For the pair of similar triangles, find the value of x.
2x8
x+8
24
The value of x is a
(Simplify your answer. Use a comma to separate answers as needed.)
Answer: x = 22
Step-by-step explanation:
Compare the 2 triangles
[tex]\frac{2x-8}{24} = \frac{45}{x+8}[/tex]
Cross multiply
(2x-8) (x+8) = 45 x 24
2x^2 + 16x - 8x - 64 = 1080
2x^2 + 8x - 64 - 1080 = 0
2x^2 + 8x - 1144 = 0 ---> divide by 2
x^2 + 4x - 572 = 0
(sum and product)
x^2 - 22x + 26x - 572 = 0
x(x - 22) + 26(x - 22) = 0
(x + 26) (x - 22) = 0
x + 26 = 0
x = -26
x - 22 = 0
x = 22
divide -3 1/3 by 1 1/5
yumiko solved |x|>5 by solving x>-5 and x<5. explain the error yumiko made
Answer:
switched signs around
Step-by-step explanation:
I believe that s/he switched the signs around so
|x|>5 is solved by x<-5 and x>5
but I'm not quite sure, sorry
1. Which of the following numbers completes the sequence 3, 8, 14, 21, 29, ___?
A. 35
B. 36
C. 37
D. 38
E. 39
members of a softball team raised 1405.25 to go to a tournament. they rnted a bus for 822.50 and budgeted 27.75 per each players . write and solve an equation which can be used to determine x , the number of players the team can bring to the tournament
Creating an expression for the scenario, the Number of players that can be brought to the tournament is 21.
Given the Parameters :
Total amount raised = 1405.25Bus rent = 822.50Amount per player = 27.75We could represent the expression to calculate the number of players thus :
Total amount raised = (Bus rent + (amount per player × number of Players))
1405.25 = 822.50 + 27.75x
1405.25 - 822.50 = 27.75x
582.75 = 27.75x
x = (582.75÷27.75)
x = 21 players
Therefore, the Number of players would be 21.
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In 20112, it rained 1.651 x 103 centimeters in New Orleans. In 2012 it rained another 8.2 x 102 centimeters. How many centimeters of rain did New Orleans experience in 2012?
Answer:
1,006.453 cm
Step-by-step explanation:
1.651 × 103 = 170.053
8.2 × 102 = 836.400
170.053 + 836.4 = 1006.453 cm
Expand and simplify
Z(2z+1)+z(4z+5)
Answer:
Z(2z+1)+z(4z+5)
[tex]2 {z}^{2} + z + 4 {z}^{2} + 5z[/tex]
[tex]6 {z}^{2} + 6 {z}[/tex]
[tex]6z(z + 1)[/tex]
Complete the ordered pair so that it is a solution of 2/3x + y - 1 = 0. (-6, ___) 3 4 5
Answer:
(- 6, 5 )
Step-by-step explanation:
Substitute x = - 6 into the equation and solve for y
[tex]\frac{2}{3}[/tex] (- 6) + y - 1 = 0 , that is
- 4 + y - 1 = 0
y - 5 = 0 ( add 5 to both sides )
y = 5
Then solution is (- 6, 5 )
if the outcome of event a is not affected by event b, then events a and b are said to be
A farmer has 15 boxes of eggs.
There are 6 eggs in each box.
Write, as a ratio, the number of eggs in three boxes to the total number of eggs.
Give your answer in its simplest form.
Answer:
1:5
Step-by-step explanation:
The total number of eggs would be 15×6, or 90.
The eggs in 3 boxes would be 18.
18:90
Then simplify.
1:5
what is 50x9 pls help
Answer: 450
Step-by-step explanation:
say you remove the 0 out of 50, so you have 5 x 9. 5 x 9 = 45. Take the 0 you took out earlier, than add it to the end of 45, there's your answer. 450
Step-by-step explanation:
Multiply:
50×9
⇛25 + 25 × 5 + 4
⇛50 + 9
⇛450 Ans.
hELPPP pls quick thanks <3
Answer: can you show the selections?
Step-by-step explanation:
Write an equation representing the pound of clay, c, that jamal from the example needs to make b bowls.
explain how to find the amount of clay jamal needs to make 8 bowls.
Answer:
8=2/3c
Step-by-step explanation:
Each bowl requires 2/3 pounds of clay
To make 8 bowls, Jamal needs 5 1/3 pounds of clay
1. The equation to represent amount is, x= b*c
2. Amount of clay Jamal needs to make 8 bowls is 8c.
What is equation?A mathematical statement that is made up of two expressions connected by an equal sign.
let the amount of clay be x.
The number of bowls be b and c is pounds of clay.
So, Total cost
x= b * c
Now, if number of bowls are 8 then
x= 8*c
x=8c
So, the amount of clay Jamal needs to make 8 bowls is 8c.
Learn more about equation here:
https://brainly.com/question/16255566
#SPJ5
find tge equation of the line
Answer:
y = -2x + 9 or y = 9 - 2x
Step-by-step explanation:
First find the gradient
Pick two points on the graph, (4, 1) and (1,7)Find the change in y (7 - 1 = 6)Find the change in x (1 - 4 = -3)Divide the change in y by the change in x = 6 ÷ -3 = -2The gradient is -2: y = -2x + cNext, look at where the line intercepts (goes through) the y-axis: 9
The equation of the line is y = -2x + 9
Tip: The gradient is negative because the line is going downwards from left to right; if the line was going upwards, the gradient would be positive.
Hope this helps!
Help me please i need the equation of axis of symmetry
Answer:
x = -2
Step-by-step explanation:
It's a vertical line at x = -2
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
Please show ur work
Answer:
x = 11.2 mi
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}\\(14.4)^{2} = (9)^{2} + b^{2}\\207.36 - 81 = b^{2} \\126.36 = b^{2}\\\sqrt{126.36} = b\\b = 11.2[/tex]
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (14,4)² - (9)²
x² = 207,36 - 81
x² = 126,36
x = 11,2mi✔
Find the slope-intercept form of the equation of a line satisfying the condition
Passing through (2,-4) and (7,-3)
68 =34 =23
True or False? (Hint: Type true or false)
Answer:
I believe it's false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
..................
The dashed triangle is the image of the solid triangle after a dilation centered
at the origin. What is the scale factor of the dilation?
A) k= 1/2
B) k= 2
C) k= -1/2
D) k= -2
- 4x + 14 = -2(2x + 7)
A square has a perimeter of 20 ft. What is the length of each side?
Answer:
5
Step-by-step explanation:
the length is 5 because each side with equal to 5
5+5+5+5=20
Pablo's father is 4 years older than his mother. Pablo's mother is 42 years old. How old is his father? Pablo's father's age is:
Answer:
46
Step-by-step explanation:
1 sum 42+4
PLSSS HLEPP ME OUTT ITS URGENTTTT
Sam evaluated the expression x2y for x = 7 and y = 9. He got a value of 49. Which of the following statements is correct?
Answer:
7*7=49
Step-by-step explanation:
x2y
7*2*9
=129
7*9
=63
9*2
=18
7*2
=14
7*7
=49
please help me this is due tomorrow and I can't figure this out (IXL CC.2 8th grade)
The answer is suppose to look like this (_____,___) AND IF YOU CAN TAKE A SCREENSHOT OF THE GRAPH( picture provided) AND SHOW ME WERE THE LINES MEET.
Answer:
at point (4,4)
Step-by-step explanation:
Answer:
( 4 , 4 )
Step-by-step explanation:
I don’t get this question at all
Answer:
-12
Step-by-step explanation:
Answer:
-8(-4+x)
Step-by-step explanation:
This is because the value of all the numbers never changes. Because
"-8(x-4)= -8x+32" and "-8(-4+x)= 32-8x" are equal, this would be the only correct answer.
Hope this helps! :)
In a triangular prisim how many vertices does it have
Answer:
6
Step-by-step explanation:
Find the slope of the line that passes through (19, -9) and (70, 68).
Simplify your answer and write it as a proper fraction, improper fraction, or integer. Quick please
Answer:
The slope of the line would be 77/51 or 1.5098 if you convert it.
Step-by-step explanation:
Slope is rise over run so you find the difference between the Ys which is 77 and that's your rise so it's the top. You then find the difference btween the Xs and its 51 and that's your run so it's the bottom.
At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.70 and the cost of a large greeting card is $4.65. How much would it cost to get 3 small greeting cards and 5 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?
What is the median for this list of numbers? 11, 23, 43, 22, 9, 15
Median x˜ 18.5
that is the answer.