Answers
Answer:
The value of x in centimeters is 22.5 cm
Step-by-step explanation:
The corresponding sides of the similar triangles are proportion which means have equal ratios
∵ Δ ABC is similar to Δ FGH
∵ AB and FG are corresponding sides
∵ BC and GH are corresponding sides
∵ AC and FH are corresponding sides
→ That means the ratios between them are equal
∴ [tex]\frac{AB}{FG}[/tex] = [tex]\frac{BC}{GH}[/tex] = [tex]\frac{AC}{FH}[/tex]
∵ AB = 6 cm and FG = 15 cm
∵ BC = 5 cm and GH = 12.5 cm
∵ AC = 9 cm and FH = x
→ Substitute them in the rule above to find x
∴ [tex]\frac{6}{15}[/tex] = [tex]\frac{5}{12.5}[/tex] = [tex]\frac{9}{x}[/tex]
→ By using cross multiplication with the 1st and 3rd ratios
∵ 6 × x = 15 × 9
∴ 6x = 135
→ Divide both sides by 6 to find x
∵ [tex]\frac{6x}{6}[/tex] = [tex]\frac{135}{6}[/tex]
∴ x = 22.5 cm
∴ The value of x in centimeters is 22.5 cm
Related Questions
i will give the crown
Answers
Answer:
24
Step-by-step explanation:
BAM!
Leila pumped 6 gallons of water out of her pool each minute for 24 minutes what was the total change in the amount of water in her pool answer in gallons
Answers
Answer:
The answer is 144.
Step-by-step explanation:
The question said 6 gallons of water comes out every minute. So, if you multiply 6x24 you get the answer of 144.
unit 1 test algebra 2
Answers
7) -7,0,5 A or (1)
8) 3x +5 C or (3)
9) 2 B or (2)
6) The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.
7) The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.
8) The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).
9) There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.
We have,
6)
x² + 8x - 15 = 5x + 13
Rearranging the equation:
x² + 8x - 5x - 15 - 13 = 0
x² + 3x - 28 = 0
Now, factorize the quadratic equation:
(x + 7)(x - 4) = 0
Setting each factor equal to zero:
x + 7 = 0 or x - 4 = 0
Solving for x:
x = -7 or x = 4
7)
2x (x - 5) (x + 7) = 0
Setting each factor equal to zero:
2x = 0 or x - 5 = 0 or x + 7 = 0
Solving for x:
x = 0 or x = 5 or x = -7
8)
(x + 5) (x + 8 + 2x - 3)
Simplifying the expression inside the parentheses:
(x + 5) (3x + 5)
9)
x³ - 5x² + 2x + 13 = 5
Substitute each integer value from 0 to 10 into the equation and count the number of solutions.
Substituting each integer value,
x = 0,
x³ - 5x² + 2x + 13 = 5
0 - 0 + 0 + 13 = 5
13 = 5
Not true.
Similarly,
x = 2,
x³ - 5x² + 2x + 13 = 5
8 - 20 + 4 + 13 = 5
25 - 20 = 5
5 = 5
True.
x = 4,
x³ - 5x² + 2x + 13 = 5
64 - 80 + 8 + 13 = 5
85 - 80 = 5
5 = 5
True.
There are two integer solutions:
x = 2 and x = 4.
Therefore,
The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.
The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.
The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).
There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.
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If Mis a centroid of triangle WOR and WM = 16, what is WX?
8
24
10
32
Answers
Answer:
WX = 24
Step-by-step explanation:
Centroid of a triangle divides the medians of the triangle in the ratio 2 : 1
Therefore,
WM/ MX = 2/1
16/MX = 2/1
2MX = 16
MX = 16/2
MX = 8
WX = WM + MX
WX = 16 + 8
WX = 24
The value of the side WX is equal to 24. The correct option is B.
What is the centroid of the triangle?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.
A line connecting a side's midpoint and the triangle's opposite vertex is called the median. Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The centroid of a triangle divides the medians of the triangle in the ratio of 2: 1.
Here, the ratio of the two sides will be given as:-
WM/ MX = 2/1
Calculate the value of MX to get the value of WX.
16/MX = 2/1
2MX = 16
MX = 16/2
MX = 8
The value of WX will be:-
WX = WM + MX
WX = 16 + 8
WX = 24
Therefore, the value of the side WX is equal to 24.
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What is the difference between a continuous or a discrete function? Explain.
Answers
Between which two consecutive integers does V185 lie?
A
12 and 13
B.
13 and 14
C
14 and 15
D.
15 and 16
Answers
Answer: B
Step-by-step explanation: desmos
For the following quadratic equation, find the discriminant.
x^2+ 10x + 44 = 0
Answers
Answer:
padlet com /vpena20241
/sv1blyklvnvfbcdw
Step-by-step explanation:
2) A television regularly costs $180, but it is on sale for 40% off. There is a
5% sales tax on the sale price. How much does the television cost after
the discount and sales tax?
A. $75.60
B. $103.00
C. $113.40
D. $145.00
Answers
Answer:
$113.40Step-by-step explanation:
180 x 0.6 = 108
108 x 0.05 = $5.40
108 + 5.4 = $113.40
To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds?
400 milligrams
480 milligrams
550 milligrams
600 milligrams
Answers
Answer:
138/92*320 = 480 milligrams. ... If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who ... If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds. 2.
Step-by-step explanation:
I hope I help :)
if any of you guys know someone named shurmpy or molly plz tell me they real good freinds to me
Answers
Answer:
ok
Step-by-step explanation:
Determine whether each graph represents a function. Select Yes or No for each graph.
Yes No
Graphl
Graph II
Graph lll
Answers
Answer:
Graph 1 yes
Graph 2 yes
Graph 3 no
Step-by-step explanation:
Graph 1 is a linear function
Graph 2 is a reciprocal function
Graph 3 is not a function
In the third figure for a single input, there is two output thus it will not function thus, l Yes, II Yes, and III No.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
A relation will be a function if for every single x there must be a single y.
As per the given graphs,
In the first and second graphs, for every x value the y has a single value thus it will be a function.
In the third graph, for x there are two y for example at x = -6,(y = 1.4 and y = -6.4 approx) thus it will not be a function.
Hence "In the third figure for a single input, there is two output thus it will not function thus, l Yes, II Yes, and III No".
For more about the function,
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On a coordinate grid, where is the center of this circle?
x² + y² = 2
A)
(-1, -1)
B)
(0,0)
(1.1)
D)
(2, 2)
Answers
Answer:
Option B) (0,0) is the correct answer.
Step-by-step explanation:
Given equation of circle is:
[tex]x^2+y^2 = 2[/tex]
The general form of equation of circle with center at (h,k) and radius r is given by:
[tex](x-h)^2+(y-k)^2 = r^2[/tex]
The given equation of circle can also be written as:
[tex](x-0)^2+(y-0)^2 = 2[/tex]
Comparing it with the general form of equation, we get
h = 0 , k = 0
So the center is (0,0)
Hence,
Option B) (0,0) is the correct answer.
An education budget went from $800,000 to $900,000. What is the approximate percent increase? The approximate percent increase is 13%. The approximate percent increase is 89%. The approximate percent increase is 98%. The approximate percent increase is 113%.
Answers
Answer:
The answer is 13%
Step-by-step explanation:
The approximate percent increase is 13%.
What is Percentage Increase?Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. To calculate the percentage we need to have the initial value and the increased (new) value. In other words, we can say that percentage increase is a measure of percent change which gives the extent to which a quantity gains magnitude, intensity, or value. If the percentage increase is a negative value, then we can say that there is a percentage decrease of the same magnitude.
Percentage Increase FormulaFollowing the concept of percentage increase, the percentage increase formula is derived and expressed as: Percentage Increase = [(Final Value - Initial Value)/Initial Value] × 100. It should be noted that since the percentage has to be a positive quantity, we take the absolute value of the initial value. If the percentage increase is a negative value, then it is a percentage decrease. The percentage increase is the relative change in the quantity with respect to its initial value. If the percentage change is positive, then it is the percentage increase and if the percentage change is negative, it is a percentage decrease.
Given:
initial =$900,000
Final = $900,000
% increase = $900,000- $800,000/ $800,000 * 100
% increase = 100, 000/8000
% increase = 12.5 %
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5) Use any 2 of these integers: -1, -2, -5, -3, and +4.
a) Which 2 integers make the mathematically smallest number when multiplied together?
(for example, the answer - 8 is smaller than +2)?
b) Which 2 integers make the greatest sum (when they are added together)?
Answers
Answer:
a) -5 and 4 make the mathematically smallest number when multiplied together
b) 4 and -5 make the greatest sum
Step-by-step explanation:
-5 x 4 = -20
-3 x 4 = -12
-2 x 4 = -8
-1 x 4 = -4
-1 + -5 = -6
-2 + -5 = -7
-3 + -5 = -8
4 + -5 = -1
YOOOO HELP ME ASAP DUDED BY MIDNIGHT BRO
How do you find the value of x please help me( Look at the picture provived)
Answers
Answer:
x=5
Step-by-step explanation:
We know that a pentagon is in total 540 degrees. From this, we add all other numbers and set them equal to 540 to solve for x.
So, after adding all the angles and setting them equal to 540, we get this.
21x+435=540
21x=105
x= 5
If you want, plug 5 into x and see if it adds up to 540 to check
21(5)+435=540
An assembly was held for the 7th graders. When first entering the gym 5 out of 8 of the 7th grade boys had on hoodies. If 320 boys attend the assembly , what is a reasonable amount of them that will be wearing hoodies?
140
200
180
160
Answers
Brandi earned $140 from a summer job to buy new clothes for school. She found several items she would like to buy, but is trying to decide if she has enough money to buy all the items she likes. She found two pairs of shorts for $25 each and four shirts with an average cost of $19 per shirt. She will have to pay 7.5% sales tax.
PART A: If she buys all of the items, how much sales tax will she have to pay?
The sales tax for Brandi's purchase will be $(insert answer here)
PART B: What is the total cost of her purchase including sales tax?
Brandi will spend $(insert answer here) on her purchases, including sales tax.
Answers
Answer: a. $9.45 ; b. $135.45
Step-by-step explanation:
Since two pairs of shorts for $25 each, the total amount she'll pay for the shorts is:
= $25 × 2
= $50
Since the four shirts with an average cost of $19 per shirt. The total amount she'll pay for the shirt is:
= $19 × 4
= $76
A. Her sale tax will be calculated as:
= 7.5% × ($50 + $76)
= 0.075 × $126
= $9.45
B. Her total cost will be:
= Cost of shorts + Cost of shirts + Sales tax
= $50 + $76 + $9.45
= $135.45
Answer:
Part A- 9.45 Part B- 135.45
Step-by-step explanation:
please help so I can pass
Answers
Find the least common denominator of the following pair of fractions:
1/2 4/5. ASAP
a. 7 b. 20 c. 30 d. 10
Answers
Answer:
10
Step-by-step explanation:
1/2 4/5 turn into
5/10 8/10
since 10 is the denominator 2*5 =10 so take the 5 and times by the numerator or 1 to make the 5
5*2 is 10 so take 2 times the numerator (4) to make 8
10
~ hope this helps⚡️
PLS HELP
solve the system of equation using elimination:
3x+y=-2
5x-y=-10
Answers
Answer:
(-3/2, 5/2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
3x + y = -2
5x - y = -10
Step 2: Solve for x
Eliminate y
Add 2 equations together: 8x = -12Divide 8 on both sides: x = -12/8Simplify fraction: x = -3/2Step 3: Solve for y
Define original equation: 3x + y = -2Substitute in x: 3(-3/2) + y = -2Multiply: -9/2 + y = -2Add 9/2 on both sides: y = 5/2PLS HELP I GIVE BRAINLIEST
Answers
I cant seem to understand this. Please, someone help :)
Answers
Answer:
76
Step-by-step explanation:
Find the equation of the line passing through the points (5,21) and (-5,-29)
Answers
HELP PLS BRAINLIEST FOR CORRECT ANSWER
Answers
Answer:
83
Step-by-step explanation:
Answer:
x = 59
y = 83
Step-by-step explanation:
First, you need to solve for y in order to solve for x. Using the Triangle Sum Theorem, you will find that y is 83 degrees.
Now, using the Vertical Angles Theorem, you can figure out the third angle of the triangle in which x is, 83.
Using the Triangle Sum Theorem again, you will find that x is 59.
Please help will mark brainliest
Answers
Answer:
The answer is C i had it on my exam on edge
Step-by-step explanation:
Answer:
ffesfsEFesfSEfESfESfeSESEF
Step-by-step explanation:
fsefesfessfsEfaesgeaergae
uh so yeah, I don't really know how to do this but if anyone could help it would be greatly appreciated
giving max points
Answers
Answer:
Step-by-step explanat it won’t let me download the PFDPLZZ give me brainless I’ll still help you put the questions in the comment section
Which number line shows the graph of -2.75
-3
-2
-1
0
1
2
3
0
1
2.
3
-3 -2
-1
0
1
2 3
-3 -2
0
1
2.
3
Answers
Answer:
B.
Step-by-step Explanation:
The correct number line for -2.75 < x in the given options is the second diagram.
What is number line?
A number line is a picture of straight line that represents real numbers. These real numbers include both negative and positive numbers.
For the given expression which -2.75 < x, that is negative 2.75 is less than x or x is greater than negative 2.75.
On the number line, the arrow with unshaded circular bottom must start from -2.75 and point towards the right.
Thus, the correct number line in the given options is the second diagram or option B.
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What is the answer to 3-(-8)
Answers
Answer:
11
Step-by-step explanation:
3 - (-8) = 3 + 8 = 11
Answer: 11
Step-by-step explanation:
This is because when you subtract a negative number from a positive you get a positive (here's a lil trick if you have 2 minuses In a row they become a plus sign) so the answer is 11
-2 1/2 divided by 3 1/2 ?
Answers
Step-by-step explanation:
[tex] - 2 \times \frac{1}{2} \div 3 \times \frac{1}{2 } \\ - \frac{5}{2} \div \frac{7}{2} \\ - \frac{5}{2} \times \frac{2}{7} \\ = - \frac{5}{7} [/tex]
What is the slope,m, of the table?
What is the y-intercept,b, of the table?
What is the equation that represents the table?
Answers
Answer:
9
Step-by-step explanation: