Answers
Answer:
1.5
Step-by-step explanation:
Because the triangle are similar, they possess a proportional relationship in which the one triangle's side length is dilated by a unknown factor (y) to make its corresponding counterpart. Using this knowledge we can make the following two equations
3y=7 & xy=x+2 y is the variable representing the dilation factor
y=7/3 find the value of y
x(7/3)=x+2 substitute the value y into the equation
7/3x =x+2 solve for x
4/3x =2
(3/4)(4/3x)=2(3/4) multiply by the reciprocal
x=1.5
Related Questions
If you take a number, times by 5 then add 7. You get the same as if you took the number, times by 9 then add 3. What is the number?
Answers
Answer: The number is 1
Step-by-step explanation:
5x + 7 = 9x + 3
5x + 7 - 5x = 9x - 5x + 3
7 = 4x + 3
7 - 3 = 4x + 3 - 3
4 = 4x
x = 1
Check work:
5(1) + 7 = 12
9(1) + 3 = 12
It works
8) Does the table show a function? *
Answers
Answer:
yes
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
please help me, u have no clue what to do. all it says is find the slope of the line that passes through the given two points using ratio method.
Answers
Answer:
Triangle y = 7
Triangle x = -3
Slope = - 7/3
Step-by-step explanation:
Formula:
slope (or m) = (y2 - y1)/(x2 - x1)
Plug numbers into formula
m = 8 - 1 / 4 - 7
m = 7 / -3
Cannot be simplified further
Slope = - 7/3
The triangle before y is asking for the difference, meaning what number do you get after taking y2 (8 in this problem) and subtracting y1 (1 in this problem) from it.
8 - 1 = 7 which forms the numerator for our slope
The same goes for the triangle before x. Find the difference
x2 - x1 = 4 - 7 = -3. This forms the denominator of our slope
What is the volume of the cone? Use 3.14 for p.
A
115.40 cubic mm
B
346.19 cubic mm
C
461.58 cubic mm
D
1384.74 cubic mm
Answers
For which values of x will the rational expression below be undefined? Check
all that apply.
(x - 1)(x + 1)
X + 2
A. -1
B. 1
C. -2
D. 2
E. -5
F 5
Answers
Answer:
-2
Step-by-step explanation:
For the given expression to be undefined, this means that the denominator must be zero.
From the given expression, the denominator is x + 2
Equating this to zero;
x+2 = 0
Subtract 2 from both sides
x+2-2 = 0 -2
x = -2
Hence the value of x that makes it undefined is -2
A tree is broken at a height of 7m from the ground and its top touches the ground at distance of 24m from the base of the tree. Find the original height of the tree. pls help with steps
Answers
then total height of tree=7+x
since it form a right angled triangle with base 24m and height 7m and hypotenuse be x
then by using Pythagoras theorem
(hypotenuse)^2=(base)^2+(height)^2
x^2=24^2+7^2
x^2=576+49
x^2=625
x=25
therefore height of tree =x+7=25+7=31
The weight of 25 folding chairs is 15 kg. How many
chairs can be loaded on a truck having a capacity of
carrying 2025 kg load?
Answers
Answer:
3,375 chairs
Step-by-step explanation:
The weight of 25 folding chairs is 15 kg
Number of folding chairs : weight
= 25 : 15
How many chairs can be loaded on a truck having a capacity of
carrying 2025 kg load?
Let number of folding chairs = x
Number of folding chairs : weight = x : 2025
Equate both ratios
25 : 15 = x : 2025
25/15 = x/2025
Cross product
25 * 2025 = 15 * x
50,625 = 15x
x = 50,625/15
x = 3,375
Number of folding chairs = 3,375 chairs
I will brainlist you please help me i need this
Answers
Answer:
[tex]q = 16\sqrt{2}, r = 16[/tex]
Step-by-step explanation:
Use proportions for 45-45-90 triangle.
Answer:
Step-by-step explanation:
Use proportions for 45-45-90 triangle.
round 1.19!!!! PLEASE
Answers
Answer:
1.2
Step-by-step explanation:
I am just writing this sentence to get the required amount of characters.
Determine how far the vehicle travels in 3 hours.
A helicopter travels 240 miles every 2 hours.
Answers
Answer:
360 miles
Step-by-step explanation:
The unit rate here is (240 miles) / (2 hours), or 120 mph.
In 3 hours the vehicle travels (120 mph)(3 hrs) = 360 miles
Answer:
360
Step-by-step explanation:
240/2 =120 So, you want to add 120 to 240 to get 360.
What is the root of the polynomial equation x(x-2)(x+3) = 18? Use a graphing calculator and a system of equations.
-3
0
ОООО
2
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Save and Exit
Next
Submit
Mark this and return
Answers
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The equation can be rewritten to make use of the graphing calculator's ability to identify function zeros:
x(x -2)(x +3) -18 = 0
The attached shows x = 3 is the only real solution.
_____
We're not sure what "system of equations" is intended. Perhaps it is ...
y = 18
y = x(x -2)(x +3)
To create the expression we graphed, we effectively subtracted the first equation from the second.
please help me with these two i have to send it after class!!!!!
Answers
the first one is the answer to #1
and the second one is the answer to #2
Which of the following numbers Display the ration of 3/10?
Answers
Find the HCF of 126 and 420
Answers
Answer:
42
Step-by-step explanation:
Find the prime factorization of 126
126 = 2 × 3 × 3 × 7
Find the prime factorization of 420
420 = 2 × 2 × 3 × 5 × 7
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 3 × 7
GCF = 42
The highest common factor HCF of 126 and 420 is 42
What is HCF and LCM?The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF
Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers
Product of HCF x LCM = product of two numbers
Given data ,
Let the HCF of the two numbers be represented as n
The value of n is
Let the first number be p = 126
Let the second number be q = 420
The factors of 126 = 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The factors of 420 = 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20 , 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210 and 420
So , the highest common factor of the two numbers 126 and 420 is 42
Therefore , the value of n = 42
Hence , the HCF is 42
To learn more about LCM and HCF click :
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Select the expression equivalent to (2.1x + 4.3) - (-3x - 7)
A. -0.9x - 2.7
B. -0.9x + 11.3
C. 5.1.x - 2.7
D. 5.1 x + 11.3
Please actual answers
Answers
Explanation : combine like terms which is 5.1x and 3x and you get the answer D!
Olivia buys cookies and apples at the store.
• She pays a total of $24.79.
• She pays a total of $4.75 for the cookies.
• She buys 4 bags of apples that each cost the same amount.
Answers
Because $24.79-4.75= $20.04
You said she bought 4 bags of apples each costing the same so now you divide $20.04 by 4 giving you $5.01
*ANSWER ASAP!! ITS FOR MY EXAM*
Matt drives 750 miles each month. He averages 21.5 MPG. If gas costs $3.15 per gallon, how much does he pay per month in gas?
a.) $75.15
b.) $100.88
c.) $109.88
Answers
Answer: c) $109.88
Step-by-step explanation: divide 750 by 21.5 to figure out how many gallons he would need and than multiply that by $3.15 to find out how much it would cost and you get $109.88
Answer:
109.88
Step-by-step explanation:
Divide 750 by 21.5. Then multiply the result by 3.15.
What is the solution to this system of linear equations?
y − 4x = 7
2y + 4x = 2
(3, 1)
(1, 3)
(3, −1)
(−1, 3)
Answers
Work out the length of AC.
Give your answer to 3 significant figures.
A
29 cm
23°
ch
B
Answers
Answer:
AC ≈ 11.3 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{29}[/tex] ( multiply both sides by 29 )
29 × sin23° = AC , then
AC ≈ 11.3 cm ( to 3 significant figures )
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
Answers
Answer:
Step-by-step explanation:
21 because x= tend + lHk
Answer:
88
Step-by-step explanation:
X° + 116° = 180°(sum of opposite angle of a quadrilateral in circle is equal 180 °)
x°=180-116
x°=64°
therefore
A=(2(64)-40)
A=88°
2/5- square root of 3
simplify
Answers
Answer:
(5 + √3)/11Step-by-step explanation:
2/(5 - √3) = 2(5 + √3)/(5 - √3)(5 + √3) = multiply by conjugate of the denominator2(5 + √3)/(25 - 3) = simplify(5 + √3)/11 answerFind the value of x.
93
2x + 12
Answers
how do i sketch a graph of y=2x that passes through the origin
Answers
Step-by-step explanation:
Given
Equation of line is [tex]y=2x[/tex]
Equation of line with slope m and intercept c on Y-axis is
[tex]y=mx+c[/tex]
Comparing the given line with slope-intercept form
[tex]\Rightarrow m=2\ \text{and}\ c=0[/tex]
The slope is also equal to [tex]\tan \theta[/tex]
[tex]\Rightarrow \tan \theta =2\\\Rightarrow \theta =63.43^{\circ}[/tex]
To sketch the equation of [tex]y=2x[/tex]
Make a line that passes through the origin at an angle of [tex]63.43^{\circ}[/tex] with the x-axis.Find the selling price of a $10 item after a 40% markup
Answers
Answer:
Revenue: $14
Profit: $4
Step-by-step explanation:
Hope this helps!
A brainlist would be appreciated! I'm almost an expert!
What is the area of this figure?
Answers
Answer:
You split it into two parts then add them
Step-by-step explanation:
. All clothing is being marked down 15%. Which expression represents the new retail price? A) 0.85x C 1.85x (B) 1.15x D 0.15x
Answers
Answer:
A
Hope that helps!
Step-by-step explanation:
The expression that represents all clothing is being marked down 15%.
is A) 0.85x.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
We know fractions and percentages are related.
Assuming the cost of clothing to be 'x'.
∴ After the markdown of 15% it is,
= {(100 - 15)/100}×x.
= {85/100}×x.
= 0.85x
learn more about percentages here :
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What is the product of 7 x 2/5 written as a mixed number?
Answers
Answer:
[tex] 2 \frac{4}{5} [/tex]
Step-by-step explanation:
[tex]7 \times \frac{2}{5} \\ \\ = \frac{7 \times 2}{5} \\ \\ = \frac{14}{5} \\ \\ = 2 \frac{4}{5} [/tex]
need to finish soon please help
Answers
BRAINLY- if b=12 and c=18 what is the value of A?
Answers
Answer:
6[tex]\sqrt{5}[/tex]
Step-by-step explanation:
I'm assuming you are referring to the Pythagorean Theorem, which has the equation [tex]a^{2} +b^{2} =c^{2} \\[/tex]
b=12 c=18
[tex]a^{2} +12^{2} =18^{2}[/tex]
[tex]a^{2}+144=324[/tex]
[tex]a^{2} =180[/tex]
a=[tex]\sqrt{180}[/tex]
a=[tex]6\sqrt{5}[/tex]
need helpppp gajsgajshajda
Answers
2.) 20
Steps:
1.) 180 = 3x + 136
180 -136 = 3x
44 = 3x
44/3 = x
14.66666666666667 = x
2.) 70 + x = 90
x = 90 - 70
x = 20
I would appreciate brainliest if this was helpful and correct! ;)