Answers
The value of angle 20 is as follows:
m∠20 = 50.9 degrees.
How to find angles when parallel lines are cut by a transversal?When parallel lines are cut by a transversal, angle relationships are formed. This include corresponding angles, alternate angles , vertical angles etc.
Therefore, line l and m are parallel lines cut by the two transversal.
Hence,
m∠6 ≅ m∠20 (alternate angles)
Therefore, alternate angles are congruent
m∠20 = 2x - 4
m∠19 + m∠20 = 180 (angles on a straight line)
5x - 8 + 2x - 4 = 180
7x - 12 = 180
7x = 180 + 12
7x = 192
x = 192 / 7
x = 27.4285714286
x = 27.43
Therefore,
m∠20 = 2(27.43) - 4
m∠20 = 50.8571428571
m∠20 = 50.9 degrees.
learn more on parallel lines here: https://brainly.com/question/14938694
#SPJ1
Related Questions
find the 8th term of the geometric sequence 3,9,27
Answers
Answer:
6,561
Step-by-step explanation:
multiply 3 by the last number, like 3*3 is 9 then 9*3 is 27*3 is 81 then 81*3 243 and so until it reaches 8 time
A researcher gathers a sample of n=89 people to try a new
type of therapy and to compare the sample to the
population mean of m=23. The sample means for
depression after treatment was =24 with a standard
deviation of s=3. Using this information, what is the mean
for the distribution of sample means used for this study?
Round your answer to 2 decimal places if appropriate.
Answers
Answer:
24
Step-by-step explanation:
+#;$;_;_:;+$hshshsbbsns
hello hello I need help asap
Answers
Hope this helps
Answer:
im not smart
Step-by-step explanation:
help me solve this please
Answers
Answer:
the answer is 0.7692
Step-by-step explanation:
Please help, this is due soon
Answers
Answer:
A!
Step-by-step explanation:
All of the numbers line up in skip counting. (by 3)
Hope this helps! Mark me as brainliest if it does :)
Complementary angles
Find the value of x in each right angle.
I cannot get this wrong
Answers
Answer:
The value of x = 28°
Step-by-step explanation:
Explanation:-
Complementary angles:-
Two angles are called Complementary angles when their measures add to 90 degrees
∠A + ∠B = 90°
(x+40)° + 22° = 90°
x + 62° = 90°
x = 90 - 62
x = 28°
The total points scored in the games of an NBA playoff series: 195 177 215 200 189 232 201 199 192 201
Answers
Step-by-step explanation:
something is missing. maybe mean, median
Find the equation of a line parallel to y = x – 3 that contains the point (-2, 1).
Yeah
Answers
Answer:
The equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:
[tex]y = x + 3[/tex]The graph of both the parallel equation is shown below to make you further understand the concept.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptGiven the equation
[tex]y = x - 3[/tex]
comparing with the slope-intercept form of the line equation
Slope m = 1
Important Tip:
As the parallel lines never intersect, therefore, they have the same slopes.Thus, the slope of the parallel line is also 1.
As the parallel line contains the point (-2, 1).
so substitute m = 1 and (-2, 1) in the slope-intercept form of the line equation to determine the y-intercept of the parallel line
[tex]y = mx+b[/tex]
[tex]1 = 1(-2) + b[/tex] ∵ (x, y) = (-2, 1) and m = 1
[tex]1 = -2 + b[/tex]
switch sides
[tex]-2+b = 1[/tex]
add 2 to both sides
[tex]-2 + b + 2 = 1 + 2[/tex]
simplify
[tex]b = 3[/tex]
Thus, the y-intercept b of the parallel line is: b = 3
now substitute b = 3 and m = 1 in the slope-intercept form of the line equation to determine the equation of the parallel line
[tex]y = mx + b[/tex]
[tex]y = (1)x + 3[/tex]
[tex]y = x + 3[/tex]
Therefore, the equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:
[tex]y = x + 3[/tex]The graph of both the parallel equation is shown below to make you further understand the concept.
From the graph:
The green line represents the equation y = x - 3 The black line represents the parallel equation y = x + 3It is clear that both lines are parallel.
In addition to the information given in the drawing, which statement would be sufficient to prove
that STW-XYZ?
Number 5
Answers
Answer:
[tex]SW= 15[/tex] and [tex]TW= 24[/tex]
Step-by-step explanation:
Given
See attachment for the triangles
Required
Which additional statement proves the similarity of both triangles
From the attachment:
[tex]ST = 27\\XY = 9\\YZ = 8\\XZ = 5[/tex]
The similar sides of both triangles are: ST and XY
So:
[tex]Ratio = ST : XY[/tex]
[tex]Ratio = 27 : 9[/tex]
Divide by 9
[tex]Ratio = 3 : 1[/tex]
Another similar sides are: TW and YZ
So:
[tex]TW : YZ = TW : 8[/tex]
Equate both ratios:
[tex]TW : 8 = 3 : 1[/tex]
Represent as fraction
[tex]\frac{TW }{ 8 }= \frac{3 }{ 1}[/tex]
[tex]\frac{TW }{ 8 }= 3[/tex]
Multiply both sides by 8
[tex]8 * \frac{TW }{ 8 }= 3*8[/tex]
[tex]TW= 3*8[/tex]
[tex]TW= 24[/tex]
Another similar sides are: SW and XZ
So:
[tex]SW:XZ = SW:5[/tex]
Equate both ratios:
[tex]SW:5 = 3:1[/tex]
Represent as fraction
[tex]\frac{SW}{5} = \frac{3}{1}[/tex]
[tex]\frac{SW}{5} = 3[/tex]
Multiply both sides by 5
[tex]5*\frac{SW}{5} = 3*5[/tex]
[tex]SW = 3*5[/tex]
[tex]SW = 15[/tex]
So, the statement that proves the similarity of the triangles is:
[tex]SW= 15[/tex] and [tex]TW= 24[/tex]
0.51 x 40 = (0.5 + 0.01) x 40 =
Answers
Answer:
hello! :) have a good day!
20.4
A store sells hardcover books for $8 and paperback books for $5. You buy 9 books, represented by the equation x+y=9, where x is the number of hardcover books and y is the number of paperback books. The equation 8x+5y=51 represents the total cost. How many of each type of book did you buy?
Answers
Answer:
Step-by-step explanation:
x+y = 9
y = 9-x
8x + 5y = 51
8x + 5(9-x) = 51
8x + 45 - 5x = 51
3x = 6
x = 2
y = 9-x = 7
Two hardcover books and seven paperback books.
Find the value of x in the triangle shown below.
5
12
Choose 1 answer:
x = 60
= V119
= 13
= 17
Answers
What geometric term describes PQ and RS
Answers
Answer:
perpendicular lines
Step-by-step explanation:
Two lines in a plane are said to be perpendicular if they intersect in such a way that the angles formed between them are right angles. In the adjoining e, lines PQ and RS intersect at 0 such that ∠ROQ = ∠ ROP = ∠POS = ∠QOS = 90°. Therefore, we say that PQ is perpendicular to RS
Find the vertex of this quadratic
Answers
The vertex is (2,0)
Please help with this math question
Answers
Domain: {-3}
Range: {8, 7, 6, 5}
This is not a function.
The scale of a map is 1 cm : 21 km. Find the actual distance corresponding to the map distance.
The distance on the map is 2.5 cm.
Answers
Answer:
52.5
Step-by-step explanation:
2.5 x 21 = 52.5
Mr. king used 16 gallons of gas in 6 days. Circle any of the following that describes the average amount of gas Mr. King used per day? (Sorry forgot options, also my math teacher gave me a hint about 3 answers)
Answers
2.66666 rounded to 2.67 or 2.7
Help plzzzzzzzzzz will mark brainilest
Answers
Answer:
Group B has the higher median by 0.5 inches. The IQR for Group A is smaller. IQR for Group B is 2 inches.
Select the statement that correctly describes the solution to this system of equations.
X+3y=5
Y=4x-7
A. There is no solution
B. There are infinitely many solutions.
C. There is exactly one solution at (2,1).
D. There is exactly one solution at (4,2).
Which 1?
Answers
x+12x-21=5
13x-21=5
13x=26
x=2
y=4x-7
y=4(2)-7
y=8-7
y=1
ANSWER: C. solution at (2,1)
Answer:
C
Step-by-step explanation:
if you substitute in for x and y it works
−2.2⋅(−2)÷(−
4
1
)⋅5
Answers
Step-by-step explanation:
la respuesta no es correcta porque es falsa
Please please give answer
Answers
Answer:
40 square cm
Step-by-step explanation:
2(l + b) = 28
(l + 4) = 28/2
l + 4 = 14
l = 14 - 4
l = 10 cm
Area = lb = 10*4 = 40 square cm
A bag contains 5 apples and 3 oranges. If you select 2 pieces of fruit without looking, how many ways can you get 2 apples?
Answers
Answer:
you can feel a stem
Step-by-step explanation:
im sorry i dont know
NEED THE ANSWER ASAP
Answers
Answer:
D. 4.15c + .94s
Step-by-step explanation:
4.15 is how much the cashews cost per pound, this multiplied by c would be the full cost of however many pounds of cashews are being purchased.
.94 is how much the sugar costs per pound, this multiplied by s would be the full cost of however many pounds of sugar is being purchased.
to get the full cost of both, you add these equations together (4.15c + .94s)
I will mark you brainlest if you get this question correct
Answers
Answer:
12, 17, 30.
Step-by-step explanation:
Given
(a) to (d)
Required
Which cannot represent a triangle
The rule to use is:
[tex]a + b > c[/tex]
So, we have: 12, 17, 30.
[tex]12 + 17 > 30[/tex] ===> [tex]29 > 30[/tex] --- False
[tex]12 + 30 > 17[/tex] ==> [tex]43 > 17[/tex]
[tex]17 + 30 > 12[/tex]
Because, one of the inequalities is False, then this can not represent the sides of a triangle.
7283
+3124
----------
Answers
Answer:
10407
Step-by-step explanation:
Help anyone? Need it now.
Giving brainliest
Correct answer
Answers
Answer:
I think it is true
Step-by-step explanation:
If it is a loan
t must represent the loan meaning
t = 30
(i know it makes no sense it's how i thought hope this helped)
Answer:
True
Step-by-step explanation:
I think true because in an equation, t would represent the loan like it is in the picture.
hope this helps!!!!!!The product of the areas of two rectangular rugs is 140. If each of the dimensions is a prime number, what are the four dimensions?
A. 2,4,5,7
B. 2,2,5,7
C. 2,2,5,5
D. 2,5,7,7
Answers
Answer:
The correct answer is B. 2,2,5,7
Step-by-step explanation:
To answer this just multiply them in the order you see them in so 2*2=4 4*5=20 *7=140
What Reasoning could you use to prove the two triangles shown below are congruent?
AAS
SAS
ASA
SSS
Answers
I KNOW ITS SAS....................
you need to use SAS
Step-by-step explanation:
so first you write PQ=QR
PQS=SQR
PS=SR
70 points! Mhanifa please help I don’t want to get this wrong :( thanks! Random answers will be reported !!
Answers
Answer:
Congruent pairs of triangles:
ΔABD ≅ ΔDCB
AB≅CD - given∠ABD ≅ ∠CDB - givenBD≅DB - common sideSAS - two sides and the included angleΔABD ≅ ΔEFD - SAS
AB≅EF - given∠ABD ≅ ∠EFD - given∠ADB ≅ ∠EDF - vertical anglesAAS - two angles and non-included sideBy using the above two we can state that:
ΔBDC ≅ ΔDFE - by ASA or SSS
because
BD ≅ DF (corresponding parts) AD ≅ BC (corresponding parts) AD ≅ ED (corresponding parts) and therefore BC ≅ EDWe can't prove that:
ΔAGD is congruent with any of the others as not enough informationThere is one side and one angle and we can' t get two angles or two sides with included angle. Maximum we can get is SSA which doesn't guarantee the congruence.
What is 2 2/3 x 1 3/4
A. 2 1/2
B.32/21
C.15/7
D. 4 2/3
Solve
Answers
Answer:
D: 4 2/3
Step-by-step explanation:
First convert these mixed numbers into improper fractions:
8/3 x 7/4 =
(8x7)/(3x4)= 56/12.
Now simplify 56/12, which would be 14/3. Now convert this into a mixed number: 4 2/3.
What is 2 2/3 x 1 3/4 estimate: 2 ₓ 4 Or 8
5 / 2 ₓ 15/ 4 = 75/8
=9 3/8 Convert to mixed
number, divide 75 by 8.