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the assumption here is that both triangles are similar, if that's so, then we can use proportions to get the sides.
[tex]\stackrel{\textit{assuming both triangles are similar}}{\cfrac{x}{10}=\cfrac{15}{6x}\implies \cfrac{x}{10}=\cfrac{5}{2x}}\implies 2x^2=50 \\\\\\ x^2=\cfrac{50}{2}\implies x^2=25\implies x=\sqrt{25}\implies \boxed{x=5}[/tex]
Related Questions
6(31)+6(4)-6(15) mental math form
Answers
186+24-90
120 answer
[tex]6(31)+6(4)-6(15)=6(31+4-15)=6(20)=120[/tex]
ok done. Thank to me :>
need help with math probelem i will give you 5 stars and a good rating
Answers
Answer:
8 feet
Step-by-step explanation:
12 x 2 =24
40 - 24 = 16
16 /2 = 8
Hope it helps :)
2. Locate fire stations so that each district has a fire station in it or next to it, formulate this problem to minimize the number of fire stations needed.
Answers
Answer:
hello which grade question i
Six points are plotted on the number line.
Which points on the number line are opposites?
Answers
Answer: P and U
Step-by-step explanation:
(01.04 MC)The elevation of city A is 80 feet below sea level; the elevation of city C is 16 feet below sea level. The elevation of city D is 1 over 2 of the elevation of city C. Part A: Write an expression to represent the elevation, in feet, of city D. (5 points) Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
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A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ft
B) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.
First of all, sea level is at 0 ft.
Thus;
If city A has an elevation of 80 ft below sea level, then;
Elevation of city A = -80 ft
The elevation of city C is 16 feet below sea level. Thus;
Elevation of city C = -16 ft
A) The elevation of city D is ¹/₂ of the elevation of city C. Thus;
Expression for Elevation of city D = ¹/₂ × (-16)
B) Solving the expression for elevation of city D gives;
Elevation of City D = -8 ft
The reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.
Read more about below sea level elevations at; https://brainly.com/question/14837848
Answer:
A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ftB) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.First of all, sea level is at 0 ft.Thus;If city A has an elevation of 80 ft below sea level, then;Elevation of city A = -80 ftThe elevation of city C is 16 feet below sea level. Thus;Elevation of city C = -16 ftA) The elevation of city D is ¹/₂ of the elevation of city C. Thus;Expression for Elevation of city D = ¹/₂ × (-16)B) Solving the expression for elevation of city D gives;Elevation of City D = -8 ftThe reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.
Conner earns 24$ working every 1.5 12 blank
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Answer: That makes no sense. Maybe did your copy and paste corrupt? Or mistyped the question? Get back to me and I’ll help!!
Step-by-step explanation:
A restaurant bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax.
Answers
Bill was for $28.35. A 20% tip would come to $5.67. If we add this tip to the $28.35 bill, we get a total of $28.35 + $5.67 + 0.0625($28.35)
= $35.79 (total)
please give brainlist
4) Change the recurring decimal 0.18 to a fraction. (2marks)
You must show all your working.
Answers
Answer:
18/100 or 9/50
Step-by-step explanation:
First, put 0.18 over 100 because there are 2 digits in the decimal, so you convert it to 18/100. Then, simplify it, and because the GCF is 2, divide the numerator and denominator. The final fraction ins 9/50.
What is the sale price with 15% off? Original price: $110 of bears head phones
Answers
Answer:
93.5
Step-by-step explanation:
Which expression is equivalent to (6x + 12)?
Answers
Answer:
2(3x + 6)
Step-by-step explanation:
Solve for the value of X
Answers
Check the picture below.
An electronic company refurbishes game systems The table shows the profit made for the number of game systems sold. How much profit will be made for 35 game systems?
Answers
Answer: Give me the table and ill answer..
Step-by-step explanation:
Find the perimeter of the figure.
Answers
[tex]perimeter = 17 + 19 + 7 + 11 + 10 + 8 \\ [/tex]
[tex]perimeter = 72 \: \: cm[/tex]
Evaluating Expressions with Real Numbers - Item 8069
Which statement best explains why this expression is equal to 1?
0.54 +0.27
0.24 + 0.57
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Answer:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. For example 0.54+0.27 and 0.24 +0.57, If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
hope this helps.
Question is in image
In the diagram below, ST is parallel to PR
Answers
Answer:
D.
Step-by-step explanation:
There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.
Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...
SQ/PQ = TQ/RQ
From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.
(PQ -PS)/PQ = (RQ -RT)/RQ . . . segment sum theorem
1 - PS/PQ = 1 -RT/RQ . . . . . . . do the division
-PS/PQ = -RT/RQ . . . . . . . . subtract 1 (subtraction property of equality)
PS/PQ = RT/RQ . . . . . . . . multiply by -1 (multiplication property of equality)
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answers
Answer:
y= -4/2x+ -4
Step-by-step explanation:
looked at the graph
Consider the equation of a circle If the line is its diameter. Then find the value of a.
Answers
Answer:
more info??? bc that doesn't make sense i guess
Solveee
8 ( x - 1 ) + 17 ( x - 3 ) = 4 ( 4x - 9 ) + 4
118 - 65x - 123 = 5x + 35 - 20x
Answers
Answer:
1)[tex]x = 3[/tex]
2) [tex]x = - \frac{4}{5} [/tex]Step-by-step explanation:
To know the solution with Proof .Refer To the above attachments .Hope this helps you !!Answer:
Step-by-step explanation:
distribute the 8,17,and 4 throughout the parentheses to get
8x-8+17x-51=16x-36+4
combine like terms
25x-59=16x-32
subtract 16x from both sides and add 59 to both sides to get
9x=27
divide both by 9
x=3
A market increased the price of cheese selling for $4.98 per pound by 3%. What is the new
price for two pounds of cheese?
QUICK
Answers
Answer:
$10.26
Step-by-step explanation:
$4.98x0.03= 0.1494,
4.98+0.1494= 5.13
2; 5.13+5.13= 10.26
Answer:
$10.26
Step-by-step explanation:
$4.98*103/100=x
x=5.1294
2 pounds=2x=$10.2588=$10.26
use technology to find points and graph the line x - 3y = -6
Answers
Find the GCF and LCM for 16 and 24.
Answers
Greatest Common Factors (GCF) of 16 and 24 = 8
Least Common Multiple of 16 and 24 = 48
GCF means Greatest Common Factors
Factors of 16 = 1, 2, 8, 4, and 16
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24
Common Factors of 16 and 24 = 1, 2, 4, and 8
Greatest Common Factors (GCF) of 16 and 24 = 8
LCM means Least Common Multiples
Multiples of 16 = 16, 32,48, 54.....
Multiples of 24 = 24, 48, 72....
The Least Common Multiple of 16 and 24 = 48
Learn more on GCF and LCM here: https://brainly.com/question/219464
help me please thanks
Answers
Answer:
9.25 would be the value of x
Explanation:
Perimeter = 2(l + w)
2(13.25 + 9.25)
= 45
6. (5 points) Graph using two intercepts; show your work in finding the intercepts. 6x - 3y = 18
х
Answers
Answer:
Divide both sides by 18. The new coefficients will be the reciprocals of the intercepts:
[tex]6x-3y=18 \rightarrow \frac6{18}x - \frac3{18}y = 1 \rightarrow \frac x3-\frac y6 =1[/tex] The two intercepts are then 3 and -6.
(I know, dividing by 3 both sides of the equations would have made the whole process way easier).
Alternatively, plug x = 0 to find the y intercept and y=0 to find the x intercept. Either way the graph will look something like the one I'm sketching on paint.
From a sample of 45 students exam scores, it was found that there was a mean score was 75 and a standard deviation of 5. Assume the distribution of exam scores is normal.
construct and interpret a 95% confidence interval for the true mean score.
Answers
Answer:
The 95% confidence interval for the true mean score is [tex][73.539,76.461][/tex]
Step-by-step explanation:
Note that [tex]CI=\bar x\pm z\frac{s}{\sqrt{n}}[/tex] where [tex]\bar x[/tex] is the sample mean, [tex]z[/tex] is the upper critical value for the desired confidence level, [tex]s[/tex] is the sample standard deviation, and [tex]n[/tex] is the sample size.
Therefore, [tex]CI=75\pm 1.96\frac{5}{\sqrt{45}}\approx[73.539,76.461][/tex]
The scale of a map is known to be 1: 500 000. Find the actual distance (in km) between a mall and the bus interchange if the represented distance on the map is 3.2 cm.
Answers
Step-by-step explanation:
when the scale says 1:500000, then that means 1 unit in the map corresponds to 500000 units in reality.
and so, 3.2 cm on the map are
3.2 × 500000 cm in reality.
3.2 × 500000 = 1,600,000 cm = 16,000 m = 16 km
Determine the y-intercept of the following equation.
(-2 - 1)(2+3) = y
Answers
Answer:
(0,-15)
Step-by-step explanation:
i think.. trust someone else!! I'm not 100% sure...
A graph of y=f(x) is given. No formula for f is given. Find the graph of g(x)=f(-1/2x).
Answers
Answer:
B
Step-by-step explanation:
To do this, we'll need to understand the skeleton form of transformations and what each variable represents in the equation. We have y = a(x-h) + k, where a represents vertical scaling, h the horizontal shift, and k the vertical shift.
So in this case, we need to reflect the graph over the y axis and horizontally scale it by a factor of 2 (i.e. stretch the graph horizontally). The answer is B.
Arrange the following numbers in increasing order.
2.3, 45.1, 18.735, 0.9862, 7
Answers
Step-by-step explanation:
1. 0.9862
2. 2.3
3. 7
4. 45.1
5. 18.735
You invested $5,000 in a 10 year CD at the age of 12. The account pays 2.5% interest compounded continuously. How much money will you have after 10 years? (Round to the nearest cent.)
Answers
Answer:
Do PRT: 5009.31
Step-by-step explanation:
Princable: 5000
Rate: 2.5
Time: 10
Answer:
how do i solve for this?
Answers
For three set the two equations equal. Same for four
