Answers
Answer:
a. m∠1 = 75°
b. m∠2 = 46°
c. m∠3 = 59°
d. m∠4 = 59°
e. m∠5 = 46°
f. m∠7 = 121°
g. m∠8 = 59°
h. m∠9 = 62°
i. m∠10 = 118°
j. m∠11 = 59°
k. m∠13 = 118°
i. m∠14 = 62°5
Example 5
m∠1 =78°
m∠2 = 102°
m∠3 = 59°
m∠4 = 102°
m∠5 = 38
m∠6 = 142°
m∠7 = 38°
m∠8 = 142°
m∠9 = 78°
m∠11 = 78°
m∠12 = 102°
m∠13 = 38°
m∠14 = 142°
Step-by-step explanation:
a. m∠1 ≅ m∠6 (Alternate angle theorem)
m∠1 = m∠6 = 75° (Definition of congruency)
m∠1 = 75°
b. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)
m∠5 = 121° - 75° = 46°
m∠5 = 46°
m∠2 ≅ m∠5 (Alternate angle theorem)
m∠2 = m∠5 = 46° (Definition of congruency)
m∠2 = 46°
c. m∠3 = 180 - (m∠1 + m∠2) (Angle subtraction and sum of angles on a straight line)
m∠3 = 180 - (75 + 46) = 59°
m∠3 = 59°
d. m∠4 = 180 - (m∠1 + m∠5)
m∠4 = 180 - (75 + 46) = 59°
m∠4 = 59°
e. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)
m∠5 = 121° - 75° = 46°
m∠5 = 46°
f. m∠7 = m∠12 = 121° (Alternate angle theorem)
m∠7 = 121°
g. m∠8 = 180 - m∠7 = 180 - 121 = 59°
m∠8 = 59°
h. m∠9 + m∠5 + m∠8 = 180 (The sum of the interior angles of a triangle)
m∠9 = 180 - (59 + 59) = 62°
m∠9 = 62°
i. m∠10 = 180 - m∠9 = 180 - 62 = 118°
m∠10 = 118°
j. m∠11 = m∠8 = 59°
m∠11 = 59°
k. m∠13 = m∠10 = 118°
m∠13 = 118°
i. m∠14 = m∠9 = 62°
m∠14 = 62°
Example 5
m∠5 = m∠7 = 38
m∠5 = 38°
m∠6 = 180 - 38 = 142°
m∠6 = 142°
m∠8 = m∠6 = 142°
m∠8 = 142°
m∠12 = m∠10 = 102°
m∠12 = 102°
m∠11 = 180 - m∠12 = 180 - 102 = 78°
m∠11 = 78°
m∠9 = m∠11 = 78°
m∠9 = 78°
m∠1 = m∠9 = 78°
m∠1 =78°
m∠3 = 78°
m∠2 = m∠4 = m∠10 = 102°
m∠13 = 360 - (m∠3 + m∠6 + m∠12) = 360 - (78 + 142 + 102) = 38°
m∠13 = 38°
m∠15 = 38°
m∠14 = m∠16 = 180 - m∠15 = 180 - 38° = 142°
m∠14 = 142°
m∠16 = 142°
Related Questions
338 points in 16 games. how many points did they make per game?
Answers
just divide 338 by 16.
-hope this helps
Use the model to solve for x.
A) x = 2
B) x = 4
C) x = 8
D) x = 12
Answers
9514 1404 393
Answer:
B) x = 4
Step-by-step explanation:
You observe that the smaller number of (+1) tokens is 2 of them, found on the right side. Remove 2 (+1) tokens from each side to get ...
x + 4 = 2x
The smaller number of (x) tokens is 1, found on the left side. Remove 1 (x) token from each side to get ...
4 = x . . . . . matches choice B
_____
Comment on this approach
In general, this is a decent approach to use for solving any linear equation. You may find that x and number tokens end up on the same side of the equal sign (with 0 on the other side). Then you need to add some number of (-1) tokens to both sides to cancel the ones on the side with x.
At the end, you may need to split the problem evenly into equal parts according to the number of times x appears. (If this had been x+6 = 3x+2, then you would end with 4=2x. Splitting that into two equal parts, each would be 2=x.)
What is the scale factor from triangle ABC to triangle PQR?
Answers
The scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
To find the scale factor from triangle ABC to triangle PQR, we need to compare the corresponding side lengths of the two triangles.
Side AB corresponds to side PQ, which has a length of 6 units.
Side BC corresponds to side QR, which has a length of 9 units.
Side AC corresponds to side PR, which has a length of 12 units.
So, the scale factor from triangle ABC to triangle PQR can be found by comparing the ratio of corresponding side lengths:
AB/PQ = BC/QR = AC/PR
Using the values we found above, we can write:
|AB/PQ| = 2/3
|BC/QR| = 3/4
|AC/PR| = 4/5
Since all three ratios are equal in magnitude, we can take any one of them to be the scale factor. Therefore, the scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
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What is the slope of line that passes through the points -2,4 and 1,-1
Answers
Answer:
-5/3
Step-by-step explanation:
-2 to 1 =3 x=3
4 to -1=5 y=-5
y/x slope=-5/3 or -1 2/3
Help me solve this problem please
Answers
Answer:
subtracted 2x from both sidesStep-by-step explanation:
4x = 2x + 402 subtract 2x from both sides
4x - 2x = 2x - 2x + 402
2x = 402
What the equation of the line that is perpendicular to the line y = −3x + 5 that goes through point D (9, 2)?
Answers
Answer:
y=1/3-1 ...............
8³ times 8⁷ i need help asap
Answers
Answer: 8¹⁰
Explanation: Since these two powers have the same base of 8, you can
multiply them together by simply adding their exponents to get 8¹⁰.
A common mistake in this problem would be to
multiply the bases together and give an answer of 64¹⁰.
It's important to understand however that the 8's can't be
multiplied together because they are not coefficients, they are bases.
When applying your exponent rules, your base will never change.
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
Answers
2x^3+9x^2+5x+27
The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
What is the standard form of the polynomial?
To write a polynomial in its standard form, we first simplify then write the terms in an descending order.
Given the polynomial; 9x² + 5x + 27 + 2x³
First, we move the constant 27 to the right end of the expression
9x² + 5x + 2x³ + 27
Next, we move 2x³ left end of the expression
2x³ + 9x² + 5x + 27
Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
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Chris is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is
10 1/2 inches long, how many pieces can he make?
Answers
Answer:
5.25
Step-by-step explanation:
An equilateral triangle with side length 4cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
Answers
Answer:
4√3cm^2
Step-by-step explanation:
we know that the area of equilateral triangle is √3/4a^2
If you answer I will give brainliest.
How many km did a bird travel if it flew at a speed of 55 km/hr for 35 hours? *
A 1.6 km
B 0.6 km
C 18.3 km
D 1,925 km
Answers
D. 1,925 km
Multiply 55 with 35 --> 1,925 km/35hrs
Answer:
D
Step-by-step explanation:
55*35=1925
I need helpppp?!!!
What is the slope of the line??
Please give right answer
Answers
Answer: -1/2
Step-by-step explanation:
Slope=rise/run
Up 1 and to the left 2 which makes it a negative
to find this, take two points from the graph. I used (0,3) and (2,2). Then find the difference between the y coordinates and x coordinates. So in this case, the difference between 3 and 2 is 1. And the difference between 0 and 2 is two. And remember it is rise over run so that makes it 1/2. And lastly, you know it's negative because the graph is decreasing. hope this helpsss
On Monday at 1 p.M., when the ocean's surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean's surface. At 7 p.M. When the ocean's surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean's surface.What was the distance between the deck and the ocean's surface at 1 p.M.?
Answers
Answer:
5.4 feet
Step-by-step explanation:
Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.
At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was 8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.
Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was 8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.
From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].
[tex]d= 10- (d_1+d_2)[/tex]
[tex]=10-(2.2+2.4)[/tex]
=5.4 feet
Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:
[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]
[tex]x_{1} = 10.4\,ft[/tex]
Now we determine the absolute elevation of the deck at 7 P.M.:
[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]
[tex]x_{2} = 7.6\,ft[/tex]
Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:
[tex]x' = 7.6\,ft - 2.2\,ft[/tex]
[tex]x' = 5.4\,ft[/tex]
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
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Can someone send me the answer to the question in the photo? (with solutions)
Answers
Answer:
This is so easy question .
I can do.
A fruit bowl contains 2 bananas, 5 oranges, and 4 apples in the simplest form, what is the ratio of apples to bananas in the fruit bowl?
Answers
Answer:
Ratio of apple to banana is 2:1
Step-by-step explanation:
To find ratio of x type of one thing and y type of other thing we divide
x by y and ratio is written as
ratio = x:y
_________________________________
Number of banana = 2
Number of apples = 4
Ratio of apple to banana = Number of apples :Number of banana
Ratio of apple to banana = 4:2
since 4 is divisible by 2 , to get the ratio in simplest form
we divide both numerator and denominator by 2
Ratio of apple to banana = 4/2:2 /2 = 2:1
Thus,
Ratio of apple to banana is 2:1
i’ll mark brainlest !! (60 points )
Answers
Answer:
B and D are the answer's.
Step-by-step explanation:
i needa lil help on this question
Answers
Answer:
-2, -4
Step-by-step explanation:
hey lol i need help with this plz
Answers
Answer:
The first line shows the solutions to n > 0.
The open circle and shaded part after the 0 indicate that n > 0 is represented by the first line.
Answer:
It's the first one aka A.
Step-by-step explanation:
It's the first one bc it shows greater than. The second one shows n is = to or greater, 3rd one shows less than, and last one shows = to or lesser. So in other words, the correct answer would be A.
Will make brainliest!
Please explain what I did wrong , and please give me the correct answer thank you :)
Answers
Answer:
y = -x + 5 or y = -1x + 5
you did it correctly but you have to put -1 instead of - since it doesn't know what you mean by just - yk
Step-by-step explanation:
5 (6 - x) = 5 (1 + y)
30 - 5x = 5 + 5y
-5 - 5
25 - 5x = 5y
5y = -5x + 25
5 5
y = -x + 5
PLZ HELP ME HELP PLZ
Answers
Answer:
2000
Step-by-step explanation:
that i the answer becuase you multply
Jose and his mother decide to bake a cake for his Father's birthday. Jose notices that after mixing the cake batter and placing it in the oven he says bubbles forming in the cake as it begins to rise. What explains this Phenomenon? A. Physical Change B. Chemical Change C. Neither physical nor chemical change D. Both physical and chemical change
Answers
Answer:
B) Chemical Change
Step-by-step explanation:
Physical change only changes the physical appearance of good, their chemical properties remaining same. These are usually reversible. Eg : Cutting a cake
Chemical change changes the physical composition of the product(s) involved. These are usually not irreversible. Eg : Baking of a cake, getting bubbles during bake process meanwhile
What is the solution to the inequality f+4<2
a.f<6
b.f<-2
c.f<2
d.f<-6
Answers
Step-by-step explanation:
option b is the correct answer
2/15 of an airline's flights are international. The airline's flights are equally divided among 8 countries. What fraction of the airline's flights are to each country? If the airline has 2700 flights in all, how many are international? How many are not international? How many are to each of the 6 countries?
Answers
Answer:
The fraction of the airline's flights for each country is 1 /60
The number of international airline flights is 360 flights
The number of flights for each of the 8 countries is 45 flights
Step-by-step explanation:
Given;
international airline's flights = 2/15
number of countries = 8
total number of the airline flight
The fraction of the airline's flights for each country;
[tex]= \frac{2}{15}*\frac{1}{8} \\\\ = \frac{1}{60}[/tex]
The number of international airline flights;
[tex]= \frac{2}{15} *2700\\\\= 360 \ flights \ are \ international[/tex]
The number of flights for each of the 8 countries;
[tex]= \frac{1}{8} *360\\\\= 45 \ flights \ \\\\OR\\\\= \frac{1}{60}*2700\\\\ = 45 \ flights[/tex]
h(x) = x2 + 1 k(x) = x – 2
(h + k)(2) =
2
⇒ 5
(h – k)(3) =
Evaluate
Answers
Answer:
5, 9, and 17
Step-by-step explanation:
Did it on Edg. 2021 and got it right.
The United States Census collects data on many variables about individuals and households.
Which variables are quantitative?
Select all that apply.
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18.
Number of minors in the household
Family role of respondent
Number of family members residing at the address
Ethnicity
Zip code
Answers
Answer:
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18
Number of minors in the household
Number of family members residing at the address
Zip code
Step-by-step explanation:
Given the following :
Select the variables which are quantitative :
Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.
Years living in the U.S. = quantitative
How many adults are registered to vote in the upcoming election? = quantitative
Number of adults over 18. = quantitative
Number of minors in the household = quantitative
Family role of respondent = not quantitative
Number of family members residing at the address = quantitative
Ethnicity = Not quantitative
Zip code = quantitative
Solve this 8x+5/2=13
Answers
Answer: There are actually 3 answers for this ahaha, but this is the EXACT ONE: 21/16 in DECIMAL FORM it's 1.3125 in MIXED NUMBER FORM it's 1 5/16
Step-by-step explanation:
HELP PLEASE ASAP
Which of the following are irrational numbers?
55
53
✓20
71
Submit
Answers
Answer: √20
Step-by-step explanation:
4.47213595 (the 5 repeats)
What is the slope of a line that is parallel to the graph of 2x+3y=5?
Answers
Answer:
2/3
Step-by-step explanation:
I checked on desmos.
Which ordered pair is in the solution set of 2x - 5y ≥ 10?
a.(-2,1)
b.(-5,-2)
c.(0,5)
d.(6,0)
Answers
(3,5)
Step-by-step explanation:
Answer:
5,0
Step-by-step explanation:
Use the website Desmos to help u in this question
in a geometrical progression,the product of the 2nd and 4th term is double the the 5th terms. and the sum of the first four terms is 80 find the G.p
Answers
The 15th term of the geometric progression is 9,565,94.
What is the 15th term of the geometric progression?A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.
From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that
a1 r a1 r3 = 2 a1 r4
The r's and one a1 cancel leaving a1 = 2.
Now, plugging similarly into a1 + a2 + a3 + a4 = 80,
2 + 2r + 2r2 + 2r3 = 80
r3 + r2 + r + 1 = 40
In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.
So the geometric sequence here is an = 2 3n-1. The 15th term is then:
a15 = 2*3^14
a15 = 9,565,938.
Full question:
A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.
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