Answers
Given:
Triangles ABC and DEF are similar triangles.
AB = 6 m, BC = 16 m, CA = 15 m, DE = x, EF = 32 m, FD = y
To find:
The values of unknown sides, i.e., x and y.
Solution:
We know that the corresponding parts of similar triangles are proportional and triangles ABC and DEF are similar triangles, so
[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{CA}{FD}[/tex]
[tex]\dfrac{6}{x}=\dfrac{16}{32}=\dfrac{15}{y}[/tex]
[tex]\dfrac{6}{x}=\dfrac{1}{2}=\dfrac{15}{y}[/tex]
Now,
[tex]\dfrac{6}{x}=\dfrac{1}{2}[/tex]
[tex]6\times 2=1\times x[/tex]
[tex]12=x[/tex]
Similarly,
[tex]\dfrac{1}{2}=\dfrac{15}{y}[/tex]
[tex]1\times y=15\times 2[/tex]
[tex]y=30[/tex]
Therefore, the measure of unknown sides are x = 12 m and y = 30 m.
Related Questions
I dont know how to do this pls help me
Answers
x = 36 Answer
By Pythagoras Theorem
Round the number 78 to the nearest tenth
61
80
16
Answers
Answer:
The answer is 80
Step-by-step explanation:
78 is closer to 80
Answer:
the answer is 80
Step-by-step explanation:
it will be 80 because 78 is closest to 8
If ∠2 and ∠3 are complementary angles and m∠2 = 24°, find m∠3.
Answers
Answer:
sorry dont know
Step-by-step explanation:
Answer:
yessadadasdadada
Step-by-step explanation:
What is the answer of this equation?
100 = r + 10
Answers
Answer:
90 + 10 = 100 ;-;
Step-by-step explanation:
yeahh!
Find the measure of the indicated angle. Round to the nearest degree.
21
33
Answers
Answer:
The angle is 50 degrees
Step-by-step explanation:
Sine = Opposite / Hypotenuse
Sine ? = 21 / 33
21 / 33 = 0.6363
Cos-1 of 0.6363 is 50.4788
Round to the nearest degree
50.4788 = 50
sine^- 1 21/33 = θ
Answer: Approximately 0.7 or 70 degrees.
The height of a right cone is 3 inches shorter than the radius. What is the height of the cone if the volume is 17 cubic inches?
a. 3.454 inches
b. 4.01 inches
c. 7.01 inches
d. 1.01 inches
Answers
Answer:
1.03 inches
Step-by-step explanation:
Volume of a come = 1/3πr²h
If the height of a right cone is 3 inches shorter than the radius, then;
h = r - 3
Substitute
V = 1/3πr²(r-3)
Given that V = 17in^3
17 = 1/3πr²(r-3)
17*3 = 3.14r²(r-3)
51/3.14 = r²(r-3)
16.242 = r²(r-3)
r² = 16.242
r = √16.242
r = 4.03
Since h = r - 3
h = 4.03 - 3
h = 1.03 inches
hence the height is 1.03 inches
If a = 12 in and b = 25 in, what is the area of the pencil? A. 372 in2 B. 169 in2 C. 322 in2 D. 444 in2
Answers
Answer:
1169 in^2 Approx
Step-by-step explanation:
Given data
We know that the shape of the pencil is cylindrical
Hence the dimension is
Diameter= 12in
Radius= 12/2= 6in
Height= 25in
The surface area of a cylinder is given as
T.S.A.=2πrh+2πr^2
Substitute
T.S.A.=2*3.142*6*25+2*3.142*6^2
T.S.A.=942.6+226.224
T.S.A=1168.824
Hence the area is 1169 in^2 Approx
Which equation represents the like that is parallel to y= 3 and passes through (-2,-8)
A. X=-2
B. X=-3
C. Y=-8
D. Y=3x-2
Answers
Hope this helps
Use the Pythagorean Theorem to find the distance between points F and C.
What is the distance between (-4,-1) and ( -2,-2)
Answers
Answer:
-2, -1
Step-by-step explanation:
omg! please help! it’s due in 4 hours and i don’t know the answers to it
Answers
Dale runs 10 miles in 75 minutes. At the same rate, how many miles would he run in 69 minutes?
Answers
Answer: 9.2 miles
Step-by-step explanation:
Answer: 9.2 miles
Step-by-step explanation: hope this helps you!
ayudaaaa por favor es urgente
Answers
Answer:
use trig
Step-by-step explanation:
sin(15) = 100/x
x = 100/sin(15)
use calculator
Someone help with the second question
Pleaseeeee
Answers
Answer:
Answer shown above.
Have a good day
A BUSHEL OF APPLES WEIGHS ABOUT 42 POUNDS. THERE ARE 4 PECKS OF BUSHELS. IT TAKES 2 POUNDS OF APPLES TO MAKE ONE PIE. HOW MANY PIES CAN YOU MAKE WITH ONE PECK OF APPLES?
Answers
Answer:
84 pies
Step-by-step explanation:
if you multiply 42 pounds by4 pecks. You get 168 pounds. and then you divide that by 2 and you can make 84 pies
Please give me the correct answer.Only answer if you're very good at math.
Answers
Answer:
1st graph
Step-by-step explanation:
this is the only graph that begins at 24, has a negative slope, is linear, and ends at (8,0) which, after 8 hours losing 3 pots per hour, makes sense
I can tell because at 0 hours, they started out with 24 plants, which means there should be a point at (0,24). I also know that free every hour, they remove 3 plants, so the line should be going down (as the number of pots keeps on getting lower).
please helpp don’t know how to solve
Answers
Answer:
65 cm
Step-by-step explanation:
Hey There!
So the congruency statement ABC = TUV
states that side AB = side TU side BC = side UV and side CA = side VT
The given side lengths are BC and UV which are congruent to each other so we set up an equation to solve for x
7x+2=6x+11
step 1 subtract 2 from each side
2-2 cancels out
11-2=9
Now we have
7x=6x+9
step 2
subtract 6x from each side
7x-6x=x
6x-6x cancels out
now we have 9=x so x=9
Now we just plug in 9 to x in (6x+11)
to find the length of the given side length
6x9=54
54+11=65
Because side VU and side BC are congruent they both equal 65 cm
So we can conclude that the length of the given sides is 65 cm
The1AndOnlyMarkus
Devon wants to build a ramp with the dimensions shown. How much wood does he need?
470 in.2
560 in.2
568 in.2
680 in.2
I WILL MARK BRAINLIEST ANSWER WITH STEPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
680 in^2
Step-by-step explanation: (find the surface area)
2(8 x 15 x 1/2) = 120
8 x 14 = 112
17 x 14 = 238
15 x 14 = 210
Answer:
This ain't an answer, the other guy is right I'm just putting this here so he can get brainliest
Step-by-step explanation:
plz help me with this question
Answers
Jason can travel 24 3/4 miles in 1/2 hour. What is his average speed in miles per hour?
Answers
just multiply the miles by 2 because it is only half an hour
Answer:
24 3/4 miles is the distance
1/2 hour - is time
V=S/t
24\frac{3}{4}
4
3
/ 0.5 = \frac{(24*4+3)2}{4}
4
(24∗4+3)2
=49.5 miles per hour
a ratio of 10 to 2 is the same as A 8/2 B 8/10 C 12/8 D 5/1
Answers
Answer:
D. 5/1
Step-by-step explanation:
10/2 = 5
5/1 = 5
I hope this helps :)
I need help pls thank you
Blah blah
Answers
Answer:
TSP RSU
Step-by-step explanation:
Hope this helps!
given the expression -x^2-6x+7,when expressed in form a(x+h)^2+k, the value of k is?
Answers
Answer: k = 16
Step-by-step explanation:
The equation is written in the form:
y = ax^2 + bx + c
y = -x^2 - 6x + 7
y = a(x - h)^2 + k where (h, k) is the vertex
a = -1 (from the original equation)
h = -b/2a (this is the equation for the line of symmetry or the x-value of the vertex)
h = -(-6)/2(-1) = 6/-2 = -3
when x = -3, y = ?
y = -(-3)^2 - 6(-3) + 7
y = -(9) + 18 + 7
y = -9 + 18 + 7
y = 16
(-3, 16) is the vertex
Since k is the y-value of the vertex, k = 16
I'll just take it a step further and write the whole equation:
Substitute all the values we found
-1(x +3)^2 + 16
-(x + 3)^2 + 16
PLEASE HELP I BEG YOU!!!
What is the longest line in a cube that has a side length of 7 cm?
Answers
Answer:
14cm
Step-by-step explanation:
All side lengths in a cube will be 7 as the properties of a cube are such that all the side lengths are the same.
Think of the longest line in a cube as a hypotenuse on a triangle.
[tex]7^{2} + 7^{2} = c^{2}[/tex]
49 + 49 = [tex]c^{2}[/tex]
[tex]c^{2}[/tex] = 98
c = [tex]\sqrt{98}[/tex]
[tex](\sqrt{98})^{2} + (\sqrt{98} )^{2}[/tex] = [tex]c^{2}[/tex]
[tex]c^{2}[/tex] = 98 + 98
[tex]c^{2}[/tex] = 196
c = [tex]\sqrt{196}[/tex]
c = 14
The longest line in a cube that has a side length of 7cm is 14cm.
Area of Shape please !!!
Answers
Answer:
135 cm squared
Step-by-step explanation:
9x20 (for the big bottom rectangle) plus (14-9)x11 because you already found the area of the big rectangle.
Billy is 80 feet from the base of a building. The angle of elevation to the top of the building is 35 degrees. If the distance from Billy's eyes to the ground is 5 feet, how tall is the building?
Answers
Answer:
61 ft
Step-by-step explanation:
The detailed step by step solution has been attached in pen and paper format. Feel free to ask any doubt.
Ratio and simplify the ratio helpp
Answers
2: 1/2
3: 1/4
4: -4/1
I hope those r the correct answers
Ashley had a summer Lemonade Stand where she sold small cups of lemonade for $1.25 and large cups of lemonade for $2.50 if Ashley sold a total of 150 cups of lemonade for $265 how many cups of each type did she sell
Answers
Answer:
Step-by-step explanation:
S and L are the number of small cups and large cups, respectively.
S + L = 150
L = 150 - S
1.25S + 2.50L = 265
1.25S + 2.50(150-S) = 265
1.25S - 2.50S + 375 = 265
S = 88
L = 150-S = 62
Explain how you know that 88 is a solution to the equation 18x=11 by completing the sentences: The word "solution" means . . . 88 is a solution to 18x=11 because . . .
Answers
Correct Question:
Explain how you know that 88 is a solution to the equation 1/8x =11 by completing the sentences:
The word "solution" means . . .
88 is a solution to 1/8x=11 because . . .
Answer/Step-by-step explanation:
✔️The word solution means the value of the unknown variable, x. This means, when the value of x is substituted into the equation, the equation becomes balance as the value on the left equals the value on the right.
✔️88 is a solution to ⅛x = 11 because:
if we substitute x for 88 into the equation, both sides would be equal.
Thus:
⅛×88 = 11
11 = 11
Which expression is equivalent to 46 - 2x)?
A) 24-8x
B) 24-6x
C) 10-8x
D) 10-6x
Answers
Answer:
24-8x
Step-by-step explanation:
Answer:jghgghfgfhgfhghfj
Step-by-step explanation:
The manager of a store increases the price of a popular product by 7%. Let t be the original price of the product. The new price is t + 0.07t. Find an expression equivalent to the new price. I NEED HELP ASAP PLEASEEEEEEEEEEE!!!!
Answers
Answer:
0.07t+t
Step-by-step explanation:
The required new expression after increasing the price by 7% is 1.07t, where t is the original price.
The manager of a store increases the price of a popular product by 7%. let t be the original price of the product. The new price is t + 0.07t.
to find an expression equivalent to the new price.
Cost price is the price for the buyer pays to the seller for an object or product.
Here, let the whole proportion of the price of the product is t.
now price increased by 7% so 7/100*t = 0.07*t
The total increase in price = t + 0.07t
= 1.07 * t
So the new expression for the product after a 7% hike in price, 1.07t
Thus, the required new expression after increasing the price by 7% is 1.07t, where t is the original price.
Learn more about cost price here:
https://brainly.com/question/11027396
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