hey guys.... please help me with this question ,chapter lines and angles and i will mark u the brainiest if u answer it 1st (6 marks)
Answers
Answer:
Step-by-step explanation:
Alternate angles:When two lines are crossed by another line the pair of angles on opposite sides of the transversal is called alternate angles.
Theorem 1:If a transversal intersects two Parallel Lines then each pair of alternate interior angles is equal.
Theorem 2 :If a transversal intersects two lines such that a pair alternate interior angle is equal then the two lines are parallel.
SOLUTION:
Given: ∠AGE=126°
∠AGE=∠GED=126∘ [alternate interior angles]
(ii) ∠GED=∠GEF+∠FED=126∘
∠GEF + 90° =126°
(GIVEN that EF⊥CD)
∠GEF=126°−90°=36°
∠GEF=36°
(iii) ∠CEG+∠GED=180°
(GIVEN ∠GED=126∘)
∠CEG+126° =180°
∠CEG=180° −126°
∠CEG=54°
∠FGE=∠CEG= 54° (alternate angles)
Related Questions
Which of the following statements contains a quotient?
A. 7 + 6 = 13
B. 7 - 6 = 1
C. 42 : 6 = 7
D. 7 x6 = 42
Answers
Answer:
C is a quotient
Step-by-step explanation:
quotient it the number you get from equally dividing a number
Find the Area of the parallelograms.
Answers
Answer:
2
Step-by-step explanation:
area of a parallelogram : b x h (base x height)
since there are no measurements, we are looking at the squares
im assuming that the squares are 1x1 squares
hence, for the base of the parallelogram, we are counting the squares
i added the halves together and got the answer 2
then we need to take the height
which im also assuming is 1
b x h = 1 x 2
a = 2
sorry if this is wrong but the angle that it was taken at, is not very clear ; (
Jessica want to slowly decrease her daily caloric intake, which is currently 2500 calories per day. She plans to decrease her calorie intake by 40 calories every 2 days for the next 30 days. Determine a reasonable domain and range for this situation.
Answers
Answer:
domain is (0, 30)
Range is (1900, 2500)
Step-by-step explanation:
We are told that Jessica plans to decrease her calorie intake by 40 calories every 2 days for the next 30 days.
This means that the domain of this period is between 0 days to 30 days.
Thus, the domain is (0, 30)
Now,she plans decrease of 40 calories every 2 days. This amounts to an average of 20 calories a day.
Which means that in a month of 30 days, she would have decreased her daily calorie intake by; 20 × 30 = 600 calories.
Since she is currently on 2500 calories per day, it means that the new targeted daily intake is; 2500 - 600 = 1900 calories.
Thus, the range for this situation would be between 1900 calories and 2500 calories.
Range = (1900, 2500)
Jane is saving to buy a cell phone
$35 a month from her allowance
Does it make sense to represent to
and the number of months with a
your answer.
She is given a $100 gift to start and saves
after 1 month, Jane has saved $135.Does it make sense to represent the relationship between the amount saved
ne constant rate? Why or why not? Explain.
Answers
Answer:
She saves the same amount of money, it doesn't make sense to represent the amount saved and number of months with one constant rate.
Step-by-step explanation:
Because the se amount is saved every month, it makes ot linear, and then unnecessary to represent the amount saved and the number of months with one constant rate.
If town A had 35 people, 12 left, 13 joined, 39 joined, 25 got killed, how many people were there left?
Answers
Answer:
50
Step-by-step explanation:
35 - 12 + 13 + 39 - 25 = 50
Triangle ABC is split into two triangles as shown: shaded and non-shaded.
If the area of the shaded triangle is twice the area of the non-shaded triangle, find the size of angle ACB, correct to 1 decimal place.
Answers
Answer:
26.6°
Step-by-step explanation:
The area of a triangle is given by (1/2) * (base) * (height). The two triangles share the same height, so in order for the shaded triangle to have twice the area, its base must be twice that of the non-shaded triangle.
The non-shaded triangle is a right triangle with two 45° angles, so it's an isoceles right triangle with a base equal to its height.
This means that the height of the shaded triangle is 1/2 of its base. Knowing that we can get the angle of ACB with:
tan⁻¹(1/2) ≈ 0.4636476 (in radians)
Convert to decimal angle:
0.4636476 * (180/π) ≈ 26.6°
A tree is broken at a height of 5 meters from the ground and it's top touches the ground existence of 12 m from the base of the tree find the original height of the tree
Answers
Answer:
18 m
Step-by-step explanation:
The given situation is equivalent to a right angled triangle as shown in the diagram attached.
AB is the height at which tree was cut.
And the top touches the ground at a point C.
So,
AB = 5 m and
AC = 12 m
Here, we have to find original height of the tree.
Original height of Tree = AB + BC OR AB + BC' (Because B is the point in height AC' of tree)
Let us consider the [tex]\triangle ABC[/tex].
As per pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow BC^{2} = AB^{2} + AC^{2}\\\Rightarrow BC ^2=5^2+12^2\\\Rightarrow BC = \sqrt{169}\\\Rightarrow BC = 13\ m[/tex]
Therefore the answer is :
Height of tree = 5+13 = 18 m
The formula for the volume V of a rectangular prism is V = ℓwh, where ℓ represents the length, w represents the width, and h represents the height. Rearrange the quantities in this formula to give a new formula for the width of the rectangular prism.
Answers
Answer: [tex]w=\dfrac{V}{lh}[/tex]
Step-by-step explanation:
Given: The formula for the volume V of a rectangular prism is V = ℓwh, where ℓ represents the length, w represents the width, and h represents the height.
We rearrange this formula by dividing ℓh both sides of the formula to get the new formula for the width of the rectangular prism, we get'
[tex]w=\dfrac{V}{lh}[/tex]
Hence, the new formula for the width of the rectangular prism. :
[tex]w=\dfrac{V}{lh}[/tex]
PLEASE HELP ON NUMBER 11 TO BE MARKED THE BRAINLIEST
Answers
Answer:
B) 1820
Step-by-step explanation:
10% = 2600 ÷ 10 = 260
30% = 260 x 3 = 780
2600 - 780 = 1820
Hope this helps! :D
What number does not belong and why?
1/2
5/3
2/10
2/5
Answers
What is the simplified form of the expression -(2a + 5s) + (10a - 3s)?
Select one:
a. 8a - 25s
b. 8a - 35s
c. 12a + 25s
d. 12a - 35s
Answers
Answer:
b. 8a-35s
Step-by-step explanation:
What is the range in maths
Answers
Answer:
Range is the answer you get when you subtract the lowest number in a set of numbers from the highest number in the same set.
Step-by-step explanation:
Example
What is the range of 2,6,10,5,7 and 9
lowest number=2
highest number=10
range=10-2
range=8
Answer:
Range is the difference between the highest number in the group and the lowest number so you subtract the highest number from the lowest to get the range.
Step-by-step explanation:
If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ
Answers
Answer:
63° or 173°Step-by-step explanation:
You didn't specify where the point P is so there are two posibilites:
1.
P₁Z is dividing angle OZQ
then:
m∠P₁ZQ = m∠OZQ - m∠OZP₁ = 125° - 62° = 63°
2.
P₂Z is outside angle OZQ
then
m∠P₂ZQ = 360° - (m∠OZQ + m∠OZP₂) = 360° - (125° + 62°) = 173°
HELP!!!! 25 POINTS!!!! EXTREMELY EASY!!!!PLEASE HELP MEEEEE!!!!!!!
When finding the x-intercepts and relating them to graph....does the placement of the x-intercepts matter in the problem????
Answers
Answer:
The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. Yes it also matter because x axis go sideways and the y axis goes up and down. Hope this helps
Answer:
The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.
Step-by-step explanation:
calculate the mid points of the line segments below using the midpoint formula given two endpoints
(-3,3),(0,-7)
Answers
Answer:
[tex]M(-\dfrac{3}{2}, -2)[/tex]
Step-by-step explanation:
[tex]M(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2})[/tex]
[tex]M(\dfrac{-3 + 0}{2}, \dfrac{3 + (-7)}{2}) =[/tex]
[tex]= M(\dfrac{-3}{2}, \dfrac{-4}{2})[/tex]
[tex]= M(-\dfrac{3}{2}, -2)[/tex]
What is 325 .623 rounded to the nearest 10
Answers
The 325.623 round to the nearest 10 is 325.6.
What is round figures in maths?Rounding a number of means simplifying it while retaining its value close to what it was. The end output is less accurate but more usable. For instance, 73 rounded to the closest ten is 70, because 73 is closer to 70 than 80.
The tens' digit is the rule for rounding to the closest a hundred. If the number is five or more, round up. If the number is four or less, round down. Consider the number formed by the digits in the tens and one's columns when rounding to the nearest hundred.
To round to the next thousand, write down the multiple of 1000 closest to our number. The thousands' digit will either remain unchanged or rise by one.
Therefore, the nearest 10 is 325.6.
To learn more about round figures, refer to the link:
https://brainly.com/question/12342753
#SPJ2
Rick has 10 kids to babysit. If he gives each kid goldfish, He will have given out a total of
100 goldfish. How much goldfish did each kid get?
How do I convert this to an algebraic expression?
Answers
Answer:
10
Step-by-step explanation:
answer 10 10x10= 100 100/10=10
Why are points important in geometry
Answers
Points are very important in geometry.
In fact, a point is the most basic figure in geometry.
A point has no size, only position.
Although it's basic, it's used all the time in geometry and it creates things.
For example, two points creates line segments.
Line segments are used in postulates and theorems.
At a stop in New York City, 50 people board a subway every 10 minutes. After how long will 250 people have boarded a train at that stop? A. 20 minutes B. 40 minutes C. 50 minutes D. 1 hour
Answers
Answer:
C. 50 minutes
Step-by-step explanation:
each time, 50 people can aboard. to calculate how many times people aboard, divide 250 by 50, equals 5
each time to aboard takes 10 minutes, so multiply 5 by 10 equals 50minutes.
The dot plots below show the scores for a group of students for two rounds of a quiz: Which of the following inferences can be made using the dot plots? The range of round 2 is greater than the round 1 range. Round 2 scores are higher than round 1 scores. Round 1 scores are lower than round 2 scores. There is no overlap between the data.
Answers
===================================================
Explanation:
Choice A is true. The range is the difference of the max and min. Round 1 has a range of 5-4 = 1, while round 2's range is 5-1 = 4. Round 2 has a larger range of scores. We don't really need to do any kind of math here. We can simply spot that round 2 has its dots more spread out compared to round 1, so round 2 must have the larger range.Choice B is somewhat true. If we compare a score of 4 in round 1 to a score of 5 in round 2, then round 2 has a higher score. But we could easily flip things around. So saying one round has higher scores than the other is not particularly meaningful in this scenario. I would say it all depends on how you phrase the problem carefully. In any event, I would say that choice B is false since we can't definitively say it's true.Choice C is a similar story as choice B, just flip things around. So I'd say this is false too. We would need all of the dots of round 1 to be to the left of all the dots of round 2, in order for choice C to be a true statement. Because there's overlap, we run into a problem. Choice D is false because there is overlap for scores 4 and 5. In other words, both dot plots have dots over "4" and over "5". These are the scores the dot plots share in common.Make T the subject of the relation I=PRT/100
Answers
Answer:
T = 100I/PR
Step-by-step explanation:
1) Original: I = PRT/100
2) Multiply both sides by 100: 100I = PRT
3) Divide both sides by PR: 100I/PR = T
Answer:
gr uf
Step-by-step explanation:
Which statement below is true concerning the number 5/11?
Answers
Answer:
C. The number 5/11 is a rational number because it is a repeating decimal.
Step-by-step explanation:
The importance of this question is to distinguish a rational number from an irrational number.
A rational number can be written as a ratio or a set of repeating decimals.
An irrational number cannot be written as a ratio and cannot be represented by repeating decimals.
So out of the four options you have, the first two, A and B, are false, C is true, and D is false since rationality doesn't have anything to do with signs.
Cheers.
What are the simplified expressions on these expressions
1.3(2a+4)
2.2(3c-4)
3.5c+8c-4c+7
4.2c+5-8c-10
5.4(2-5k-2m)
6.5k+k+2
7.7p-8p+3p
8.9+4y+11+3y
9.8d+5f-2d-3d-7f
10.4(3a+1)+6a
11.7(3f+2)+2(5f-4)
12.6(3k+m-2)
13.2m+3m-m
14.c+6c-3c
15.8+4b-3+2b
16.3b-5b+8a-1
17.4f+4+3d-6-3f
Ik it’s a lot but I’m only in eighth grade and they want put me in ninth honors and this is only the third day and I’m so confused
Answers
answer:
1. 6a+12
2. 6c-8
3. 9c+7
4. -6c-5
5. 8-20k-8m
6. 6k+2
7. 2p
8. 7y+20
9. 3d-2f
10. 18a+4
11. 31f+6
12. 18k+6m-12
13. 4m
14. 2c
15. 6b+5
16. -2b+8a-1
17. f+3d-2
Hey! i just want to say that it's very easy when you just add variables with other same variable. for example, 2m+m. 2+1=3! and just pop the variable M in there. which equals 3m! super easy! right? hope this helped
Choose a number line to model the following situation: Sheldon drove 15 miles east and then drove 35 miles west.
Answers
Answer:
Made a number line for this.
Step-by-step explanation:
Answer:
C. is the answer
Step-by-step explanation:
Both Galapagos islands and the Island of Nauru are on the equator, but the Galapagos islands are at 90°W where the Island of Nauru is at 166.50°E. How far is it from the Galapagos islands to Nauru traveling over the Pacific ocean along the equator, correct to the nearest km?
Answers
Answer:
11565 km
Step-by-step explanation:
The computation is shown below:
But before reaching the final solution first we need to do the following calculations
The angle lies between the Galapagos and Nauru is
= 90° + 166.50°
= 256.5°
Since the sum of angle is 360 degrees
So the major arc and the minor arc is
= 360° - 256.5°
= 103.50°
Now the angles lies between galapagos islands is
= 180° - 90°
= 90°
And, between the naura island is
= 180° - 166.50°
= 13.5°
Now the total of this two island is
= 90° + 13.5°
= 103.5°
The length is
[tex]= \frac{\pi r }{180^{\circ}} \times \theta\\\\ = \frac{6,400\pi}{180^{\circ}} \times 103.5^{\circ}[/tex]
= 11565 km
Anyone who can help???!! I need to get this done soon.
Answers
Answer:
FalseStep-by-step explanation:
1.7 is bigger than 1
2/3 is smaller than 1
Answer:
yea its false it should go 2/3 1 1.65 1.7
Step-by-step explanation:
URGENT!!!!! In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother 5
Does not have a brother 2
Has a sister 12
Does not have a sister 11
Answers
Answer:
i think its 0.43 but im not sure i hope this helps
Step-by-step explanation:
Answer:13/29
Step-by-step explanation:
\text{Fill out totals:}
Fill out totals:
Has a brother Does not have a brother Total
Has a sister 7 14 21
Does not have a sister 6 2 8
Total 13 16 29
\text{Number of students with a brother: 13}
Number of students with a brother: 13
\text{Number of students in the class: 29}
Number of students in the class: 29
\text{Probability: }\frac{13}{29}
Probability:
29
13
How can you divide a rectangle into two congruent regions?
Answers
Answer:
Step-by-step explanation:
When you divide it through diagonals, you will get two congruent triangles ( Side Side Side congruent - SSS)
A football field measures 300 feet in length. It can also be expressed as approximately 5.7 times 10 Superscript n miles. If there are 5,280 feet in 1 mile, which is the most reasonable value of n? Negative 3 Negative 2 2 3
Answers
Answer:
-2
Step-by-step explanation:
300 ft * (1 mile)/(5280 ft) = 0.057 miles = 5.7 * 10^-2 miles
Answer:
The answer is b
Step-by-step explanation:
Find the area of a circle with a diameter of 20 inches. Use 3.14 for pi
Answers
Answer:
The area of the circle is 314 inches
Step-by-step explanation:
Area if a circle = πr²
r = radius
r= d/2
r=20 /2
r=10 inches
Area =3.14×10²
= 3.14×100
=314 inches
Answer:
314 in. cubed
Step-by-step explanation:
The formula to find the area of a circle is:
A= πr²
Pi is 3.14 so substitute that in
A= 3.14(r)²
The radius is 10 because the radius is half of the diameter. Half of 20 is 10. So substitute that in the radius symbol.
A= 3.14(10)²
Square 10, which is 10 times 10. 10 times 10 equals 100.
A= 3.14(100)
100 times 3.14 is 314 because 100 has two zeroes which means you move the decimal point in 3.14 two places to the right. It gets you 314.0 which is just 314.
A= 314