The value of the angle x in the given set of parallel lines is 62°.
Given that are two lines m and n which are parallel to each other, a transversal line t intersecting the lines at one point each making angles measuring 118° and x, which are opposite to each other, x is on line n whereas 118° is on m,
We need to find the value of x,
Here, we can use the property of corresponding angles to find the value of x.
Corresponding angles are formed when a transversal intersects two parallel lines, and they are congruent (equal) to each other.
In this case, the corresponding angle to the 118° angle on line m is the supplement of angle x on line n.
Since the corresponding angles are equal, we can set up the equation:
180° - x = 118°
x = 62°
Hence the value of x is 62°.
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A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. billy incorrectly says that the speed of the car is 1/62
mile per hour. What is the speed of the car? What error might billy have made?
Answer: For time t ≥ 0 hours, let r(t) = 120 1 − e−10t2 represent the speed, in kilometers per hour, at which a ()
car travels along a straight road. The number of liters of gasoline used by the car to travel x kilometers is −x 2
modeled by g(x) = 0.05x 1 − e . ()
(a) How many kilometers does the car travel during the first 2 hours?
(b) Find the rate of change with respect to time of the number of liters of gasoline used by the car when
t = 2 hours. Indicate units of measure.
(c) How many liters of gasoline have been used by the car when it reaches a speed of 80 kilometers per
(a)
(b)
hour?
∫ 2 r (t ) dt = 206.370 kilometers 0
dg dg dx dx dt=dx⋅dt; dt=r(t)
2 : {1 : integral 1 : answer
3:{2:useschainrule
1 : answer with units
dg dt
t=2
dg
= dx ⋅r(2)
x=206.370
= (0.050)(120) = 6 liters hour
(c)
Let T be the time at which the car’s speed reaches 80 kilometers per hour.
Then, r(T ) = 80 or T = 0.331453 hours. At time T, the car has gone
x(T ) = ∫ T r (t ) dt = 10.794097 kilometers 0
and has consumed g(x(T )) = 0.537 liters of gasoline.
I WILL GIVE BRAINLY
Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes?
A. 2d – 5
B. 5 – 2d
C. d + (2 – 5d)
D. d + (2d – 5)
PLSSSSS SHOW YOUR WORK PLSSS
Answer:
D
Step-by-step explanation:
We will let d represent the amount of dimes Angela has.
Angel has 5 fewer quarters than twice the number of dimes.
Twice the number of dimes will be 2d.
Then, 5 fewer will yield 2d-5.
Therefore, the amount of quarters Angela has is 2d-5.
Then, the total amount of coins (dimes and quarters) together, will be:
[tex]d+(2d-5)[/tex]
The first part is the amount of dimes.
And the second part is, as we determined, the amount of quarters.
Therefore, our answer is D.
A wedding costs $2,460 for 20 guests. How much did the wedding cost per person?
Answer:
123 PER PERSON
Step-by-step explanation:
All you have to do is divide 2,460 by 20 to get 123
what is 3/4 divided by 1/2
Help Please!Solve For Z.
Answer:
Step-by-step explanation:
z = whole root (x^2 + 9)
Melissa ran at a constant speed of 509.056 meters in 62.08 seconds. How far did Melissa run in one second?
Answer:
8.2
Step-by-step explanation:
509.056/62.08
simplify each expression using the distributive property
9(-7q-6)
Answer:
-63q-54
Step-by-step explanation:
When using the distributive property, you multiply everything inside of the parentheses by the number outside of the parentheses.
9(-7q-6)
-63q-54
Hope this helps, and have a great day o(* ̄▽ ̄*)ブ
What is 200% of 190?
Identify the scale factor used to graph the
image below.
Need the answer asap!
Answer:
--> (-7)+3 = -4
--> (-5) +1=-4
-->(-3)+(-1)=-4
Answer:
(x+3)x(x-2)
Step-by-step explanation:
The graph below represents which system of inequalities? (2 points)
Oa
y> 2x-3
y> x-3
Ob
y< 2x- 2
y<-x+3
Oc
ys2x- 2
y>X+3
Od
None of the above
Answer: It is the None of them. If you see, one of the lines is Dotted, and one is solid. So, the Solid has either has ≤ or ≥ in it's equation. If the second option, and in the second option, the second equation has one of those signs, it would be correct, but it doesn't, so it's none of the above. I hope this didn't confuse you, and Happy Holidays! :)
Can somebody plz answer this math problem correctly thanks!
WILL MARK BRAINLIEST :D
Answer:
Ellen and Blake answered 20 questions correctly since Ellen had 0.8 correct and that is 80% same with Blake
Stephen scored a .84 or an 84%
I hope this helps :)
Step-by-step explanation:
plz mark B R A I N L I E S T
Answer:
Stephen: 21
Ellen: 20
Blake: 20
Step-by-step explanation:
If youre looking for more in depth answers:
Stephen received a 21 / 25 (84%)
Ellen received a 20 / 25 (80%)
Black received a 20 / 25 (80%)
Find the
measure of X given two triangles:
Answer:
The measure of angle x is 68°
Step-by-step explanation:
The isosceles triangle has two sides equal, the angle between these two sides is called the vertex angle, the other two angles are called the base angles and they are equal in measures
In the given figure
∵ An isosceles Δ has a vertex angle of measure 68°
∴ The other two angles are equal in measure ⇒ base angles
→ The sum of the measures of the interior angles of a triangle is 180°
∴ The sum of the measures of the base angles = 180° - 68°
∴ The sum of the measures of the base angles = 112°
→ Divide their sum by 2 to find the measure of each angle
∵ The measure of each base angle = 112° ÷ 2
∴ The measure of each base angle = 56°
∵ There are two intersected segments
∴ There is a pair of vertically opposite angles
∵ The other isosceles Δ has a vertex angle of measure x
∵ A base angle of the 1st Δ and a base angle of the 2nd Δ are vertically
opposite angles
∴ They are equal in measure
∴ The measure of the base angle of the 2nd Δ = 56°
∴ The two base angles are equal in measure
∴ The measure of each base angle is 56°
→ The sum of the measures of the interior angles of a triangle is 180°
∵ 56° + 56° + x = 180°
∴ 112° + x = 180°
→ Subtract 112 from both sides
∴ x = 68
∴ The measure of angle x is 68°
Section 1
Evelyn reads 25 pages in 30 minutes.
Number of Pages
25
400
Time (in minutes)
30
?
If Evelyn reads 400 pages at this same rate, how many minutes will it take her?
O 90 minutes
O 120 minutes
O 375 minutes
0 480 minutes
y varies inversely with x. If x = 5 and y= 1 what is x if y = 0.5
Type your answer..
X=2.5
Step-by-step explanation:
0.5=1/2
5/2 = 2.5
pls help thx and merry christmas and or happy Hanukkah
Answer:
3 3/4 yards of ribbon my dudeeee
Answer:
oof
Step-by-step explanation:
what does x equal and what are the angle measures?? help Asap
all triangles are 180 always. make a equation 2x+x+x+8 then combine like terms so it will be 4x+8 then divide by 4 on bith sides x=2
what is a relation?????????????????
Answer:
c.
Step-by-step explanation:
Please help me!! Thanks!
Answer: $30 and 1 cent more
$60.50 - $30.50 = $30
0.12 - 0.11 = 0.01
I hope this helps.
find the value for x!
Answer:
x=20
Step-by-step explanation:
3x+15=4x-5
20=x
I NEED HELP ASAP
Enter your answer by filling in the boxes to complete the equations that describe the calculation.
80 ÷ 5 = __ ÷ 5 + __ ÷ 5
= __ + 6
= __
Answer:
80 / 5 = 40 / 5 + 40 / 5 = 10 + 6 = 16
Step-by-step explanation:
80 / 5 = 16
__ / 5 + __ / 5
You can do 80 / 2 to fill in those two blanks because the answer needs to equal the same as 80 / 5
80 / 2 = 40
40 / 5 + 40 / 5
8 + 8 = 16
the third blank needs to also equal 16. So you can do 16 - 6 to know what fills in the blank.
16-6
10
10+6 = 16
The last blank must equal the same as all the other equations so 16 would fill it.
If you need further help, don't be afraid to reach out with any questions. I hope this helps!
Answer:
80/5= 50/5 + 30/5= 10 + 6= 16
You had some money and then spent $7.49. Now you have $6.21. How much
did you originally have? _____
Answer:
Step-by-step explanation:
7.49+6.21= 13.70
Hi! I need the answer for this problem asap! Thank you (:
Answer:
-14
Step-by-step explanation:
Help me with this question! Will mark brainliest
Answer:
D) y = 7x + 1
Step-by-step explanation:
Slope-incercept form is y = mx + b in which m = slope and b = y-incercept
The line crosses through (0,1), which means the y-intercept is 1
Plug the given numbers into that formula:
y = 7x + 1
PLEASE ANSWER PLEASESEE
Answer:
I’m pretty sure the answer to this would be 11- but it could also be eight so check that but I’m pretttyyyy sure it’s 11. I hope that helps you
Step-by-step explanation:
What expression is equivalent to (2a - 7) + 5(3 - a)
Answer:
Step-by-step explanation:
2a-7+15-5a
2a-5a-7+15
-3a+8
The expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We have been given an expression as;
(2a - 7) + 5(3 - a)
Therefore, solving it further;
2a-7+15-5a
Combine the like terms;
2a-5a-7+15
Then we get;
-3a+8
Hence, the expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8
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x2 – 11x + 5 = -2x
Solve equation to the nearest tenth
Answer:
x = 5/7 -> 0.714285 which to the nearest tenth would be 0.7
Step-by-step explanation:
is it x*2 or x^2?
If it were x to the power of two, then the answer would be about x1 = 0.594875 and x2 = 8.40512
Based on the scatter plot below, what is the most likely value for "Pounds of Apples" when "Number of Apples" is 80?
A. 42
B. 81
C. 158
D. 398
Help me quickly please!!!
Answer:
c hope this help
Step-by-step explanation:
Answer:
It’s A. 42
Step-by-step explanation:
help I suck at math lol
Answer:
14/8 = 1 3/4
48/9 = 5 1/3
Step-by-step explanation:
14/8 = 1 6/8
6/8 = 3/4
14/8 = 1 3/4
48/9 = 5 3/9
3/9 = 1/3
48/9 = 5 1/3
Find the sum
14.3 + 7.36 = ?
Answer:
21.66
Step-by-step explanation: