I need help!!! Parallel lines p and q are cut by two non parallel lines m and n as shown in the figure the value of x is degrees and the value of y is degrees
Answers
Answer:
x = 78° , y = 115°
Step-by-step explanation:
The angle adjacent to x on the left side is corresponding to 102° , then
x = 180° - 102° = 78°
----------------------------------------
y and 115° are corresponding angles and congruent, then
y = 115°
Related Questions
You throw a stone with a force of 55.1 N. It accelerates at 41.6 m/s2.
Find the mass of the stone in kg. Round your answer to 1 decimal place.
Answers
Answer:
Mass = 1.3 Kilograms.
Step-by-step explanation:
Given the following data;
Force = 55.1 N
Acceleration = 41.6 m/s²
To find the mass of the stone in kg;
Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.
Mathematically, it is given by the formula;
Force = mass * acceleration
Substituting into the formula, we have;
55.1 = mass * 41.6
[tex] Mass = \frac {55.1}{41.6} [/tex]
Mass = 1.3 Kilograms
will mark brainliest if answered
Answers
Answer:
See below
Step-by-step explanation:
The vertex form of a parabola is y = a(x - h)^2 + k
If the leading coefficient is positive, the parabola opens upward, and (h, k) represents the vertex, or turning point.
1a. The leading coefficient is 4, which is positive, meaning the parabola opens upwards. From the vertex form, we can say the vertex(turning point) is (2, 7).
1b. The leading coefficient is -3, which is negative, meaning the parabola opens downwards. From the vertex form, we can say the vertex(turning point) is (-6, 4).
1c. The leading coefficient is -1, which is negative, meaning the parabola opens downwards. From the vertex form, we can say the vertex(turning point) is (-4, -3).
To write the vertex form of a parabola, we need to complete the square. A perfect square trinomial is in the form a^2 + 2ab + b^2. In these cases we are already given a^2 and 2ab.
2a. We can say x^2 corresponds to a^2 because it is a square and 2ab corresponds to 6x. From this, we can say a = x. Now, we can plug that in:
2ab = 6x
2(x)b = 6x
b = 3
Therefore, the last term b^2, is 3^2 or 9. We can add 9 and subtract nine to keep the equation equivalent:
y = x^2 + 6x + 9 - 9 - 2
Now, we can factor the square into (a + b)^2 and simplify:
y = (x + 3)^2 - 11
From this form, the vertex(turning point) will be (-3, -11). Since the leading coefficient is 1, which is positive, the parabola opens upwards, meaning the turning point is a minimum.
2b. We can say x^2 corresponds to a^2 because it is a square and 2ab corresponds to -2x. From this, we can say a = x. Now, we can plug that in:
2ab = -2x
2(x)b = -2x
b = -1
Therefore, the last term b^2, is (-1)^2 or 1. We can add 1 and subtract nine to keep the equation equivalent:
y = x^2 - 2x + 1 - 1 + 11
Now, we can factor the square into (a + b)^2 and simplify:
y = (x - 1)^2 + 10
From this form, the vertex(turning point) will be (1, 10). Since the leading coefficient is 1, which is positive, the parabola opens upwards, meaning the turning point is a minimum.
which value is an import of the function?
-14
12
0
4
Answers
The value of the expression when x equals 12/7 is..
Answers
Answer:
x = 82
Step-by-step explanation:
1/3(12/7 + 9/7) + 3⁴ =
1/3(21/7) + 3⁴ =
1/3(3) + 3⁴ =
1 + 81 = 82
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 18°33'. When the boat stops, the angle of depression is 51°33'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place. HELP
Answers
Answer:
51.33
Step-by-step explanation:
Step-by-step explanation
The angle of depression from the lighthouse is the angle of elevation from the boat. The line of sight from the top of the lighthouse, when depressed, becomes an alternate interior angle of two parallel lines, the line of sight from the top and the boat's movement.From the boat's standpoint, which is what we want anyway, there is a right triangle, with the distance from the lighthouse the adjacent side, the opposite is 200,' and the boat the point desired. The tangent is needed.
From the boat's standpoint, which is what we want anyway, there is a right triangle, with the distance from the lighthouse the adjacent side, the opposite is 200,' and the boat the point desired. The tangent is needed.tangent 18.33 degrees (33 minutes is 33/60 of a degree)=200x
=0.56x−0.25n=0.20x−0.03
m
=
0
.
56
x
-
0
.
25
n
=
0
.
20
x
-
0
.
03
Find the sum of m and n. Show all work of explain how you solved
Answers
Given:
[tex]m=0.56x-0.25[/tex]
[tex]n=0.20x-0.03[/tex]
To find:
The sum of m and n.
Solution:
We have,
[tex]m=0.56x-0.25[/tex]
[tex]n=0.20x-0.03[/tex]
The sum of m and n is:
[tex]m+n=(0.56x-0.25)+(0.20x-0.03)[/tex]
Combining the like terms, we get
[tex]m+n=(0.56x+0.20x)+(-0.25-0.03)[/tex]
[tex]m+n=(0.76x)+(-0.28)[/tex]
[tex]m+n=0.76x-0.28[/tex]
Therefore, the sum of m and n is [tex]m+n=0.76x-0.28[/tex].
Suman and Narayan riding bikes towards each other they are 480 Km apart. The speed of Narayan is 6km/hr faster than Suman. If both meet each other after 6hours find there speeds when both started at same time.
Answers
Answer:
Suman 37 km/hr
Narayan 43 km/hr
(extremely sorry if this is wrong!!)
Step-by-step explanation:
We can use the formula distance divided by time is speed.
480/6 = 80.
Their speeds must add up to 80 km/hour
Lets set suman as a variable, lets say s.
Narayan has a speed 6 more than suman so we say 6+s
6+s+s = 80
subtract 6 from both sides
s+s = 74
add like terms
s+s = 2s
2s = 74
divide both sides by 2.
74/2=37
s=37
Suman's speed is 37 km/hr.
Narayan's speed would be 6 more than Suman's so we do 6+37
which makes 43 km/hr
The volume of the rectangular prism is how many cubic centimeters
Answers
Answer:
The volume of each cube is one cubic centimetre so the volume of the rectangular prism above is 60 cubic centimetres, or 60 cm3.The volume of each cube is one cubic centimetre so the volume of the rectangular prism above is 60 cubic centimetres, or 60 cm3.
Math help please show work
Answers
Answer:
7 in
Step-by-step explanation:
Answer:
a = 7 in
Step-by-step explanation:
[tex]Area = \frac{a+b}{2} \times h\\\\26.25 = \frac{a + 10.5}{2} \times 3\\\\26.25 \times 2 = (a+ 10.5) \times 3\\\\52.5 = (A + 10.5) \times 3\\\\\frac{52.5}{3} = a + 10.5\\\\17.5 = a + 10.5\\\\a = 17.5 - 10.5 = 7[/tex]
The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?
Ans
2280,2502,240
Answers
Answer:
2400
2640
360
Step-by-step explanation:
the retailer has to sell it for the same price as the dealer.
so, both mark it for 2400 sale price.
if a customer buys it at the retailer, the retailer makes the 15% discount he got from the dealer as profit.
2400 = 100%
1% = 2400/100 = 24
15% = 24×15 = 360
the retailer makes this profit no matter what other fees or taxes are added.
the final price is then including 10% VAT
2400 = 100%
10% = 24×10 = 240
final price = SP + VAT = 2400 + 240 = 2640
Of the $77.84 direct-deposited from Problem 3, you have 50% placed into a savings account. How much is deposited in the saving account each month?
Answers
Answer:
38.92 dollars
Step-by-step explanation:
what is the hcf of 11, 13 and 5
Answers
Answer:
1
Step-by-step explanation:
The factors of 5 are: 1, 5
The factors of 11 are: 1, 11
The factors of 13 are: 1, 13
Therefore the greatest/highest common factor is 1.
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.2 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 23 samples is 6.4 ppm with a standard deviation of 0.7. Assume the population is normally distributed. A level of significance of 0.02 will be used. State the null and alternative hypotheses.
Answers
Answer:
H0 : μ = 6.2
H1 : μ ≠ 6.2
Step-by-step explanation:
Population mean, μ = 6.2 ppm
The hypothesis :
Null, H0 : = The mean level of Ozone is normally 6.2 ppm ;
The alternative hypothesis is the researcher's claim that the current ozone level is not normal, that is it may be higher or lower than the normal value in ppm
Hence, the hypothesis could be written as :
H0 : μ = 6.2
H1 : μ ≠ 6.2
Find the rate, or percent, for each of the following items. Round your answers to the nearest 0.1%.
Base 72; percentage 12
Percentage 28; base 224
Base 20; percentage 40
Base 44; percentage 99
Percentage 126; base 8400
Answers
Answer:
The percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.
Step-by-step explanation:
To find the rate, or percent, for each of the following items, the following calculations must be performed:
1) Base 72; percentage 12 = 12/72 = 0.1666 x 100 = 16.6
2) Percentage 28; base 224 = 28/224 = 0.125 x 100 = 12.5
3) Base 20; percentage 40 = 40/20 = 2 x 100 = 200
4) Base 44; percentage 99 = 99/44 = 2.25 x 100 = 225
5) Percentage 126; base 8400 = 126/8400 = 0.015 x 100 = 1.5
Therefore, the percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.
Answer:
Step-by-step explanation:
in the circl below, AD is diameter and AB is tangent at A. Suppose mADC=228*, find the measures of mCAB and mCAD. Type your numerical answers without units in each blank.
Answers
Given:
AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.
To find:
The [tex]m\angle CAB[/tex] and [tex]m\angle CAD[/tex].
Solution:
AD is diameter of the circle. So, the measure of arc AD is 180 degrees.
[tex]m(arcADC)=m(arcAD)+m(arcDC)[/tex]
[tex]228^\circ=180^\circ+m(arcDC)[/tex]
[tex]228^\circ-180^\circ+=m(arcDC)[/tex]
[tex]48^\circ+=m(arcDC)[/tex]
The measure inscribed angle is half of the corresponding subtended arc.
[tex]m\angle CAD=\dfrac{1}{2}\times m(arcDC)[/tex]
[tex]m\angle CAD=\dfrac{1}{2}\times 48^\circ[/tex]
[tex]m\angle CAD=24^\circ[/tex]
AB is the tangent. So, [tex]m\angle BAD=90^\circ[/tex] because radius is perpendicular on the tangent and the point of tangency.
[tex]m\angle BAD=m\angle CAB+m\angle CAD[/tex]
[tex]90^\circ=m\angle CAB+24^\circ[/tex]
[tex]90^\circ -24^\circ=m\angle CAB[/tex]
[tex]66^\circ=m\angle CAB[/tex]
Therefore, [tex]m\angle CAB=66^\circ[/tex] and [tex]m\angle CAD=24^\circ[/tex].
9. How many perpendiculars can we draw to a line from a given point outside the line?
O A. 3
O B. 2.
O C.O
D. 1
Answers
Answer:
The answer is D. 1. You can form only 1 perpendicular line.
4x-5y+2x+4+6+9y+7x+2
Answers
Answer:
[tex]13x+4y+12[/tex]
Step-by-step explanation:
Combine all the like terms & then solve:
[tex](4x+2x+7x)+(-5y+9y)+(4+6+2)[/tex]
[tex]13x+4y+12[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]4x - 5y + 2x + 4 + 6 + 9y +7 x + 2[/tex]
Combining like terms, we have
= [tex] \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)[/tex]
= [tex] \: 13x + 4y + 12[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Help and explain pleaseeeeeeeeee
Answers
Answer:
if f(n) = 4n + 7 and g(n) = 2n + 3, find (g-f)(n)
-2n - 4
f(x) = 2x - 3 and g(x) = 5 - 2x, find f/g (x)
2x - 3 / 5 - 2x
Step-by-step explanation:
Please help as soon as possible! Round your answers to one decimal place, if necessary. Find the mean and median of these data: 2, 5, 13, 15, 18, 20. tysmmm!
Answers
Answer:
Mean= 12.2
Median= 14
Step-by-step explanation:
The mean of the data can be calculated as follows
= 2+5+13+15+18+20/6
= 73/6
= 12.2
Mean= 12.2
The median can be calculated as follows
Arrange the numbers in an orderly way
2, 5, 13, 15, 18, 20
= 13+15/2
= 14
Median= 14
HELP ASAP!! ILL MARK BRAINLIEST! David recorded the ages, in years, of the members of four high school clubs. Each club has the same number of members. A brief description of David’s data is shown.
Music Club: This club has the same number of members older than 16 and younger than 16.
Physics Club: This club has the greatest number of older members.
Sports Club: This club has the greatest number of younger members.
History Club: This club has the oldest member enrolled.
David then made box plots showing his data. Match the labels of the clubs to the box plots. Drag and drop each club into the indicated rectangles.
Answers
Answer:
Music club last box
Reason: There are equal number if members
Physics club first box
Reason: There are more older than young people
Sports Club third box
Reason: There are more younger people than older people
History Club takes the second box
Step-by-step explanation:
Hope this helps please like and mark as brainliest
2. What is the slope of the line 2x + y = 8?
Answers
Answer:
Using the slope-intercept form, the slope is 2 .
si alguien me ayuda en esta doy coronita
Answers
Answer: yuh Step-by-step explanation: yuh
Answer:
11/8, 7/4, 8/2
someone reported me
given a rectangular has a length of 58.5 m and widht of 45 m. Draw a diagram with scake if givrn scale drawing is 1 cm:9m
Answers
Answer:
In picture
Step-by-step explanation:
Brainliest please
what is the circumference of a circle diameter of 6 feet?use 3.14 for n
Answers
Answer:
18.84 feet.
Step-by-step explanation:
The formula for the circumference of a circle is:
2Pi*radius
The radius would be half the diameter so 3.
2*3.14*3
Help! Will mark brainliest!!!!
Answers
Answer:
(6x²+13x+6) ÷ (2x+3) sq in
Step-by-step explanation:
Volume = base × height
6x³+13x²+6x = (2x²+3x)h
Divide both sides by (2x²+3x)
(6x³+13x²+6x) ÷ (2x²+3x) = (2x²+3x)h ÷(2x²+3x)
By Factorization
x(6x²+13x+6) ÷ x(2x+3) = h
h= (6x²+13x+6) ÷ (2x+3)
Therefore the height of the prism is (6x²+13x+6) ÷ (2x+3) sq in
could someone help me with this please?
Answers
EXPLANATION:
The formula for the area of a trapezium is:
(a + b) ÷ 2 • h
Where a & b are the 2 bases and h is height.
Use formula with given dimensions:
(15.6 + 6.3) ÷ 2 • 8.5 = 93.075
The area is measured in square centimeters in this case: 93.073 square centimeters
Hope this helps!
The Tetrahedron Superyacht designed by Jonathan Schwinge is a regular tetrahedron with edges 20 m
long. The distance r from one corner to the center of the base (shown in the picture below) is 11.5 m.
pecial rig
What is the vertical height h of the tetrahedron?
Round your answer to the nearest tenth of a meter.
% 4 day
h
m
Answers
Answer:
16.36 the proof is in the picture
Step-by-step explanation:
Which answer can be used to find the solution to the system of equations?
Answers
Answer: is b
Step-by-step explanation:
A rectangle has a length that is 8 less than it’s width w the perimeter is 52 which equation can be used to determine length
Answers
Answer:
width?
8-W-52
2(w-8) +2w=52
(W-8)+W=52
2(8-W) +2w=52
In a pie chart the central angle in degrees at the center of the circle is a) 180 b) 360 c) 270 d) 90
Answers
Answer:
(b) 360 degrees
Step-by-step explanation:
Required
The central angle
The central [tex]angle[/tex] of a circle is [tex]360^o[/tex]. This implies that the central [tex]angle[/tex]of the pie chart is also [tex]360^o[/tex], because a pie chart is always in [tex]form[/tex] of a [tex]circle.[/tex]