Answer:
It has exactly 3 congruent sides.
Step-by-step explanation:
Since ∠FGJ = ∠JGH = 30° and GJ is a perpendicular bisector of FH, ∠GJF = 90°. So in ΔFGJ, ∠FGJ + ∠GJF + ∠GFJ = 180°.
So, 30° + 90° + ∠GFJ = 180°
120° + ∠GFJ = 180°
∠GFJ = 180° - 120°
∠GFJ = 60°
Also, since GJ is the perpendicular bisector of FH, ∠GJH = 90°. So in ΔJGH, ∠JGH + ∠GJH + ∠JHG = 180°.
So, 30° + 90° + ∠JHG = 180°
120° + ∠JHG = 180°
∠JHG = 180° - 120°
∠JHG = 60°
Since ∠FGH = ∠FGJ + ∠JGH = 30° + 30° = 60°
Since ∠FGH = ∠GFJ = ∠JHG = 60°
So, ΔFGJ is an equilateral triangle. Since all its angles are equal, so also, all its sides are equal. So, ΔFGJ is congruent by SSS and AAA so its 3 sides are congruent.
So exactly 3 sides are congruent in ΔFGJ.
Answer:
It has exactly 3 congruent sides
Step-by-step explanation:
took the unit test on edg 2020
The
numbers are {0, 1, 2, 3, 4, ...}.
whole
rational
natural
real
integer
Answer:
Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…
Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…
Step-by-step explanation:
17n +5.4 - 3 = 64 solve.
HELP
Answer:
Hey there!
17n+5.4-3=64
17n+2.4=64
17m=61.6
m=3.623529...
Did you make a typo on the question?
I am thinking of two numbers, the sum of the two numbers is 11, their product is 24. What Are My Numbers?
Blank 1:
Blank 2:
Answer:
Hey there!
x+y=11
xy=24
The numbers are 8 and 3.
8 times 3 = 24
8+3=11
Hope this helps :)
Answer: 3 and 8
Step-by-step explanation:
Nifal earned 9$ for washing two cars .He recived $1 more for the second car.How much was he paid for washing each car?Which two numbers have a sum of 9$?
Answer:
Nifal received $ 4 for washing the first car.
Nifal received $ 5 for washing the second car.
4 and 5 have a sum of 9.
Step-by-step explanation:
The problem can be rewritten as follows: Find the sum of two consecutive entire numbers equal to 9. That is:
[tex]x + y = 9[/tex]
[tex]y = x+1[/tex]
Then, by eliminating y:
[tex]x + (x+1) = 9[/tex]
[tex]2\cdot x + 1 = 9[/tex]
Now, let is clear [tex]x[/tex]:
[tex]2\cdot x = 8[/tex]
[tex]x = 4[/tex]
Nifal received $ 4 for washing the first car.
The earning for the second car is: ([tex]x = 4[/tex])
[tex]y = x +1[/tex]
[tex]y = 4 + 1[/tex]
[tex]y = 5[/tex]
Nifal received $ 5 for washing the second car.
4 and 5 have a sum of 9.
the figure shows triangle ABC and some of its transformed images on the coordinate grid. witch of the four triangles was formed by a translation of triangle ABC ?
Complete the table for the graph of the equation x + 2y = -1
x f(x)
-2?
0?
3?
[tex]x + 2y = -1\\x=-2,0,3\\f(x)=y\\[/tex]
plug in each value of x in the function y:
[tex]-2+2y=-1\\2y=1\\y=\frac{1}{2}[/tex]
first point is [tex](-2, \frac{1}{2})[/tex]
so when x = -2, f(x) = 1/2
[tex]0+2y=-1\\2y=-1\\y=-\frac{1}{2}[/tex]
second point is [tex](0,-\frac{1}{2})[/tex]
so when x = 0, f(x) = -1/2
[tex]3+2y=-1\\2y=-4\\y=-2[/tex]
third point is [tex](3,-2)[/tex]
so when x = 3, f(x) = -2
What is the value of x in this equation: 4x + 5 = 3x + 4? Solve the equation using the algebra tiles.
Answer:
x = -1
Step-by-step explanation:
4x + 5 = 3x + 4
-5 -5
4x = 3x -1
-3x = -3x
1x = -1
x = -1
Answer:
x=-1
Step-by-step explanation:
4x+5=3x+4
subtract 3x from both sides of the equation
4x+5=3x+4
-3x -3x
x+5=4
subtract 5 from both sides of the equation
x+5=4
-5 -5
x=-1
a tram moved downward 15 meters in 5 seconds at a constant rate. what was the change in the team's elevation each second?
Answer: 3 meters downward per second
Step-by-step explanation:
If it moved downward 15 meters for every 5 seconds and to find the change in the elevation each second then divide the meters by 5.
15/5 = 3
3 meters per second
Choose the equation that has the
value of the variable furthest from
0 on a number line.
A) -4w= -7
B) 2x=3
C) y-1=-8
D) -1=z+4
Answer:
C) y -1 = -8
Step-by-step explanation:
The solutions to the various equations are ...
w = -7/-4 = 1.75 . . . . . divide by -4
x = 3/2 = 1.50 . . . . . . .divide by 2
y = -7 . . . . . . . . . . . . . .add 1
z = 5 . . . . . . . . . . . . . . add 1
The value farthest from 0 is y = -7, corresponding to choice C.
4/5 of the students in
both classes like
frosted flakes. While
1/10 prefer fruit loops.
How many more
students prefer frosted
flakes?
Answer:
4/5 - 1/10 = 8/10 - 1/10 = 7/10
Step-by-step explanation:
Answer:
The reason why "reposition its product" is the correct answer because Kellogg's is trying to reposition their product in order to make sales. Frosted Flakes was a big time thing for kids, due to the fact that advertisements involved children since Kellogg's target audience were children. Frosted Flakes were pretty much meant for children. Since the product was meant for children, Kellogg's left the people that actually buy the cereal--adults--out of the scene.
Kellogg's releasing advertisements of adults saying how much they loved Frosted Flakes allows viewers to have a thought of going to the store and getting some Frosted Flakes. With the advertisement, they're also trying to target adults because there are a lot of adults in this world, and if they can get adults to buy their product, then their sales will go big. Their goal for the advertisement is to get more sales for the Frosted Flakes product, and they're doing this by having a target audience of adults.
Step-by-step explanation:
Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowance of $40 per week for gas. She knows her weekly earnings can be shown using the following expression: 7.50h + 0.20s + 40 Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week? Show your work to receive full credit. (4 points) Part C: If Corinne gets a raise and begins earning $9 per hour, would the coefficient, variable, or constant in the equation change? Why?
Part A
The coefficient would be the number that is with a variable. The coefficient of 7.50h is 7.50. The variable is h, variables can be a letter or symbol that stands for something in a equation. For this question, h stands for the number of hours Corinne works. The constant is the number that is alone in the equation. That doesn't have a variable with it. In this equation the constant would be the number 40.
Part B
To solve this I will plug in 25 into "h" in and 300 for "s" in the equation 7.50h + 0.20s + 40 and then solve it.
25 × 7.50 = $187.5.
0.20 × 300 = $60
Total: $187.50 + $60 = $247.50 + $40 = $287.50
Part C
If Corrine gets a raise and earns $9 an hour the coefficient would change. It would be 9h instead of 7.50h.
what is b in the equation b-8+2b=20
Answer:
b = 28/3 or 9.3
Step-by-step explanation:
b-8+2b=20
3b-8=20
3b=20+8
3b=28
A hiker travels at 4 miles per hour at a heading of S 35° E from a ranger station. After 3
hours how far south and how far east is the hiker from the station?
Answer:
First, let's define our coordinates.
Let's call East as the positive x-axis and North as the positive y-axis.
Now the data that we have is:
Speed = 4 mph
Time = 3 hours.
Then the total distance traveled is:
D = 4mph*3h = 12 miles.
We also know that the angle is S 35° E.
(from east, 35° to south)
So we can write this angle as -35°.
Then if we want to know the component in South and East, we can first think this in polar coordinates
(R, θ)
where R = 12 miles, and θ = -35°
Now with this, we have that:
X = R*cos(θ) = the displacement to the east.
Y = R*sin(θ) = the displacement to the north (then -Y is the displacement to the south).
Then we have:
X = 12mi*cos(-35°) = 9.83mi
Y = 12mi*sin(-35°) = - 6.89 mi.
Then:
The displacement to the East is X = 9.83 miles
The displacement to the South is -Y = 6.89 miles.
The magnitude of southern displacement of the hiker is 6.88 miles.
The magnitude of eastern displacement of the hiker is 9.83 miles.
The given parameters;
Velocity of the hiker, v = 4 mphPosition of the hiker, θ = S 35⁰ ETime of motion, t = 3 hoursThe resultant displacement of the hiker is calculated as follows;
D = vt
D = 4 mph x 3 h
D = 12 miles
The magnitude of southern displacement of the hiker is calculated as follows;
[tex]D_y = D \times sin(\theta)\\\\D_y = 12 \ miles \times sin(35)\\\\D_y = 6.88 \ miles[/tex]
The magnitude of eastern displacement of the hiker is calculated as follows;
[tex]D_x = D \times cos(35)\\\\D_x = 12 \ miles \times cos(35)\\\\D_x = 9.83 \ miles[/tex]
Learn more about resultant displacement here: https://brainly.com/question/13309193
what is the solution of the follow inequality-3x+3> or equal to 9
Answer:
x ≤ - 2
Step-by-step explanation:
Given
- 3x + 3 ≥ 9 ( subtract 3 from both sides )
- 3x ≥ 6
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.
x ≤ - 2
Answer:
x<or equal to -2
Step-by-step explanation:
-3x>or equal to 9-3
-3x>or equal to 6(dividing both of them by -3)
x<or equal to -2
-2(7 + y)2 -8(y + 1)
-2(7 + y)2 -8(y + 1)
Simplify :)
−12y−36
Oliver had to wash thirty-nine short sleeve shirts and forty-seven long sleeve shirts before school. If he had only washed twenty of them by the time school started, how many did he not wash?
Answer:
66
Step-by-step explanation:
What are the x-intercepts of the quadratic functions f(x) = (x + 7)(x − 5)?
Answer:
-7 and 5
Step-by-step explanation:
To tell what the x intercepts are you set both (x+7) and (x-5) equal to zero and then subtract/ add it to zero and then you have the answer. So x+7=0 would be x=-7 and x-5=0 would be 5
Camden is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 5 points. What would be Camden's test score out of 50 if he got 2 questions wrong? What would be his score if he got x questions wrong
Answer:
Step-by-step explanation:
Score of 2 questions = 2 *5 = 10
He got 2 questions wrong. So, 50 - 10 = 40.
Camden's test score out of 50 = [tex]\frac{40}{50}[/tex]
Score for x questions = x *5 = 5x
Camden's score if he got 'x' questions wrong = 50 - 5x
do anybody know 15×18+12÷3+9
Answer:
283
First, multiply 15 and 18. You get 270. Then divide 12 and 3. You get 4. Add 270, 4, and 9 together to get 283
Please help me!!!!!!!!!!!!!!!
Answer:
x < 2 OR x > 2
Step-by-step explanation:
-18x + 21 > -15 20x - 13 > 27
-18x > - 15 - 21 20x > 27 + 13
-18x > -36 20x > 40
x < -36/-18 x > 40/20
x < 2 x > 2
x < 2 OR x > 2
A is the answer becos it cant be C
I NEED HELP WITH THIS. PLZZZZ HELP!!!!!!!! :(
Simple
Step-by-step explanation:
State 3 or more details why and where you want to go on the plane ride. Use full sentences and good punctuation. Hope you get an A+!
Answer:
Here's the new and improved essay. I made sure to add the literary devices.
Step-by-step explanation:
My mom said that this is the last time I can help you because she needs me to focus on my own priorities even if I say I want to do it on my freetime shes saying that I can't do homework for people, because she says I'm helping them cheat and I'm giving them a bad example. I'm really sorry. I hope this essay works out for you.
The function is for –9 < x < –7. The function is increasing for . The point lies on the graph of the function.
Answer: the function is constant , the function is increasing for -7< x < -3 , the point (-5,8) lies on the graph of the function.
Edgunity
Answer:
The function is
✔ constant
for –9 < x < –7.
The function is increasing for
✔ –7 < x < –3
.
The point
✔ (–5, 8)
lies on the graph of the function.
Step-by-step explanation:
5(x+9)-2(1-x)=1 equals 1
Answer:
x= -6
Step-by-step explanation:
5x+45-2+2x=1
7x+43=1
7x= -42
x= -6
Answer:
x=-6
Step-by-step explanation:
[tex]5(x+9)-2(1-x)=1\\5x+45-2+2x=1\\5x+43+2x=1\\7x=1-43\\\frac{7x}{7}=\frac{-42}{7}\\ x=-6[/tex]
a line segment has one endpoint at the origin (0,0) and one endpoint at (0,6). how long is this segment?
At a butcher shop, Hilda bought 6 9/20 lb of beef and some pork. She left with 17 17/25 lb of meat. Express the number of pounds of pork she bought using a decimal.
Answer:
56.15
Step-by-step explanation:
First, convert [tex]6\frac{9}{20}[/tex] lbs to a decimal. Multiply the main number (6) by the denominator (20) and then add that number to the numerator (9). The number you will get will be (6 x 20)+9 = 129. 129 is now the new numerator as an improper fraction so the improper fraction is now [tex]\frac{129}{20}[/tex].
Now make [tex]17\frac{17}{25}[/tex] lbs an improper fraction. It would be [tex]\frac{442}{25}[/tex].
Now subtract the amount of pork from the total amount of meat. [tex]\frac{442}{25}[/tex] - [tex]\frac{129}{20}[/tex] . Find a common denominator. I'm going to use 500, although there might be something less.
[tex]\frac{5615}{100}[/tex] is the result. Now you can either start dividing or simplify the fraction, which hopefully you already know how to do. 5615 ÷ 100 = 56.15
Really hope this helped, I tried explaining well! Ask more questions if you need!
Stacy sent 10 more texts than twice her little sister yesterday together they sent 46 texts how many texts did Tracy send
Answer:
Tracy sent 12 texts
Step-by-step explanation:
hope this helps
Answer:
The answer is 12 texts.
Step-by-step explanation:
Ok, so I'm assuming that Tracy is the little sister.
Stacy's texts: s
Tracy's texts: t
46 = s + t
s = 2t + 10
Substitute 2t + 10 for s in the first equation.
46 = 2t + 10 + t
46 = 3t + 10
-10 -10
36 = 3t
36/3 = 12
Tracy sent 12 texts and Stacy sent 34 texts.
If you use this answer, please mark Brainliest.
Re-write this subtraction as an ADDITION of signed numbers. 7 - 11 = ___
Answer:
-4 + 11 = 7
Step-by-step explanation:
Answer: An expression that would be equal to this one using addition would be 7 + (-11). There is also the option of -7 + 11. When you add a negative, it is the equivalent to subtracting, because you are adding a negative value to a positive value.
Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the child care cost is accurate?
Answer:
They are both the same.
Step-by-step explanation:
If you are doing for an hour for Gym B you would do .75 cents for ever 5 minutes of that hour.
60 minutes in an hour so
60/5=12
12*0.75=9.00
So both Gyms are the same.
Shelly and Terrence completed x tasks in a game. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game: 90x − 20 What does the first term of the expression represent?
Answer:
why do you think its funny that u will get banned and the answer is The total points Shelly earned
Step-by-step explanation:
Answer:
its the difference between shelly and terances points
Step-by-step explanation:
What is the awnser to 5y-8=3y+12
Step-by-step explanation:
first collect the like terms together that is all the coefficient of y and the numbers
i.e 5y-3y=8+12
then now you can solve
2y=20
and y=10
Answer: y=10
Step-by-step explanation: