Answer:
10.9512
Step-by-step explanation:
Answer:
10.9512 (not sure if u have to round it)
Step-by-step explanation:
List all congruent angles and write a proportion that relates the corresponding side
Proportion of corresponding side is FH/JH = HG/HK = FG/JK.
What are congruent triangles?Congruent triangles are triangles that are the same size and shape in every way. The sign for congruent is ≅ . Two triangles are considered to be congruent if the measurements of one triangle's three sides and three angles are the same as those of another triangle's sides and three angles.
Given triangles are similar ΔFGH ∼ ΔJKH
We can make the angles of this statement that correspond to each other congruent. We can then write a proportion that relates the corresponding sides to one another because the sides of similar triangles are proportional to one another.
so angles ∠GFH ≅ KJH; ∠GHF ≅ ∠KHJ; ∠HFG ≅ ∠HJK
and proportion of corresponding side is FH/JH = HG/HK = FG/JK.
Hence the proportion that relates the corresponding side are FH/JH = HG/HK = FG/JK.
Learn more about congruent triangles;
https://brainly.com/question/22062407
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Explain why the square root of a number is defined to be equal to that number to the 1/2 power
Answer:
Because square root is essentially the same thing as the power to a half
sqrt(x) is the same as (x)^1/2
which graph best represents the solution set of y< -4x?
D because the line is not "dotted' and it's on the y intercept and not in the x-axis
Last month, an investor's stock portfolio was worth $46,950. The value of the stock portfolio fell by $2,388.50 each week for 4 weeks. What is the value of the stock portfolio at the end of the 4 weeks?
Answer:
$37,396
Step-by-step explanation:
take 2388.5x4 since there are 4 weeks = $9554
then you subtrct since the portfolio fell.
So $46,950-9554 = $37,396
8 less than the sum of 6 and a number
Answer:
(6 + n) - 8
Hope this helps.
Pls mark brainliest. :D
Answer:x < 2
Step-by-step explanation: 6+x < 8
x < (8-6)
x < 2
Select the correct answer.
2
Which equation describes the line graphed above?
O A.y = -41 - 5
OB. y = 5 - 4
OC. y = -1/5 - 4
OD. y = -41 - 1
Answer:
I think its OC
Hope it helps
Please help I don't know how to do this
Answer:
(a) (2x +7), (x -4)
(b) (-7/2, 0), (4, 0)
Step-by-step explanation:
(a)When looking for integer factors of a quadratic of the for ax² +bx +c = 0, it is useful to start by looking for factor pairs whose product is a·c and whose sum is b.
Here, that means you're examining the factors of 2·(-28) = -56, and looking for a pair that have a sum of -1. We can start by examining the ways that -56 can be factored:
-56 = -56(1) = -28(2) = -14(4) = -8(7)
Sums of these factor pairs are -55, -26, -10, -1, so it is the last pair we're interested in.
At this point, you can rewrite the x-term using these factors and then factor the quadratic by pairs.
2x² -8x +7x -28 = 0 . . . . . . . use -x = -8x+7x
(2x² -8x) +(7x -28) = 0 . . . . group into pairs of terms
2x(x -4) +7(x -4) = 0 . . . . . . factor each pair of terms
(2x +7)(x -4) = 0 . . . . . . . . . the factored equation
The factors of this equation are (2x +7) and (x -4).
__
(b)The x-intercepts are the values of x that make the factors zero.
2x +7 = 0 . . . looking for x that makes the first factor zero
2x = -7 . . . . . subtract 7
x = -7/2 . . . . divide by the coefficient of x
__
x -4 = 0 . . . . looking for x that makes the second factor zero
x = 4 . . . . . . add 4
The x-intercepts are x = -7/2 and x = 4.
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{QUESTIONS:}[/tex]
3. Given this quadratic equation, 2x²-x-28= 0.
(a) List the factors of this equation.
(b) Determine the x-intercepts
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{ANSWER:}[/tex]
(a) (x-4) and (2x+7)
(b) x=4 and x=-7/2
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{SOLUTION:}[/tex]
2x²-x-28=02x²+7x-8x-28=02x²-8x+7-28=02x(x-4)+7(x-4)=0(x-4)(2x+7)=0x-4= 0 or 2x+7=0x=4 or 2x=-7x=4 or x= -7/2[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
#CarryOnlearning
6.
Two cars A and B 250 km apart are traveling towards each other on the same road. Car A travels at 55 km/h
while car B travels at 70 km/h.
(a) When will they meet on the road?
(b) Find the distance each car travels before they meet.
Answer:
At 2 hours they will meet on the road
Car A: 110 km; Car B: 140 km
Step-by-step explanation:
Since the total distance is 250 km, we know that when the sum of the miles driven by each car adds to 250, they will meet.
Let x be the time, in hours.
Miles Travelled
Car A (55km/h)x
Car B (70 km/h)x
(55km/h)x + (70 km/h)x = 250
55x + 70x = 250
125x = 250
x = 2 hours At 2 hours they will meet on the road
Distance Travelled
Car A (55km/h)2 = 110 km
Car B (70 km/h)2 = 140 km
PLEASE HELP!
Determine the value of X.
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
=
The line y = 4x + 3 crosses the y-axis at A.
1) What is the coordinates of point A?
Answer:
A(0,3)
Step-by-step explanation:
the line crosses y-axis so its x-coordinates must be zero,
so we subistitute by x=0 in the equation of the line, from this we get y=3
then the coordinates of point A will be (0,3)
yler’s brother earns a commission. He makes `2.5\%` of the amount he sells. Last week, he sold `\$9,000` worth of shoes. How much was his commission?
"flower, heart, circle." what is The 35th shape is
Answer:
heart
Step-by-step explanation:
Answer:
heart
Step-by-step explanation:
The 36th shape will be the last shape in the 12th repeat of the sequence.
The 35th shape is next-to-last: heart.
What is x equal to? 4/x=8/3
x equals 1.5 because it needs to be multplied by 2
Answer the following questions. Make sure to show all your work.
1. In each case below, show if the point given is a solution to the system of
equations.
a.)
Point (-0.8,-0.6)
Equation 1 - y = 2x + 1
Equation 2 - y = -3x - 3
b.)
Equation 1 - x + y = 3
Equation 2 - y + 2 / 2 = x
POINT - (1/3, 2)
PLZ HELP ME
a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
b) since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equation
In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value
For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:
f(x) = 2x + 1
f(-0.8) = 2(-0.8) + 1
f(-0.8) = -1.6 + 1
f(-0.8) = -0.6
Simiarly;
y = -3(-0.8)- 3
y = 2.4 - 3
y = -0.6
Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
For the point (1/3, 2), substitute x = 1/3 into both functions as shown:
x = (y+2)/2
x = (2+2)/2
x = 4/2
x = 2
Simiarly;
x + 2 = 3
x = 3-2
x = 1
Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equations
Learn more on systems of equation here: https://brainly.com/question/847634
HELP ME PLEASE
(NO LINKS PLEASE FOR REAL NO LINKS PLEASE)
1. A student and a teacher work together to make toy cars. The student made 2/7 of the total toy cars, 21 less than the teacher. How many toy cars are there?
The total number of cars both the student and the teacher made is 49
let
total cars = x
cars made by student = s
cars made by teacher = t
Total = student + teacher
x = s + t
s = 2/7x
So,
x = 2/7x + t
x - 2/7x = t
t = (7x - 2x) / 7
t = 5/7x
Similarly,
s = t - 21
s = 5/7x - 21
equate both s equation
2/7x = 5/7x - 21
2/7x - 5/7x = -21
(2x - 5x) / 7 = -21
- 3/7x = -21
x = -21 ÷ -3/7
= -21 × - 7/3
= (-21 × -7) / 3
= 147/3
x = 49
Therefore, the total number of cars both the student and the teacher made is 49
Learn more about fractions:
https://brainly.com/question/11562149
Robby took his dog to the pet grooming store. The service costs $30. He tips the groomer 25%.
How much in total does the groomer get?
CAN SOMEONE SHOW ME HOW TO DO THE WORK?
Answer: $37.50
Step-by-step explanation:
You multiply the $30 by the percentage tip so 25% in this case, first make it a decimal that would be 0.25. 30*.25=7.50 then you add the 7.50 to the 30 which is gives you the $37.50
Answer:
$37.50
Step-by-step explanation:
25% of 30 is 7.50 $7.50+$30=$37.50
I need help PLEASE ILL GIVE YOU BRAINLEST
Answer:
y= 0.75x + -0.50
A or B is what im guessing
A 3-gallon jug of water costs $16.80. What is the price per cup?
Answer:
$0.35
Step-by-step explanation:
A gallon is equal to 16 cups, so the 3-gallon jug is equal to 48 cups. You when then divide $16.80 by 48, to get $0.35 or the price per cup! Hope this helps :)
Answer:
0.35
Step-by-step explanation:
help ASAP please again
she got a 110 score
explanation: sorry ignore just had to do 20 characters
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve this using unitary method ~
[tex] \sf3 \: seconds = 63 \: meters[/tex][tex] \sf1\: second= 63 \div 3 \: meters[/tex][tex] \sf1\: second= 21 \: meters[/tex][tex] \sf5\: seconds= 21 \times 5 \: meters[/tex][tex] \sf5\: seconds= 105 \: meters[/tex]Therefore , the ostrich will run 105 meters in 5 seconds.
A horse's mane grows at the rate of 6 over 5 centimeters per month.
How many months will it take the horse's mane to grow 24 over 10 centimeters?
Explain your answer using words, and show your work using division of fractions.
Answer:
It will take 2 months for the' mane to grow 24/10 centimeters, because 24/10 divided by 6/5 = 24/10 x 5/6 would be 2 months.
Step-by-step explanation:
Hope this helps, have a good day/night :)
It will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A horse's mane grows at the rate of 6 over 5 centimeters per month.
Let x be a number of months.
(6/5)x = 24/10
6x = 12
x = 12/6 = 4/2 or
x = 2 months
Thus, it will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.
Learn more about the linear equation here:
brainly.com/question/11897796
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Please I need help now!!!
Answer:
An Ojibwe event in which women of all ages run, bike and canoe.
Step-by-step explanation:
x is a random real number between 0 and 3. what is the probability that it is closer to 0 than it is to 1?
Answer:
The area y>x will belong to the trapezoidal area. Thus, the area of the trapezoid = 0.5*(4+1)*3 = 15/2. Finally, the required probability = trapezoid ...
Step-by-step explanation:
Please help! What does the clock, rope, and shoe equal?
Answer:
shoe = 5, clock = 3, rope = 13
Step-by-step explanation:
hope this helped :) i just used guess and check knowing that the shoe is clock+2 hahah
Grace needs to buy textbooks for her first semester in college. She borrows $660 and must pay the money back in equal amounts for 11 months. She must also pay $3 interest each month. What is her monthly payment, including interest?
Write an equation of the line that passes through (0,5.2) and (-1.5,1).
y=
Answer:
Step-by-step explanation:
Given:
y1 = 5.2
y2 = 1
x1 = 0
x2 = -1.5
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 1 - 5.2 ) / ( -1.5 - 0 )
m = -4.2 / -1.5
m = 2.8
then
y - y1 = m ( x - x1 )
y - 5.2 = 2.8 ( x - 0 )
y - 5.2 = 2.8x - 0
y = 2.8x + 5.2
Determine if 0.929229222922229222229... is rational or irrational and give a
reason for your answer.
Answer:
It is irrational.
Hope you could get an idea from here.
Doubt clarification - use comment section.
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
[please put in correct order]
Answer:
It the W or the orange point
using the letters from the word equation, how many 5-letter patterns can be formed in which q isfollowed immediately by u?
Using the arrangements formula, it is found that there are 720 words that can be formed.
The number of possible arrangements of n elements is the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem:
The non-qu letters of the word equation will be arranged in 5 positions.The "qu" can be positioned in 6 ways(letters 1-2 to letters 6-7), hence:[tex]T = 6 \times 5! = 6! = 720[/tex]
There are 720 words that can be formed.
To learn more about the arrangements formula, you can take a look at https://brainly.com/question/24648661
help finals study guide please I want to just go on break
Step-by-step explanation:
(note: I'm only answering the ones I know vs giving you wrong answers for the others!)
1. ROS=Obtuse (larger then ninty degrees)
2. octagon has 8 angles (octo means eight, after all!)
3. If a figure has three sides, it is a triagle (not positive on this one)
4. symmetric property of congruence (this one's a simple search :p )
5. N/A (although I believe its angle BEC=124 degrees, as every other choice Is proven to be true)
6. congruent complements theorem (this is because we are given that 3 is a suppliment of 4. we are also given that 2=4. Based on this, then 1=3 is congruent based on 1 being suppliment of 2, 2=4, and 3 being a suppliment of 4)
7. N/A
8. N/A (the picture is too fuzzy for me to make any ideas)
I'm sorry I couldn't solve them all, but I hope this at least gets you somewhere! Have a great day!