Answers
==========================================================
Explanation:
See the diagram below. I've extended one of the rays to form a full line. This is shown in red. The alternate interior angles 60 and x are congruent due to the parallel lines, so x = 60.
We can then find angle y
x+y+20 = 180 ... angles of a triangle add to 180
60+y+20 = 180
y+80 = 180
y = 180-80
y = 100
Use this to find z
y+z = 180
100+z = 180
z = 180-100
z = 80
Or you could use the remote interior angle theorem
x+20 = z
60+20 = z
80 = z
z = 80
Related Questions
The volume of a box is 0.001 cubic units. If the box is a cube, what is the length of one of its edges?
Answers
===============================================
Work Shown:
0.001 = 1/1000
Apply the cube root to both parts of 1/1000 to get
[tex]\sqrt[3]{1} = 1\\\\\sqrt[3]{1000} = 10[/tex]
So this means that, [tex]\left(\frac{1}{10}\right)^3 = \frac{1}{10}*\frac{1}{10}*\frac{1}{10} = \frac{1}{1000} = 0.001[/tex]
Having a side length of 1/10 = 0.1 unit leads to a volume of 0.001 cubic units.
-------------
A shortcut alternative is to use your calculator to get
[tex](0.001)^{1/3} = 0.1[/tex]
The exponent of 1/3 is the same as a cube root.
Lm (51 + m) + 21² (m - 3) + 6L (m² +L)
Answers
Answer:
Step-by-step explanation:
Given :
l + m + n = 9
l²+ m² + n²= 31
l + m + n = 9
On squaring both sides
(l + m + n)²= 9²
(l²+m²+n²+2(lm+mn+nl) = 81
31 +2(lm+mn+nl) = 81
2(lm+mn+nl) = 81 - 31
2(lm+mn+nl) = 50
(lm+mn+nl) = 50/2
(lm+mn+nl) = 25
Hence, the value of (lm+mn+nl) = 25
Answer:
YOU GOT GOOGLE
Step-by-step explanation:
GOOGLE!!
What is the value of
3
2.
Answers
Answer:
1
Step-by-step explanation:
2/3 times the power of 0 is 1. Anything to the power of zero equals 1. then you do 1 to the power of -3. which is one .
HELP ME PLEASE !!!!!!!! PLEASE
Answers
TREE:
white--ham---american
---swiss
---cheddar
white--turkey---american
---swiss
---cheddar
white--beef---american
---swiss
---cheddar
wheat--ham---american
---swiss
---cheddar
wheat--turkey---american
---swiss
---cheddar
wheat--beef---american
---swiss
---cheddar
PROBABILITY OF RANDOM SELECTION OF WHITE BREAD, BEEF/TURKEY, & CHEDDAR:
6/26, reduced to 3/13
Please Help!! :)
Write the contrapositive of the given conditional statement.
Conditional Statement: "If a shape has four sides, then the shape is a rectangle."
Answers
Answer:
"If the shape is not a rectangle, then the shape doesn't has four sides."
Step-by-step explanation:
Given conditional statement is,
" Is a shape has four sides, then the shape is a rectangle."
Here we have two statements:
Statement p → A shape has four sides
Statement q → The shape is a rectangle.
Contrapositive of the statement will be:
If [tex]\sim q[/tex] then [tex]\sim p[/tex].
Therefore, contrapositive will be,
"If the shape is not a rectangle, then the shape doesn't has four sides."
What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5?
Answers
Someone help please
Answers
HELP! ILL GIVE BRAINLIEST
Answers
Answer:
what do you need help for?
Step-by-step explanation:
10 – 2v = -5v – 50 .
ANSWER ASAP
Show answer step by step on paper
Answers
Answer:
- 20
Step-by-step explanation:
Step 1:
10 - 2v = - 5v - 50 Equation
Step 2:
10 + 3v = - 50 Add 5v on boh sides
Step 3:
3v = - 60 Subtract 10 on both sides
Step 4:
- 60 ÷ 3 Divide
Answer:
v = - 20
Hope This Helps :)
Which equation can be used to prove 1 + tan2(x) = sec2(x)?
Answers
Answer:
fourth option
Step-by-step explanation:
Using the trigonometric identity
cos²x + sin²x = 1
Divide all terms by cos²x
[tex]\frac{cos^2x}{cos^2x}[/tex] + [tex]\frac{sin^2x}{cos^2x}[/tex] = [tex]\frac{1}{cos^2x}[/tex] which gives
1 + tan²x = sec²x
Answer:
DD
Step-by-step explanation:
What is the GCF of x2 and x9?
Answers
Answer:
x²
Step-by-step explanation:
Given the values x² and x^9
The greatest common factor is the factors common to two or more compared values :
Factors of :
x² = x * x
x^9 = x * x * x * x * x * x * x * x * x
Multiplying the Factors in both are : x * x = x²
Similarly :
___|x² | x^9
_ x | x | x^8
_ x | 1 | x^7
There is no factor which can reduce both further simultaneously, Hence the G. C. F = (x * x) = x²
can someone solve 2x+5=x-1
Answers
Answer:
x = -6
Step-by-step explanation:
Answer: x=-6
Step-by-step explanation:
Given
2x+5=x-1
Subtract 5 on both sides
2x+5-5=x-1-5
2x=x-6
Subtract x on both sides
2x-x=x-6-x
x=-6
the answer to(-5)+4 and explain the steps
Answers
The parabola has focus (0, 6) and vertex at the origin
Answers
Find the slope of the line passing through the points (-2, 5) and (-6, 7).
Answers
you would number the x and y values of the coordinates.
( -2 , 5 ) ( -6 , 7 )
x1. y1. x2. y2
then do the formula that gives you the slope y2 - y1 / x2 - x1
this gives you:
7 - 5 / -6 - (-2) = 2/ -4 (simplify) -1/2
so this would give you m= -1/2
Tucker earned $12.50 walking dogs on Saturday. On Sunday, he spent $6.95 when he purchased a movie ticket. He needed to borrow money from a friend to complete his purchase of a snack. How much money did Tucker pay for the snack if he owes his friend $5?
Answers
1.Subtract 12.50 from 6.95
2. 5.55
3.Be owns 5 dollars so you add 5.55+5
4.10.55
the price of a notebook has risen to $3.40 yesterday price was $3.15 find the percent increase round ur answer to the beset tenth of a percent
Answers
Answer:
7.9%
Step-by-step explanation:
The formula is P=x time 100, divided by y
the x is $0.25
the y is $3.15
0.25x100=25
25/3.15=7.936
rounded to the tenths place it's 7.9
The sum of two numbers is 68. The second number is 2 more than twice
the first.
Answers
Answer:
22 and 46
Step-by-step explanation:
let
one number is x
another is 2x+2
now 2x+2+x=68
or, 3x+2=68
3x=66
or x=66/3=22
so one number is 22 and another is (22X2+2)=46
the sum of 2n and 5 is equal to n
Answers
Answer:
n=-5
Step-by-step explanation:
Isolate the variable
What is the sum of -2 and -7?
Answers
-9
Sum of means addition
Is the following number rational or irrational?
(square root of 50)
Answers
Answer:
irrational
Step-by-step explanation:
[tex]\sqrt{50}\\\\=\sqrt{25*2}\\\\=\sqrt{5^{2}*2 } \\\\=5\sqrt{2}[/tex]
so it's irrational
Irrational because its not an even number. If you try to do it you should get around 7.05
PROBLEM 2 The height of a golf ball in feet can be determined using the formula h(t) = -16t2 + 100x , where t is the number of seconds after the golf ball is hit. What is the height of the golf after 2.5 seconds? F 156 ft. G 84 ft. H 150 ft. J 136 ft.
Answers
Answer:
H. 150 ftStep-by-step explanation:
Given the height of a golf ball in feet modelled by the formula h(t) = -16t² + 100x where t is in seconds, we are to find the height of the golf after 2.5 seconds. To do that we will simply substitute t = 2.5secs into the formula given;
[tex]h(t) = -16t^2 + 100x\\\\h(2.5) = -16(2.5)^2 + 100(2.5)\\\\h(2.5) = -16(6.25) + 250\\\\h(2.5) = -100+250\\\\h(2.5) = 150\\\\[/tex]
Hence the height of the golf after 2.5 seconds is 150ft.
You are filling bags with cookies to give your friends. You have 18 chocolate chip cookies and 24 peanut butter cookies. You want identical groups of cookies in each bag with no cookies left over. What is the greatest number of bags you can fill? (Please fill in the blank: Each bag will have _____ cookies.)
Answers
Answer:
This means we need 3 chocolate chips and 4 peanut butter in each bag for a total of 7 cookies in each bag
Step-by-step explanation:
Find the prime factors of each number
Chocolate chips 18 = 3*6 = 3 * 2*3
Peanut butter 24 = 4*6 = 2*2*2*3
We want to fill the greatest number of bags so cancel the like factors
Chocolate chips 18 = 3*6 = 3
Peanut butter 24 = 4*6 = 2*2 =4
This means we need 3 chocolate chips and 4 peanut butter in each bag for a total of 7 cookies in each bag
amirah can type 720 words in 16 minutes,lixin can type 828 words in 18 minutes and shirley can type 798 words in 19 minutes , who is the fastest typist ?
Answers
Answer:
Lixin is the fastest typist
Step-by-step explanation:
Amirah = 45
Lixin = 46
Shirley = 42
We divide the words by minutes which is basically Unit rate
So we take each person and divide by their words and minutes
[tex]\frac{words}{minutes}[/tex]
ALWAYS when ur finding unit rate divide the buggest number by the smallest!
Choose the multiples of 2.
A) 2, 3, 4, 5
B) 12, 14, 16, 18
C) 21, 22, 23, 24
D) 30, 35, 40, 45
Answers
2x6= 12
2x7= 14
2x8= 16
2x8= 18
Select the correct answer.
Which utility applies to a company that educates customers about its products' features?
O A form utility
B. knowledge utility
OC possession utility
OD place utility
OE price utility
Answers
test question
-5x + 4 - 7 = -18
Answers
Answer:
x=3
Step-by-step explanation:
You work for an electric utility company that charges 12 cents per kilowatt-hour plus a base charge of $7.95. If a customer used 876 kilowatt-hours this month, how much should they be charged, in dollars?
$1.13
$105.12
$113.07
$10,512.00
$10,519.95
Answers
Answer:
2222
Step-by-step explanation:
Answer:
$113.07
Step-by-step explanation:
0.12*876=105.12
105.12+7.95=113.07
calling all mathemeticians
Answers
Use inductive reasoning to determine the next two terms in the sequence 7, 16, 34, 70
Answers
Answer: 142 and 286
==========================================
Explanation:
If we multiply a given term by 2, then add 2, we get
7*2+2 = 14+2 = 16
16*2+2 = 32+2 = 34
34*2+2 = 68+2 = 70
So the rule seems to be "multiply by 2, then add 2"
If that rule holds up, then the next two terms are
70*2+2 = 140+2 = 142
142*2+2 = 284+2 = 286
