Answers
Answer/Step-by-step explanation:
Given:
m<2 = 125°
m<12 = 37°
m<18 = 102°
a. m<1 + m<2 = 180° (linear pair)
m<1 + 125° = 180° (substitution)
m<1 = 180° - 125°
m<1 = 55°
b. m<3 = m<18 (alternate exterior angles)
m<3 = 102° (substitution)
c. m<4 + m<3 = 180° (linear pair)
m<4 + 102° = 180° (substitution)
m<4 = 180° - 102°
m<4 = 78°
d. m<5 = m<2 (vertical angles)
m<5 = 125° (substitution)
e. m<6 = m<1 (vertical angles)
m<6 = 55° (substitution)
f. m<7 = m<12 (alternate angles)
m<7 = 37° (substitution)
g. m<8 + m<12 + m<13 = 180° (sum of triangle)
m<12 = 37° (given)
m<13 = m<18 = 102° (vertical angles)
m<8 + 37° + 102° = 180° (substitution)
m<8 + 139° = 180°
m<8 = 180° - 139°
m<8 = 41°
h. m<9 = m<18 (corresponding angles)
m<19 = 102° (substitution)
i. m<10 = m<6 (alternate interior angles)
m<10 = 55°
j. m<11 + m<6 + m<7 = 180° (sum of triangle)
m<11 + 55° + 37° = 180° (substitution)
m<11 + 92° = 180°
m<11 = 180° - 92°
m<11 = 88°
k. m<13 = m<18 (vertical angles)
m<13 = 102°
l. m<14 = m<4 (corresponding angles)
m<14 = 78°
m. m<15 = m<5 (corresponding angles)
m<15 = 125°
n. m<16 = m<6 (corresponding angles)
m<16 = 55°
o. m<17 = m<14 (vertical angles)
m<17 = 78°
Related Questions
Help please ;^;^;^;^;^;^;^;^;^;
Answers
Answer:
10n+10=8n-10
n= -10
I hope this helps
Solve for the indicated variable x/9 - g = a for x
Answers
Answer:
x = 9(a+g)
Step-by-step explanation:
x/9 - g = a
Add g to each side
x/9 - g+g = a+g
x/9 = a+g
Multiply each side by 9
x/9 * 9 = 9(a+g)
x = 9(a+g)
PLEASE ANSWER is the answer A,B or C???
Answers
Answer:
A. Black Dogs
Step-by-step explanation:
it cant be any other one because it says for every brown dog there are 2 of a different dog. So there are 5 brown dogs so that means there is going to be ten of another kind and that is the black dogs.
could you guys simply these!! I need help asap! :)
Answers
Answer:
Step-by-step explanation:
1. 7x+7
2. 2y+5
Not sure about 3 or 4
5. 11x
6.5x+7
7.10x-9y
8. 5x+5y
Not sure about 9
10. 4x+4
Answer:
7x+7
2y+5
6x^2+3y
5a^3+4a^2+3a (This one is the same because none of the terms are alike)
11x
5x+7
10x-9y
5x+5y
x^2+6x
4x+4
Step-by-step explanation:
Combine like terms for all of these, meaning adding or subtracting anything that has the same variable or power of a variable attached to it.
BOXES Simon will make a box without a top by cutting out corners of equal size from a 22 inch by 15 inch sheet of cardboard and folding up the sides. Which of the following is closest to the greatest possible volume of the box?
a. 330 in3
b. 144 in3
c. 432 in3
d. 1296 in3
Answers
Answer:
Volume of box is [tex]432 in^3[/tex]
Step-by-step explanation:
Let x be the side of square corner
Length of box after cutting corners =22-2x
Breadth of box after cutting corners =15-2x
Height =x
Volume of box = (22-2x)(15-2x)x
Volume of box =[tex]4x^3-74x^2+330x[/tex]
Differentiate w.r.t x
[tex]\frac{dV}{dx}=12x^2-148x+330[/tex]
Substitute derivative =0
[tex]12x^2-148x+330=0\\x=\frac{37-\sqrt{379}}{6},\frac{37+\sqrt{379}}{6}\\\frac{d^2V}{dx^2}=24x-148[/tex]
at [tex]x=\frac{37-\sqrt{379}}{6}[/tex]
[tex]\frac{d^2V}{dx^2}=24x-148=24(\frac{37-\sqrt{379}}{6} )-148=-77.87 < 0[/tex] hence maximum
at [tex]x=\frac{37+\sqrt{379}}{6}[/tex]
[tex]\frac{d^2V}{dx^2}=24x-148=24(\frac{37+\sqrt{379}}{6} )-148=77.87>0[/tex] hence minimum
So,Volume of box =[tex]4x^3-74x^2+330x=4(\frac{37-\sqrt{379}}{6} )^3-74(\frac{37-\sqrt{379}}{6} )^2+330(\frac{37-\sqrt{379}}{6} )=432.23 in^3[/tex]
Hence Volume of box is [tex]432 in^3[/tex]
Ruth wants to buy a skateboard for $56. She has $90 in her account. She spent $11.65 to buy stationary. She also wants to buy some comic books for $3.72 each. What is the maximum number of comic books, n, that Ruth can buy so that she has enough money left to buy the skateboard?
n ≥ 6
n ≤ 6
n ≤ 16
n ≥ 16
Answers
Answer:
n ≤ 6
Step-by-step explanation:
She can't buy more than 6 comic books in order to have enough money to buy skateboard.
90 - 11.65 - 56 = 22.35
Comic Books:
22.35 : 3.72 = 6.008
Answer:
IT B
Step-by-step explanation:
TOOK THE TEST AND IT WAS RIGHT
In Akutan, Alaska, men are 77% of the population. It is also known 11.3% of
Akutan males smoke cigars while 2.1% of Akutan females smoke cigars. One
member of the population is selected at random for a survey involving cell
phone carriers.
Find the probability that the selected subject is not male.
Answers
Answer: 0.23
Step-by-step explanation:
Given that:
Percentage population of males = 77% = 0.77
Hence,
Percentage that aren't male = ( 1 - 0.77) = 0.23
P(males) = 0.77
Hence,
P(non-males) = 1 - 0.77 = 0.23
Solve for x
6^(x-2)=2(3^(3x+2))
Answers
Answer:
1. x = 3/2 = 1.500
2. x = ± √3 = ± 1.7321
Step-by-step explanation:
is 128 is a perfect cube
Answers
Because 128=27
What is the equation of the line that is parallel to the
given line and passes through the point (-2, 2)?
O y=1/5x+4
Oy= 1/5x+12/5
O y = -5x + 4
O y=-5x +12/5
Answers
The equation of the parallel line that passes through the point (-2, 2) is y= (1/5) x + (12/5)
What is meant by line's slope?The slope of a line indicates how steep it is. Slope is defined mathematically as "rise over run." Choose two points on the line and calculate their coordinates. Determine the difference in y-coordinates between these two points. Determine the difference in x-coordinates between these two points. Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).There are four types of slopes: negative, positive, zero, and undefined. as x grows The slope of a line can also be interpreted as the "average rate of change."Therefore,
The slopes of the two lines will be the same because it runs parallel to the line predicted by the equation.
The slope of the line is 1/5,
We know that the line is y= (1/5) x + c.
We can now find the y-intercept using the given point (-2,2).
[tex]$&\Rightarrow y=m x+c \\[/tex]
[tex]&y^2=\frac{1}{5}(-2)+c \\[/tex]
[tex]&\Rightarrow^2=\frac{-2}{5}+c \\[/tex]
[tex]&\Rightarrow c=2+\frac{2}{5}=\frac{10+2}{5}=\frac{12}{5} \\[/tex]
[tex]&\Rightarrow c=\frac{12}{5}[/tex]
Hence, The line's final equation will be [tex]y=\frac{1}{5} x+\frac{12}{5}[/tex]
To learn more about line's slope, refer to:
https://brainly.com/question/16949303
#SPJ2
Answer:
b) y = 1/5x + 12/5
Step-by-step explanation:
took the test on edge
what is the base area of a pyramid with a volume of 72m^3 and a height of 12m solve for the base area
Answers
The length of a baby python increases from 15 inches to 18 inches in one month. By what percentage did the length of the python increase? 120%; 83%; 20%; 3%
Answers
Answer:
20%
Step-by-step explanation:
20% of 15 is 3.
(To check 3 x 5 = 15. 20 x 5 = 1.00)
3 +15 = 18.
Answer:
20% is the answer
Step-by-step explanation:
18-15=3 inches
3/15=20%
so +20% to 15 =18 inches
Please help me !! HELP ASAP! THANK U
Answers
Answer:
The answer is 1,028!
Step-by-step explanation:
Add them together. $699 + $329 = $1,028
Answer: $3084
Step-by-step explanation: The cost of ipad and iphone together costs 1028 and you mutiply that by 3 to get the amount for 3 people
What is the probability of flipping at least 2 heads? As a Fraction
Answers
Answer:
81/100
Step-by-step explanation:
flipping a coin one, two, three or four times. 0.81 is the probability of getting 2 Heads in 5 tosses.
A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees. What is the measure of angle x? (1 point)
Answers
Answer:
Step-by-step explanation:
Use the diagram in the attachment for reference. You can substitute the values given in question in place of the one in the diagram.
From the diagram, it can be seen that the sum of angle x and 20 is equal to angle 75 degrees i.e x+30 = 75 (alternate angles)
Next is to find the value of x from the equation
x+30 = 75
Subtract 30 from both sides of the equation;
x+30-30 = 75-30
x = 75-30
x = 45
Hence the measure of angle x is 45°
Answer:
The answer is 45
Step-by-step explanation:
I got this on a test once and got it right
7/4 as a whole number
Answers
Answer:
[tex] \frac{7}{4} is \: not \: a \:w hole \: number \: \\ it \: is \: a \: mixed \: number \: \\ we \: can \: simplify \: it \: in \: to \: 2 \frac{1}{4} \\ thank \: you[/tex]
Name AYSON Copeland
Date
Decoding Domain
1. This November, FFA students are making fruit baskets to sell to
the community to raise money for a trip. Cassie, an FFA student, is
able to make 10 fruit baskets and will sell them for $40 each.
Make a table with possible values for number of baskets and
earnings
Choc
Choose one: Discrete or Continuous
XDomain:
y
Range:
M
Answers
Answer:
daddy
Step-by-step explanation: daddy for ever
What is the answer to 49/4018
Answers
Answer:
1/82
Step-by-step explanation
Divide both the numerator and denominator by 49 to get the simplified version.
[tex]\frac{49}{4018}\frac{/49 }{/49} \frac{1}{82}[/tex]
Hope this helps!
K(x)=-2|3x+1|-3 ; find k(-3). Please help
Answers
Tia buys 7 packages of muffins. How many muffins does she buy?
A. 39
B. 40
C. 48
D. 56
Answers
Answer:
Probably there are 56 muffins in total
Step-by-step explanation:
This is because based on the choices, the only number that 7 is a factor of is 56
That means there were 8 muffins in each package
Hope this helps!
Just tell me the coordinates
Answers
Hope this helps! If not I, truly sorry
What is the range of this function?
(16, -16)
(13, 16)
(8, 7)
Answers
Answer:
Domain: { 16, 13 , 8 }
Range: { −16, 16, 7 }
Step-by-step explanation:
The domain is the set of all the values of x.
The range is the set of all the values of y .
the ratio of 10m to 10 km is
Answers
Answer:
10:10,000 is the answer to ur quation
I have no idea where to start
Answers
Let me know if you want the answer, but what you need to do first is get the opposite angles.
They're on straight lines, so 180 minus that angle would equal the angle inside the triangle.
Then all inner angles if a triangle add up to 180° so 180 minus the two other angle would give you the final missing angle.
Do the straight line thing again and subtract 156 from it.
helppp!!
Identify the slope of the following equation:
-4x + 3y = 3
Answers
Answer:
the answer is -4
Step-by-step explanation:
Answer:
Step-by-step explanation:
-4x+3y=3
-4x/3=3-3y/3
x=1.5
Therefore the slope in 1.5
What is the expression under the radical sign in the quadratic formula called? *
coefficient
degree
discriminant
O conjugate
5 poin
Answers
The formula for the discriminant is
d = b^2 - 4ac
If d < 0, then there are no real number solutions
If d = 0, then you have exactly one real solution
If d > 0, then you have two different real number solutions
Nicole is 56 inches tall and has an 84 inch shadow. Julie is standing next to Nicole and has a 96 inch shadow. How tall is Julie?
Answers
Answer:
56+12=68. 68 inches
Step-by-step explanation:
julie‘s shadow is 12 inches taller than Nicole’ so you would just add 12 to 56.
Two times a number +1 is greater than five and less than seven
Answers
Answer:
6
Step-by-step explanation:
because you should know it is well maybe it should have a decimal
Explanation:
2 times a number +1 is greater than five but less than seven. That means the answer is in between 5 and 7. 5 !!6!! 7
A parking lot has 88 parking spaces. Of those, 4 are reserved for disability parking, 48 are for full-size cars, and the remaining spaces are for compact cars. What is the ratio of compact spaces to full-size spaces?
Answers
3 1/8 +4 3/8 solve the question
Answers
Answer:
7 1/2
Step-by-step explanation:
Let's add the whole numbers first, 3 + 4 = 7
Then, we add the fraction, and since the denominator is the same, there's no need for a change, so we just add the top. 1/8 + 3/8 is 4/8, which can be simplified to 1/2
so answer is 7 1/2