Answer:
EF = 13
Step-by-step explanation:
Opposite sides of a parallelogram are of equal lengths (properties of a parallelogram)
Therefore,
EF = DG
x + 3 = 2x - 7 (substitution)
Collect like terms
x - 2x = -3 - 7
-x = -10
Divide both sides by -1
x = -10/-1
x = 10
✔️EF = x + 3
Plug in the value of x
EF = 10 + 3
EF = 13
A drawer contains 2 Red Socks, 7 White Socks, and 9 blue sock Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the first sock and the second sock are both red?
Answer:
1/153
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
probability that the first sock and the second sock are both red = (number of red socks /total number of socks) x (number of red socks /total number of socks)
At the first pick, the probability = 2/18
At the second pick because there is no replacement, there would be 1 red socks and 17 socks = 1/17
2/18 x 1/17 = 1/153
Can someone help me with this?
Answer:
Step-by-step explanation:
We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is
n + q = 53
The VALUE equation relates how much each coin is worth to the total amount of money it equals:
.05n + .25q = 5.65.
Go back to the first equation and solve it for either n or q. I solved it for n:
n = 53 - q
Plug this into the second equation in place of n now to get:
.05(53 - q) + .25q = 5.65 and
2.65- .05q + .25q = 5.65 and
.20q = 3 so
q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are
n + 15 = 53 nickels and
n = 38 nickels.
The area of the trapezium above is 22 cm².
What is the value of x ?
Answer:
4cm
Step-by-step explanation:
Given area= 22cm²
Height =4cm
Parallel sides = xcm and 7cm
Area of trapezium = ½( sum of parallel sides) x height
22cm² = ½(xcm+7cm)×4cm
22cm²= ½ ( x+7)cm x 4cm
opening the bracket
22cm²= 4x+28/ 2
cross multiply
44cm²=4x+28
4x=44-28
4x=16
x=4cm
help, don't guess. tyyyy
Answer:
[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]
0 (zero)
Step-by-step explanation:
The 8-sided die has numbers less than 9. So, they can never be greater than 9.
Gabriel pays $37.80 for a ticket to a show. The amount includes an 8% sales tax.
What is the price of the ticket without sales tax? Show your work.
Answer:
$34.78
Step-by-step explanation:
37.80 × 8 ÷ 100 = 3.02
37.80 - 3.02 = 34.78
Helppppp fasttttt!!
Which statement is true?
can someone help me pls?
Point R is located at (1, 2) on a coordinate grid. Point S is located at (4, 5) on the same
coordinate grid. What is the distance from point R to point S, rounded to the nearest tenth?
A. 3.2 units
B. 4.6 units
C. 7.6 units
D.
10.0 units
Answer:
4.2 units
most likely answer choice B
Step-by-step explanation:
(1, 2) and (4, 5)
To find the distance between two points, we use the distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]
Let's plug in what we know.
[tex]d = \sqrt{(4 - 1)^2 + (5 - 2)^2 }[/tex]
Evaluate the parentheses.
[tex]d = \sqrt{(3)^2 + (3)^2 }[/tex]
Evaluate the exponents.
[tex]d = \sqrt{(9) + (9) }[/tex]
Add.
[tex]d=\sqrt{18}[/tex]
Evaluate the radical.
d = 4.24
Round to the nearest tenth.
d = 4.2 units
*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.
Hope this helps!
Answer:
C. 7.6 units
Hope it helps!
What is the total area, in square meters, of the shaded sections of the trapezoid
below?
7 m
9.9 m
10 m
8.6 m
Answer:
84.5m would be the area
Step-by-step explanation:
7m, 10m = 35m
9.9m, 10m= 49.5m
35m + 49.5m+ 84.5m
Select all expressions that are equivalent to
2x + 5(–4x + 10) - (x + 4).
Show your work in the sketch pad that supports your
answer.
(Select all that apply.)
27x + 54
-19x + 46
2x - 30x + 50 - x - 4
2x + 30x + 50 - x +4
2x + 5(–4x + 10) - (x + 4).
-4+10=14
x+4=5-9
2x+5=7x
7+9=18
18-14=4
4 is your answer
PLEASEEE HELP MEEEE
NO LINKSSS
Answer:
[tex]\huge\boxed{(2,\ 3);\ (-1,\ 6)}[/tex]
Step-by-step explanation:
[tex]f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right[/tex]
substitute (1) to (2):
[tex]x^2-2x+3=-x+5[/tex] add x to both sides
[tex]x^2-2x+x+3=-x+x+5[/tex]
[tex]x^2-x+3=5[/tex] subtract 5 from both sides
[tex]x^2-x+3-5=5-5[/tex]
[tex]x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}[/tex]
substitute the values of x to (2):
[tex]x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}[/tex]
I need help with this question
Answer:
umm If im correct it is E!!
Central Angles and Arc Measures Practice
What is X?
Answer: [tex]5^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\angle DIE=(18x-2)^{\circ}\\\angle DIH=15^{\circ}\\\angle FIG=103^{\circ}[/tex]
from the figure
[tex]\angle HIE=\angle GIF\quad [\text{vertically opposite angles}]\\\angle HID+\angle DIE=\angle GIF\\15^{\circ}+(18x)^{\circ}-2^{\circ}=103^{\circ}\\(18x)^{\circ}=103^{\circ}-13^{\circ}\\\\x=\dfrac{90^{\circ}}{18}\\\\x=5^{\circ}[/tex]
How do I find the domain and range of y= -(x-2)^2+3?
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.
Step-by-step explanation:
please let me know if I did it good and lmk if I did anything wrong ( finding area )
Find the area of the shaded region. Round to the nearest hundredths place when necessary.
please show work
Answer:
450.25 sq in
Step-by-step explanation:
Subtract area of triangle from area of circle
Area of Triangle:
need to get the radius (which we will use as the height) and double the radius to get the base
Pythagorean Theorem:
21² + 20² = c²
441 + 400 = c²
c = [tex]\sqrt{841}[/tex] which is 29
A(Δ) = 1/2(29)×14.5
= 210.25
Area of Circle:
A = π(14.5²)
= 660.52
Difference = 660.5 - 210.25 = 450.25
John is trying to convert an area from meters squared to millimeters squared. He multiplied the area he had by
1,000 and got the wrong answer. What should he have multiplied the original area by?
A) 100
B) 1,000
C) 1,000,000
D) 10
Answer:
1,000,000
Hope this helps <3
Plz help fast will mark brainliest!!!
x-4 in word form
Please help it’s due today!
Answer:
x minus four
Step-by-step explanation:
PLEASE HELP. NO SCAMMERS
the storm trooper camp is open for 7 and 1/2 hours a day. The camp keeps one guard on duty at a time, and their shift is 1 and 1/2 hours long. how many shifts are there a day?
Answer:
there are 5 shirts a day
Step-by-step explanation:
you divide the number of hours the camp is open by the time a guard is on duty. 7.5 ÷ 1.5 =5
What is the sum of 0.5 and 0.3 ?
Answer:
0.8
Step-by-step explanation:
5 x 3 = 8 (Add the "0." at the end) That's all, hope it helped!
Answer:
The answer is 0.8. Think of it like a normal number.
Simplify: [tex]\frac{\left(x^{\frac{5}{2}}\cdot 6y^2\cdot \sqrt[3]{y^4}\right)}{12x^{\frac{1}{2}}\cdot \sqrt[4]{x^3}}[/tex]
Answer:
[tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]Step-by-step explanation:
[tex]\frac{x^{\frac{5}{2} }*6y^2*\sqrt[3]{y^4} }{12x^{\frac{1}{2}}*\sqrt[4]{x^3} } =[/tex] [tex]\frac{x^{ \frac{5}{2} }6y^2y^{ \frac{4}{3} } }{12x^{ \frac{1}{2} }x^{ \frac{3}{4} }} =[/tex][tex]\frac{1}{2} x^{\frac{5}{2} - \frac{1}{2} - \frac{3}{4}}y^{2+\frac{4}{3}}=[/tex][tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]What is 80% of 72 ? pls help due today
Answer:
Step-by-step explanation:
57.6
Answer:
57.6
Step-by-step explanation:
You multiply 72 by .8 because you have to change the percent into a decimal place to multiply it by. 0.8 is 80 hundredths and fractions are numbers out of 100. I hope I could help you :)
help please!! like asap
Can anyone answer this ASAP
Answer:
650 ft^2
Step-by-step explanation:
Without the gap, the area of the rectangle is 20ft x 35ft = 750 ft^2. The gap is a square having 10ft on the side so its area is 10ft x 10ft = 100 ft^2. Subtracting the area of the square gap from the rectangle gives you 650 ft^2.
prove that the sum of two consecutive exponents of the number 5 is divisible by 30. If N ia the smaller of two consecutive exponents, then the sum of two consecutive exponents of 5 is equal to _ *30, and therefore is divisible by 30.
Answer:
5^n-1
Step-by-step explanation:
5^n-1*30
In rectangle MNOP, MO = 4x - 10 and NP = 2x + 4.
What is the length of a diagonal?
Answer:
18
Step-by-step explanation:
From the rectangle, M O = NP
4x - 10 = 2x+4
4x-2x = 4 + 10
2x = 14
x = 14/2
x = 7
SInce MO and NP are the diagonal
Length of diagonal = 4x- 10
Length of diagonal = 4(7) - 10
Length of diagonal = 28 - 10
Length of diagonal = 18
hence the required length is 18
the product of twice a number and one less than that same number
Answer:
(2n)*(n-1)
Step-by-step explanation:
What is 78,400,000 expressed in scientific notation
The scientific notation of 78,400,000 will be 7.84 × 10⁷.
What is the law of indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable.
For example 5³ = 5²5 here we break 5³ into 5² and 5 so it is called the law of indices.
An algebraic expression is a quantity made up of symbols and processes + - / and multiplication Expressions utilizing indices are made simpler using the laws of indices.
Scientific notation of any number is given in form of a.bcde...× 10^something
Given the number,
78,400,000
Multiply and divide by 10⁷
⇒ 78,400,000 × 10⁷/10⁷
⇒ 7.84 × 10⁷.
Hence "The scientific notation of 78,400,000 will be 7.84 × 10⁷".
To learn more about indices,
https://brainly.com/question/170984
#SPJ1
helpppppp meeeeeeeee
Answer:
True
Step-by-step explanation:
This is so basic haha but happy to help