Given:
Lines DE and AB intersect at point C.
[tex]m\angle ACE=(2x+2)^\circ[/tex]
[tex]m\angle ECB=(5x+3)^\circ[/tex]
To find:
The value of x.
Solution:
In the given figure it is clear that the angles [tex]\angle ACE[/tex] and [tex]\angle ECB[/tex] are lie on a straight line AB.
[tex]m\angle ACE+m\angle ECB=[/tex] [Linear pair]
[tex](2x+2)^\circ+(5x+3)^\circ=180^\circ[/tex]
[tex](7x+5)^\circ=180^\circ[/tex]
[tex]7x+5=180[/tex]
Subtract 5 from both sides.
[tex]7x=180-5[/tex]
[tex]7x=175[/tex]
Divide both sides by 7.
[tex]x=\dfrac{175}{7}[/tex]
[tex]x=25[/tex]
Therefore, the correct option is B.
Answer:
x = 25
I did the same quiz and got it right thanks to the person on top that explained it really well..thank you
PLEASE HELP GIVING BRAINLY!
Answer:
Opposite angles are equal, all add to 360:
10x-7=83
10x=90
X=9
Z = (360-(83*2))
Z = 97
Solve the equation.
Solve the Equation
y + 3 = –y + 9
y = 1
y = 3
y = 6
y = 9
Answer:
y = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
y + 3 = -y + 9
Step 2: Solve for y
[Addition Property of Equality] Add y on both sides: 2y + 3 = 9[Subtraction Property of Equality] Subtract 3 on both sides: 2y = 6[Division Property of Equality] Divide 2 on both sides: y = 3Can someone please take a screenshot of this problem and send it. I could really use the help.
Answer:
5/12
Step-by-step explanation:
2/3 - 1/4
Get a common denominator of 12
2/3 *4/4 = 8/12
1/4 *3/3 = 3/12
8/12 - 3/12
5/12
Answer:
5 twelfth
Step-by-step explanation:
jajajajsjdjhueieiejdndnndnejejsnsndbbbenejeje
Y=(2x-5)(4x+1) expand
Answer:
8x² - 18x - 5
Step-by-step explanation:
2x (4x+1) -5(4x+1)
8x²+2x -20x-5
8x²-18x -5
[Will award brainliest if correct!] It takes a painter and his friend 8 hours to paint a room. if the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself?
Answer:
it would take him 10 hours
What is the missing value? The Volume is 5120 m^3
Answer:
32
Step-by-step explanation:
V=[tex]\pi[/tex]r^2
5120=[tex]\pi r^{2}[/tex]x20
5120/20 = 256
[tex]\sqrt{256}[/tex]=16
16+16 ( 16x2) = 32
32in.
Find the value of x:
Answer:
x=6
Step-by-step explanation:
The angles are alternate exterior angles, which are equal
19x-4 = 110
Add 4 to each side
19x -4+4 = 110+4
19x = 114
Divide by 19
19x/19 = 114/19
x=6
I think x=6............
Use The Cruise Ship room price Table To Determine The Percentile Rank Of $6,962
Answer:
Step-by-step explanation:
Use the cruise ship room price table in problem 7 above to determine the percentile rank of $6,962.
Data from problem 7:
Seaquoia River Cruises offers a 7-day travel package. The prices vary based on the room class booked, as indicated in the following spreadsheet:
Use the cruise ship room price table in problem 7 above to -1
Hope this answer helps you :)
Have a great day
Mark brainliest
What are the coordinates of point E ?
(2, 0)
(0, 2)
(2, 2)
(0, 0)
Check image to understand
Answer:
(0,2)
Answer B..............
Answer:
(0,2)
Step-by-step explanation:
there is nothing for the x-axis only y-axis which is on the right so it moves up by 2
Guys help my little sister with these questions:)))
Answer:
Card A: the eiffel tower is 20,313 taller than the pyramid of khafria
Card B: Josh site had 615 more than diego
Card C: 15,405 more to reach there goal
Step-by-step explanation:
Tell your sister i said your welcome
Answer:
Card A:
The Eiffel tower is 615 feet taller than the pyramid of Khafra.
1,063 - 448 = 615
Card B:
Josh site has 20,131 more visitors than Diego.
805,289 - 784,976 = 20,313
Card C:
The school needs to raise $15,405 during the spring fundraiser to reach it's goal.
$13.809 + $20.786 = $34,595
$50,000 - $34,595 = $15,405
Step-by-step explanation:
Have a nice day! :-)
A chemist is using 354 milliliters of a solution of acid and water. If 15.1% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
answers?
for my revision lol
Answer:
148cm²
Step-by-step explanation:
With the first frontal face of the cuboid, you have length 6 cm whilst the height remains 5 cm.
Find the area of this face and multiply the result by 2, as there are two of these faces (front and back)
6 x 5 = 30 cm²
30 x 2 = 60cm²
Do the same with the top face and bottom face, adding this with the side faces
4 x 6 = 24cm²
24 x 2 = 48cm²
4 x 5 = 20cm² x 2 = 40 cm²
40 + 48 + 60 = 148 cm²
T.S.A = 148cm²
Jim took out a loan for $500 . The rate is 8%. How much does Jim owe in interest if he plays it back in 4 1/2 years?
What is the balance that jim owes for his loan?
Answer:
If jim pays the loan back in 4 1/2 years he will be paying $597.03
Step-by-step explanation:
As per simple interest, Jim owes $180 in interest.
Jim owes a balance of $680 for his loan.
What is a simple interest?"By definition, simple interest is the interest amount for a particular principal amount of money at some rate of interest."
Given, the loan amount is P = $500.
The rate of interest is i = 8% = 0.08.
The duration is [tex]4\frac{1}{2}[/tex] years t = 4.5 years.
Therefore, the interest after the mentioned period
= (P × i × t)
= $(500 × 0.08 × 4.5)
= $180
Therefore, Jim owes $180 in interest if he pays it back in mentioned time period.
The balance that Jim owes for loan is
= $(500 + 180)
= $680
Learn more about simple interest here: https://brainly.com/question/23242722
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If the simple interest on $5,000 for 9 years is $4,050, then what is the interest rate?
The rate is %?
Answer:
Total Interest Paid $432,400.00
Step-by-step explanation:
There are 10 girls and 6 bios in class the teacher randomly draws one student’s name and then draws another
Answer:
Step-by-step explanation:
if there are 10 girls and 6 boys total we have 16 students. Divide 10 by 16 which give 62% a girl will be picked and for boys divide 6 by 16 which is 38% a boy will be picked.
2. Priscilla is drawing a map of her school that uses a scale in which 1.5 cm 1 point
on the map represents 3 ft. If the first hallway has a length of 120 ft, what
should the length of the hallway be on the map?
O
a. 40 cm
b. 60 cm
C. 30 cm
d. 45 cm
Answer:
The answer is 60cm. (b)
Step-by-step explanation:
For every 1.5cm on the map, it represents 3 ft on real-size scale.
In other words, for every 1cm on the map, it represents 3/1.5 = 2ft on real size scale.
If you want to find 120ft of real-size scale, you can use 120ft/2ft * 1cm which gives 60cm
A plane is at a height of 300m and is 500m away from the airport . How much distance will it travel to land at the airport?
Answer:
800m brainlest mark me
Step-by-step explanation:
that's all I hope it's help
How do you find a constant rate of change?
Answer:
Rate of change is most commonly defined as "the change in y over the change in x", or "how much does y change when x is changed by 1 unit".
Step-by-step explanation:
Question 6
1 pts
6)
What expression is equivalent to (x - 5)(x + 5) ?
a) x2 - 10x + 25
b) b) x2 - 25
c) x2 + 25
d) x2 + 10x - 25
Answer:
-33x o hope this helps and the rest you just do the same
John writes a number sequence starting with 8. Write the next number 8, 22, 36, _______
Answer:
50
Step-by-step explanation:
from the question that we have been given, we have to find out the next number after 36.
John's next number sequence will be 50. Every number after 8 can be gotten by adding 14. So when we add 14 to 36, we get the final answer, which is the next number in the sequence.
This can be seen below:
14 + 8 = 22
14 +22 =36
14 +36 =50
therefore the next sequence would be 50
There are 35 counters in a bag.
29 of the counters are white.
6 of the counters are yellow.
Kieren takes two of the counters at random.
Work out the probability that the two counters are the same colours
Answer:
debes hacer l regla de tres
Step-by-step explanation:
Answer:
2/35 because we don't know which counter kieren will take
Pls help duhdiudhuod
Answer:
X. y
10. $7
24. $14
38. $ 21
The fence of a square car park is a barbwire fixed at wooden posts. Its side measure 120 feet. What is the area of the car park?
Answer:
14,400
Step-by-step explanation:
120 x 120 = 14,400
The graph of h is a translation 4 units right and 1 unit down of the graph of
f(x) = 3(x - 5)^2 - 1. Write an equation for h(x) in vertex form and explain how you reached your answer.
Answer:
h(x) = 3(x - 9)² - 2
Step-by-step explanation:
Rules for translation of a function are as follows:
f(x) + a = vertical translation of f(x) upwards by a units
f(x) - a = vertical translation of f(x) downwards by a units
f(x + a) = horizontal translation of f(x) leftwards by a units
f(x - a) = horizontal translation of f(x) rightwards by a units
So, using the above the rules:
h(x) = f(x - 4) - 1
h(x) = (3((x - 4) - 5)² - 1) - 1
h(x) = 3(x - 9)² - 2
9. You have saved S2500 to spend on vacation. You spend the money at an average rate of $125 per day.
Write a linear function to model this situation
Find the measure of angle 7
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Answer:
119
Step-by-step explanation:
Answer:
119
Step-by-step explanation:
im sure now
Select the two values of x that are roots of this equation
Answer:
c
Step-by-step explanation:
There are two answers to the question...
Answer:
B and C
Your friend has two children. At least one of the children it's a boy. Considering the order that the children were born, what is the probability that the other child is a girl?
Answer:
the order actually doesn't affect the likelyhood of the gender, the answer is 50%
Step-by-step explanation:
Which is a line intersecting plane M in one point?
Answer:
line g
Step-by-step explanation I really don't know but if i had to choose an answer i would pick line g
The line [h] is intersecting plane M at one point.
What is a plane?In mathematics, a plane is a Euclidean, two-dimensional surface that extends infinitely. A plane is the two-dimensional analogue of a point, a line and three-dimensional space.Given is a plane [M] as shown in the image.
The line that is intersecting plane M at one point is the line [h]. They have one common point of intersection.
Therefore, the line [h] is intersecting plane M at one point.
To solve more questions on geometrical planes, visit the link below -
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A shop has a 3 for 2 offer on chocolate bars. The normal price of a chocolate bar is 86p. Sian gets 3 chocolate bars from the shop using this offer. How much does she spend? Give your answer in pounds.
Answer:
172p
Step-by-step explanation:
because of the offer for 3 chocelate for the price of 2 and because shes getting 3 she only has to pay for 2. so u do the the price of 1 (86p) times 2 (chocolate bars) and u will get 172p s your answer
The cost of three chocolate bars from the shop is 258 pounds.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a shop has a 3 for 2 offer on chocolate bars. The normal price of a chocolate bar is 86 pounds.
Sian gets 3 chocolate bars from the shop using this offer.
Here, 86×3
= 258 pounds
Therefore, the cost of three chocolate bars from the shop is 258 pounds.
To learn more about the unitary method visit:
brainly.com/question/22056199.
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