Answers
Answer:
YZ = 44
Step-by-step explanation:
Let the intersection of XW and YZ equal A. For this problem, we can use power of a point in the scenario where two secants intersect in the interior of a circle. We get the equation:
WA * AX = ZA * AY
We can substitute the values we are given to get:
(2x - 6)(21) = (x + 1)(30)
42x - 126 = 30x + 30
12x - 126 = 30
12x = 156
x = 13
Using segment addition postulate, we can say that:
YZ = YA + AZ
And we can plug in what we know from the diagram:
YZ = 30 + x + 1
We can also plug in the value of x, 13
YZ = 30 + 13 + 1 = 44
Related Questions
The golden ratio is denoted by which Greek letter?
A. Beta
B. Omega
C. PHI
D. PSI
Answers
the golden ratio is denoted by which greek letter?
Φ phi
Which of the following do not represent the measures of the sides of a triangle?
A)57, 80, 24
B) 43, 133, 89
C) 5, 6, 7
D 20, 20, 30
Answers
===========================================================
Explanation:
For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.
A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).
Put another way, we must have these three conditions hold true for a triangle to form:
p+q > rp+r > qq+r > pIf any of those three are false, then we cannot make a triangle with side lengths p,q,r
-----------------
Let's go over choice C for an example in which we can form a triangle
p = 5, q = 6, r = 7
We can see that,
p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.
The volume of a cylinder is 62.8 cubic meters and the radius is 2 meters.
Find the height of the cylinder. Round to the nearest meter.
Answers
Answer:
Height: 5meters
Step-by-step explanation:
Using the formula h= V over pie/3.14r^2 = 62.8 over 3.14 times 2^2 gives us 4.99747.
Q12.
Which relation is a function?
A
{(-1, 3), (-2, 6), (0, 0), (-2, -2)}
B
{(-2, -2), (0, 0), (1, 1), (2, -2)}
C
{(7, 4), (8, 8), (10, 8), (10, 10)}
D
{(4, 0), (4, 1), (4, 2), (4, 3)}
Answers
Where can you buy a ruler that is 3 feet long?
Answers
Answer:
At a yard sale
Step-by-step explanation:
Which two products can add to find 9 times 4?
Answers
Answer:
2x18=36
im not sure if that's what you meant but i can answer again if you want
Step-by-step explanation:
Answer:
sin ( 330 )
csc ( 60 )
cos ( 390 )
Step-by-step explanation:
I don’t understand it help and add a explanation for me pls :}
Answers
PLEASE HELP THANK YOU BRANLIEST IS PROVIDED
Answers
Answer:
Solution given;
area of semi circle=½πr²=1/2×3.14×4²=25.12in²
area of rectangle ABCD=l×b=8×13=104in²
area of rectangle CEFI=l×b=3×6=18in²
Total area =25.12+104+18=147.12in²
Area of circle
πr²π(7+6-5/2)²π(8/2)²16π25.12in²Area of centre rectangle
8(13)104in²Area of right rectangle
3(6)18in²Total
18+104+25.12122+25.12147.12in²Helpppp chile. I’m stuck sidnfifnfig vkfniffnf
Answers
Step-by-step explanation:
12*4 - 2*2
48 - 4
44 ft of carpet.
A survey asked first-year college students, "How many miles is this college from your permanent home?" Students had to choose from the following options: 5 miles or less, 6 to 10 miles, 11 to 50 miles, 51 to 100 miles, 101 to 500 miles, or over 500 miles. The bar chart below shows the percent of students at public and private 4-year colleges who chose each option.
Answers
Answer:
Students who attend a private college are more likely to travel a farther distance to attend college.
Step-by-step explanation:
A cylinder has a base radius of 3m and a height of 17m. What is its volume in cubic m, to the nearest tenths place?
Answers
Answer:
V= 480.7 m cubed
The volume of the cylinder nearest to tenths place is 480 m^3.
What is cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.
For the given situation,
The formula for volume of the cylinder is [tex]V=\pi r^{2} h[/tex]
Radius of the cylinder,r = 3 m
Height of the cylinder, h = 17 m
The value of π = 3.14
On substituting the above values,
[tex]V=(3.14) (3^{2})(17)[/tex]
⇒ [tex]V=480.42[/tex] ≈ 480
Hence we can conclude that the volume of the cylinder is 480 m^3.
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Rick wants to use multiplication to solve {k} = 7 \div \dfrac13k=7÷ 3 1 k, equals, 7, divided by, start fraction, 1, divided by, 3, end fraction. Which multiplication equation can Rick use? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac13\times{k} =7 3 1 ×k=7start fraction, 1, divided by, 3, end fraction, times, k, equals, 7 (Choice B) B \dfrac13={k}\times7 3 1 =k×7start fraction, 1, divided by, 3, end fraction, equals, k, times, 7 (Choice C) C \dfrac13\times7 = {k} 3 1 ×7=kstart fraction, 1, divided by, 3, end fraction, times, 7, equals, k
Answers
Answer: (a)
Step-by-step explanation:
Given
Equation is
[tex]k=\dfrac{7}{\frac{1}{3}}[/tex]
Write the cross-multiplication of the given equation i.e.
[tex]\Rightarrow \dfrac{1}{3}\times k=7[/tex]
This corresponds to the option (a).
Answer:
C
Step-by-step explanation:
ITS C BECAUSE I WASTED A MISTAKE BC OF THE OTHER GUY ON TOP
DONT USE HIS
JUST USE MINE
DONT NEED AN EXPLANATION NOOOOB
HELPPPPPPPP Write the standard form of an equation
Answers
Answer:
See the Answer Below:) I am certain this is the answer
Step-by-step explanation:
8 POINTS I don’t understand this can anyone help?? If you answer all my other questions on BrainlyI will give you 30 points:)
Answers
Answer:
I remember my teacher saying that when you get the answer you have to * when you get the answer
Can you please help me out????
Answers
Answer: B.) 19.6 feet.
Draw a right triangle ABC. AB will represent the ladder, with point A being on the ground and point B being against the building.
Label: AC=6 ft, m<A=73° and <C is a right angle.
Use the trig mnemonic "SOHCAHTOA" to identify that BC/AC=tan<A. So BC, which is the height the ladder reaches, equals AC*tan<A=6*tan(73)=19.6 feet.
Step-by-step explanation:
I'M A GOOFY ______ !!!!!
A. Kid
B.Guy
C.Dude
D.Goober
Answers
Answer:
D
Step-by-step explanation:
SPONGEBOB!!
Find the distance between the points (4,3) and (1,0).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Answers
Answer:
[tex]distance = \sqrt{(x_{1} -x_{2})^2+(y_{1} -y_{2})^2 }[/tex]
[tex]=\sqrt{(1-4)^2+(0-3)^2 } \\=\sqrt{3^2 + 3^2}\\=\sqrt{18}\\=3\sqrt{2}[/tex]
Answer:
3√2
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(0 - 3)² + (1 - 4)²
√(-3)² + (-3)²
√(9) + (9)
√18
3√2
Find the distance from the point (0,0) to the line y = x – 6. Round your answer to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
Hi
6 units
step-by-step explanation:
using desmos
the y-intercept is vertical, and the x-intercept is horizontal
it touches the y-intercept at -6
distance cannot be negative
ello i need help -^-
Answers
Answer:
d =90 e=52 f=52
Step-by-step explanation:
The angle that are crosppsinding have equal angle.
like f=e.
HELP ME WITH THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The answer is 5
hope it helps
Answer:
n = 5 units
Step-by-step explanation:
We can solve this using 2 different equations which lead to the same answer:
Equation #1: Sin(30) = n/10
=>Sin(30) * 10 = n
=> 5 = n
Equation #2: Cos(60) = n/10
=> Cos(60) * 10 = n
=> 5 = n
If a number is a whole number, it is in it's simplest radical form, therefore; n = 5 units is the correct answer
Hope this helps!
Match each graph to the corresponding linear equation. help plzzzz i hate math
Answers
ANSWER:
GRAPH A: Equation 4
GRAPH B: Equation 3
GRAPH C: Equation 2
GRAPH D: Equation 1
Find the area of the trapezoid shown below
Answers
Answer:
A=a+b
2h
Step-by-step explanation:
Stella rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the probability that she will roll a number less than or equal to 5? \text{impossible}impossible \text{certain}certain \text{unlikely}unlikely \text{likely}likely
Answers
The probability of getting a number less than or equal to 5 is 5/6.
What is probability?"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".
For the given situation,
Stella rolls a standard six-sided die, numbered from 1 to 6.
The sample space for rolling a single die = {1, 2, 3, 4, 5, 6}
⇒[tex]n(s)=6[/tex]
The event is getting a number less than or equal to 5.
E = { [tex]{1, 2, 3, 4, 5}[/tex] }
⇒[tex]n(e)=5[/tex]
Thus the probability of getting a number less than or equal to 5,
[tex]P(e) =\frac{n(e)}{n(s)}[/tex]
⇒[tex]P(e)=\frac{5}{6}[/tex]
Hence we can conclude that the probability of getting a number less than or equal to 5 is 5/6.
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Given b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C. What is the area of the triangle? Round to the nearest hundredth.
Answers
Answer:
1.73 units
Step-by-step explanation:
The area of a triangle with sides a, b, c and angles A, B, C is given as
Area = 1/2 bc sin A
Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area
= 1/2 * 4 * 1 * sin 120
= 2 sin 120
= 2 * √3/2
= √3
= 1.732
To the nearest hundredth = 1.73
Jill needs 3 tonnes of salt. If a packet of salt weighs 600 g how many packets does she need?
Answers
Answer:
Solution given:
1 packet=600g
we have
1 tone =1000000g
3tone=3000000g
we have
no of packet's=[tex] \frac{total weight }{1 packet weight } [/tex]
=[tex] \frac{3000000}{600} [/tex]
=5000
packets she needs is 5000.
dillon pays x dollars to get a haircut. he gives the stylist a 15% tip. the expression representing his total cost is x + 0.15x
Answers
Answer:
B) 1.15x, adding 15% to the cost of haircut is same as to multiply cost by 1.15
Step-by-step explanation:
Given expression = x + 15% of x
x + (15/100) x = x + 0.15x
= (1+ 0.15) x = 1.15x
15% = 0.15 , added to x = 1.15x
Which equivalent expression can be used to solve the quotient 2/3 divided by 4/5
Answers
Answer:
5/6
Step-by-step explanation:
Divide it
The equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.
What is division?Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.
The equivalent expression that can be used to solve the quotient 2/3 divided by 4/5 is;
[tex]= \dfrac{\dfrac{2}{3}}{\dfrac{4}{5}}\\\\=\dfrac{2}{3} \times \dfrac{5}{4}\\\\=\dfrac{1}{3} \times \dfrac{5}{2}\\\\=\dfrac{5}{6}[/tex]
Hence, the equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.
Learn more about division here;
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Find the area of the circle.
Use 3.14 for it.
(
d = 8 cm
A = [?] cm2
A=Tr2
Answers
Use cosine law to find the value of x. Show working. use ^ for power and sqrt for square root
Answers
Answer:
x ≈ 11.89
Step-by-step explanation:
Using the cosine rule
x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )
= 16 + 81 - 72cos128°
= 97 - (- 44.33 )
= 141.33 ( take the square root of both sides )
x = [tex]\sqrt{141.33}[/tex] ≈ 11.89 ( to 2 dec. places )
PLS HELP ME WITH THIS QUESTION!!
Answers
Answer:
a
Step-by-step explanation: