Answers
Answer:
1) x = 12
2) x = 23.1
3) x = 19
4) x = 16
5) x = 8
6) x = 17
Step-by-step explanation:
Comparing the sides of each triangle, we have;
1) [tex]\frac{32}{32 + x}[/tex] = [tex]\frac{24}{33}[/tex]
Cross multiply to get,
(32 + x) * 24 = 32 * 33
768 + 24x =1056
24x = 1056 - 768
24x = 288
x = 12
2) [tex]\frac{14}{34}[/tex] = [tex]\frac{x}{33 + x}[/tex]
cross multiply to have;
34x = 14 (33 + x)
34x = 462 + 14x
20x = 462
x = 23.1
3) [tex]\frac{20}{36}[/tex] = [tex]\frac{30}{x + 35}[/tex]
cross multiply to have;
36 * 30 = 20(x + 35)
1080 = 20x + 700
1080 - 700 = 20x
380 = 20x
x = 19
4) [tex]\frac{22.5}{42.5}[/tex] = [tex]\frac{2x - 5}{3x + 3}[/tex]
cross multiply to have;
42.5(2x - 5) = 22.5(3x + 3)
85x - 212.5 = 67.5x + 67.5
collect like terms
85x - 67.5x = 67.5 + 212.5
17.5x = 280
x = 16
5) [tex]\frac{2x + 4}{2x + 8}[/tex] = [tex]\frac{x + 7}{x + 10}[/tex]
cross multiply to have;
(2x + 8)(x + 7) = (2x + 4)(x + 10)
2[tex]x^{2}[/tex] + 14x + 8x + 56 = 2[tex]x^{2}[/tex] + 20x + 4x + 40
2[tex]x^{2}[/tex] + 22x + 56 = 2[tex]x^{2}[/tex] + 24x + 40
collect like terms to have;
22x - 24x = 40 - 56
-2x = -16
x = 8
6) [tex]\frac{28}{82}[/tex] = [tex]\frac{2x + 8}{7x + 4}[/tex]
cross multiply to have;
82(2x + 8) = 28(7x + 4)
164x + 656 = 196x + 112
164x - 196x = 112 - 656
-32x = -544
x = 17
The value of x in all the options can be determined by using the arithmetic operations. The calculations are given below.
1)
Given :
Two side lengths of a triangle are (x + 32) and 33.
According to the similar triangles property:
[tex]\dfrac{32+x}{32}=\dfrac{33}{24}[/tex]
SImplify the above expression in order to determine the value of 'x'.
768 + 24x = 1056
24x = 288
x = 12
2)
Given :
Two side lengths of a triangle are 34 and (x + 33).
According to the similar triangles property:
[tex]\dfrac{14}{34}=\dfrac{x}{33+x}[/tex]
SImplify the above expression in order to determine the value of 'x'.
34x = 462 + 14x
20x = 462
x = 23.1
3)
Given :
Two side lengths of a triangle are 36 and (x + 35).
According to the similar triangles property:
[tex]\dfrac{20}{36}=\dfrac{30}{35+x}[/tex]
SImplify the above expression in order to determine the value of 'x'.
1080 = 20x + 700
20x = 380
x = 19
4)
Given :
Two side lengths of a triangle are (3x + 3) and 42.5.
According to the similar triangles property:
[tex]\dfrac{22.5}{42.5}=\dfrac{2x-5}{3x+3}[/tex]
SImplify the above expression in order to determine the value of 'x'.
85x - 212.5 = 67.5x + 67.5
17.5x = 280
x = 16
5)
Given :
Two side lengths of a triangle are (2x + 8) and (x + 10).
According to the similar triangles property:
[tex]\dfrac{2x + 4}{2x+8}=\dfrac{x+7}{x+10}[/tex]
SImplify the above expression in order to determine the value of 'x'.
(2x + 8)(x + 7) = (2x + 4)(x + 10)
[tex]2x^2+22x+56=2x^2+24x+40[/tex]
16 = 2x
x = 8
6)
Given :
Two side lengths of a triangle are 82 and (7x + 4).
According to the similar triangles property:
[tex]\dfrac{28}{82}=\dfrac{2x+8}{7x+4}[/tex]
SImplify the above expression in order to determine the value of 'x'.
28(7x + 4) = (2x + 8)82
32x = 544
x = 17
For more information, refer to the link given below:
https://brainly.com/question/25277954
Related Questions
Jordan wants to split up his socks and shoes into groups. If he has 6 pairs of shoes and 14 pairs of socks, how many groups must he create so he has an equal number of pairs of shoes and pairs of socks?
Answers
Answer:
i amm not sure
Step-by-step explanation:
The number of groups Jordan must create so he has an equal number of pairs of shoes and pairs of socks is 2.
What is HCF?The highest common factor (HCF) is discovered by identifying all common factors of two integers and then picking the greatest one. For example, the common factors of 8 and 12 are 1, 2, and 4. The greatest common factor is four.
Jordan wants to split up his socks and shoes into groups. If he has 6 pairs of shoes and 14 pairs of socks. Therefore, she can divide the pair of socks and shoes only into groups of 2, because two is the HCF of 6 and 14.
Hence, the number of groups Jordan must create so he has an equal number of pairs of shoes and pairs of socks is 2.
Learn more about HCF:
https://brainly.com/question/17240111
#SPJ2
[tex]\frac{3}{4}-\frac{2}{3}[/tex]
Answers
So we’d have
9 - 8
———
12
1
—-
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Answers
In the data set below, what are the lower quartile, the median, and the upper quartile? 626676848497 lower quartile = median = upper quartile =
Answers
Answer:
Q1 = 4
Q2 = 7
Q3 = 42. 75
Step-by-step explanation:
Given the data:
626676848497
6, 2, 66, 7, 6, 8, 4, 8, 49, 7
Arrange in ascending order :
2, 4, 6, 6, 7, 7, 8, 8, 49, 66
The lower quartile (Q) :
1/4(n+1)th term
n = number of sample = 10
1/4(11)th term
2.75 term : (2 + 6) /2 = 8/2 = 4
Median :
1/2(n+1)th term
n = number of sample = 10
1/2(11)th term
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Upper quartile :
3/4(n+1)th term
3/4(11)th term
8.25 th term
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A kids toy ball is in the shape of a sphere and has a diameter of 9 millimeters. What is the volume of the toy ?
Answers
Answer:
381.7 ... hope this helped
Step-by-step explanation:
V=
4
3
π
r
3
d=
2
r
Solving forV
V=
1
6
π
d
3
=
1
6
π
9
3
≈
381.70351
Answer:
381.7 mm cubed
Step-by-step explanation:
To find the volume of a sphere is V=4 /3πr³
----------
Since they give you the diameter, you have to divide by 2, so:
9 ÷ 2 = 4.5
When you plug in 4.5, you get you answer.
---------
Have a good day :)
Anyone know this plsss
Answers
Answer:
I have the same question but with one more number.
anyways-
30 or 15? (i dont know, maybe look at the other answer?)
Step-by-step explanation:
V=135 m^3
Explanation:
You can find volume of a triangular prism by using V=(base•height)
Base is the triangle which you find using 1/2•base of the triangle•height of the triangle. So,
Base = (1/2•6•5)
= 15
Then you multiply this by height of the prism which is 9
15•9= 135
what is the surface area of the cylinder with height 8 ft and radius 3 ft round your answer to the nearest thousand.
Answers
Answer:
207.24
Step-by-step explanation:
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So first you beg your mom to seduce your teacher then all you needa do is sit back in that class
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Answer:
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Step-by-step explanation:
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Answer:
I'm about to share an image with you that explains how to divide fractions!!
Answer:
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Step-by-step explanation:
e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning.
Answers
Answer:
60 ft long bc that would leave 10ft on each side of the banner...Step-by-step explanation:
Hopes this helps. Mark as brainlest plz!Answer:
Solution given:
length [l]=breadth [b]=40ft
Now
length of concession banner[h]=?
we have
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by using Pythagoras law
h²=p²+b²
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Step-by-step explanation:
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Answers
Answer:
value of x = 12
value of y = 8
solve the system by substitution
5x+y=-14
5x- 3y=2
Answers
Answer:
x = -2, y = -4, or (-2, -4).
Step-by-step explanation:
5x + y = -14
5x - 3y = 2
If we look at the first equation, we can see that y can be easily isolated.
5x + y = -14
Subtract 5x from both sides.
y = -5x - 14
Now we have a variable that we can plug into the second equation.
5x - 3y = 2
5x - 3(-5x - 14) = 2
Distribute the -3 across each term in the parentheses.
5x + 15x + 42 = 2
Combine like terms.
20x + 42 = 2
Subtract 42 from both sides.
20x = -40
Divide both sides by 20 to isolate x.
x = -2
Plug in x = -2 back into one of the equations to find y.
y = -5x - 14
y = -5(-2) - 14
Multiply.
y = 10 - 14
Subtract.
y = -4
Our solution is x = -2, y = -4, or (-2, -4).
Check your answer by plugging both values into one of the equations.
5x - 3y = 2
5(-2) - 3(-4) = 2
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2 = 2
Your answer is correct.
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Find cos B using SOHCAHTOA
Answers
Write an equation of the line in slope-intercept form that passes through the point (3, 8) with slope 4?
Answers
Y = mx + b
m = slope, b = y intercept
Given the slope of 4
Y = 4x + b
Plug in the point (3,8)
8 = 4(3) + b
8 = 12 + b, b = -4
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Which expression is equivalent to –7 –(-2.5)?
Answers
Answer: A) -7 + 2.5
Step-by-step explanation:
- and - makes +, which makes -(-2.5) a +2.5
because there is a double negative it makes 2.5 positive.
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Solve the following equation for g: 2(9 - h) = b + 4
Answers
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Answers
Answer:
B. 5/16
Step-by-step explanation:
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What is 2/3-1/2 equal to (fraction form)
Answers
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Hope this helps <3
Answer:
=1/6
Step-by-step explanation:
First of all you have to find the lcm of the two denominators which are, 3 and 2
Lcm of 2 and 3 =6
Then divide 6 by by the denominators and multiply by numerators, which gives you
(4-3) / 6
After solving the above, we then arrive at 1/6 as our answer.
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Which degree measurement is equivalent to radians?
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A. 1050
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Answers
Answer:
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Suppose you drop a ball from 120 feet. The ball will bounce to 25 of its previous height. What is the total distance the ball travels from when you let it go to the max height it reaches after the 5th bounce? Round to the nearest tenth.
A) 268.7
B)273.9
C)277.1
D)279.3
Answers
Answer:
277.1 feets
Step-by-step explanation:
Drop height = 120 feets
Ball bounces 2/5 of previous height
Height after 1st bounce :
120 * 2/5 = 48 feets
Return distance = 48 feets
Height after second bounce :
48 * (2/5) = 19.2 feets
Return distance = 19.2 feets
Height after 3rd bounce :
19.2 * (2/5) = 7.68 feets
Return distance = 7.68 feets
Height after 4th bounce :
7.68 * (2/5) = 3.072 feets
Return distance = 3.072 feets
Height after 5th bounce :
3.072 * (2/5) = 1.2288 feets
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Approximate the distance between (0, -5) and (4, 1) to the nearest tenth, if necessary.
Answers
Answer:
7.7
Step-by-step explanation:
To solve this question we must use Pythagoras (a²+b²=c²) Let those two dots be A and B respectively.Imagine a line is drawn that pases through both dots,
Imagine that the line given is the hypotenuse (the longest side of a right-angled triangle) of a right-angled triangle and the other sides as a line from A going to the right, and a line from B going downwards, making the final vertexes for the triangle at coordinates: 0,-5 4,1 and 4,-5 (the vertex we made). now we find the lengths for the sides: 4 and 6 so we use these to plug them into pythagoras's equation:
4²+6²=c²
24+36=c²
√60=c
c=7.74....
But all we need is until the tenths so the answer is 7.7 (as the hundredths digit, 4, rounds down)
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Which graph represents the equation y = x2-5?
Answers
Are you trying to graph the problem to??
Nadia compares the weights, in grams, of some apples and oranges she find the median abs interquartile range of the weights.
Answers
Answer:
Apple
Orange
Step-by-step explanation:
Apple has the greater median with a median value of 150 which is more than that of orange at 130
The sample with the greater variability is the orange sample as the interquartile range value of 11 is greater Than 8 for Apple.
Yes it is possible, because of the greater variation on weight shown by the sample of oranges, then it could be possible.
If F(x) = 4(x-8) + 2, what is the value of F(2)?
Answers
I will give brainllents If the rectangle below is enlarged using a scale factor of 2.5, what will the area of the new rectangle be?
Group of answer choices
55 in sq
150 in sq
24 in sq
27.5 in sq
Answers
Answer:
answer: 150 in sq
Step-by-step explanation:
All we have to do to these is multiply 2.5 by the base and height then multiply base × height so 2.5 × 8 = 20 2.5 × 3 = 7.5
20 × 7.5 = 150 Hope this helps!