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
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Related Questions
Find the value of x in the triangle shown below.
5
12
Choose 1 answer:
x = 60
= V119
= 13
= 17
Answers
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
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.
help me solve this please
Answers
Answer:
the answer is 0.7692
Step-by-step explanation:
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°
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.
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.
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
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
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
0.51 x 40 = (0.5 + 0.01) x 40 =
Answers
Answer:
hello! :) have a good day!
20.4
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
hello hello I need help asap
Answers
Hope this helps
Answer:
im not smart
Step-by-step explanation:
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
−2.2⋅(−2)÷(−
4
1
)⋅5
Answers
Step-by-step explanation:
la respuesta no es correcta porque es falsa
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]
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 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
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
A store sells hardcover books for $8 and paperback books for $5. You buy 9 books, represented by the equation x+y=9, where x is the number of hardcover books and y is the number of paperback books. The equation 8x+5y=51 represents the total cost. How many of each type of book did you buy?
Answers
Answer:
Step-by-step explanation:
x+y = 9
y = 9-x
8x + 5y = 51
8x + 5(9-x) = 51
8x + 45 - 5x = 51
3x = 6
x = 2
y = 9-x = 7
Two hardcover books and seven paperback books.
A researcher gathers a sample of n=89 people to try a new
type of therapy and to compare the sample to the
population mean of m=23. The sample means for
depression after treatment was =24 with a standard
deviation of s=3. Using this information, what is the mean
for the distribution of sample means used for this study?
Round your answer to 2 decimal places if appropriate.
Answers
Answer:
24
Step-by-step explanation:
+#;$;_;_:;+$hshshsbbsns
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
Find the vertex of this quadratic
Answers
The vertex is (2,0)
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 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
7283
+3124
----------
Answers
Answer:
10407
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 :)
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)
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.
Please help with this math question
Answers
Domain: {-3}
Range: {8, 7, 6, 5}
This is not a function.