Use the figure to complete each statement
1-6. pleaseee help will give brainliest
Answers
Answer:
1. UW // TX
2. VX // UY
3. UW ≅ TY ≅ YX
4. YW = [tex]\frac{1}{2}[/tex] TV
5. TX = 2 UW
6. ∠TXV ≅∠WUY
Step-by-step explanation:
The line segment joining the midpoint of two sides of a triangle is parallel to the third side and equal to half its length
In Δ XVT
∵ U is the midpoint of VT
∵ W is the midpoint of VX
∵ XT is the 3rd side of the triangle
→ By using the rule above
∴ UW // TX ⇒ (1)
∴ UW = [tex]\frac{1}{2}[/tex] TX
→ Multiply both sides by 2
∴ 2 UW = TX
∴ TX = 2 UW ⇒ (5)
∵ Y is the midpoint of TX
∴ TY = YX = [tex]\frac{1}{2}[/tex] TX
∵ UW = [tex]\frac{1}{2}[/tex] TX
∴ UW ≅ TY ≅ YX ⇒ (3)
∵ U is the midpoint of VT
∵ Y is the midpoint of XT
∵ VX is the 3rd side of the triangle
→ By using the rule above
∴ UY // VX
∴ VX // UY ⇒ (2)
∴ UY = [tex]\frac{1}{2}[/tex] VX
∵ W is the midpoint of VX
∵ Y is the midpoint of XT
∵ TV is the 3rd side of the triangle
→ By using the rule above
∴ YW // TV
∴ YW = [tex]\frac{1}{2}[/tex] TV ⇒ (4)
∵ 2 Δs UYW and XVT
∵ UY = [tex]\frac{1}{2}[/tex] XV
∵ YW = [tex]\frac{1}{2}[/tex] VT
∵ WU = [tex]\frac{1}{2}[/tex] TX
∴ [tex]\frac{UY}{XV}[/tex] = [tex]\frac{UW}{VT}[/tex] = [tex]\frac{WU}{TX}[/tex] = [tex]\frac{1}{2}[/tex]
→ By using the SSS postulate of similarity
∴ ∠TXV ≅∠WUY ⇒ (6)
Related Questions
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
Answers
Answer:
yes
Step-by-step explanation:
you would multiply 2 and 3 then you would add whatever you got from that to 3 which would be 6+3
hope this helps!
Answer this question for me please
Answers
Answer:
-8
Step-by-step explanation:
Answer:
4th one is the right answer.
| x | -2 | 1 | 2 | 3 |
| y | -6 | 3| 6 | 9 |
Step-by-step explanation:
The x and y relationship is in the form y=kx and the graph starts from the origin.
Therefore the graph represents a proportional relationship which holds a equation y=x/3, where k=1/3.
what is the value of x ?
Answers
Answer:
6
Step-by-step explanation:
You only have to solve one of them but please explain how to do it because I have many more
Answers
As x > -infinity, y > infinity
As x > infinity, y > infinity
Chance's family of 5 has 3 2/5 pizzas left over that they want to eat for dinner tonight. If they share the pizza equally, how much does each family member get?
Answers
Answer: 17/25 pizza per each family member.
A right rectangular prism has edges of 8 feet, 4 feet, and 1/2 foot. How many cubes with side lengths of 1/2 foot would be needed to fill the prism?
Answers
Answer:
Step-by-step explanation:
From the question we are told that
Edges of 8 feet, 4 feet, and 1/2 foot
Generally the volume V_p of the right rectangular prism is mathematically represented as
[tex]V_p=8*4*0.5[/tex]
[tex]V_p=16[/tex]
Generally volume of the cube V_c is mathematically given as
[tex]V_c =(\frac{1}{2})^3[/tex]
[tex]V_c =\frac{1}{6}[/tex]
Therefore total number of cubes is given as
[tex]V=\frac{V_p}{V_c}[/tex]
[tex]V=\frac{16}{\frac{1}{6}}[/tex]
[tex]V=96[/tex]
Find the missing number.
Answers
Answer:
48
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
Since 5 x 4 = 20 and you have to do the same with the numerator and denominator, 12 x 4 = 48
11.
The domain of f(x) is [4, 5, 6]. If f(x) = 3x + 2, what is the range?
Answers
Answer:
The range of the function is:
Range R = {14, 17, 20}
Step-by-step explanation:
Given the function
[tex]f(x) = 3x + 2[/tex]
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.We are given that the domain of the function is:
Domain D = {4, 5, 6}
Now,
substituting x = 4 in the function
f(4) = 3(4) + 2
f(4) = 12 + 2
f(4) = 14
substituting x = 5 in the function
f(5) = 3(5) + 2
f(5) = 15 + 2
f(5) = 17
substituting x = 6 in the function
f(6) = 3(6) + 2
f(6) = 18 + 2
f(6) = 20
Thus, we conclude that:
at x = 4, y = 14
at x = 5, y = 17
at x = 6, y = 20
Thus, the range of the function is:
Range R = {14, 17, 20}
Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
Answers
Answer:
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]
Step-by-step explanation:
We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
The general equation in slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Finding Slope:
Both the equations given are parallel. So, they will be having same slope.
Slope of given equation y= - 2/3x is m = -2/3
This equation is in slope-intercept form, comparing with general equation [tex]y=mx+b[/tex] where m is slope , we get the value of m= -2/3
So, slope of required line is: m = -2/3
Finding y-intercept:
Using slope m = -2/3 and point (-3,5) we can find y-intercept
[tex]y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3[/tex]
So, we get b = 3
Now, the equation of required line having slope m = -2/3 and y-intercept b =3
[tex]y=mx+b\\y=-\frac{2}{3}x+3[/tex]
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]
Answer:
[tex]\displaystyle y = -\frac{2}{3}x + 3[/tex]
Step-by-step explanation:
5 = –⅔[–3] + b
2
[tex]\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3[/tex]
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.
I am joyous to assist you at any time.
PLEASEEEEEEEEEEEEEEEEEEEEEEE HELP ME!!!!
Answers
There are 100 dekameters in 1 kilometer. How many dekameters are in 8.5 kilometers?
Answers
Answer:
850.
You just multiply the 8.5 by 100.
Answer:
850
Step-by-step explanation:
50 dkms(dekameters) in 0.5 km(kilometer)
8.5/0.5 =17
17*50 = 850
Marcus was asked to find out what affects the strength of electromagnets. He was given a simple electromagnet made from a coil of wire and a power supply.
What variables could Marcus investigate?
Answers
Answer:
bncjk make sure bgfdf hi olb f see him be see vg hhzch
Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express
the result in standard form.
Answers
Answer:
[tex](f.g)x = {x}^{2} + 24x + 140[/tex]Step-by-step explanation:
[tex]given \\ f(x) = x ^{2} + 10x + 21 \: and \: g(x) = x + 7[/tex]
[tex]as \: we \: know \: (f.g)x \: is \: same \: as[/tex]
[tex]f(g(x))[/tex]
[tex]so \: [/tex]
[tex]f(x + 7) = ( x + 7) ^{2} + 10(x + 7) + 21[/tex]
[tex]f(x + 7) = {x}^{2} + 14x + 49 + 10x + 70 + 21[/tex]
[tex]f(x + 7) = x^{2} + 24x + 140[/tex]
[tex]therefore [/tex]
[tex](f.g)x = {x}^{2} + 24x + 140[/tex]
Which statements accurately describe how to determine the y-intercept and the slope from the graph below?
(ANSWERS ARE ALSO IN A PHOTO)
Answers
Answer:
C) The third option. To find the y intercept move vertically, to find the slope, y2-y1/x2-x1
Step-by-step explanation:
Find 22÷(−2) need help
Answers
Answer:
-11...................
Answer:
-11
Step-by-step explanation:
22/2=11
its negative so make it negative
Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. How much money will he have left after he pays back his mother?
Answers
Answer:
$12
Step-by-step explanation:
Juan borrowed $10
His mother loaned him $3 more
= $10 + $3
= $13
He sold $25 worth of lemonade in the first week
If the pays his mother then the amount that will be left with him can be calculated as follows
= $25 - $13
= $12
Answer:
$12
Step-by-step explanation:
got it on edge
A company offers a flood insurance policy that costs a
homeowner $200 per year, and the company will make a
payout of $100,000 to the homeowner if they have a
flood in that year. The company set this price based on
the probability of a flood in the area being 0.001.
The table below displays the probability distribution of
X = the company's profit from one of these policies.
Answers
Answer:
3,161
Step-by-step explanation:
Khan
Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance.
If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
Enter your answer in the box.
Answers
Answer:
3 months
Step-by-step explanation: Let after m months they saved same amount of money.
Given,
Saving of Jaclyn = $ 120,
Amount earned by him/her per month = $ 40,
So, the total amount contained by him/her in m months = Saving + earning for m months
= 120 + 40m,
Similarly, saving of Pedro = $ 180,
Amount earned by him/her per month = $ 20,
So, the total amount contained by him/her in m months = 180 + 20m
Thus, we can write,
120 + 40m = 180 + 20m
40m = 180 + 20m - 120
40m - 20m = 60
20m = 60
⇒ m = = 3.
Hence, it will take 3 months before which Jaclyn and Pedro have saved the same amount of money.
What is the surface area of the cylinder with height 3 cm and radius 6 cm? Round your to the nearest thousandth.
Answers
Answer:
113.097
Step-by-step explanation:
so Basically to find the area of this cylinder have to set up to equation ((2)6pi)3
first you multiply 2 x 6 getting you 12 then multiply it by pi which in mathematical terms is 37.7 multiplied by 3, getting you 113.097
which can be simplified to 113
The surface area of the cylinder with height 3 cm and radius 6 cm is 340 cm².
What is surface area?The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces.
Given that, the cylinder with height 3 cm and radius 6 cm, we need to find its surface area,
SA of a cylinder = 2 π × radius × (height + radius)
= 2 × 3.14 × 6 × (3+6)
= 2 × 3.14 × 6 × 9
= 339.12
≈ 340
Hence, the surface area of the cylinder with height 3 cm and radius 6 cm is 340 cm².
Learn more about surface area, click;
https://brainly.com/question/29298005
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Find the degree of the polynomial -m^6-10m^3
Answers
Answer:
We conclude that:
The degree of the polynomial is 6.Step-by-step explanation:
Given
Given the polynomial
[tex]-m^6-10m^3[/tex]
To determine
The degree of the polynomial
In order to determine the degree of the polynomial, we need to check the term with the highest of the degree with non-zero coefficients. The degree of an individual term is basically the exponent of the term.
In our case,
The exponents of the terms of this polynomial are, in order, 6, and 3.
Thus, the highest degree (larger exponent) of the term is 6.
Therefore, we conclude that:
The degree of the polynomial is 6.Which of the following does not represent a proportional relationship?
A. Nicole earns $5 per hour. How many hours must she work to earn $100?
B. Frances walks 2.2 miles every 30 minutes. If she continues to walk at this rate, how far can she walk in 4 hours?
C. Juanita has 7 ceramic frogs in her collection. In addition, she will receive 3 ceramic frogs for her birthday each year, how many ceramic frogs total will she have in 10 years?
D. The earth rotates on its axis every 24 hours. How many rotations will the earth complete in 15 days?
Answers
(-10x^2-1)+(-8x^2+8x-8) (−10x 2 −1)+(−8x 2 +8x−8)
Answers
Answer:
804−803+702−1
Step-by-step explanation:
Pleaseeeee someone helpppppp !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
This one is very simple.
The triangle on the left has two equal sides, so the angle on the opposite side of that same triangle is also 52º. That angle is on a 180º line, so the angle right next to it has to be 180º - 52º, so 128º. The other two angles of that triangle are unknown, but still equal because of the sides being the same. So, subtract 128º from 180º to get 52º again, but divide it by two. The angle measurement of x = 26º
I need help quick I’ll give extra point to who ever answers
Answers
Answer:
1 = c
2 = b
3 = d
4 = d
5 = a
Step-by-step explanation:
1) 3x-4>17
2) 3x-4<17
3) 3x-4<=17
4) 3x-4<=17
5) 3x-4>=17
Answer:
Step-by-step explanation:
Fitness R Us charges $58 to join the club. During January, the club has a markdown of 51% per joining fee. What is the fee in January? plz help me.
Answers
Answer:
100-51=49
49/100 x 58
= $28.42
Answer:
28.42
Step-by-step explanation:
the equation would be 58 times .49
58 times .49 is 28.42
(PLEASE HELP I WILL GIVE BRAINLIEST) Mr. Kircher has a coupon for 30% off to purchase a KV sweatshirt. The sweatshirt was originally priced at $40.
What is the amount of the discount that Mr. Kircher will save?
Answers
Answer:
$12
Step-by-step explanation:
30% of 40 = 12
Answer:
its 28.00
Step-by-step explanation:
trust me
Explain the purpose of statements and reasons in a formal proof.
Answers
Answer:
Find the explanation below.
Step-by-step explanation:
Statements simply state the theorem that is to be proofed. Formal proof in logical sequence connects the hypotheses to the conclusion reached.
Statements and reasons are important because they help to breakdown a theorem, showing in steps and stages how a conclusion was reached. They provide facts that convince the observer that the theorem is indeed true.
Convert -36° from degrees to radians
Answers
Answer:
-0.6283
Step-by-step explanation:
-36° × π/180 = -0.6283rad
aswer
Answer:
-36π/180 or -.6283
Step-by-step explanation:
To convert from degrees to radians you multiply it by π/180
So you have -36π/180 which gets you around -.6283
27 = -3x - 9 plssss helppp
Answers
Answer:
x = 1-2
Step-by-step explanation:
27 = - 3x - 9
36 = -3x
-12 = x
x = -12
Step-by-step explanation:
27+9=-3x
36=-3x
36 divided by -3=x
-12=x
guess a number from 1 -10
ill mark u brainliest if u get it right
Answers
Answer:
7
Step-by-step explanation:
Answer:
2
Step-by-step explanation: