Two triangles have side lengths 3, 4, 5 and 6, _____, 10, respectively. The triangles are similar to each other.
9
7
8
6.6
Answer:
The correct option is: 8
Step-by-step explanation:
Suppose, the missing side length in second triangle is [tex]x[/tex]
So, the side lengths of first triangle: [tex]3, 4, 5[/tex]
and the side lengths of second triangle: [tex]6, x, 10[/tex]
As two triangles are similar, that means their corresponding side lengths will be proportional.
So,
[tex]\frac{3}{6}=\frac{4}{x}\\ \\ 3x= 4*6\\ \\ 3x= 24\\ \\ x=\frac{24}{3}=8[/tex]
So, the missing side length in second triangle is 8.
Solve 4/7=x+3/21 need help ASAP
Find the equation for the line that passes through the point (−4,−2), and that is perpendicular to the line with the equation y−1=34(x+2).
Find the equation for the line that passes through the point (−4,−2), and that is perpendicular to the line with the equation y−1=34(x+2).
Based on the graph, which statement BEST describes what is happening to the temperature over time?
A.The temperature rises 10 degrees over 3 hours.
B.The temperature rises 10 degrees over 6 hours.
C.The temperature rises 40 degrees over 3 hours.
D.The temperature rises 50 degrees over 6 hours.
Help quick please!!! Find the value of x
Write an equation for the line that passes through (0, -9) and (3, 0).
A. y = 3x + 9
B. y = -9x + 3
C. y = 3x + 3
D. y = 3x - 9
find the volume of the composite figure. round your answer to the nearest hundredth
The correct answer is 590.77mm3.
In three more years, miguel's grandfather will be six times as old as miguel was last year. when miguel's present age is added to his grandfather's present age, the sum is 68. how old is each one now?
Tina is growing sunflowers in her garden. The flowers are currently 6 inches tall each week x, they will double in size . Which equation best represent how tall the sunflower will b in x weeks
Consider the following set of equations:
Equation A: y = −x + 5
Equation B: y = 6x − 2
Which of the following is a step that can be used to find the solution to the set of equations?
−x = 6x + 2
−x − 2 = 6x + 5
−x + 5 = 6x – 2
−x + 5 = 5x
Find the sum or difference: 2.8 - -5.1
All log graphs contain the points (1,0), (a,1), and (1/a,-1).
True .
False.
A relay team ran a race. Each team member ran #1/4# of the distance. The whole race was #8/9# mile. How far did each team member run?
A laptop company has discovered their cost and revenue functions for each day: c(x) = 3x2 − 10x + 200 and r(x) = −2x2 + 100x + 50. if they want to make a profit, what is the range of laptops per day that they should produce? round to the nearest number which would generate profit.
Solve the equation. Check for extraneous solutions
please help!!!
The cost of fertilizing a lawn is $0.25 per square foot. find the cost to fertilize the triangular lawn whose base is left parenthesis 14 plus startroot 17 endroot right parenthesis feet and altitude is startroot 68 endroot feet.
Can someone help me solve this ??
The external angle at the intersection of two secants is half the difference of the intercepted arcs. That is
∠E = (1/2)(4x° -2x°) = x°
The given measure of arc AB tells you
... 4x° = 56°
... x° = 14°
The appropriate choice is ...
... B. 14°
Which of the following steps could be used as a shortcut method to multiply 12 by 50
The sides of a rectangle are in a 3:4 ratio. What is the length of the shorter sides of the rectangle if it's perimeter is 42cm
Given a rectangle with sides in a 3:4 ratio and a perimeter of 42 cm, the length of the shortest side is 9 cm.
Explanation:We are given that the sides of the rectangle are in a 3:4 ratio and that the perimeter is 42 cm. The rectangular perimeter is calculated by the formula 2*(length + width). In this case, because the sides are in a 3:4 ratio, we can say 2*(3x + 4x) = 42, where 'x' represents the length of the shortest side.
Solve this equation, 2*(7x) = 42, we find that 'x' is 3. So the length of the shorter side, 3x, is 9 cm. Applying the same 3:4 ratio, the longer side, 4x, is 12 cm.
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To find the length of the shorter side of a rectangle with sides in a 3:4 ratio and a perimeter of 42cm, we set up an equation using the ratio values as coefficients and the known perimeter. Solving this equation shows that a unit in the ratio equals 3cm and the shorter side is 9cm.
Explanation:In this mathematics problem, we are trying to find the length of the shorter side of a rectangle, knowing that the sides are in a 3:4 ratio and that the perimeter is 42cm. The perimeter of a rectangle can be found by using the equation [tex]P=2L+2W[/tex] (Perimeter equals twice the length plus twice the width).
If we represent the shorter side as 3x and longer side as 4x, we can establish the following equation based on the given perimeter:[tex]2*(3x)+2*(4x)=42c[/tex]m. Simplifying this equation gives 14x=42cm. Solving for 'x', we find x=3. Therefore, each unit in the ratio corresponds to 3cm, and the length of the shorter side, represented by 3x, is [tex]3*3=9[/tex]cm.
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Given f(x)=x-7 and g(x)=x2 find g(f(-1))
The hypotenuse of a right triangle is 5 m long. The longer leg is 1 m longer than the shorter leg. Find the side lengths of the triangle.
The Pythagorean theorem is used to determine the lengths of a right triangle's sides. When we know the hypotenuse length and the fact that one leg is 1m longer than the other, we can solve for the lengths to be approximately 3m and 4m.
Explanation:The subject of your question is related to the geometric concept of right triangles and the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².
In this problem, we know the hypotenuse = 5m and the longer leg is 1m longer than the shorter leg. Let's denote the shorter leg as 'x' m. Consequently, the longer leg is 'x+1' m. Applying the Pythagorean theorem, we get: (x)² + (x+1)² = 5².
Solving this equation, we find x~3m (shorter leg) and x+1~4m (longer leg). These are the lengths of the sides of your right triangle.
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A crowd of 50,000 fans is expected to attend the homecoming football game. if the typical vendor can serve 1,500 customers per hour and the game will last for four hours, how many vendors are needed to ensure that each fan can be served during the game? (round to the nearest whole number.) a) 9 b) 10 c) 8 d) 1
Since every hour, a vendor sells to 1500 customers, we multiply by hours, like this:
1500 * 4 = 6000.
Then we divide 50000/6000, and that would give us 8.33333333, and we round that to the next number which is 9, and that's the answer.
Answer: 9 vendors.
Hope this helped! c:
Using Multiplication, There are 9 vendors are needed to ensure that each fan can be served during the game.
What is Multiplication?Multiplication is to "increase a number by the number of times mentioned".
According to the question,
Number of fans expected to attend a football game = 50,000
Number of customer to be served = 1,500per hour
To find number of customer to be served for 50,000 fans
The game has to be last for 4 hours.
Formula : 1 vendor is to sell 1,500 customer per hour
4*1500 = 6000
A vendor has to sell 6000 customers in 4 hours.
In order to find the number of vendors have to sell 50,000 customers in 4 hours
Let 'x' be the number of vendors
To find the number of vendors only if we divide 50,000 by 6000
=[tex]\frac{50,000}{6000}[/tex] = 8.333 ≈ 9
Hence, there are 9 vendors are needed to ensure that each fan can be served during the game.
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MANY POINTS!!
When adding fractions, make sure the ______ are the same, and then add the _______.
Kevin owes $4,645 on a credit card with a 19.7% interest rate compounded monthly. What is the monthly payment he should make in order to pay off this debt in 12 months, assuming he does not charge any more purchases with the card?
$387.08
$84.34
$429.62
$1,034.65
**Please help with steps too, please.
A farmer planted corn in a square field.one side of the field measures 36 yards. what is the area of the cornfield
Answer:
1,296 ik im late but yeah
Step-by-step explanation:
13. Which theorem or postulate proves the two triangles are similar? The diagram is not drawn to scale.
A. AA Postulate
B. AS Postulate
C. SSA Theorem
D. SSS Theorem
Answer:
A) AA postulate
Step-by-step explanation:
This postulate used to prove the two triangles are similar.
If two angles in a triangle are congruent to two angles in other triangle, then the two triangles are called similar.
Hope this will helpful.
Thank you.
What are the coordinates of the image of vertex P after a reflection of rx-axis(x, y)? P'( , )
Answer: (-7, 4)
Step-by-step explanation:
What is cos (x)?
A) 48/58
B) 58/48
C) 26/58
D) 58/26
The baseball team has sold tickets to a spaghetti dinner. forty-eight student tickets have been sold at $1.50 each. if the baseball team has made $149 total from the sale of all tickets, and adult tickets cost $3.50, how many adult tickets were sold?
Compare the functions shown below:
f(x)
cosine graph with points at 0, negative 1 and pi over 2, 1 and pi, 3 and 3 pi over 2, 1 and 2 pi, negative 1
g(x)
x y
−6 −11
−5 −6
−4 −3
−3 −2
−2 −3
−1 −6
0 −11
h(x) = 2 cos x + 1
Which function has the greatest maximum y-value?
a. f(x)
b. g(x)
c. g(x) and h(x)
d. f(x) and h(x)
Answer:
f(x) and h(x)
Step-by-step explanation:
f(x) and h(x) have the greatest maximum y-value because if you graph out all the equations you can determine by graph which ones have the greatest y-value. When you graph the equations you find that f(x) and h(x) both have a greatest y-value of 3! While g(x) has a greatest y-value of -2.
*Please note that it is looking for the greatest y-VALUE not the greatest y-INTERCEPT.