ΔAGF ≅ ΔCGE because they are both created from perpendicular diagonals that are intersected at the midpoint by line FE.
What are Perpendicular lines?A perpendicular line is a straight line that is at right angle with another line. That is both lines intersect each other at right angles.
Lines EG and FG are ≅ because the are dissected by a line that runs through the diagonal of rectangle ABCD
Lines JK ≅ HL because they are both created by parallel lines JL and HI.
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How is adding integers similar to adding whole numbers? How is it different?
Answer:
an integer is a whole number so adding integers is the same as adding whole numbers
In a 75-minute study period, Ling needed to finish a research paper she spent 3/5 of the time finishing her paper how much time did she have left to complete her history homework?
I am thinking of a number. I subtract 10 then divide by 2 and now have 19 what was my original number
Answer:
x=48
Step-by-step explanation:
(x-10)÷2=19
x-10 =19
2
(x-10)×2 =19×2
2
x-10=19×2
x-10=38
x=38+10
x=48
Write 149,597,870,700 in scientific notation with 3 significant figures
Answer:
1.50 x 10^11.
Step-by-step explanation:
There 11 digits after the 1 so it is:
1.50 x 10^11.
(1495 to 3 s. f. is 150)
ICE CREAM For Exercises 5 and 6, use the
following information provided in the
table.
Toppings
Ice Cream (Scoop)
Sprinkles
Hot Fudge
Whipped Cream
Nuts
Cost
x dollars
$0.25
$0.75
$0.50
$0.35
5. Ten kids each order a scoop of ice
cream. Five of the kids add sprinkles,
3 add nuts, and 2 add nothing extra.
Write and simplify an expression that
represents the total cost.
So, the simplified expression that represents the total cost is 8(x + 0.34375) dollars.
What is cost?Let x be the cost of one scoop of ice cream without any toppings. Then the total cost for each kid who adds sprinkles is x + 0.25, the total cost for each kid who adds nuts is x + 0.35, and the total cost for each kid who adds nothing extra is x.
Therefore, the total cost for the 10 kids is:
5(x + 0.25) + 3(x + 0.35) + 2x = 8x + 2.75
Simplifying this expression, we get:
8x + 2.75 = 8(x + 0.34375)
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complete the table of values for y=2xsquared+x
The solution of y= [tex]2x^{2} +x[/tex] given as:
x: 0 1 2 3
y: 0 3 10 21
What is Linear Equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given function is:
y= [tex]2x^{2} +x[/tex]
For finding the solution of above expression, take value of x and solve for y.
If x=0y= 2(0)+0
y=0
If x=1,y= [tex]2(1)^{2} +1= 3[/tex]
If x=2y=[tex]2(2)^{2} +2=10[/tex]
If x=3y= [tex]2(3)^{2} +3=21[/tex]
The required table is:
x: 0 1 2 3
y: 0 3 10 21
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James bought a movie ticket for $4.05. He
paid the movie ticket with quarters and
dimes. If James used 18 coins in all, how
many quarters (q) and dimes (d) did he use?
q+d=18
Please answer fast!!! Will give Brainliest!!!
What is the name of the following solid figure?
square pyramid
square prism
rectangular prism
cube
у
6
-8
Identify the vertex, focus, and directrix of the graph. Which of the following equations represents the parabola in the graph?
O
y-- (x+38 – 4
O
yo (x=38 - 4
O
*--(+33 - 4
X-
The equation of the parabola will be y = 1/8(x- 3)² - 4. Then the correct option is B.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
Identify the vertex, focus, and directrix of the graph.
Then the equations representing the parabola in the graph will be
y = a(x - h)² + k
Then the vertex is at (3, -4). Then we have
y = a(x - 3)² - 4
For x = 0, the value of y will be -2.875.
-2.875 = a(0 - 3)² - 4
a = 1/8
Then the equation of the parabola will be
y = 1/8(x- 3)² - 4
Thus, the correct option is B.
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Write an expression for "the quotient of 999 and c."
Answer:
"quotient" indicates division
999 ÷ c = ?
Mallory ordered a pizza with a 17-inch diameter. ricky ordered a pizza with a 20-inch diameter. what is the approximate difference in the area of the two pizzas?
Answer:
Ok so, pizza one is 17 inches in diameter, which in order to find area of a circle/circumferences, you first need to divide by 2, in this case 17/2=8.5, then square it, 8.5*8.5=72.25, then multiply by PI (3.14 in this case.) 72.25*3.14=226.865 which can round up to 227. Or 226.9
Step-by-step explanation:
Divide by 2
Square
Multiply by pi. (3.14)
A recipie requires 3/4 lbs of onions to make 3 servings of soup. Mark has 1 1/2 lbs of onions. How many servings can Mark make?
Answer:
4 1/4 lbs of onions = 1llb so there are 4 x 3 servings = 12 servings in 1 lb 6 servings in 1/2 lb total of 12+6= 18 servings you can also use ratio and proportion converted to decimals to eliminate fractions ,25/3= 1.5/x cross multiply .25x= 4.5 x=18 hope this helps
Step-by-step explanation:
f(x) = 4(4 + x) whats the answer? and would that be the constant rate?
Answer:
f(x)=16+ 4x
the constant rate would be 4
Step-by-step explanation:
Answer: y=4x+16
Step-by-step explanation:
sin³ 0 +cos³0 / sin 0+ cos 0 = 1-sin 0 cos 0
Answer:
Step-by-step explanation:
SHOW THAT:
sin³ 0 +cos³0 / sin 0+ cos 0 = 1 - sin 0 cos 0
Now, using the identity a^3 + b^3 = (a + b)(a^2 + b^2 - ab):
sin³ 0 +cos³0 = (sin 0 + cos 0)(sin² 0 +cos²0 - sin0 cos 0)
As sin² 0 +cos²0 = 1 we have:
sin³ 0 +cos³0 = ( sin 0 + cos 0)(1 - sin0 cos 0)
So we can write the left side of the original expression as
( sin 0 + cos 0)(1 - sin0 cos 0) / (sin 0+ cos 0)
= 1 - sin0 cos 0 = Right side
= and we are done!.
CAN U HELP ME PLS I'LL MARK U BRAINLIST
Answer:
64
Step-by-step explanation:
Please help I don’t get this:
Select the correct answer.
The weight of radioactive material, f(x),is based on the number of days the material has been exposed to the elements, X. An exponential
regression equation relative to the weight of the material is f(x) = 80.402 • 0.931^x. Based on this equation, approximately what is the weight of the radioactive material after 2 days?
OA 5
ОВ.-20
OC 28
OD. 70
Answer:
use half-life formula!
Step-by-step explanation:
for exponential word problems, lots of them use the half life formula.
hope this helps :)
Answer:
C 28
Step-by-step explanation:
:)
What are Nilpotent groups?
Answer:
that is your answer hope this helps u
Find the measure of the indicated angle to the nearest degree.
Answer:
62°
Step-by-step explanation:
We use the fact that the ratio of the sides of the triangle to the angles opposite them is given by the Law of Sines:
"In any triangle, the ratio of a side length to the sine of its opposite angle
is the same for all three sides"
[tex]\frac{a}{sinA} = \frac{b}{sinb} =\frac{c}{sinC}[/tex]
where A is the is the angle opposite side a, B the angle opposite to side b, C is the angle opposite to side c
For the given triangle we get
44/sin90 = 39/sin?
sin90 is 1 so we get 44/1 = 39/sin?
or cross-multiplying,
sin? = 39/44 = 0.886363..
? = sin⁻¹ (0.886363) = 62.42° ≈ 62° answer
Answer:
? ≈ 62°
Step-by-step explanation:
using the sine ratio in the right triangle
sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{39}{44}[/tex] , then
? = [tex]sin^{-1}[/tex] ( [tex]\frac{39}{44}[/tex] ) ≈ 62° ( to the nearest degree )
One month Jessica rented 4 movies and 8 video games for a total of $61. The next month she rented 2 movies and 3 video games for a total of $25. Find the rental cost for each movie and each video game.
Answer:
A movie costs $4.25 and a video game $5.5.
Step-by-step explanation:
Step 1: Form the equations.
Let m be the price of a movie and v the price of the video game.
First equation: One month Jessica rented 4 movies and 8 video games for a total of $61.
[tex]4m + 8v = 61[/tex]
Second equation: The next month she rented 2 movies and 3 video games for a total of $25.
[tex]2m + 3v = 25[/tex]
Step 2: Solve the system of equations.
[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 2m + 3v = 25[/tex]
I'm going to solve them by elimination. I'll multiply the second equation with two so I get 4m.
[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 4m + 6v = 50[/tex]
Now I'm going to subtract the second equation from the first.
[tex](4m + 8v) - (4m + 6v) = 61 - 50[/tex]
And solve.
[tex]8v- 6v = 61 - 50\\2v = 11\\v = \frac{11}{2}\\v = \$5.5[/tex]
Now let's insert v back in second equation to get m (nicer numbers, you can insert in first too if you want).
[tex]4m + 8v = 61\\4m + 8(5.5) = 61\\4m + 44 = 61\\4m = 61 - 44\\4m = 17\\m = \frac{17}{4}\\m = \$4.25[/tex]
Check all statements that are true. If none are true click “None”
A- Since it is a repeating decimal, 14.19 is irrational.
B- Since it is a terminatingdecimal, 12.19 is rational.
C- Since 16 is a perfect square,
16 is irrational
D- Since 6 is not a perfect square, 6 is rational.
E- Since it’s a ratio of two integers 11/3 is rational
Answer:
B and E are True.
Step-by-step explanation:
B 12.19 is a terminating decimal so it is rational.
E its a ratio of 2 integers so its rational.
A - is not repeating so this is false.
C. a perfect square is rational - 16 can be written as 16/1.
D. 6 is rational because it can be written as 6/1 not because its not a perfect square.
Some newer phones provide a screen time summary, which shows the amount of screen time for a user in a given week. A student would like to estimate the mean screen time for all phone users. She asks a random sample of 50 students at her school to share their screen time for the past 24 hours. The mean screen time for the chosen students is 2.73 hours. Which statement is an appropriate interpretation of the results?
A.)All students probably have screen times close to 2.73 hours.
B.)To obtain a better estimate of mean screen time, more students should be surveyed.
C.)Because of undercoverage, 2.73 likely underestimates the mean screen time of all phone users.
D.)2.73 hours is a suitable estimate for mean screen time of all phone users because a random sample was taken.
Answer:
c
Step-by-step explanation:
got it right on edge
Simplify the expression. Write your answer as a power.
64⁴/64³
The simplified expression is
Answer:
[tex]64^1\:\text{or}\:64[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{64^4}{64^3}=64^{4-3}=64^1=64[/tex]
Step-by-step explanation:
64^4/64^3= 64^(4-3)= 64^1= 64
Which expression is equivalent to startfraction (2 m n) superscript 4 baseline over 6 m superscript negative 3 baseline n superscript negative 2 baseline endfraction? assume m not-equals 0, n not-equals 0.
The equivalent expression of [tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex] is [tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex]
How to determine the equivalent expression?The expression is given as:
[tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex]
Evaluate the expression on the numerator
[tex]\frac{16m^4n^4}{6m^{-3}n^{-2}}[/tex]
Divide 16 by 6
[tex]\frac{8m^4n^4}{3m^{-3}n^{-2}}[/tex]
Apply the law of indices
[tex]\frac{8m^7n^6}{3}[/tex]
Hence, the equivalent expression of [tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex] is [tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex]
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Please help asap
trevon is helping his sister study for her geometry test while staying at a hotel.
how can trevon use the hotel's third floor, sixth floor, and the elevator to illustrate the concepts of parallel and perpendicular?
a.
the hotel floors are perpendicular to each other, and the elevator moves in a path that is parallel to them both.
b.
the hotel floors are perpendicular to each other, and the elevator moves in a path that is perpendicular to them both.
c.
the hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.
d.
the hotel floors are parallel to each other, and the elevator moves in a path that is parallel to them both.
She should fart 10 times
I tried my best!!!! Hope this helps :D
please help best answer will be brainliest
Answer:
A
Step-by-step explanation:
A fireball
Which could be the missing data item for the given set of data if the median of the complete data set is 50?
21 23 60 60 50 54 54 59 26 15 43 15
A. 18
B. 24
C. 45
D. 57
Answer:
D. 57
PLEASE GIVE BRAINLIEST THANK YOU!!!
Write the following without the absolute value sign: |a^3|, if a<0
Answer:
the answer will be the number 8
can someone help me with this
Step-by-step explanation:
[tex]2p + 2p + 2p + 60 = 360 \\ 6p = 360 - 60 \\ 6p = 300 \\ p = \frac{300}{6} \\ p = 50[/tex]
Breanna purchased 8 oranges for $10.00. Jonathon purchased 6 oranges for $8.00. What was the unit rate for each purchase?
Answer:
Step-by-step explanation:
breanna's oranges were $1.25
jonathon's oranges were $1.33
To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards
The perimeter of the picnic area is 107 yards
Complete Question:A triangular picnic area has the side lengths of 45, 31 and 31 yards; To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards
How to determine the perimeter?From the complete question, we have:
Shape: Triangle
Side lengths = 45 yards, 31 yards, 31 yards
The perimeter is the sum of the side lengths.
So, we have:
Perimeter = 45 + 31 + 31
Evaluate
Perimeter = 107
Hence, the perimeter of the picnic area is 107 yards
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Answer:B
Step-by-step explanation:
107 Yards