Answers
Answer:
Step-by-step explanation:
Given:
m∠1 = 65°
Since. ∠1 and ∠2 are the angles of linear pair,
m∠1 + m∠2 = 180°
65° + m∠2 = 180°
m∠2 = 115°
m∠1 = m∠3 [Vertical angles]
m∠3 = 115°
Since, ∠1 and ∠4 is the linear pair of angles,
m∠1 + m∠4 = 180°
65° + m∠4 = 180°
m∠4 = 180 - 65 = 115°
m∠4 + m∠5 = 180° [Consecutive interior angles between the parallel lines]
115° + m∠5 = 180°
m∠5 = 180° - 115° = 65°
m∠5 + m∠6 = 180° [Linear pair of angles]
65° + m∠6 = 180°
m∠6 = 115°
m∠5 = m∠7 [Vertical angles]
m∠5 = m∠7 = 65°
m∠6 = m∠8 [Vertical angles]
m∠6 = m∠8 = 115°
Related Questions
What is the equation of the line that passes through the points (−2,4) and (0,3)?
Answers
Answer:
y=-1/2x+3
Step-by-step explanation:
The function r(x) = –0.000345(x – 50)2 + 2.1 can be used to model the curve of a road designed to allow for water to run off in rainstorms depending on the distance from the shoulder of the road, x, in feet. A European firm studying these curves is going to convert feet to meters using the function m(x) = 0.3048x. Which composition can be used to model the curve of the road in terms of meters?
Answers
Answer:
- 0.000105156(x - 50)² + 0.64008
Step-by-step explanation:
Given the curve function model : -0.000345(x - 50)² + 2.1 ; Which is measured in feets :
To convert the curve model in feets to metres +, using the function :
m(x) = 0.3048x
Multiply m(x) by r(x)
Hence,
m(r(x)) = 0.3048(-0.000345(x - 50)² + 2.1)
m(x) = - 0.000105156(x - 50)² + 0.64008 ; measured in meters
Solve for x and y.
(please help asap)
Answers
Answer:
x = 4
y = 1
Step-by-step explanation:
At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°
∵ The sum of the interior angles of a triangle is 180°
∴ 52° + 90° + (6x + 14y)° = 180°
→ Add the like terms
∴ 142° + (6x + 14y) = 180°
→ Subtract 142° from both sides
∴ (6x + 14y)° = 38° ⇒ (1)
→ By using the two triangles
∵ The two triangles are congruent
∴ (15x - 8y) = 52° ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by 5 and equation (2) by -2 to make the
coefficients of x equal in values and different in signs
∵ 5(6x + 14y) = 5(38)
∴ 30x + 70y = 190 ⇒ (3)
∵ -2(15x - 8y) = -2(52)
∴ -30x + 16y = -104 ⇒ (4)
→ Add equations (3) and (4) to eliminate x
∵ 86y = 86
→ Divide both sides by 86 to find y
∴ y = 1
→ Substitute the value of y in equation (1) to find x
∵ 6x + 14(1) = 38
∴ 6x + 14 = 38
→ Subtract 14 from both sides
∴ 6x = 24
→ Divide both sides by 6
∴ x = 4
Some friends went to dinner. They left a 15% tip. If their meal cost was $28.00, what was the
amount of tip they left?
Answers
Answer:
$4.20
Step-by-step explanation:
0.15 x $28.00=$4.20.
Which division problem does the number line below best illustrate?
A number line going from 0 to 2 in increments of 0.2.
2 divided by one-fifth = 10
1 divided by one-fifth = 10
2 divided by one-tenth = 5
1 divided by one-tenth = 5
Answers
Answer:
A
Step-by-step explanation:
Hope this helps!!!!!!!!!!!!!!!!!!:)
Answer:
is it C OR A
Step-by-step explanation:
Estimate the sum 59.6 + 51.4
Answers
Answer:
111
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3? (1 point)
x less than or equal to 6
6 greater than or equal to x
A number line with a closed circle on 6 and shading to the left
A number line with a closed circle on 6 and shading to the right
Answers
Answer:
A number line with a closed circle on 6 and shaded to the right.
Step-by-step explanation:
Answer:a number line with a closed circle on 6 and shading to the right
Step-by-step explanation:I think I’m right! Good luck
-5(x) = -4x - 11
please help i don’t understand i need to evaluate the function
Answers
Answer:
x=11
Step-by-step explanation:
-5x=-4x-11
-5x+4x=-11
-x=-11
x=11
help awnser attach the awnser using image
Answers
Step-by-step explanation:
Hey there!
The given points are; (-4,-1) and (4,2).
Use slope formula.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{2 + 1}{4 + 4} [/tex]
Simplify it.
[tex]m = \frac{3}{8} [/tex]
Therefore, the slope is 3/8.
Hope it helps...
A can run 3 miles in 30 minutes. How long will it take
the runner to run 2.5 miles? Use the diagram to explain.
Answers
Answer:
It will take her about 25 minutes.
Step-by-step explanation:
30 divided by 3 is ten.
It takes ten minutes to run each miles.
I don't have a diagram, but try drawing a graph with the information.
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEe
Answers
Answer:
-140 = x
Step-by-step explanation:
Answer:
-140 =x
Step-by-step explanation:
we want to factor the following expression 3x^2-16y^5 which pattern can be used to factor the expression U and V are either constant integers or single variable expressions
Answers
Answer: we cant use any patterns
Step-by-step explanation:
What is the lcm of 12 & 9 pls help im in class and i dont have a clue
Answers
Answer:
36 is the lcm of this question
Tell whether the ratios form proportions
4:20 and 6:30
9/18,3/8
Answers
9514 1404 393
Answer:
yesnoStep-by-step explanation:
1) Each of the ratios can be reduced to 1 : 5, Since both can be reduced to the same ratio, the do form a proportion.
4 : 20 = 1 : 5
6 : 30 = 1 : 5
__
2) The first ratio can be reduced to 1/2. The second ratio is not 1/2 and cannot be reduced. Since they are different ratios, they do not form a proportion.
9/18 = 1/2
3/8 = 3/8
Can you solve Please ASAP!
Answers
Answer:
x = 7/12
Step-by-step explanation:
Write the expression in exponential form with the base of 2
[tex]2x^{3x-3}[/tex] = [tex]32^{3x-2}[/tex]
[tex]2^{3x-3}[/tex] = [tex]2^{15x-10}[/tex]
Since the bases are the same, set the exponents equal
x - 3 = 15 - 10
Move variable to the left-hand side and change its sign
3x - 15x - 3 = -10
Move constant the the right-hand side and change its sign
3x - 15x = -10 + 3
Collect like terms
-12x = -10 + 3
Calculate the sum
-12x = -7
Divide both sides o the equation by -12
x = 7/12
Solution
7/12
Alternate form
x = 0.583
Write the equation of the line in slope-intercept form containing the point (2,4) and with a slope of
3/2.
Answers
Answer:
y=3/2x+1
Step-by-step explanation:
y=mx+b is the slope-intercept form
y=3/2x+b
we are looking for b now
plug in the points you provided
2=x, 4=y
4=3/2(2)+b
4=3+b
b=1 which is the intercept
Tell whether the equation has one, zero, infinitely many solutions.
3 ( y-2) = 3y - 6
Answers
infinitely many solutions
Step-by-step explanation:Hi there !
3(y - 2) = 3y - 6
3y - 6 = 3y - 6 | + 6
3y = 3y
true ∀ y ∈ R
Good luck !
Three years ago, Jolene bought $500 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12 1 2 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)
Answers
Answer:
The stock is worth $702.5.
Step-by-step explanation:
Giving the following information:
Present Value= $500
Number of periods (n)= 3 years
Growth rate (i)= 12%
To calculate the value of the stock today, we need to use the following formula:
FV= PV*(1+i)^n
FV= 500*(1.12^3)
FV= $702.5
The stock is worth $702.5.
can some one plz help me with a queston i posted
Answers
Answer:
ok what is it
Step-by-step explanation:
If 5x+1=-14, find the value of 3x+1.
Next question; If 4(s+2)-2=22, find the value of 3s+2.
Thank you!!! If you could answer this quickly pls.
Answers
5x+1=-14
-1 -1
Subtract one on both sides and you will have:
5x=-15
Now divide by five to get x by itself
5x/5=-15/5
x=-3
Now plug that in to 3x+1
3x+1=
3(-3)+1=
-9+1=
-8
Now for the next question 4(s+2)-2=22, you are trying to find the value of s to find the value of 3s+2. So you want to distribute the 4 to the s and to the two:
So 4(s) + 4(2) - 2 = 22
You will get:
4s+8-2=22
Simply:
4s+6=22
Subtract six from both sides of the equation
4s=16
Divide four on both sides to get s by itself:
4s/4 = 16/4
s=4
Plug that in to the second equation:
3s+2=
3(4)+2=
12+2=
14
Hope this helps!
The quotient of –125 and 5 is
.
The quotient of –264 and –12 is
.
The quotient of 0 and –350 is
.
The quotient of 276 and –8 is
.
Answers
Answer:
1= -25
2= 22
3= 0
4= -34.5
Answer:
1 negative
2 positive
3 zero
4 negative
Step-by-step explanation:
Hope this helps :D
Amy can run the 150 meter dash in 50 seconds. John can run 1200 meters in 400 seconds. How fast does Amy run. How fast does john run?
Answers
Answer:
Amy and John both run 3 meters in 1 second
Step-by-step explanation:
Amy: 150/50=3 meters in 1 second
John: 1200/400=3 meters in 1 second
Round the factors and estimate the products.
a.
656 x 106 -
น
b. 3,108 x 7,942 -
C.
425 x 9,311 -
what is this i wanna drop out
Answers
Answer:
a. 70,000
b. 24,000,000
c. 3,600,000
Step-by-step explanation:
You round all the numbers and multiply the rounded numbers.
So...
a. 656 = 700
106 = 100
7000*100= 70,000
b. 3108 = 3000
7942 = 8000
3000*8000= 24,000,000
c. 425 = 400
9311 = 9000
400*9000= 3,600,000
A fishing boat with two people on it runs out of gas while out in a bay. The people set off an emergency flare from a height of 2 meters above the water. The flare has an initial vertical velocity og 30 meters per second. How long does it take the flare to reach its maximum height? What is that height?
Answers
Answer:
Step-by-step explanation:
time taken to reach the max height is expressed according to the projectile equation;
tmax = u/g
Given u = 30m/s
g is the acceleration due to gravity = 9.81
t = 30/9.81
t = 3.0secs
hence it will take the flare 3.06secs to reach its maximum height.
Max height = u²/2g
Max height = 30²/2(9.81)
Max height = 900/19.62
Max height = 45.87m
If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m
An art museum had 275,760 visitors last year. The museum was open every day of the year except for 5 holidays. How many visitors did the museum have each day, on average?
Answers
Answer:766 people on average because 275,760 divided 360 because 365=1 year 365-5=360 and 275760/360=766
Step-by-step explanation:
can u simplify 18/56 into a fraction?
Answers
Answer:
9/28
Step-by-step explanation:
just divide by 2
Answer: 9/28
Steps: 18/56
Factor the number: 8 = 2 · 9
Factor the number: 56 = 2 · 28
Cancel the common factor: 2
9/28
Plz mark brainliest:)
what is the average rate of change for the line graphed in the figure above
Answers
Answer:
5/8
Step-by-step explanation:
I used the slope formula of y2-y1/x2-x1
k(x) = (x + 1)2 – 25
What would this be rewritten in factored form?
Answers
Answer:
[tex]k(x)=(x-4)(x+6)[/tex]
Step-by-step explanation:
[tex]k(x)=(x+1)^2-25\\\\[/tex]
to factorize it you have to remember the difference of squares that says
[tex]a^2-b^2=(a-b)(a+b)[/tex]
so we have
[tex](x+1)^2\\\\(x+1)^2=a^2\\\\25\longrightarrow 5^2\\\\5^2=b^2\\\\[/tex]
and we apply the formula
[tex](x+1)^2-25=[(x+1)-5][(x+1)+5]\\\\=(x+1-5)(x+1+5)\\\\=(x-4)(x+6)[/tex]
so there you have it
[tex]k(x)=(x-4)(x+6)[/tex]
3/4 + 5/6 divided by 2/3
Answers
Answer:
2
Step-by-step explanation:
Answer:
Hello
Step-by-step explanation:
The awnser to your question is 2
Find the area of the whole triangle . Show all work.
Answers
Answer:
44 i believe
Step-by-step explanation: