the model below, the anchor of a guy-wire is 16 feet away from the telephone pole. John puts a 5 foot pole under the guy-wire parallel to the telephone pole (see image below).
John knows the distance he put his pole from the anchor, which is labeled X. John says he can use similar triangles to calculate the height of where the guy-wire meets the telephon
ble.
o you agree with John's statement that he can prove similarity if we know side x? Provide mathematical justification.
h
5 ft
16 ft
В І у
Answers
Answer:
Yes, because the two triangles share common segments.
Related Questions
What is the measure of angle DEG on circle O
Answers
9514 1404 393
Answer:
50°
Step-by-step explanation:
Angle DEG is also angle DEC. It subtends arc DC as does inscribed angle DFC. Inscribed angles that subtend the same arc have the same measure.
∠DFC = ∠DEG = 50°
Answer: 50
Step-by-step explanation: Khan Academy
Ms. Benson is making a jewelry box using 2 identical squares of wood and 4 identical rectangular pieces of wood, as shown below.
What is the surface area of the jewelry box in square inches (sq. in)?
Answers
Length of rectangles = 7 in.
Breadth of 4 rectangles = 3 x 4
= 12 in.
Side of squares = 3 in.
Area of 4 rectangles = length x breadth
= 7 x 12
= 84 sq. in.
Area of two squares = 2(side x side)
= 2(3 x 3)
= 18 sq. in.
Therefore, Surface area of the Jewellery box = 84 sq. in. + 18 sq. in.
= 102 sq. in.
For what values of t can 2x^2+tx+10 be written as the product of two binomials?
Answers
The value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.
What is binomial?A binomial expression is an expression that has two terms.
In order to get the value of t for which the given expression 2x²+tx+10 will be a product of two binomial. We need to find a number(A) that is when broken into two other numbers(B and C), the sum of these numbers(B and C) is the number itself(A). Also, the product of the two numbers is equal to the product of the rest two terms of the expression(2 and 10).
Therefore, the number that fulfills this condition is 9. Let's check by substituting the value of t as 9.
[tex]2x^2+tx+10\\\\= 2x^2+9x+10 \\\\= 2x^2+5x+4x+10\\\\ = x(2x + 5)+2(2x+5)\\\\= (x+2)(2x+5)[/tex]
Hence, the value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.
Learn more about Binomial:
https://brainly.com/question/3560614
John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week
Answers
Given :
John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.
To Find :
How many weeks will it be before Aiden knows as many songs as john?
Solution :
Let, after x weeks Aiden know a songs and John know j songs.
The linear equation for both the situation is :
a = x + 12 .....( For Aiden )
j = 2x + 4 ......( For John )
We need to find in which week Aiden knows as many songs as John.
For this , a = j
x + 12 = 2x + 4
x = 8
Therefore, in 8th week both of them know the same number of songs.
Which of the following are the sines for the angles of this triangle? Select all that apply.
Answers
Answer:
Answer attached
Step-by-step explanation:
Please help meeeee I will mark brainliest
Answers
Answer:
It's y-x= -4
Step-by-step explanation:
I drew the graph and figured out the points. Hope this helps.
Major arc CBD measures 300 degrees. Which is the radian measure of its corresponding central angle? O 4 pie/3 O 5 pie/6 O 5 pie/3 O 11 pie/6
Answers
Answer:
[tex]\dfrac{5\pi}{3}[/tex]
Step-by-step explanation:
Given that,
Major arc CBD measures 300 degrees.
We need to find the radian measure of its corresponding central angle.
Radian measure is given by :
[tex]R=\dfrac{\pi}{180}\times d\\\\R=\dfrac{\pi}{180}\times 300\\\\R=\dfrac{5\pi}{3}[/tex]
So, the radian measure is [tex]\dfrac{5\pi}{3}[/tex].
ill mark brainlist plss help
Answers
Answer:
5.86
Step-by-step explanation:
1 gram = 100 centigrams
if the probaility that it will rain tomorrow is 1/5 what is the probaility that it will not rain tomorrow
Answers
Answer:
4/5 would be the answer....
Can someone help me
Answers
Geometry question, help ya girl out
Answers
Answer:
A=36 a means area
Step-by-step explanation:
A=a+b/2
h=6+12/2
times 4=36
Answer:
=36cm^2
Step-by-step explanation:
6-12=6 (total cm of the bases for triangle B and C)
6/2= 3 (base of B and C trialngleis 3 )
Triangle formula: bh 1/2
(base)b= 3cm
height(h)=4
Formula: (3)(4) 1/2
=12 1/2
=6cm^2
^ area of 1 triangle
There are 2, so
6*2=12cm^2 (area of triangles )
Area of rectangle: L*W
4*6=24cm^2
Total area of trapezoid
=24cm^2+12cm^2
=36cm^2
what are two factors of 12 whose sum is 7
Answers
Answer:
Well it will be 7+5=12 and 6+6=12
Step-by-step explanation:
The two factors of 12 whose sum is 7 are 4, 3.
What is meaning of factors ?Those numbers which can completely divide a number such that the remainder is zero are called factors of the number they divide.
The number given is
12
The factors of 12 are 1, 2, 3, 4, 6, 12.
The two factors of 12 whose sum is 7 are 4, 3
4+3 = 7
Therefore ,The two factors of 12 whose sum is 7 are 4, 3.
To know more about Factors
https://brainly.com/question/24182713
#SPJ2
at a school, 40% of the sixth grade students said that hip hop is their favorite kind of music. if 100 sixth grade students perfer hip hop music, how many sixth grade students are at the school?
Answers
Answer:
Step-by-step explanation:
250 students are in the 6th grade have a good night it is night hear if you live in America east side 10:34 PM
3
Discuss TWO ways in which some cultural views that ex
a relationship negatively.
.4
Compare TWO ways in which destructive relationships ir
well-being as opposed to constructive relationships.
1.5
Recommend TWO ways in which women and children ca
protected from discrimination and violence.
1.6
Read the statement below and answer the question that
"Only 52 per cent of women married or in a un
make their own decisions about sexual relations
Answers
Answer:
There are as many definitions of empire as there have been empires, but some pretty familiar elements appear in most of them. It starts with working on our “control issues”.
The two ways in which some cultural views may negatively affect a relationship are:
The notion that females should be domesticated and submissive has made them to be sometimes inferior in relationships.The view of male partners as a totalitarian leader (head) makes them to develop excessive ego and pride in relationships.What is a relationship?A relationship refers to a continuous and often committed interaction (association) that typically exist between two (2) or more people, which may either be platonic, romantic (intimate), negative, or positive.
In Sociology, there are four (4) main types of relationships and these include the following:
Family relationshipsRomantic (intimate) relationshipsFriendshipsAcquaintanceshipsIn conclusion, it is evident that some cultural views or perceptions may have a negative impact on a relationship.
Read more on relationships here: https://brainly.com/question/25862883
i need to know what 7 3/4 x 3 5/7 is please help me
Answers
Answer: 7 3/4 x 3 5/7 is 28 11/14
Step-by-step explanation:
7 3/4 x 3 5/7
31/4 x 26/7
806/28
403/14 or 28 11/14
Answer:
44 2/7
Step-by-step explanation:
Turn into improper fractions
31/4*40/7
Cross Multiply (4 and 40)
31/1*10/7
Now multiply
310/7
Simplify
44 2/7
Hope this helps!!!
Have a great day!!!!
Which of the following is a Prime Number? 9, 5,4
Answers
Answer:
5
Step-by-step explanation:
9 = 1,3,9
5 = 1,5
4 = 1,2,4
Explanation: 5 has only two factors they are 1 and 5 this makes it a prime number
I would appreciate brainliest if this was helpful and correct! :)
FIND THE MEASURE OF THE MISSING ANGLE
Answers
Answer: the answer is 66
Step-by-step explanation: 180-90-24=66
Well the sum of all the angles of a triangle is 180˚ so 24+90=114˚
180˚-114˚=66˚.
2) Find the median.
4,9, 1, 4, 6, 2, 3,1
A) 1 and 4
B) 3.5
C) 3.75
D) 8
pls help me show work
Answers
Answer:
3.5
Step-by-step explanation:
1-List the numbers from least to greatest
1, 1, 2, 3, 4, 4, 6, 9
2- Then cross off a number from each side unitl you ar with 3 and 4 in the middle.
3- Add 3+4 Together
7
4- Divide by two
3.5
Find the volume of the cone. Round your answer to the nearest tenth.
The volume of the cone is about ____ cubic inches.
Answers
The formula is 1/3(3.14)(r^2)(h)
1/3(3.14)(2^2)(4)
9. The ratio of boys to girls in Mrs. Reeves's class is 4 to 5. There are 20 girls in the
class.
What is the total number of students in Mrs. Reeves's class?
Answers
Answer:
boys : girls
4 : 5
multiply by 4
16 : 20
total = 36
Answer:
80
Step-by-step explanation:
Help me plz will give Brainly est
Answers
Answer:
$394.38
Step-by-step explanation:
the formula is I=PRT the trick here is converting the rate from 7% to a decimal. its 0.07. so you have I=(939)(.07)(6)=394.38
can u PLEASE stop ignoring me i really do need help): try#7263738 of trying to get help lol
Answers
Answer:
SSS for the top one
SSS for the second one
Step-by-step explanation:
Sandy pays $120 for 4 violin lessons. How much does she pay for 8 violin lessons?
Answers
Answer:
$240
Step-by-step explanation:
120x2
Answer:
240
Step-by-step explanation:
120x2= 240
or
120+120=240
Andy buys shoes that are on sale for 25% off the regular price. If the sale price is $36.45, what was the regular price of the shoes to the nearest cent?
Answers
solve simultaneously
[tex] {2}^{x} + {3}^{y} = 9 \\ {2}^{x + 2} - {3}^{y + 1} = 8[/tex]
Answers
Answer:
I hope this helps you :)
Answer:
2x+3y=9
2x+2-3y+1=8
2x-3y=8
2x-3y+3y=8+3y
2x=8+3y
2x=8+3y
2 2
x=8+3y
2
2(x) +3y=9
2* (8+3y)/2 +3y=9
(16+6y)/2)+3y=9
2*(16+6y)/2)+3y=9
16+6y+6y=18
6y+6y=18-16
12y=2
12y = 2
12 12
y=2
12
y=0.16666666666667
2x+3 (0.16666666666667)=9
2x+0.5=9
2x=9-0.5
2x=8.5
2x = 8.5
2 2
x=8.5
2
x=4.25
Joanne deposited $10,000 into an account that earns 5.5% compound interest, compounded annually. How much interest will Joanne earn after 10 years
Answers
Answer:
55.0%
Step-by-step explanation:
I used a calculator
40 to a ratio of 2:3
Answers
Answer: 16:24
Step-by-step explanation:
add the ratio so 2+3=5
Divide from 40 so 40/5=8
multiply by individual ratios
2*8:3*8= 16:24
Please help, will mark brainliest
Answers
Answer:
The picture is just a black screen. Please tell me the question in the comments and I will try to help!
Step-by-step explanation:
The volume of a 3 cm cube is
O 9 cu cm
O 12 cu cm
O 6 cu cm
O 27 cu cm
Answers
1. 4(2x + 3) = 36
Thanks please help with this
Answers
Answer: x=3
Step-by-step explanation: Hope this help :D
Answer:
x=3
Step-by-step explanation:
4(2x+3)=36
8x+12=36
8x=24
x=3