guys please help...........................................................................
Answers
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-We have given two parallel lines and two lines intersecte each other and act as a transverse Due to the intersection between two parallel and two traverse lines a triangle is formed. The measurements of the given triangle are 60° , 20° and C To Find :-We have to find the values of angles A, B and C Let's Begin :-Here, we have
1 triangle whose measures are 60° , 20° and CTherefore,By using Angle sum property
ASP states that the sum of all angles of triangles are equal to 180°That,
[tex]\bold{\angle{X + }}{\bold{\angle{Y + }}}{\bold{\angle{Z = 180}}}{\degree}[/tex]
Subsitute the required values,
[tex]\sf{ 60{\degree} + 20{\degree} + C = 180{\degree}}[/tex]
[tex]\sf{ 80{\degree} + C = 180{\degree}}[/tex]
[tex]\sf{ C = 180{\degree} - 80{\degree}}[/tex]
[tex]\sf{ C = 100}{\degree}[/tex]
Thus, The value of C is 180°
Now,We have to find the measurement of Angles A and B
Here,
Angle B , unknown angle and Angle C lie on a straight line and we know that the angle formed by straight line is 180°Let the unknown angle be x which is equal to 20° ( Alternative interior angles) Therefore,[tex]\sf{\angle{B + }}{\sf{\angle{ x + }}}{\sf{\angle{C = 180}}}{\degree}[/tex]
[tex]\sf{\angle{ B + 20{\degree}+ 100{\degree} = 180{\degree}}}[/tex]
[tex]\sf{\angle{ B + 20{\degree} = 180{\degree}- 100{\degree}}}[/tex]
[tex]\sf{\angle{ B = 80{\degree} - 20{\degree}}}[/tex]
[tex]\sf{\angle{ B = 60{\degree}}}[/tex]
Now, A, B and 100° lie on a straight line and we know that the angle formed by straight line is equal to 180°Therefore ,[tex]\sf{\sf{A + }}{\sf{\angle{B + }}}{\sf{ 100{\degree} = 180}}{\degree}[/tex]
[tex]\sf{\angle{ A + 60{\degree} = 180{\degree} - 100{\degree}}}[/tex]
[tex]\sf{\angle{ A = 80{\degree} - 60{\degree}}}[/tex]
[tex]\sf{\angle{ A = 20{\degree}}}[/tex]
Hence, The measure of Angles A, B and C are 20° , 60° and 100° .
Related Questions
Hello people ~
The sides of a triangle are 5, 12 & 13 units. Check if it has a right angle or not.
Answers
Step-by-step explanation:
The sides of triangle are 5,12 and 13
Here, the greatest side is 13
Therefore,
13²=5²+12²169=25+144169=169 (True)Hence, these sides will form a right angled triangle.
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
To check if the triangle is congruent or not, we have to see if they form Pythagorean triplet, that is :
sum of squares of smaller sides should be equal to square of the longest side.
let's check it out ~
[tex]\qquad \sf \dashrightarrow \: {5}^{2} + 12 {}^{2} = {13}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: {25}^{} + 144 = 169[/tex]
[tex]\qquad \sf \dashrightarrow \: 169= 169[/tex]
Therefore, the sides 5, 12 and 13 forms a right angle.
what quadrilateral is this
Answers
" First of all, this is a hexagon which has 6 sides and 6 angles "
It is usually referred as regular Hexagon.Answer:
Step-by-step explanation:
This is NOT a quadrilateral as the shape has 6 sides with 2 pairs of them parallel to each other. All quadrilaterals have 4 sides instead.
please help me out !
Answers
Answer:
NO
Step-by-step explanation:
Try the offered solution to see if it works
y = 1/2x -7 . . . . for (x, y) = (-4, -5)
-5 = 1/2(-4) -7 = -2 -7
-5 = -9 . . . . . . false
The point does not satisfy the function. (NO)
Select the correct answer. Consider the function f(x) = 10x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? A. The graph of g(x) is the graph of f(x) shifted up by a factor of . B. The graph of g(x) is the graph of f(x) compressed vertically by a factor of . C. The graph of g(x) is the graph of f(x) stretched vertically by a factor of . D. The graph of g(x) is the graph of f(x) shifted to the right by a factor of .
Answers
Answer:
most likely 43
Step-by-step explanation:
fr.
Solve the proportion. i need help.
x+3/6=8/3
x=?
Answers
Answer:
x = 2 1/6 (13/6)
Step-by-step explanation:
to solve the proportion you must first find the LCF or least common factor
that is 6
so turn 8/3 into 16/6 by multiplying it by 2/2
x + 3/6 = 16/6
then you subtract 3/6 from both sides
x = 13/6
x is 2 1/6
Hope the attachment helps
A real estate builder wishes to determine how house size (House) is influenced by family income (Income), family size (Size), and education of the head of household (School). House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is in years. The builder randomly selected 50 families and ran the multiple regression. The business literature involving human capital shows that education influences an individual’s annual income. Combined, these may influence family size. With this in mind, what should the real estate builder be particularly concerned with when analyzing the multiple regression model?
Answers
When analyzing the multiple regression model, the real estate builder should be concerned with Multicollinearity.
What is Multicollinearity?This is a phenomenon in regression analysis where some of the independent variables are correlated. This can present an issue because the correlation leads to less reliable results.
The income in this research is influenced by the education and they both influence family size. There is therefore an issue of multicollinearity here because some variables are correlated.
Find out more on Multicollinearity at https://brainly.com/question/16021902.
Which expression represents the value, in dollars, of a certain number of quarters, q, and dimes, d?
0.35qd
0.35q + d
0.10q + 0.25d
0.25q + 0.10d
I am in middle school.
Answers
There are 36 squares on each red and white checkered tablecloth. How many squares are there on 7,011 tablecloths
Answers
Answer:
36 squares per table cloth, so;
36 x 7,011 = 252,396, there are 252,396 squares.
Circle E has a radius of 5.3 meters.
F
G
¯
is a chord and
H
E
↔
is a perpendicular bisector of
F
G
¯
. If FG = 7.3 meters, calculate the distance of IH .
Answers
Answer:
1.46m
Step-by-step explanation:
construction ; join EF
we know that EF is a radius, so EF = 5.3m
In triangle EFH,
∡EHF = 90° (EH is the perpendicular bisector of GF)
FH = FG/2 = 7.3m / 2 = 3.65m (EH is the perpendicular bisector of GF)
According to pythagoras theorem,
FH² + EH² = EF²
3.65² + EH² = 5.3²
EH² = 5.3² - 3.65²
EH² = 28.09 - 13.32 = 14.77m
EH = √14.77m
EH = 3.84m
EI is a radius, so EI = 5.3m
IH = EI - EH
= 5.3m - 3.84m
= 1.46m
Jasmine bought a 4 kg block for modeling clay she wants to divide it into eight equal blocks what will the mass of each block in grams
Answers
Answer:
The mass of each block is 500 grams.
Step-by-step explanation:
4 kg = 4000 grams
Now we divide,
4000 / 8 = 500
Our final answer should be 500.
Gabriel is building a flower box for his garden. He is building a cube
without a top so that he can fill it with soil. He needs to calculate
the surface area to determine how much wood he needs. The
length of the box is 3 feet.
Which expression will give him the surface area?
O 3x3x6
O 3x3x3
O 3x3x5
O 3+3+3
Answers
Answer: 3*3*5 because each square is 3 by 3 and there are 5 faces which you need wood on -> there is no top face.
If jake runs 3 miles in 36 minutes how many miles could he run in 60 minutes
Answers
Answer:
5 miles
Step-by-step explanation:
We will use the method of cross multiplying and dividing.
You will multiply 60 x 3
Then, take the answer (180) and divide it by 36.
That will give you 5 and your answer.
Which equation represents a linear function?
Answers
Answer:
D)y=1/4x
Step-by-step explanation:
Its the only answer that is a straight line
Answer:
(D) y = 1/4x
Step-by-step explanation:
(A) is incorrect because that is an absolute value function. This causes the graph to look like a sharp "v".
(B) is incorrect because that is an exponential function. This is because the "x" is raised to the second power. The graph would resemble a "u".
(C) is incorrect because that is an exponential function. This is because the "x" is raised to the third power. The graph would resemble a "u".
(D) is correct because the "x" is only raised to the first power. The base equation for a linear function is y = mx + b. The graph would resemble a straight line.
Describe a system of equations that has infinitely many solutions.
Linear equations
Answers
Answer:
when the lines are coincident, and they have the same y-intercept
Step-by-step explanation:
Can anyone solve this?
Answers
Answer:
x = 8cm
Step-by-step explanation:
x = 3cm + 5cmx = 8cm#IhopeThisHelp
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 510 miles on 20 gallons of gas. How far could you drive on 65 gallons of gas?
Answers
Answer:
The answer is 1,657.5 miles
Step-by-step explanation:
First divide 510 by 20 510 ÷ 20 = 25.5 into 65 = 1657.5
Given that test of a new car results in 510 miles on 20 gallons of gas. By unitary method, you can drive miles on 65 gallons of gas.
Unitary method is a method of solving a problem wherein to find the value of k units, you first calculate the value of one item, then multiply the value of the one item to k.
Given in the question,
distance covered in 20 gallons of gas = 510 miles
distance covered in 1 gallons of gas = [tex]\frac{510}{20} = 25.5[/tex] miles
distance covered in 65 gallons of gas = 25.5 * 65 miles = 1657.5 miles
Learn more about unitary method here
https://brainly.com/question/28276953
#SPJ2
What is the value of 1/2 (4)
Answers
Answer:
2
Step-by-step explanation:
We are being asked to multiply the fraction 1/2 * 4
1/2 *4
4/2
Simplify by dividing the top and bottom by 2
2/1
2
I WILL GIVE 100COINS
Answers
#1
10,7.5,9,12,7.5,8[tex]\\ \rm\Rrightarrow Mean=\dfrac{10+7.5+7.5+9+12+8}{6}=\dfrac{54}{6}=9[/tex]
#2
12,12,11.5,11.5,12.5,13[tex]\\ \rm\Rrightarrow Mean=\dfrac{12+12+11.5+11.5+12.5+13}{6}=72.5/6\approx 12[/tex]
Hello I need help on this math question
BRAINLIEST For the fastest correct answer
Lateral Area = 37.68 in squared
Total surface area =
Answers
Answer:
94.2 in squared
Step-by-step explanation:
lateral area plus area of both flat sides
37.68 + 2(3.14*3^2)
37.68 + 56.52 = 94.2 in squared
How many solutions does the system of equations in the graph have? Help ASAP!
Answers
Answer:
There is one solution.
Step-by-step explanation:
There is one intersection.
Jess is having a private party at the bowling alley. The party costs $99 plus $3 per person who attends. Which expression can Jess use to figure out the total amount of money she owes at the end of the party?
EXPLAIN YOUR ANSWER
33x
33+x
99+3x
99x+3
Answers
Answer:
99+3x
Step-by-step explanation:
99+3x completely shows the party's situation. $99 for the party itself "plus" $3 for everyother person who attends. A. 33x forgets the 99 dollars for the party, B. does the same except it adds the x variable, D is inccorect becuase it multiplies the other guest by 99 but they should be multiplied by 3.
I hope this helps! If so pleas emark brainliest and rate<33
Answer:
99+3x
Step-by-step explanation:
Given the following:
The party costs $99 plus $3 per person who attends.To Solve:
⇒ Which expression can Jess use to figure out the total amount of money she owes at the end of the party?
Solution:
Since, we don't know the total amount of money she owes at the end of the party. Total amount of money she owes at the end of the party = x
Hence, $99 plus $3 (x)
Which equal
99+3x
Also, 33x, 33 + x, and 99x+3 didn't clearly shows the party's situation given. Hence, the Best Answer is 99+3x
You can also refer to the picture below
~Learn with Lenvy~
An amount of $24,000 is borrowed for 7 years at 8.75% interest, compounded annually. If the loan is paid in full at the end of that period, how m
paid back?
Use the calculator provided and round your answer to the nearest dollar.
Answers
Answer:
43173
Step-by-step explanation:
24000(1.0875)^7 = 43173.39
9168 divided by 24 long division
Answers
Answer:
382
Step-by-step explanation:
HELP 100 POINTS The population of a city is modeled with the function P=250,000e^0.013t, where t is the number of years since 2000. In what year will the population reach 450,000?
Answers
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
450000 = 250000e^0.013t
Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
1.8 = e^0.013t
Now take natural log of both
Ln(1.8) = ln(e^0.013t)
Ln(1.8) = 0.013t*ln(e)
Ln(1.8) = 0.013t * 1
Now solve for t
Ln(1.8)/0.013 = t
T= 45.21435 years
Now just to check our work plug that into original equation which we get:
449999.94 which is basically 500k (just with an error caused by lack of decimals)
So our final solution will be in the 45th year after about 2 and a half months it will reach 450k people.
5(b + 3)
I think that this question is really hard for some reason
Answers
Answer: 5(b+3) is b = 3
Step-by-step explanation:
1) 5(b+3) - distribute
2) 5b = 15
3) [tex]\frac{5b}{5} =\frac{15}{5}[/tex] - divide
4) b = 3 - solution
Mrs. Adesso wants to take her class on a trip to either the science center or the natural history museum. The science center charges $7 per student, plus $75 for a guided tour. The natural history museum charges $8 per student, plus $50 for a guided tour. For what number of students is the cost of the trip the same at each museum?
Answers
Answer:
25
Step-by-step explanation:
see picture for work!
What is the following quotient? startfraction 2 over startroot 13 endroot startroot 11 endroot endfraction startroot 13 endroot minus 2 startroot 11 endroot startfraction startroot 13 endroot startroot 11 endroot over 6 endfraction startfraction startroot 13 endroot startroot 11 endroot over 12 endfraction startroot 13 endroot minus startroot 11 endroot
Answers
A quotient is a quantity that is obtained by dividing two integers. The quotient of the division [tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex] is (√13-√11).
What is a quotient?A quotient is a quantity that is obtained by dividing two integers. The quotient is a term that is widely used in mathematics to refer to the integer component of a division, as well as a fraction or a ratio.
In order to find the quotient of the fraction, we need to take the rationalise of the fraction.
[tex]\dfrac{2}{\sqrt{13}+\sqrt{11}} \\\\\\ =\dfrac{2}{\sqrt{13}+\sqrt{11}} \times \dfrac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}\\\\\\= \dfrac{2(\sqrt{13}-\sqrt{11})}{(\sqrt{13})^2-(\sqrt{11})^2}\\\\\\= \dfrac{2(\sqrt{13}-\sqrt{11})}{2}\\\\=(\sqrt{13}-\sqrt{11})[/tex]
Hence, the quotient of the division [tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex] is (√13-√11).
Learn more about Quotient:
https://brainly.com/question/730603
Answer:
D.) StartRoot 13 EndRoot minus StartRoot 11 EndRoot
Step-by-step explanation:
on edge took the test .
what is the factored form of x^2-x-2
Answers
Answer:
(x-2),(x+1)
Step-by-step explanation:
Can someone help me with this question? I’ll mark you brainliest if you answer!!!
Answers
Twelve disks with the given measurements are stacked on top of each other. Which expression does NOT give the volume of the cylinder that is formed?
Answers
Answer:
The answer is the top right corner. (pi* 3* 12^2)
I did this in TTM
Answer:
π⋅3⋅12^2
Step-by-step explanation: