In rectangle FGHI, diagonals FH and GI intersect at E. G F E H I • IE = 3x + 4 • EG = 5x - 6 What is the length of FH ?
Answer:
FH = 38
Step-by-step explanation:
Here, given the point of intersection of the two diagonals at E, we want to calculate the length of FH
The point of intersection of the diagonals is the midpoint of each as the diagonals bisect each other
thus,
3x + 4 = 5x - 6
5x-3x = 6+ 4
2x = 10
x= 10/2
x = 5
but Eg is 5x-6
and FH = 2EG
FH = 2(5x-6)
FH = 10x - 12
Substitute x = 5
FH = 10(5) -12
FH = 50-12
FH = 38
The length of FH is 38.
The calculation is as follows:
3x + 4 = 5x - 6
5x-3x = 6+ 4
2x = 10
x = 5
Here EG is 5x-6
and FH = 2EG
So,
FH = 2(5x-6)
= 10x - 12
Substitute x = 5
= 10(5) -12
= 50-12
= 38
Learn more: brainly.com/question/17429689
21) Karen gets paid $5 for every hour plus $15 a day when she works in her neighbor's yard. If she made $40 yesterday, how many hours did she work?
show the work.
Answer:
40/5 = 8
So Karen worked 8 hours yesterday.
Step-by-step explanation:
help please if you know the answer
Answer:D
Step-by-step explanation:
Enter the coordinates of the vertices of (r(270°,O) ∘ T⟨1, −2⟩)(QRST).
Answer:
where bro i will let you know in the comments section
Estimate the quotient: 1628 ÷ 8
Answer:
203.5
Step-by-step explanation:
Please mark brainliest.
Answer:
Answer is: 203.5
Step-by-step explanation:
Hope this helped YOU! :)
Hey I need some help :)
Would the phrase
“Net Change” mean I would subtract the given numbers? I’m on a post test and I’m a little confused. Please answer if you know.
Answer:
Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.
e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.
However, if there is no change it would be just 0.
I needdd helpp :)))))
Some pencils are to be shared between Grade 7, Grade 8 and Grade 9 students in the
ratio 3:5:6 respectively. If Grade 8 students receive 196 more than Grade 7 students, find
the total number of pencils shared.
Answer:
1312
Step-by-step explanation:
if grade 8 has 196 more, that means 196 represents two cause 5 is 2 more than 3, so then you divide 196 in half to get 98, then add 196 and 98, so grade 7 gets 294 pencils, the to find how many for grade 8 you take 294 plus 196 and get 460 so grade 8 gets 460, and for grade 9 you add 460 and 98 to get 558, then just add, 294, 460, and 558 and you get 1312. hope this helps
A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x , the time in minutes.
Which answer choice best describes the domain and range of the function for this situation?
Small problem....
There is no graph!
ill be happy to solve this if i saw a graph
Plz help me if your a Genius at math!!!and I will gave Brainliest
Answer:
320
190
318
42.241951146971
Step-by-step explanation:
9514 1404 393
Answer:
320 units²190 units²318 units²43.8 units²Step-by-step explanation:
The area formula for a rectangular prism is ...
A = 2(LW +H(L+W))
For (L, W, H) = (8, 8, 6) ...
A = 2(8·8 +6(8+8)) = 2(64 +96) = 320 . . . square units
For (L, W, H), = (2, 9, 7) ...
A = 2(2·9 +7(2 +9)) = 2(18 +77) = 190 . . . square units
For (L, W, H) = (6, 7, 9) ...
A = 2(6·7 +9(6 +7)) = 2(42 +117) = 318 . . . square units
__
The area of the triangular prism is the sum of its triangular base areas and the lateral area. The lateral area is the product of the base perimeter and the length of the prism.
A = 2(1/2)bh +PL
= 3(2.6) +(3+3+3)·4
= 7.8 +9·4 = 43.8 . . . square units
What is the length of BC?
Enter your answer in the box.
Answer:
Line BC = 17
Step-by-step explanation:
Since Angle B and Angel C are congruent, the opposite lines are also congruent. (line CA is congruent to line BA)
Therefore:
x+9 = 2x -8
17 = x
x = Line BC
Line BC = 17
i need to know the solution of 4(x+3)-4=81/2x+1
Answer:
[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]
[tex]x= -\frac{7+\sqrt{697}}{8}[/tex]
Step-by-step explanation:
4(x+3)-4 = 81/2x +1
Add 4 to both sides
4(x+3) = 81/2x +5
Multiply both sides by 2x (This removes the division from the second half)
8x(x+3) = 81 +10x
Simplify
[tex]8x^{2}[/tex]+24x = 81 +10x
Subtract 10x from both sides
[tex]8x^{2}[/tex] +14x = 81
Subract 81 from both sides
[tex]8x^{2}[/tex] +14x -81 = 0
Solve using the quadratic formula
[tex]x= \frac{-b (+-) \sqrt{b^{2} -4ac}}{2a}[/tex]
a= 8, b= 14, c= -81
[tex]x = \frac{-14 (+-) \sqrt{14^{2} -4 *8(-81)} }{2*8}[/tex]
Simplify
[tex]\sqrt{14^{2} -4 *8(-81)} = 2\sqrt{967}[/tex]
[tex]\frac{-14 (+-) 2\sqrt{967}}{2*8}[/tex]
Simplified Solution
[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]
And
[tex]x=- \frac{7+\sqrt{697}}{8}[/tex]
I know this is confusing but I hope it helps. Keep in mind that (+-) means plus or minus. You might also look up what the quadratic formula is if you are not already familiar with it.
Please help brainiest will give you!
Find the slope of it!
A. -3
B. -1/3
C. 1/3
D. 3
Thanks!!!!!!
Answer:
the answer is D
Step-by-step explanation:
......................
Answer:
-1/3
Step-by-step explanation:
Can someone please tell me the answers for this question
(I'll dm you the screenshots on Twitter)
14 POINTS PLEASE HELP !!
The model represents a polynomial of the form ax^2 + box + c
which equation is represented in the model?
- 3x^2 - 4x - 1 = (3x + 1) (x -1)
- 3x^2 - 2x - 1 = (3x - 1 ) ( x - 1 )
- 3x^2 - 4x + 1 = (3x - 1 ) (x - 1 )
- 3x^2 - 2x + 1 = (3x - 1 ) (x - 1 )
Answer: C
Step-by-step explanation:
i just know
this is important please help I will give brainiest
Explain how to graph 5 2 on the number line. A number line going from 0 to 3. There are 2 equals spaces between each number. The number line contains 0, point A is one-half, 1, point B is 1 and one-half, point C is between point B and 2, 2, point D is 2 and one-half, 3.
Answer:
point D
Step-by-step explanation:
To graph 5/2 on the number line is to find its mixed number.5/2 is a improper fraction and and is equal to 2 and 1/2.So 5/2 is on point D.Because there are 2 whole groups in 5 and 1/2 that makes the mixed number.
Good luck on your test or problem
Answer:
To graph 5/2 on the number line is to find its mixed number.5/2 is a improper fraction and and is equal to 2 and 1/2.So 5/2 is on point D.Because there are 2 whole groups in 5 and 1/2 that makes the mixed number.
Step-by-step explanation
the person above me was right
What is the answer to this
show your work
Answer:
Aaron was the sitter for 4 hours
Step-by-step explanation:
from the sentence my equation is 12x + 10 = 58
x represents the amount of hours
now solve
12x + 10 = 58
12x = 48
x = 4
Answer:
Aaron worked for 4 hours
Step-by-step explanation:
f(x)=12x+10
f(?)=58
58=12x+10
48=12x
4=x
Alice likes to go to Main Event to play laser tag and climb the rock wall each Saturday. Instead of purchasing the play pass, Alice pays for each activity separately.
a. This week Alice played laser tag twice and climbed the rock wall 3 times, spending $31.
b. Last week Alice played laser tag 4 times and climbed the rock wall once, spending $27.
Using the information provided, how much does Main Event charge, in dollars, to climb the rock wall?
1. $7
2. $5
3. $8
Answer:
1. $7 for climbing the rock
Step-by-step explanation:
x is the number of laser tags
y is the number of times climbed the rock
a. 2x + 3y = 31
b. 4x + y =27
lets find y
Step 1
4x + y = 27
y = 27 -4x
step 2
replace y with 27 - 4x in the a.
2x + 3( 27 - 4x) = 31
2x + 81 - 12x = 31
2x -12x = 31 -81
x = 5
y = 27 - 4(5)
y = 7
can sum one solve this plz
5(7+8)+(89-9)
Answer:
155
Step-by-step explanation:
• 5(15) + 80
• 75 + 80
• 155
I need help on this question
Answer:
7:8
Step-by-step explanation:
Does anyone know how to do this?? I don’t understand. I need help please ASAP! Tysm
17. 30
19. 58
21. 55
23. 23
What are the solution points for the system graph?
Question 12 options:
A)
(–2,8) and (–4,4)
B)
(8,–2) and (4,–4)
C)
(–2,4) and (–4,8)
D)
(–2,–4) and (4,8)
Answer:
The answer is D. (-2,-4) and (4,8). These are the two points that the two lines intercept.
Liam scored 2 goals out of 5 tries. What percent
did he score?
Answer:
40%
Step-by-step explanation:
because im just built different
Max made $104 for 8 hours of work. at the same rate, how much would he make for 18 hours of work?
Answer:
$234
Step-by-step explanation:
If you spend 3$ on 6 apples,what is the unit rate (in dollars) per apple?
Answer
2 apples per $1
Step-by-step explanation:
because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar
4) 16 + 7 + 9 = 7 + 9 + 16 *
A. Commutative Property of Addition
O B. Additive Identity Property
C. Multiplicative Identity Property
O D. Associative Property of Addition
Help me pls
Answer:
a.) Commutative Property of addition
Step-by-step explanation:
please helppp
(literally posting my entire math lesson)
Answer:
B
Step-by-step explanation:
Point B is located 6.5 tenths left of -8.
Answer:
Point B
Step-by-step explanation:
If you count 5 steps backward from -8, you land in the direct middle of -9 and -8. You can also count 5 steps forward from -9, but it doesn't change that the number represented is -8.5. Now focus on the distance from -8.5 to -9 (because between that distance are the points that we might be using). You repeat the same process used above, so if you half the distance between -8.5 and -9 then you'll get -8.75. As we can see, Point A is the closest to -8.75 compared to Point B. It wouldn't make sense to choose Point B because as we mentioned before, Point A is now most certainly not -8.65. Point B represents that number the best.
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y=400x+1000
based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?
Answer:
x=-5/2
Step-by-step explanation
y=0
0=400x=1000 divide both sides
x=-5/2
Answer:
The Answer is D: Starting amount in his savings account
Step-by-step explanation:
The y-intercept represents the starting amount in his savings account.
x = 0 for the y-intercept.
y = 400x + 1000
y = 400(0) + 1000
y = 1000
Solve: 0.3 + d = 7.1 d = _____
Answer:
d= 3/61
Step-by-step explanation: