continues past the line shown
Step-by-step explanation:
There is no reason that the X is ending on either side. There should be arrows on both ends of the graphed function though.
The surface area and volume of a sphere are in the ratio of 3:7cm.What is the circumference of its great circle and volume
Answers
Answer:
Radius of sphere =1unit
SurfaceareaVolume=4πr234πr3=34π(1)3×4π(1)21=31
∴V:S=1:3 cm
Step-by-step explanation:
Hope this helps. If any questions, please ask in comments.
Giving Brainliest again!
(It's very easy)
Manny invested $8000 in an account that pays 6.5% simple interest. Manny will not make any additional deposits or withdrawals. How many years must the money stay invested for before the investment has a balance of $13,200?
Answers
Answer:
10 years
Step-by-step explanation:
Simple interest formula:
AV=PV(1+it)
13200=8000(1+.065t)
1.65=1+.065x
.65=.065x
10=x
Consider the following incomplete deposit ticket: a deposit ticket. the amounts deposited were 491 dollars and 60 cents and 157 dollars and 68 cents. 68 dollars and 44 cents was taken out as cash. the total on the ticket is 686 dollars and 4 cents. what was the value of the third check tony deposited? a. $617.60 b. $105.20 c. $31.28 d. $36.76
Answers
Tony deposited three checks as given in deposite ticket. The amount of the third check that Tony deposited is given by: Option B: $105.20
How to get the resultant deposited amount?Resultant deposited amount = Deposited amount - The amount deducted.
We subtract the amount deducted from the amount deposited to get the resultant deposite amount that will go in bank.
Well, it might be that we deduced more than what we deposite, in that case net deposite will come as negative, indicating that there is deduction instead of deposite.
The missing image of the deposite ticket is attached below.
From that image, we can see that:
Deposited amounts were: First check: $491.60 Second check: $157.68 Third check: $x (to find)Deducted amount was: $68.44Net deposite = $686.04Thus, the net deposited amount is:
Net deposite = deposited amounts - deduced amounts
686.04 = 491.6 + 157.68 + x - 68.44 (all in dollars)
[tex]686.04 = x+ 491.6 + 157.68 - 68.44\\686.04 = x + 580.84\\\\\text{Subtracting 580.04 from both the sides} \\\\686.04 - 580.84 = x\\x = 105.20 \: \rm dollars[/tex]
Net deposite = 105.20 (in dollars).
Thus, the amount of the third check that Tony deposited is given by: Option B: $105.20
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Is it true that M is perpendicular to P?
Is it true that N is perpendicular to P?
need help, prettyy stuck!
Answers
yes it is true and second is false
HELPPPPPPPPPPPPPPPP:
Answers
Answer:
Formula of Mean= Efx/n
Formula of Median=n+1/2
I think it will help you
Please Help ! What is the slope of the line?
Answers
Answer:
There are 3 ways to find the slope of a line.
I'll use a simple method.
First, let's look at a random point on this line(and make sure it's close to the start of the line).
I'll choose (1,4).
Then, see how much it rises and how far it runs to another fixed point.
Though, in this case we can see that the rise is going down and the run is moving towards the right. So, the slope will be negative since the rise is negative.
You always want to confirm if it'll be a negative or positive slope and which direction the slope is guiding you to.
Now, if we go down 8 and over 3, we'll reach a fixed point of (4, -4).
Therefore, we can infer that the slope of this line will be 8/3.
Answer:
8/3
Step-by-step explanation:
rise over run, only clearly intercepts a point twice.
Determine the simple interest earned p=$2000 r=4.6% T=4 years
Answers
Answer:
[tex]\boxed{\sf{I=368}}[/tex]Step-by-step explanation:
Use a simple interest formula.
Simple interest formula:
⇒ I=PrtP stands for principal R stands for interest rateT stands for interest time(P): Principal =$2000(R): Interest Rate =4.6%(T): Interest Time =4→ 2000*4.6%4
You have to convert 4.6% into a decimal form.
→ 4.6%=0.046
→ I=2000*0.046*4
Solve.
Multiply the numbers from left to right.
→ 2000*0.046*4=368
Therefore, the correct answer is 368.I hope this helps you! Let me know if my answer is wrong or not.
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answers
Answer:
Step-by-step explanation:
Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
So:
[tex]9^2+13^2=c^2[/tex]
[tex]250 = c^2[/tex]
[tex]\sqrt{250} = \sqrt{c^2}[/tex]
[tex]c = 15.8113883[/tex]
OR (rounded)
[tex]c = 15.8[/tex]
I NEED HELP FAST
I will mark brainliest whoever gets it right
Answers
its b i know
Step-by-step explanation:
Rectangle A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-1, -6),A(−1,−6),A, left parenthesis, minus, 1, comma, minus, 6, right parenthesis, comma B(-1,7)B(−1,7)B, left parenthesis, minus, 1, comma, 7, right parenthesis, C(1, 7)C(1,7)C, left parenthesis, 1, comma, 7, right parenthesis, and D(1, -6)D(1,−6)D, left parenthesis, 1, comma, minus, 6, right parenthesis.
Given these coordinates, what is the length of side ABABA, B of this rectangle?
Answers
Answer:
13 units
Step-by-step explanation:
Points A(-1, -6) and B(-1, 7) both lie on the vertical line x=-1. That means the distance between them is the difference of their y-coordinates:
__
By -Ay = 7 -(-6) = 13
Segment AB is 13 units long.
Need Help!
Ginger has an unpaid balance of $2,018.91 on her credit card. Her credit card has an interest rate of 1.2% per month. If she makes a payment of $500, how much will she owe at the end of the month?
$1,518.91
$1,537.14
$1,500.68
$1,543.14
Answers
Answer:
$1,537.14
I had this question once and this was the answrr
Please help meeeeeeeeeee
6x^3 - 15x^2 - 3x / 3x
simplify the polynomial
Answers
Answer:
6x³ - 15x² - 1
3x divided by 3x is 1
So, here we are to simplify the polynomial :
[tex] \\ \longrightarrow \sf \qquad6x^3 - 15x^2 - \frac{3x}{ 3x}\\ \\[/tex]
We can simplify it as,
[tex]\\ \longrightarrow \sf \qquad6x^3 - 15x^2 - 1 \\ \\[/tex]
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expressionStrat time 3:30 pm end time 7:00 pm what is the elapsed time.
Answers
Answer:
3 hrs. 30 mins.
Step-by-step explanation:
7:00 - 3:30
What is the answer to v/-6+79<92
Answers
Answer:
v > - 78
Step-by-step explanation:
Version 1.
v
----------- < 92
-6 + 79
v
------------ < 92
73
v
------------ < 92(73)
73(73)
v < 6716
-------------------------------------
Version 2
v
------------ + 79 < 92
-6 -79 -79
v
(-) ------------ < 13(6)
6(6)
-v < 78
÷-1 ÷-1
v > -78
I hope this helps!
Find the product of 3.2 and 4.6
Answers
Answer:
7.8
Step-by-step explanation:
3.2 + 4.6 = 7.8 because 6+2 equals 8 and 4+3 equals 7 so 7.8
This circle passes through the points $(-1, 2)$, $(3,0)$ and $(9,0)$. The center of the circle is at $(h,k)$. What is the value of $h+k$?
Answers
Answer:
17
Step-by-step explanation:
The geometry program that drew the circle through the three given points wrote this equation for the circle:
(x -6)^2 +(y -11)^2 = 130
Compared to the standard form equation, ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle with center (h, k) and radius r
we can see that the center is (h, k) = (6, 11).
The sum h+k is 6+11 = 17.
__
Additional comment
The center is at the point of intersection of the perpendicular bisectors of chords of the circle.
Here it is convenient to choose one of them as the horizontal segment with endpoints (3, 0) and (9, 0). The vertical line that bisects this segment is x=(3+9)/2 = 6. So, x=6 is the x-coordinate of the circle center.
We can use endpoints (-1, 2) and (3, 0) as another chord. Its midpoint is (-1+3, 2+0)/2 = (1, 1). The slope of this chord is (y2-y1)/(x2-x1) = (0-2)/(3-(-1)) = -1/2. So, the slope of the perpendicular bisector is -1/(-1/2) = 2, and the equation of that line is
y -1 = 2(x -1)
For x=6, the point of intersection of the chord bisectors is ...
y -1 = 2(6 -1) = 10
y = 11
The coordinates of the circle center are (6, 11), so h+k = 6+11 = 17.
The coffee variety Arabica yields about 750 kg of coffee beans per hectare, while
Robusta yields about 1200 kg per hectare. Suppose that a plantation has a
hectares of Arabica and r hectares of Robusta.
a. Write an equation relating a and r if the plantation yields 1,000,000 kg of coffee.
b. On August 14, 2003, the world market price of coffee was $1.42 per kg of Arabica
and $0.73 per kg of Robusta. Write an equation relating a and r if the plantation
produces coffee worth $1,000,000.
Answers
Answer:
See belowStep-by-step explanation:
a)
Arabica coffee = 750aRobusta coffee = 1200rThe total amount coffee beans
750a + 1200r = 1000000 kgb)
The total amount of market price
1.42*750a + 0.73*1200r = 1000000 ⇒1065a + 876r = 1000000 dollarsAnswer:
a) 750a + 1200r = 1000000
b) 1065a + 876r = 1000000
Step-by-step explanation:
Define the variables:
Let a = number of hectares of Arabica beansLet r = number of hectares of Robusta beansPart (a)
Given:
Arabica coffee = 750 kg beans per hectareRobusta coffee = 1200 kg beans per hectareIf the plantation yields 1,000,000 kg of coffee:
⇒ 750a + 1200r = 1000000
Part (b)
Given:
Arabica beans = $1.42 per kgRobusta beans = $0.73 per kgIf the price of Arabica beans is $1.42 per kg, and Arabica yields about 750 kg per hectare, then the price per hectare of Arabica coffee beans is:
⇒ $1.42 × 750 = $1065 per hectare
If the price of Robusta beans is $0.73 per kg, and Robusta yields about 1200 kg per hectare, then the price per hectare of Robusta coffee beans is:
⇒ $0.73 × 1200 = $876 per hectare
Therefore, if the plantation produces coffee worth $1,000,000:
⇒ 1065a + 876r = 1000000
Nathan’s family spent 2 and 1/4 hours visiting national monument near their home.They watched a video in the visitor center for 1/3 of that time. how much time did they spend watching the video
Answers
Answer: 45
Step-by-step explanation: 2 1/4 = 2hr and 15 min
1/3 of 2hr and 15 min = 45
Amount of time spent by Nathan's family watching the video is 3/4 hour or 45 minutes.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Given that,
Nathan’s family spent 2 and 1/4 hours visiting national monument near their home.
They watched a video in the visitor center for 1/3 of that time.
Total time spent by Nathan's family in the monument = 2 + 1/4 hours
= 9/4 hours
Fraction of time spend in watching the video = 1/3
Time spend in watching the video = 1/3 × 9/4
= 3/4 hour
= 45 minutes
Hence the time spent is 3/4 hour.
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Your local firefighters are having a fundraiser by selling tickets to an all you can eat pancake extravaganza. A child's ticket cost $6.50 each and an adult's ticket cost $8.50 each. They sell a total of 350 tickets and raise a total of $2695. How many children's tickets were sold?
Please Help!!
Answers
Answer:
140 child tickets were sold
Step-by-step explanation:
a = number of adult tickets
c = number of child tickets
a+c = 350
6.50 c + 8.50a = 2695
Multiply the first equation by -8.50 together
-8.50c -8.50c =-2975
Add this to the second equation to eliminate a
-8.50c -8.50c =-2975
6.50 c + 8.50a = 2695
---------------------------------
-2c + 0a = -280
Divide by -2
-2c/-2 = -280/-2
c = 140
Find the equation of the line that passes through (-1,-3) and is perpendicular to
2y=x−3
Leave your answer in the form y=mx+c
Answers
Answer:
y = -2x - 5
Step-by-step explanation:
2y = x - 3
y = 1/2x - 3/2
gradient = 1/2
perpendicular gradient = negative reciprocal = -2
y = -2x + c
(-3) = -2(-1) + c
-3 = 2 + c
-5 = c
Answer:
y = -x/2 - 7/2
Step-by-step explanation:
Equation of the line (current) in y = mx + c
2y = x - 3y = x/2 - 3/2The slope of a perpendicular line has to be -ve to the current line.
⇒ m' = -1/2
To find the y-intercept, take the x-coordinate to be 0 and substitute in the equation :
y - y₁ = m (x - x₁)
y + 3 = -1/2 (0 + 1) [Also using the point (-1, -3) to make sure line crosses it]
y + 3 = -1/2
y = -7/2
Therefore, the new equation is :
y = -x/2 - 7/2At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, if 70 students were at the assembly, how many students could be expected to be carrying a backpack?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer:
Step-by-step explanation:
49
How many solutions are there? 100pts
Answers
Answer:
infinite many solutions
Step-by-step explanation:
5(2(b)+1) = 10(b) + 510(b) + 5 = 10(b) + 5As L.H.S = R.H.S, there are infinite many solutions
[tex]\\ \rm\Rrightarrow 5(2b+1)=10b+5[/tex]
[tex]\\ \rm\Rrightarrow 10b+5=10b+5[/tex]
[tex]\\ \rm\Rrightarrow 0=0[/tex]
Infinite solutions1.) An eagle circled 48 meters above a mouse that scurried in a valley.
The valley's elevation was 16 meters below sea level. At that same moment, a
hot air balloon floated 66 meters above the eagle.
What was the hot air balloon's elevation, relative to sea level?
A. -2 meters
B. 34 meters
C. 98 meters
D. 130 meters
Answers
The hot air balloon's(above the eagle) elevation, relative to sea level is 98 meters
What is elevation?Elevation is the height to which something is elevated or to which it rises.
Therefore,
The eagle circle 48 meters above the mouse that scurried in the valley. The valley is 16 meters below sea level.
At the same time a hot ballon floated 66 meters above the eagle.
Therefore, the hot air balloon's elevation, relative to sea level is as follows;
elevation = 66 + 48 - 16 = 98 meters
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Please help i appreciate 1
Answers
Answer:
I'm talking about the boxes:
1st-false, there are 7/19, which is not more
2nd-true, there are 12/19 which is the most
3rd-true, 12/20 of the women like dancing
4th-false, 7/20 like dancing
5th-true, 13/20 don't like dancing
The function y = x^4 - 16x^2 has zeros at x = -4, x = 0, and x = _ and a y-Intercept at (0, _)
Answers
Answer:x=4 (0,0)
Step-by-step explanation:
Determine the zeros of function,factor the functions. Set the factored function equal to 0 and solve. Then find the y-y-intercept of the given function by setting x equal to 00and Solving for y.
I got the question wrong
Answers
Answer:
Philadelphia
Step-by-step explanation:
Philadelphia
in 1990 the population was 1.6 million.in 2000 the population decreased to about 1.5 million.San Diego
in 1990 the population was 1.1 million.in 200 the population increased to about 1.2 millionHouston
in 1990 the population was 1.6 million.in 2000 the population increased to 2 million.Phoenix
in 1990 the population was 1 million.in 2000 the population increased to 1.2 million.
Explanation:
The top bar as a darker shade represents the population in 1990, and the lighter shade down below is the population for the year 2000.
The city of Dallas has its population increase because the lighter shaded bar is longer. This rules out choice A. Choices B and C are ruled out for similar reasoning (Phoenix and San Diego also show population growth).
Only Philadelphia experiences population decline during this time period.
One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle.
Answers
Answer:
Length = 8+7 = 15
Width = 8
Step-by-step explanation:
New
Length = x+7 , x+4
Width = x ,x+2
(x+7) x = (x+4)( x+2)
expand and simplify x =8
The length of the shorter side length of original rectangle is 8 inches and of original rectangle longer side length is 15 inches.
Area of rectangleLet l is the length and b is the breadth of the rectangle.
then the area of the rectangle is ab.
How to find the dimensions of the original rectangle?Given One side of a rectangle is 7 inches longer than another side.
then shorter side length is x and the large side length is 7+x.
then the area of the original rectangle is x(x+7)
Now calculate the sides of the new rectangle.
longer side of this rectangle decreases by 3 then new side is 7+x -3= 4+x
The shorter side increases by 2 inches then x+2.
So new rectangle area is (x+4)(x+2)
Both rectangle area is equal then
(x+4)(x+2) = x(x+7)
x² +2x+4x+8 = x²+7x
x²+6x+8 = x²+7x
x²-x²+7x-6x = 8
x = 8
Since a shorter side length is 8 inches and a longer side length is 8+7 =15 inches.
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please help!!! I need this and I also don't understand
Answers
Answer:
Step-by-step explanation:
(i)
PQRS is a parallelogram (given)
∴ QT = TS (Diagonals of a parallelogram bisects each other)
also, QT = RM (given)
∴TS = RM
PQRS is a parallelogram,
∴RT = PT (Diagonals of a parallelogram bisects each other)
also, SM = PT (given)
∴RT = SM
TS = RM
RT = SM
∴ RTSM is a parallelogram (both pairs of opposite sides are equal in length)
(ii)
QP // RS (Opposite sides of a parallelogram are parallel)
∴ ∡RQP = ∡NRS (Corresponding ∡s)
RTSM is a parallelogram(Proved above)
∴MS // RT (Opposite sides of a parallelogram are parallel)
∴NS//RP
∴∡RNS = ∡ QRP (Corresponding ∡s)
in ΔPQR and Δ NSR,
QP = RS (Opposite sides of a parallelogram are equal)
∡RQP = ∡NRS (Proved above)
∡RNS = ∡ QRP(Proved above)
∴ ΔPQR≡ΔSRN (AAS)
Corresponding sides of ≡ Δs are equal, ∴QR = RN
