Answer:
x=14
PN=MN=85
Step-by-step explanation:
It is an isosceles triangle because PQ=MQ and QN is perpendicular to PM. PN=MN
8x-27=6x+1
2x=28
x=14
PN=MN=85
Answer:
[tex] \huge \: x = 14 \:and\: \small\\ the\: length\: of\: the\: segment\: is \:85[/tex]Step-by-step explanation:
to understand thisyou need to know about:triangles congruencyequationPEMDAStips and formulas:when two triangles are congruent the included angles and sides of the triangles are equalPN=MNlet's solve:[tex]step - 1 : define[/tex][tex]8 x- 27 = 6x + 1[/tex]
[tex]step - 2 : solve[/tex][tex]add \: 27 \: to \: both \: sides \\ 8x - 27 + 27 = 6x + 1 + 27 \\ 8x = 6x + 28[/tex][tex]cancel \: 6x \: from \: both \: sides \\ 8x - 6x = 6x - 6x + 28 \\ 8x = 28[/tex][tex]divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{28}{2} \\ x = 14[/tex]the length of the segment is8x-27
8.14-27
85
someone please help me
Answer:
104 I think
Step-by-step explanation:
8 x 14 divided by 2 is 56 so 6 x 8 = 48 and 48 + 56 = 104
Answer:
The volume of this triangular prism is equal to 336 [tex]feet^{3}[/tex]
Step-by-step explanation:
In order to solve this question, we need to know that the volume of a triangular prisim is equal to the area of the triangular base time the distance between the two triangular bases. And so we get...
[tex]V = (\frac{bh}{2})(d) = (\frac{(8)(14)}{2})(6) = (56)(6) = 336[/tex]
Therefore the area of this triangular prism is equal to 336 [tex]feet^{3}[/tex]
please help im timed
how would you solve 17=w/4?
Answer:
Solution for 17=w-4 equation:
17=w-4
We simplify the equation to the form, which is simple to understand
17=w-4
We move all terms containing w to the left and all other terms to the right.
-1w=-4-17
We simplify the left and right sides of the equation.
-1w=-21
We divide both sides of the equation by -01 to get w.
w=21
Step-by-step explanation:
Answer:
68
Step-by-step explanation:
17/1 = w/4
w.1=17.4
w= 68
Mr. Smith wants to order some pizza and cheese pizza cost $11 and pepperoni pizza cost $12.50 if you bought 13 pieces total and paid $153.50 how many pepperoni pizza did he buy
Answer: Mr Smith bought 7 pepperoni pizza
Step-by-step explanation:
Step 1
cost of cheese pizza =$11
pepperoni pizza cost =$12.50
let number cheese pizza be represented as c
and number of pepperoni pizza be represented as p
such that the total number of pizza bought which equals 13 can be represented as
c+ p= 13
and total cost of both pizza can be expressed as
11c+ 12.50p =153.50
Step 2 Solving
c+ p= 13
11c+ 12.50p =153.50
By elimination method, Multiply equation 1 by 11 and subtract the new equation from equation 2
11c+ 12.50p =153.50
11c+ 11p=143.
1.5p =10.5
p= 10.5/ 1.5 =7
c+ p= 13
c= 13-p =13-7=6
Therefore Mr Smith bought 6 cheese pizza and 7 pepperoni pizza
At one time the aircraft is 150 m above the surface, the submarine is 25 m below the surface, and the underwater robotic vehicle is 186 m below the surface. What is the difference in height between the submarine and the aircraft
Answer:
[tex]175[/tex] meter is difference in height between the submarine and the aircraft
Step-by-step explanation:
The height of aircraft above the surface [tex]= 150[/tex] meter
Depth at which the submarine lies below the surface [tex]= 25[/tex] meter
Depth at which the underwater robotic vehicle below the surface [tex]= 186[/tex] meter
Difference in height between the submarine and aircraft is equal to
[tex]25 +150 = 175[/tex] meter
PLEASE HELP I HAVT A 25 IN MATH
A college student shovels driveways to cover his weekly expenses. The student charges $7 for each hour he spend shoveling driveways
Which 2 unknown quantities in this situation are related?
A. The number of hours the student spends shoveling driveways
B. The number of driveways the student shovels
C. The amount of money the student earns
D. The number of college students shoveling driveways
Answer:
B and D.
Step-by-step explanation:
Hope this helps! :D
HELP PLEASE IS IT A OR B
Answer:
its b as the variables have no values
9 to the second power multiply by 3 to the 6 power =3 to the ? power
Answer:
Step-by-step explanation:
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{m+n}[/tex]
[tex](a^{m})^{n}[/tex] = [tex]a^{mn}[/tex]
~~~~~~~~~~~~~
[tex]9^{2}[/tex] × [tex]3^{6}[/tex] = (3²)² × [tex]3^{6}[/tex] = [tex]3^{2*2+6}[/tex] = [tex]3^{10}[/tex]
2.
The zoo is open for 9 hours on weekdays. On weekends, the zoo is open for r
more hours. Write the expression for the number of hours the zoo opens on
weekends.
Answer:
36-k
Step-by-step explanation:
What is the measure of N
Answer:
No picture sorry
BRAINLIEST! Pls help...
Answer:
Option A
Step-by-step explanation:
Any number that can be written in the form of a fraction [tex](\frac{p}{q})[/tex] will be a rational number.
From the given options,
Option (A)
Given expression [tex]\sqrt{\frac{x^2+2x-5}{2x^2-3x+4}}[/tex] can't be written in the form of a fraction [tex](\frac{p}{q})[/tex] (Without square root).
Therefore, given function is not a rational function.
Rest all options represent a rational function.
Option A will be the answer.
What is the measurement of this angle?
Mr. Hudkins wants his 6th grade math class to memorize their multiplication facts. He decides to increase the number of facts they are expected to memorize each week and creates the following table.
Usingw = number of weeks and m = number of multiplication facts, which of the following equations is represented by the table Mr. Hudkins created?
A
m = 30 × 2w
B
m = 15 + w
C
w = 15m
D
m = 15w
Answer: m = 15w
Step-by-step explanation: The reason why the answer is m = 15w is because since he said "He decides to increase the number of facts they are expected to memorize each week." Which makes it so that only the multiplication fact increased to 15 since they wouldn't put it lower then that. And there is a 2nd reason why the multiplication fact is 15. the reason why is because theres only one answer with 30 and its completely wrong. So therefore,, The answer is Multiplication Fact = 15weeks.
Answer:
m = 15w
Step-by-step explanation:
1. In 1980, approximately 6 million women enrolled in college in the United States. The number of women who enroll in college has increased at a rate of 0.14 million women per year. There were about 5.4 million men enrolled in college in 1980, and that number has increased at a rate of 0.08 million men per year. In what year (prior to 1980) were an equal number of men and women enrolled in college?
Answer:
Step-by-step explanation:
First, you can plot this using a table. One side can be 'Women' and the other 'Men'. One the vertical side of it, write '1980', '1981', '1982', etc., for maybe fifteen years to be on the safe side. Then, your starting value is 6 million and 5.4 million, respectively.
Finally, start adding up, It will be, 6.14 million, 6.28 million, etc., and 5.4 million, 5.48 million, etc.
Once you're done, you can circle the year both were the same, and you can even plot this on a graph
Answer:
What he said above me and he is correct
Step-by-step explanation:
Solve the formula 5x + y = 18 for y.
Answer:
y=18-5x
Step-by-step explanation:
A new homeowner needs to determine the length of his rectangular backyard before he goes to the store for
fencing. He knows that the area of the yard is 51 square meters and that the width is 5.2 meters longer
than the length. Which equation could be solved to determine the dimensions of the backyard, where the length
is / and the width is w?
0=w2+5.2w -51
o
0=12+5.21-51
4w + 10.4 = 51
о
41 +10.4 = 51
Answer:
The equation used to solved to determine the dimensions of the backyard is 51 = 4w - 10.4
Step-by-step explanation:
As given,
The backward is rectangular in shape
Also , we know that
Area of rectangle = 2 ( Length + Breadth )
Also, given,
Breadth of the backyard = 5.2 + Length of the backyard
Let
length of the backyard = l
Breadth of the backyard = w
∴ we get
w = 5.2 + l
⇒l = w - 5.2
and
Area = 2 ( l + w)
⇒51 = 2( w - 5.2 + w)
⇒51 = 2 ( 2w - 5.2)
⇒51 = 4w - 10.4
So, the equation used to solved to determine the dimensions of the backyard is 51 = 4w - 10.4
By solving we get
4w = 51 + 10.4
⇒4w = 61.4
⇒w = [tex]\frac{61.4}{4}[/tex] = 15.35
⇒ w = 15.35
⇒ l = w - 5.2 = 15.35 - 5.2 = 10.15
⇒l = 10.15
So the dimensions of the backyard = l × b = 10.15 m × 15.35 m
R=d/t if you are solving for d
Answer:
If you were solving for d it would be
Step-by-step explanation:
D=t*r
Enter the number that belongs in the green box.
x = 90°
that's the answer
Answer:
90
Explanation
vertical angles and right angles in a quadrilateral
Can a chord be a diameter?
Answer:
yes
Step-by-step explanation:
ΔABC ~ ΔEFD
Step-by-step explanation:
A diameter satisfies the definition of a chord, however, a chord is not necessarily a diameter. This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord, but not every chord is a diameter.Hope this is fine for you8.12
Given the diagram below, what is cos(45") ?
450
Triangle not drawn to scale
A. 2-3
B. 4/2
C.
D. JE
The value of cos 45° in the given triangle is 1/√2, Option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In the given right triangle the hypotenuse is 8√2
In the given triangle the two legs are equal.
Let x be the length of the two legs
By Pythagoras theorem, let us find the length of a leg.
x²+x²=(8√2)²
2x²=64(2)
2x²=128
Divide both sides by 2
x²=64
Take square root on both sides
x=8
Now let us find the cosine function, the ratio of adjacent side and hypotenuse
cos45 = 8/8√2
=1/√2
Hence, the value of cos 45° in the given triangle is 1/√2, Option C is correct.
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Jeremiah missed 68 questions on his multiple choice history final and earned a grade of 66%. How many total questions were on the final exam?
Answer:
200 questions
Step-by-step explanation:
If he missed 68 questions and got a 66%, that means 68 is 34% of the total number of questions
To find the total questions, divide 68 by 0.34
68/0.34
= 200
So, there were 200 total questions on the final exam
What is the value of x?
40
550
A. 1059
B. 75°
C. 850
D. 95°
Answer:
the answer is 85° because all angles in a triangle add up to 180
so u add them both up, subtract from 180 n u get 85
Answer:
C because a triangle angles must add up to 180
(3x - 16)
(lly-32)
(6x + 7)
Answer:
ummm What is the quastion ?
Janie ordered boxed lunches for a student advisory committee meeting. Each lunch costs $4. The total cost of the lunches is $47, including a $7 delivery fee. Write and solve an equation to find x, the number of boxed lunches Janie ordered.
Answer:
10 lunches
Step-by-step explanation:
$47-$7=$40
40/4=10
Hello, 928747!
So we are trying to find how many boxed lunches Janie ordered.
Each box is $4.00 and the total cost is $47.00 + delivery fee of $7.00
So to find this, we will first subtract the delivery fee because that does not count towards the lunches.
47 - 7 = 40
So the boxed lunches cost $40.00
To find how many Janie ordered, we will divide 4 by 40
40 ÷ 4 = 10
So Janie bought 10 boxed lunches.
The equation would be (47 - 7) ÷ 4
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35% of 15% of x is equivalent to which of the following?
A. 0.0525x
B. 0.125x
C. 0.25x
D. 0.525x
E. 5.25x
Answer:
a
Step-by-step explanation:
.35x.15=0.0525
10(-9 +(-16)) =
??????
Answer:
-250
Step-by-step explanation:
10(-9-16)
10(-25)
-250
Answer:
10(-9-16)=10(-25)
=10-25
=-15
please help me with this problem
Answer:
6.75
Step-by-step explanation:
We are given that function
[tex]f(x)=\frac{9x-18}{4}[/tex]
5 is an element in the domain of f(x)
i.e
x=5
We have to find the corresponding element of 5 in the range of f(x).
Substitute x=5 in the given function
[tex]f(5)=\frac{9\times 5-18}{4}[/tex]
[tex]f(5)=6.75[/tex]
Hence, the corresponding element of 5 is 6.75 in the range.
Courtney has $4.85 in nickels, quarters, and dimes. She has12 quarters and 7 nickels. How many more dimes than nickels does she have?
A. 8
B. 12
C. 15
D. 30
Answer:
8 dimes
Step-by-step explanation:
A quarter is $0.25, so 0.25 should be multiplied by the number of quarters she has:
0.25 * 12 = 3.00
A nickel is $0.05, so 0.05 should be multiplied by the number of nickels she has:
0.05 * 7 = 0.35
If we add this together, we get 3.35, and the rest of the money Courtney has is in dimes. First, find the amount of money left:
4.85 - 3.35 = 1.50
A dime is $0.10, so divide the amount of money left by 0.10 to find the number of dimes Courtney has:
1.50 ÷ 0.10 = 15
Subtract 15 by the number of nickels Courtney has to find how many more dimes she has than nickels:
15 - 7 = 8 dimes
Ranbir bought a rectangular field of area 24000 square metres and width 120 m. He wants to fence it with two rounds of wire. Find the length of wire that will be required to fence the field.
Answer:
640 metres
Step-by-step explanation:
Area of a rectangular field = 24000 square metres
Width of a rectangular field = 120 metre
Also,
Area of a rectangular field = Length × Breadth
24000 = Length × 120
Length = [tex]\frac{24000}{120}=200[/tex] metre
Length of wire required to fence the field = Perimeter of the rectangular field
= 2 (length + width)
= 2 (200 + 120)
= 2 (320)
= 640 metres
A man is 32 years older than his daughter and the product of their ages is 320..
(a) Find the ages of the man and the daughter.
(b) In how many years' time will the daughter's age be one- third of her father's age?
Pls help me
The age of the man is 40 years and that of his daughter is 8 years respectively.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
Suppose the age of man be x.
Then, age of his daughter is x - 32.
As per the question the following equation can be formed for the product of ages as ,
x(x - 32) = 320
⇒ x² - 32x - 320 = 0
⇒ x = 40, -8
Since, age of a person cannot be a negative value, it is taken as positive.
Thus, the age of daughter is 40 - 32 = 8
Hence, the age of the man and his daughter is obtained as 40 and 8 years respectively.
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an algebric expression that is true for all types of variable is called
Answer:
An equation that is satisfied for every value of the variable for which both sides of the equation are defined is called an identity. Conditional equations are true for some values of the variable and false for others. Contradictions are false for all values of the variable.
Step-by-step explanation: