Answers
Angle D = ABC arc / 2
x + 100 = ABC arc / 2
ABC arc = 2 × ( x + 100 )
ABC arc = 2x + 200 ( ♡ )
_________________________________
Angle B = ADC arc / 2
3x = ADC arc / 2
ADC arc = 2 × 3x
ADC arc = 6x ( ☆ )
_________________________________
ABC arc + ADC arc = 360
( ♡ ) , ( ☆ ) :
( 2x + 200 ) + ( 6x ) = 360
8x + 200 = 360
8x = 360 - 200
8x = 160
x = 160/8
x = 20
____________________________
Thus :
Angle A = 5(20) - 3 = 97 degrees
Angle B = 3(20) = 60 degrees
Angle D = 20 + 100 = 120 degrees
____________________________
Sum of the interior angles of any four-sides figures are equal 360 degrees ,
Thus :
Angle A+Angle B+Angle C+Angle D = 360
97 + 60 + Angle C + 120 = 360
Angle C + 120 + 157 = 360
Angle C + 277 = 360
Angle C = 360 - 270 - 7
Angle C = 90 - 7
Angle C = 83 degrees
Related Questions
Im really questioning my answer to this
(-5) × 7
Answers
Answer:
-35
Step-by-step explanation:
-5 times 7 = -35
hope that helped :)
Answer:
- 35
Step-by-step explanation:
The product of a negative and a positive is negative, so
- 5 × 7 = - 35
what number is equal to 3 thousands+ 7 tens+ 5 ones
Answers
Answer:
3075
Step-by-step explanation:
There is 3 thousands so 3,000 no hundreds so 0 then 7 tens,70, then 5 one,5, so 3075
Answer:
3,075
Step-by-step explanation:
3 thousands = 3,000
0 hundreds = 0
7 tens = 70
5 ones = 5
Lauren is given a 12% pay rise.Her new salary is £24,080. What was Lauren's salary before the pay rise?
Answers
Answer:
The base salary was £21,500.
Step-by-step explanation:
Giving the following information:
Increase rate (g)= 12%
New salary= £24,080
To calculate the base salary, we need to use the following formula:
Base salary= new salary / (1 + increase rate)
Base salary= 24,080 / (1.12)
Base salary= £21,500
The base salary was £21,500.
???????? HELLPLPPP ??????????
Answers
Answer:
I believe your equation is [tex]y=\frac{4}{5} x-2[/tex]
Step-by-step explanation:
Using the rise over run formula, you get the slope as 4/5. Then, you look for the y-intercept, which turned out to be -2.
8. Expo markers cost $4.99 per pack. There is a 20%
discount if 4 or more packs are purchased at Office
Depot. Sales tax is 7%. If Nicole bought 8 packs of
expos, about how much did she pay?
Answers
Answer:
34.17
Step-by-step explanation:
8 packs x 4.99/pack=39.92
39.92x.8(100-20% discount)=31.94
31.94 x 1.07% (includes 7% sales tax)=34.17
Sara buys 4 candles for $12.25 each.
If she has a coupon for 15% off, and
tax is 8.5%, what is her final bill?
Answers
Answer:
$44.98
Step-by-step explanation:
12.25 x 4 = 49
if her coupon is 15% off then she pays 85% of 49, which is 41.65
8% tax added to 41.65 is, 41.65 × .08 = 3.33
total cost is 41.65 + 3.33 = 44.98
El número de rebanadas de pizza que se comió cada persona en la fiesta de cumpleaños Elian son: 3,4,5,2,1,4,5,3,2,1,0,2,3,4,6. Media: Moda: Mediana:
Answers
Respuesta:
Modo = 2, 3, 4
Mediana = 3
Media = 3
Explicación paso a paso:
Dados los datos:
3,4,5,2,1,4,5,3,2,1,0,2,3,4,6
Datos pedidos: 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6
La media = ΣX / n = 45/15 = 3
Donde n = tamaño de la muestra = 15
Mediana = 1/2 * (n + 1) th término
Mediana = 1/2 (16) término
Mediana = octavo término
Mediana = 3
Modo = 2, 3, 4 (el más alto ocurre con una frecuencia de 3 cada uno)
Violet buys a premium sound system that is on sale for 40% off the original price. The original price is $224 more than the sale price
Answers
Answer:
The original price was of $560, while the sales price was of 560 - 224 = $336.
Step-by-step explanation:
Original price:
x
Sales price:
224 less than the sales price, that is:
x - 224.
On sale fo 40% of the original price:
So the sales price is 100 - 40 = 60% = 0.6 of the original price. That means that:
[tex]x - 224 = 0.6x[/tex]
[tex]0.4x = 224[/tex]
[tex]x = \frac{224}{0.4}[/tex]
[tex]x = 560[/tex]
The original price was of $560, while the sales price was of 560 - 224 = $336.
Factorise x^2+4x+3
Write your steps as well please
Answers
Step-by-step explanation:
x²+4+3x²+x+3x+3x(x+1)+3(x+1)(x+1)(x+3)hope it helps.
stay safe healthy and happy...The mean area µ of the several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion. The appropriate null and alternative hypotheses, H0 and Ha, for this test are
Answers
Answer:
The appropriate null hypothesis is [tex]H_0: \mu = 1250[/tex]
The appropriate alternate hypothesis is [tex]H_a: \mu < 1250[/tex]
Step-by-step explanation:
At the null hypothesis, we test if the mean area is the advertised area of 1250 square feet, that is:
[tex]H_0: \mu = 1250[/tex]
A tenant group thinks that the apartments are smaller than advertised.
Smaller, thus, at the alternate hypothesis, we test if the mean area is less than the advertised area of 1250 square feet, that is:
[tex]H_a: \mu < 1250[/tex]
The sum of two numbers is 58. The smaller number is 20 less than the larger number. What are the numbers?
Answers
Answer:
x=38 Larger number
y=20 Smaller number
Step-by-step explanation:
38+20=58
?????????????!!!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
Hope this helps
Find the probability that a randomly
selected point within the circle falls
in the red shaded area (Square).
r = 4 cm
4√2 cm
[?]%
Round to the nearest tenth of a percent.
Enter
Answers
Answer:
63.7 I believe to be the answer
The required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.
A figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).
radius = 4 cm
side of square = 4√2 cm
What is probability?
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Area of the circle = πr²
= 3.14 * 4²
= 50.24 cm²
Area of the square = side * side
= 4√2 * 4√2
= 32 cm²
Now the probability that a randomly selected point within the circle falls in the red shaded area (Square).
= Area of square / Area of the circle
= 32 / 50.24
= 0.636 or 63.6%
Thus, the required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
The probability of saving a penalty kick from the opposing team is .617 for a soccer goalie. If 7 penalty kicks are shot at the goal, what is the probability
Answers
Answer:
0.2754
Step-by-step explanation:
Probability of saving a penalty kick = 0.617
p = 0.617 ; q = 1 - p = 1 - 0.617 = 0.383
number of trials, n = 7
Number of saves, x = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 5) = 7C5 * 0.617^5 * 0.383^2
P(x = 5) = 21 * 0.0894181 * 0.146689
P(x = 5) = 0.2754
I need help y’all please
Answers
Answer:
12,214.51 meters cubed.
Step-by-step explanation:
Prove
Tan(x)+cot(x)=sec(x)/sin(x)
Answers
Answer:
Step-by-step explanation:
tanx + cotx = secx / sinx
take left hand side
=tanx + cotx
=sinx/cosx + cosx/sinx
=sinx*sinx+cosx*cosx/sinx*cosx
=sin^2x + cos^2x/sinx*cosx
=1/sinx*cosx
=1/cosx * 1/sinx
=secx/sinx
at second last step i changed multiplication sign into divide sign and write the reciprocal of 1/sinx which is sinx.
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
HELPPP ME PLEASE IT’S A VERY IMPORTANT TESTTTTT
Answers
Answer:
B also have a great day today
Answer:
D, Between 5.4 and 6.5
Step-by-step explanation:
anything less than .5 gets rounded down and anything higher gets rounded up so it'll end up with 6
Divide 240 in the ratio 1 : 5
Answers
Answer:
40 : 200
Step-by-step explanation:
1/6 x 240 = 40
5/6 x 240 = 200
Tim wants to buy a new sound system for $145. He has already saved $65. He gets $20 for each lawn that he mows.
Answers
Answer:
4 Lawns
Step-by-step explanation:
Tim need to mow four lawns.
145 - 65 = 80
80 / 20 = 4
Can someone help me with this pls, is super important
Answers
y = 50 degrees
Explanation:
x + 130 = 180 (Angles between parallel lines)
x = 50
y = x = 50 (Corresponding angles)
Which triangle has hypotenuse Side B D?
A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E.
triangle BDA
triangle BDF
triangle BDG
triangle BDH
Answers
Answer:
BDA
Step-by-step explanation:
Answer:
A). BDA
im doing the test rn
Step-by-step explanation:
Can someone please help me
Answers
Answer:
if I am correct the answer should be 2
What is the value of a for the following circle in general form?
x2 + y² + ax + by+c=0
Answers
20. A movie streaming website charges an initial fee of $120, plus $5 for each movie that is
streamed. How many movies must be streamed for the average cost per movie to fall to $7?
a. 10 movies
b. 60 movies
c. 25 movies
d. 120 movies
Answers
Answer: b. 60 movies
Step-by-step explanation:
60 * $5= $300
$300+$120= $420
$420/60= $7
A rug like a rectangle has a width of 3 m . The length of the rug is 2 m greater than its widith . What is the perimeter of the rug in meters
Answers
Answer:
16m
Step-by-step explanation:
Given data
Width = 3m
Lenght = 2+3= 5m
We know that the expression for perimeter is
P= 2L+2W
Substitute
P= 2*5+ 2*3
P= 10+6
P= 16 m
Hence the perimeter is 16m
Can someone isolate the variable “n” and show steps?
Answers
Answer:
n= s/180 +2
Step-by-step explanation:
s=(n-2)180
/180
s/180=n-2
+2
s/180 +2 =n
The sails of two boats are pictured below. What is the value of y?
Answers
Answer:
C 70
Step-by-step explanation:
since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.
remember, the sum of all angles in a triangle is always 180 degrees.
so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore
y = 180 - 90 - 20 = 70
Solve for x . Enter the solutions from least to greatest. x^2 + 3x - 4 = 0
Answers
Answer:
x^2+(4-1)x-4=0
x^2+4x-x-4=0
x(x+4)-1(x+4)=0
(x-1)(x+4)=0
either (x-1)=0 Or,(x+4)=0
x-1=0
x=0+1
x=1
x+4=0
x=0-4
x=-4
therefore x=-4,1
Step-by-step explanation:
The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).
In this case, a = 1, b = 3, and c = -4, so we have:
x = (-3 ± √(3² - 4(1)(-4))) / 2(1)
x = (-3 ± √(25)) / 2
x = (-3 ± 5) / 2
x₁ = (-3 + 5) / 2 = 1
x₂ = (-3 - 5) / 2 = -4
Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.
Learn more about Factors here:
https://brainly.com/question/24182713
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The table shows the number of cars sold per day at a dealership during a promotional sale.
What is the equation of the least-squares regression line, where Y hat is the predicted number of cars sold and x is the day? Round each coefficient or constant to the nearest tenth.
Answers
Answer:
We need the table
Step-by-step explanation:
Answer:
.1 ; 1.8x
y=1.8x + .1
==============
The next question, where it asks for "The table shows the number of kilograms a newborn pig weighs during its first week.
" is y=.18x + .96
[this is the next question and so fourth]
and for the one after this question with three options, it is:
21.12; 0.14; 35
then for the one after that one, it is:
64.6; -20.2; 28
then for the one after that one, it is:
(A) 5.2 + 2.2x scoring 1 point
then the one after that one, it is:
(D) 14.92 - 0.02x scoring 0 point
then the one after that one, it is:
r = .50
and last but least,
As budgets increased, the gross revenue increased; r = 0.62. (C)
==============
ED2021
here to fix statistics for you :)