Step-by-step explanation:
It is a cyclic quadrilateral.
The sum of interior angles of this polygon is equal to 180 degrees.
ATQ,
2x+26y=180
x+13y=90 ....(1)
3x+21y=180
x+7y=60 ....(2)
Subtract equation (1) from (2).
x+7y-(x+13y) = 60-90
x+7y-x-13y=-30
-6y=-30
y = 5
Put the value of y in equation (1
x+13(5) = 90
x+65=90
x = 90-65
x = 25
So,
∠DAB = 26y = 26(5) = 130°
∠ABC = 3x = 3(25) = 75°
∠BCD = 2x = 2(25) = 50°
∠ADC = 21y = 21(5) = 105°
x = 25, y = 5
m∠DAB = 26(y) = 180°
m∠ABC = 3x = 75°
m∠BCD = 2x = 50°
m∠ADC = 21y = 105°
Property of a cyclic quadrilateral: Sum of the opposite angles of a cyclic quadrilateral is 180°.
From the picture attached,
ABCD is a cyclic quadrilateral. m∠A = 26y°, m∠B = 3x°, m∠C = 2x° and m∠D = 21y°By using the property of cyclic quadrilateral,
m∠A + m∠C = 180°
26y + 2x = 180
13y + x = 90 --------(1)
m∠B + m∠D = 180°
3x + 21y = 180
x + 7y = 60 --------(2)
Subtract equation (2) from (1),
(13y + x) - (x + 7y) = 90 - 60
6y = 30
y = 5
Substitute y = 5 in equation (1),
13(5) + x = 90
x = 90 - 65
x = 25
Substitute the values of 'x' and 'y' to get the measures of the angles,
m∠DAB = 26(y) = 180°
m∠ABC = 3x = 75°
m∠BCD = 2x = 50°
m∠ADC = 21y = 105°
Therefore, values of the variables will be,
x = 25, y = 5
m∠DAB = 26(y) = 180°
m∠ABC = 3x = 75°
m∠BCD = 2x = 50°
m∠ADC = 21y = 105°
Learn more about the cyclic quadrilateral here,
https://brainly.com/question/24142962?referrer=searchResults
A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are in the box plot shown. How many cars were going between 40 and 48 miles per hour? I know the answer but I need to know how to do it
Answer: 25 cars
Step-by-step explanation:
This is a box plot and it is a useful graph for showing the minimum, maximum, median and quartile values of a data distribution.
The box you see in the middle is the Interquartile range. In other words, the first line on the box is Q1 and the line at the end of the box is Q3.
The line in the middle of the box is the median or Q2.
The distance between Q1 and the median is 25%.
The number of cars between 40 and 48 miles per hour is therefore 25% of the total.
= 100 * 25%
= 25 cars
Answer:
25 cars
Step-by-step explanation:
Took the diagnostic
The first lap of an auto race is 2,500 meters. This is 10% of the total race distance. What is the total race distance?
Answer:
25,000
Step-by-step explanation:
.10(x) = 2,500
X = 2,500/(.10)
X=25,000
The length of the total race track is 25000 meters.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Let, 'x' be the total distance.
Therefore, From the given information 10% x is 2500 meters, This can be numerically expressed as,
(10/100)×x = 2500.
0.1x = 2500.
x = 25000.
Learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
If f(x) = 4x^3 + 5, then what is the remainder when f(x) is divided by x-3?
Answer:
4, 5 is the point and I don't think there is a remainder
Step-by-step explanation:
The remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, f(x) = 4x³ + 5 now dividing f(x) by x - 3 = 0 ⇒ x = 3 is the same as replacing x with 3 in f(x).
∴ f(3) = 4(3)³ + 5.
f(3) = 4(27) + 5.
f(3) = 108 + 5.
f(3) = 113.
So the remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.
learn more about factors here :
https://brainly.com/question/28315959
#SPJ2
One batch of cookies requires two eggs and two and a half cups of flour. How many cups of flour are needed to make three and a half batches of Cooke's?
Answer:
7 1/2
Step-by-step explanation:
please help nobody's been answering this is urgent!!!
find the value of x and y
Answer:
Step-by-step explanation:
Set 5x+6 equal to 7x+4 and solve for x
x=1
11+y+6=180
y=180-17 which you know
evaluate the expression x+4x-3+3x^2-2x when x = 5
Given:
The expression is
[tex]x+4x-3+3x^2-2x[/tex]
To find:
The value of given expression when x=5.
Solution:
We have,
[tex]x+4x-3+3x^2-2x[/tex]
Substituting x=5 in the above expression, we get
[tex]=(5)+4(5)-3+3(5)^2-2(5)[/tex]
[tex]=5+20-3+3(25)-10[/tex]
[tex]=5+20-3+75-10[/tex]
On further simplification, we get
[tex]=(5+20+75)+(-3-10)[/tex]
[tex]=100+(-13)[/tex]
[tex]=100-13[/tex]
[tex]=87[/tex]
Therefore, values of the given expression at x=5 is 87.
y 1
6
4
2
-4
-2
2
4
-2
-4
V
-6
What are the coordinates of point V?
O A. (3,4)
O B. (3,-4)
Oc. (-3,-4)
OD. (-4,-3)
O E. (-4,3)
PLZ ANSWER TvT Maria's Grocery store buys grapefruit at a cost of 5 for $1. They sell at a price of 5 for $3. How many must they sell to make a $10 profit.?
Answer:
if you want the exact number that will be 3.3 but if you want it rounded it will be 4
1/6 x 8 + 2/3 x 9/8 =
Answer:
A
Step-by-step explanation:
do the multiplication first
Answer:
25 /12
Step-by-step explanation:
its the first one.
I did it on math_way
HELP DUE in 20 MIN
m∠10 =
Answer:
Angle 1, 4, 5,7,10,12,13,15 : 133°
Angle 2,3,6,8,9,11,14,16 :47°
Step-by-step explanation:
Answer:
133°Step-by-step explanation:
∠10 = 180° - ∠9∠9 ≅ ∠6 ≅ ∠2 = 47°So
∠10 = 180° - 47° = 133°31 29 33 37 43 38 33 40
What is the mode of these numbers
Answer:
33 is the mode of these numbers.
Step-by-step explanation:
The only number which appears multiple times is 33, so it is the mode.
I hope it helps ❤❤
can i have help combine liked terms :
r ( r+s ) -2 r ^2 +rs-s( s-3r )
Answer:
-3r^2+5r+4rs-s^2
Step-by-step explanation:
expand the brackets
and collect like terms
find the equation of the line. use exact numbers.
Find the value of x.
9514 1404 393
Answer:
(b) 48
Step-by-step explanation:
In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.
x = √(36·64) = √36×√64 = 6×8
x = 48
_____
All of the triangles are similar, so the ratios of corresponding sides are the same.
short side/long side = x/64 = 36/x
x^2 = (64)(36) . . . . as above
I posted one question at parts pls help me answer it!!!!!
Answer:
i'll try my best to help !!
An equation is shown 3/5k=225. what is the value for k that makes the equation true?
Answer:
.0024
Step-by-step explanation:
3 = 225 x 5k
3/255 = 5k
5k = 0.117
k=0.0024
Alexander invested $320 in an account paying an interest rate of 1.5% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 18 years?
Answer:
$406.40
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 1.5%/100 = 0.015 per year.
Solving our equation:
A = 320(1 + (0.015 × 18)) = 406.4
A = $406.40
I need help. Please anyone help :D
Answer:
I say 1. and 2
Step-by-step explanation:
Have a good day :3
If m<10=75, m<7=46 and m<16=136, find the measure of each missing angle.
Answer:
See answers below:
Step-by-step explanation:
Using corresponding angles properties, angles opposed by the vertex, and supplementary angle properties, we get:
<1 = 75 degrees
<2 = 105 degrees
<3 = 44 degrees
<4 = 136 degrees
<5 = 44 degrees
<6 = 90 degrees
<7 = 46 degrees
<8 = 75 degrees
<9 = 105 degrees
<10 = 75 degrees
<11 = 59 degrees
<12 = 46 degrees
<13 = 75 degrees
<14 = 105 degrees
<15 = 44 degrees
<16 = 136 degrees
<17 = 44 degrees
<18 = 136 degrees
What is the value of h(2)? -2 -1 0
3
Answer:
The answer is 0
Step-by-step explanation:
Or c on edge.
WILL GIVE BRAINLIEST TO CORRECT ANSWER!!
Answer:
Intersecting: y = 8x + 10, y = -1/8x + 10 (f, g)
Parallel: x + y = 5, 7x + 7y = 14 (eq2, eq3); y = 2x + 8, -y = -2x + 6 (p, eq4)
Perpendicular: y = 8x + 10, y = -1/8x + 10 (q, r); 4x + 10y = 6, y = 5/2x + 7 (eq1, h).
None go under Same.
Step-by-step explanation:
In case you're confused:
The line labeled f goes with g. The line labeled q goes with r.
(f, g) is red.
(eq1, h) is orange.
(eq2, eq3) is yellow.
(p, eq4) is green.
(q, r) is blue.
All lines are in the attachment below.
I'll give brainliest to whoever answers first
Answer:
5) 6
6)-70
7)5
8)-295
9)1
10)4
Step-by-step explanation:
5)10-4=6
6)-3(-5)^2+5=-70
7)-3(0)^2+5=5
8)-3(10)^2+10=-295
9)1/5=0.2
0.2(-5)+2=1
10)0.2(10)+2=4
Decimal or fraction form round all the way!
Answer:
The answer to the question provided is
[tex] \frac{1}{4} [/tex]
What is the solution to the system of equations?
4x-5y=-2
X=15-4y
34. This is because you can just use a calculator
If M is the midpoint of AB, A(-3, 4) and M(-1, 2) find the coordinates
of B.
Answer:
B(1,0)
Step-by-step explanation:
The midpoint of (a,b) and (c,d) is ((a+c)/2,(c+d)/2)
Essentially, you just average the x and y values.
So, the average of -3 and b_x is -1.
The average of 4 and b_y is 2.
So x=1 and y=0
Doing an Algebra assignment that is due today, I have multiple problems I need help with, I'm posting 5 questions at a time since I can't post them all.
Answer:
1) 8x^2-10x-7
2) 30[tex]x^{9\\}[/tex]- 60[tex]x^{5}[/tex]
3) -10y^6 - 45y^5 + 25y^4
4) 30x^9 - 60x^5
5) 30x^9 - 60x^5
Step-by-step explanation:
1) (2x+1)(4x-7), we will multiply each term from the first parenthesis against every term in the second.
2x*4x = 8[tex]x^{2}[/tex], 2x*-7 = -14x
1(4x-7) = 4x-7.
8x^2-14x+4x-7 = 8x^2-10x-7
2) 10[tex]x^{5}[/tex](3x^4-6)
10x^5(3x^4) = 30x^9
10x^5(-6) = -60x^5
30[tex]x^{9\\}[/tex]-60[tex]x^{5}[/tex]
3) -5y^4(2y^2+9y-5)
-5y^4(2y^2) = -10y^6
-5y^4(9y) = -45y^5
-5y^4(-5) = 25y^4
-10y^6 - 45y^5 + 25y^4
4) 10x^5(3x^4 - 6)
10x^5(3x^4) = 30x^9
10x^5(-6) = -60x^5
30x^9 - 60x^5
5) (3y - 5z)(8y - 3z) =
3y*8y = 24y^2
3y*(-3z) = -9yz
-5z(8y) = -40yz
-5z(-3z) = 15z^2
24y^2 + 15z^2 - 49yz
what is the GCF of 6n^3, 18n^4, 36n^2
Answer:
6n^2 or 6n squared
Step-by-step explanation:
To find the greatest common factor we have to first find out all the factors for every other number.
Factors - Numbers you can multiply to find that number.
For example, we have 6n^3 what numbers can be multiplied to find that number?
Write an expression of the perimeter of the rectangle.
help asap
16c^2+ 18c+5
Factor Each Trinomial.
Answer:
(2c +1)(8c+5)
Step-by-step explanation:
I got my answer based off how i understood the problem.
The discount on a pair of socks is 15%. The socks are on sale for $17. What was the original price of the socks?
Answer:
$19.55
Step-by-step explanation:
17*0.15=2.55
17+2.55=19.55
Answer:
$20
Step-by-step explanation:
The original price is p.
Now, a discount of 15% is = 100%-15% = 85% of the original price.
0.85p = 17
p = 17/0.85
p = 20
$20