the diagram below shows the angles formed by some intersecting lines. give that m<8=34, m<9=40, and mm<3=62, find the measure of <4.
Answers
Answer:
m<4 = 44°
Step-by-step explanation:
m<8 = 34°
m<9 = 40°
m<3 = 62°
m<2 = 34° + 40° (exterior angle theorem of a triangle)
m<2 = 74°
m<3 + m<4 + m<2 = 180° (sum of ∆)
62° + m<4 + 74° = 180° (substitution)
m<4 + 136° = 180°
m<4 = 180 - 136 (substitution property of equality)
m<4 = 44°
Related Questions
Suppose log5=b , then what is the exact value of log5^4?
Answers
Answer:
4b
Step-by-step explanation:
log(5) = b actually means that
[tex]10^b = 5[/tex]
The power of 10 is b.
So log(5⁴) means that
[tex](10^b)^4 = 5^4[/tex]
so the power of 10 is 4b.
If f(x)=2x and g(x)=x−3, then find f(x)·g(x).
Question 19 options:
2x2−6x
2x2−6
2x2−3
3x−3
Answers
Answer:
2x^2 - 6x
Step-by-step explanation:
2x(x-3)
= 2x^2 - 6x
Use laws of logical equivalence (not truth tables) to prove that the following sentences
are logically equivalent.
(A & ~B) V (A & ~C)
~~A &~ (B & C)
Answers
Answer:
See below
Step-by-step explanation:
Refer to the attachment.
Given:
(A ∧∼B) ∨ (A ∧ ∼C)
Solving steps:
≡A∧(∼B∨∼C). . . . . Distributive Law
≡A∧∼(B∧C). . . . . . De Morgan's Law
≡∼(∼A)∧∼(B∧C). . . . . . Double Negation Law
Hence,
(A ∧∼B) ∨ (A ∧ ∼C)≡∼(∼A)∧∼(B∧C) [Proven]
is 45/9 a interger or a other type of number?
Answers
Answer:
it is an integer.
Step-by-step explanation:
Answer:
Interger because it's a whole number and whole numbers are intergers. Hope this helps pls give brainliest
Step-by-step explanation:
u= a-k-b solve for a
Answers
Answer:
a = b + k + u
Step-by-step explanation:
hope this helps
The ratio 4/7 : 8/21 has a unit rate of 3/2. True or false?
Answers
The statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.' is True.
In this question, we have been given a statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.'
We need to check whether the statement is True or False.
We have been given the ratio of two fractions.
4/7 : 8/21
We know that for any non zero real numbers a, b, c, d,
a/b : c/d = a/b × d/c
So, we can write given ratio as,
4/7 : 8/21
= 4/7 × 21/8
= 3/2
In the given statement, it is mentioned that, the ratio 4/7 : 8/21 has a unit rate of 3/2.
This means, the given statement is correct.
Therefore, the statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.' is True.
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Books are on sale for $7. Peter has $30 dollars in his wallet. How many books can he buy?( interpret the remainder)
Answers
Answer:
He can buy 4 books with 2 dollars remaining
Step-by-step explanation:
30/7 = 4 R2
Answer: 4 books.
Explanation: First you divide $30 by 7, and you get 4 and 2/7 (2/7 as the remainder) left over. So you can't have 4 and 2/7 books, it has to be a whole number.
Therefore, he can buy 4 books. I hope this helped!
The elevator in a new building traveos a maximum distance of 32 meters. Find the eatimated distance traveled with yards
Answers
The estimated distance which is the yard measurement equivalent of the maximum distance 32 meters travelled is; 35.008 yards.
What is the yard measure equivalent of the 32 meters distance travelled by the elevator?It follows from the task content that the maximum distance given,; 32 meters be expressed in terms of its yard measure equivalent.
On this note, since 1 meter is equivalent to; 1.094 yards. It follows from proportion that 32 meters is equivalent to;
= 32 × 1.094 yards
= 32.008 yards.
Ultimately, the estimated distance which is the yard measurement equivalent of the maximum distance 32 meters travelled is; 32.008 yards.
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What does the variable represent in your equation?
Answers
Answer:
A variable is a quantity that may change within the context of a mathematical problem or experiment.
find the slope and y-intercept for a line passing through the following two points,then create a slope intercept equation (-2,2) and (-5,-4)
Answers
Answer:
Slope: 2
y intercept: 6
Equation: y = 2x+6
During the women's basketball championship game, team A scored 2 more points than team B. Together, both teams scored a total of 148 points. How many points did the Champion team A score during this game?
Answers
team A scored 75 points
Use the equation of the line to predict how many worm
Alex needs to feed Edbird in order for him to go the enti
day without correcting her. Input your answer to the
nearest whole worm. Then click done.
Plz answer ASAP!!!!!!
Answers
Answer:
33
Step-by-step explanation:
I just did it
Answer: 33
Step-by-step explanation: I got it correct on i-Ready.
Sra. Niccoli used 3/4 cups of sugar, 1/2cup of flour and 2 1/4
cup of chocolate chips to make a batch of cookies. How
many cups of ingredients did she use for her cookies?
What is this division or multiplication and what fractions?
Answers
Answer:
3/4+1/4=4/4=1
1+ 1/2=1 1/2 cups
Step-by-step explanation:
Plz help me with this???
Answers
Answer:
2/3+1/5=10/15+3/15=13/15
Step-by-step explanation:
Hope this helps!
A bag contains 5 white marbles, 3 yellow marbles, and 2 black marbles. If you pull out a marble without replacing it, what is the probability of Choosing a white marble and then another white marble
Answers
Answer:
four of nine or a 44.444444444444% chance
Scientists are drilling a hole in the ocean floor to learn more about the Earth's history. Currently, the hole is in the shape of a cylinder whose volume is approximately 3800
cubic feet and whose height is 2.8 miles. Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.)
Answers
[tex]v=\pi r^2h[/tex]
[tex]\\3800ft^3=\pi r^2*(2.8miles), 1mile=5280ft[/tex]
[tex]3800ft^3=\pi r^214784ft\\r^2=3800ft^3/3.14*14784ft\\r^2=3800ft^3/46421.76ft\\r=\sqrt{3800/46421.76} ft\\r=0.286108656ft[/tex]
Xandra’s average is 94.61 which is rounded to 95, the rounded number can be classified as the numbers below except what number? *
1 point
imaginary number
rational number
whole number
natural number
Which number have a subset of zero and natural numbers? *
1 point
imaginary numbers
real numbers
whole numbers
counting numbers
Which is always true from the statements below? *
1 point
Real numbers are rational numbers.
Natural numbers are real numbers.
Irrational numbers are integers.
Decimals are rational number.
*
1 point
Captionless Image
Rey
RM
John
Jeson
What subset of real numbers contains non-repeating, non-terminating decimals? *
1 point
rational numbers
whole numbers
irrational numbers
imaginary numbers
Which values are in ascending order? *
1 point
Captionless Image
D
A
B
C
Which has the smallest value from the choices below? *
1 point
Captionless Image
D
C
B
A
Which can be classified as irrational number? *
Captionless Image
D
C
B
A
What kind of number does have elements ... , −3, −2, −1, 0, 1, 2, 3, ... ? *
1 point
whole numbers
irrational numbers
natural numbers
integers
Which is arranged in descending order? *
1 point
Captionless Image
D
C
B
A
Answers
Answer:
I believe the answer is a imaginary number... I only know the fist one I'm sorry..
Step-by-step explanation:
I think this because a rational number is a number that is real. A Whole number is one without decimals. A natural number is something that is also real. I really hope this is helpful.
Stephen's lunch bill is currently at $843. Stephen orders a fruit salad for take out and wants to leave
$2.25 as a tip for his server. He has a $10 bill and a $5 bill. How much change should he receive after
paying for his lunch, the fruit salad, and the tip?
Answers
Answer:
1.63
Step-by-step explanation:
PLEASE ANSWER PLS
HELPP
Answers
Need help with this will give branliest to the first who answers
Answers
First, find the equation
y = F(x) = x +3
Then plug in 2 for x ( you could also go to 2 on the x-axis to find the Y)
F(2) = (2)+3
F(2) = 5
2x {3x [40 - (I0 x 2)]} = ?
Answers
the answer its 120 hope helps you
If n is a positive integer divisible by 3 and n is less than or = 44, then what is the highest possible value of n?
Answers
Answer:
o dont know
Step-by-step explanation:
2 meters and 20 centimeters = ? millmeters
Answers
2 meters and 20 centimeters =2200 millimeters
millimeters are smaller than centimiters and meters so how is is 40 when 2 meters are 2000 millimeters and 20 centimiters are 200 millimeters
A baker has 134 cup of sprinkles to spread on cupcakes. Each cupcake needs 18 cup of sprinkles. How many cupcakes can the baker sprinkle?
Answers
Answer:
[tex]Cupcakes = 7[/tex]
Step-by-step explanation:
Given
[tex]Total\ Sprinkles = 134[/tex]
[tex]Sprinkle\ per\ cupcake = 18[/tex]
Required
Determine the number of cupcakes
To do this, we simply divide the total cups of sprinkle by the sprinkles per cupcake
[tex]Cupcakes = \frac{Total\ Sprinkles}{Sprinkle\ Per\ Cupcake}[/tex]
This gives:
[tex]Cupcakes = \frac{134}{18}[/tex]
[tex]Cupcakes = 7.44[/tex]
[tex]Cupcakes = 7[/tex] approximated
Hence, 7 cupcakes are needed
Blake was competing in a cooking competition and needed to add 3/4 cup of flour to a recipe. The only measuring cup he could find was 1/8 of a cup. Black would need to fill the measuring cup times
Answers
Supongase que se sabe que en ciertas poblacion el 10%de sus habitantes padece de daltonismo. Si de esta poblacion se extrae una muestra aleatoria al azar de 20 personas.
Answers
The mean variable is 2 if a random sample of 20 people is drawn from this population from which 10% of its inhabitants suffer from colour blindness.
In Spanish:-La variable media es 2 si se extrae una muestra aleatoria de 20 personas de esta población de la que el 10% de sus habitantes sufre daltonismo.
Percentage of blind people or p = 10% or 0.10 (English)
porcentaje de personas ciegas o p = 10% o 0.10 (Spanish)
No. of random samples of people taken or n = 20 (English)
No. de muestras aleatorias de personas tomadas o n = 20 (Spanish)
Now, Mean is given by n(p). so, (English)
Mean = n(p)
= 20(0.10)
= 2Ahora, la media viene dada por n(p). asi que, (Spanish)
la media = n(p)
= 20(0.10)
= 2
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Full and translated question
Suppose it is known that in a certain population 10% of its inhabitants suffer from colour blindness. If a random sample of 20 people is drawn from this population. the mean of the variable isa. 0.475b. 0.5c. 0.25d. 2
Fred spent half of his allowance on a game at Target. Then he earned an extra $20 by mowing his grandparents’ lawn. After he did this, he had $30 left. Write an equation to find what Fred's allowance is.
Use X as a variable
Answers
The equation to find what Fred's allowance is will be 0.5x + 20 = 30
How to compute the equation?Let the variables be x.
From the information, Fred spent half of his allowance on a game at Target. Then he earned an extra $20 by mowing his grandparents’ lawn. After he did this, he had $30 left.
This will be:
(1/2 × x) + 20 = 30
0.5x + 20 = 30
Therefore, the equation to find what Fred's allowance is will be 0.5x + 20 = 30
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Are the given ratios equivalent Explan why or why not 3 : 5 12 : 20
Answers
Is this a function?
Pam is asked to construct a table with each employee's salary in dollars
and individual income tax in dollars as variables.
Answers
Triangle BCD has the following side lengths: BC = 60, CD = 50
Triangle RST has the following side lengths: RS = 11x-4, ST = 70
What is the value of x? (put just the number in the first box)
What is the length of side RS? (put just the number in the second box)
Answers
The value of x is 11 and the length of side RS is 117
How to determine the value of x?The given parameters are
BC = 60 and CD = 50
RS = 11x - 4 and ST = 70
Express as a ratio
BC : CD = RS : ST
So, we have
60 : 50 = 11x - 4 : 70
Express as fraction
So, we have
60/50 = (11x - 4)/70
Cross multiply
So, we have
50 * (11x - 4) = 70 * 60
Divide both sides by 50
So, we have
11x - 4 = 84
This gives
11x = 88
Divide both sides by 11
So, we have
x = 11
Substitute x = 11 in RS = 11x - 4
RS = 11 x 11 - 4
Evaluate the product and the sum
RS = 117
Hence, the value of x is 11 and the length of side RS is 117
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