Answer:
What is the numerical sum of the degree measures of ∠DEA and ∠AEB?
180
What are the numerical measures of the angles?
x = 14.5
m∠DEA = 39.5°
m∠AEB = 140.5°
Step-by-step explanation:
x + 25 + 9x + 10 = 180
Subtract 35 from both sides and you get,
10x = 145
The divide both sides by 10 and you get,
x = 14.5
To get the angle measurements you plug x back into the angle equations which in this case is 14.5.
It would look like,
m∠DEA = (14.5 + 25) = 39.5
and,
m∠AEB = (9 (14.5) + 10) = 140.5
The numerical sum of ∠DEA and ∠AEB is 180°.
Numerical value of x is 14.5°.
Measure of ∠DEA is 39.5°.
Measure of ∠AEB is 140.5°.
What is Supplementary angles?If the sum of two linear angles is 180° then, they are known as supplementary angles.∠A + ∠B = 180°, (∠A and ∠B are linear angles.)Given: Two lines intersect.
Points D, E and B lie on a horizontal line and point E is intersected by line AC.
∠DEA = x + 25
∠AEB = 9x + 10
Now, from the given information we can deduce that to obtain the angles ∠AED and ∠AEB, point E should lie in between points D and B.
Since, points D, E and B lie on the horizontal line, then the ∠DEA and ∠AEB should form the supplementary angles (Figure 1).
⇒ ∠DEA + ∠AEB = 180°
⇒ (x + 25) + (9x + 10) = 180°
⇒ 10x + 35° = 180°
⇒ 10x = 145°
⇒ x = 14.5°
Now, we will substitute the value of x = 14.5° in the ∠DEA and ∠AEB, hence we get:
⇒ ∠DEA = x + 25°
⇒ ∠DEA = 14.5° + 25°
⇒ ∠DEA = 39.5°
Also,
⇒ ∠AEB = 9x + 10°
⇒ ∠AEB = 9 × 14.5° + 10°
⇒ ∠AEB = 130.5° + 10°
⇒ ∠AEB = 140.5°
Therefore, the numerical sum of the degree measures of ∠DEA and ∠AEB is 180°; The numerical measures of the angles is, x = 14.5°, m∠DEA = 39.5° and m∠AEB = 140.5°.
Learn more about the Supplementary angles here: https://brainly.com/question/13045673?referrer=searchResults
#SPJ2
Suppose that J and K are points on the number line.
If JK = 10 and J lies at -17, where could K be located?
If there is more than one location, separate them with commas.
Answer:
-7, -27
Step-by-step explanation:
J is at -17. K is 10 units from J.
Start at point J, -17:
a) If you go 10 units to the right, you end up at -17 + 10 = -7
b) If you go 10 units to the left, you end up at -17 - 10 = -27
J can be at -7 or at -27
Answer: -7, -27
9. Whats is the equivalent fraction for 0.625
Answer:
5/8
Step-by-step explanation:
You need to convert to a simplified fraction by placing the numbers to the right of the decimal over 1000. Then reduce the fraction.
Examine the diagrams below. What is the angle pair
relationship between the labeled angles? Use the
relationship to write an equation and solve for x. Then
confirm your answer by calculating the angle measures
of the labeled angles. Show your work in the text box.
✓
a.
3x + 5°
5x - 57°
Answer:
b
Step-by-step explanation:
The distance between the paralled lines 3x + 4y +15 = 0 and 3x + 4y -10 = 0 is equal to: pls help ASAP
Answer:
5 units
Step-by-step explanation:
Please see attached pictures for the full solution.
(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)
Answer:
D 21/5
Step-by-step explanation:
edge
3(1 + 7r) + 7r <— please help! :)
Answer: 28r+3
Step-by-step explanation:
3(1+7r)+7r
distributive property
3+21r+7r
combine like terms
28r+3
Answer:
4r/7 is the answer 4r over 7
one of the displays at a botanical garden is a koi pond with a walk away around it. The figure who’s the dimensions of the pond and the walkaway?
a) area of pond
b) area of walkaway
A number múltiple by 0.5 is 12.25. Find the number.
Answer:
24.5
Step-by-step explanation:
n0.5=12.25
n/0.5=12.25/0.5
n=24.5
GEOMETRY HELP!!
Find the midpoint of AB
It’s Q right?
Answer:yes it’s q
Step-by-step explanation:
HELP PLEASE
what is the slope of the function
Answer:
1/2 probably
Step-by-step explanation:
3
— of -60 please help me!
4
Answer:
-45
Step-by-step explanation:
means to find the only possible answer.
Write this series in sigma notation: 5+9+13+17+21+ 25 + 29+ 33.
Answer:
5+9+13+17+21+25+29+33= 152
Answer:
5+9+13+17+21+25+29+33=148
Please help on number 9 and 10. Will mark brainliest.
Answer:
9. 1.24 mL
10. $5.93
Step-by-step explanation:
Question 9:
If the dosage of medicine is 0.01 mL per pound of weight of the patient, and the patient's weight is 124 pounds, we can set up an equation to solve for how much medicine the patient would need to take:
Dosage of medicine per pound of body weight x Total body weight = Total medicine required
OR
0.01 * w = m,
where w is total body weight and m is total medicine required.
To solve for the dosage the patient needs, just plug the numbers into the right places (124 for w and leave m as it is):
0.01 * 124 = m
1.24 = m
Therefore, a patient with a body weight of 124 pounds would need a 1.24 mL dosage.
Question 10:
To make the multiplication easier, we could rewrite 15% as 0.15 ( because 15% = 15/100):
0.15 * Total bill = Total tax payed for bill (Also can be written as [tex]\frac{15}{100} * 39.51[/tex])
OR
0.15*39.51 = Total tax
5.9265 = Total tax
5.93 = Total tax <-------- (rounded)
8.3 + x= 12.1
I will love you if you can help me!
Answer: x= 3.8
Step-by-step explanation:
21.1 - 8.3 = 3.8
x= 3.8
Answer:
X = 3.8
Explanation: 12.1 minus 8.3 equals the missing value
540 repeated is equal to x/37
Is this true?
Answer:
The answer is x= 19980
Step-by-step explanation:
You do 540 = x/37 ---> then divide by 1/37 on each side and you get --> 19980 = x ---> you can plug it back in and get the right answer. 540 = 19980/37 = --------> 540=540
What is the value of √23
Answer:
Step-by-step explanation:
If you looking for square and square root:
Square: 529
Square root: 4.796 and the longer one,4.79583152331
Enter an inequality that represents the description, and then solve.
Dave has $9 to spend on a $6 book and two birthday cards (c) for his friends. How much can he spend on
each card if he buys the same card for each friend?
Inequality:
Dave can spend up to $
on each card if he buys the same card for each friend.
can someone pleaseee help me with explaination
2-3a / 4 >5
THE DASH IS FOR DIVISION SO 2- 3a OVER 4
Answer:
a < -4
I apologise if it is wrong.
Aliaa uses deductive reasoning to identify the number angles that fit inside a circle based on her knowledge that obtuse angles have measures greater than and that there are at the center of the circle. Aliaa wants to partition the circle in 3 congruent angles, what is the angle measurement that best fits Aliaa's circle partition?
Answer:
The best angle measurement that best fits Aliaa's circle partition is three angles of 120° each.
Step-by-step explanation:
The sum of angles at the center of the circle = The sum of angles at a point = 360°
Therefore, to partition the circle into three congruent angles, the measurement of each of the partition should be 360°/3 = 120°
The steps to partition a circle into three are;
1) Draw the diameter of the circle, to intersect the circumference of the circle at points A and B
2) Mark a point, C, at a distance of half the radius from the center of the circle, O, to the point, B, on the circumference, using a straight edge
3) Draw a perpendicular line to the diameter of the circle, through the point, C, to intersect the circle circumference at points D and E)
4) Draw radial lines from the circle center, O, to the points D and E
5) The segments OA, OB, and OE, are segment lines partitioning the segment into three congruent angles.
helppp fast!!!10 points!!
Which equation represents the data: m = -3, b = 5
O y = -3x + 5
O y = x
Oy= 5x - 3
Zero
Answer:
y=-3x+5
Step-by-step explanation:
In the form of y=mx+b
Find two consecutive odd integers such that seven times the first equals five times the second.
Answer:
Odd integers are always one more that an even integer:
1st: 2n+1
2nd: 2n+3
Step-by-step explanation:
14n+7 = 10n+15
4n = 8
n = 2
------------
1st: 2n+1 = 5
2nd: 2n+3 = 7
7x=5*(x+2)
7x=5x+10
7x-5x=10
2x=10
x=5
5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.
What are Integers?Integers are the numbers consisting of whole numbers and the negatives of natural numbers.
Let 2n + 1 and 2n + 3 be the two consecutive odd integers.
We have the relation seven times the first integer equals five times the second.
7 (2n + 1) = 5 (2n + 3)
By distributive property,
(7 × 2n) + (7 × 1) = (5 × 2n) + (5 × 3)
14n + 7 = 10n + 15
Taking the terms containing unknowns on one side and constants on other side,
14n - 10n = 15 - 7
4n = 8
n = 8 / 4
n = 2
So the first number = 2n + 1 = (2 × 2) + 1 = 5
and the second number = 2n + 3 = (2 × 2) + 3 = 7
Hence the two consecutive odd integers such that seven times the first equals five times the second is 5 and 7.
To learn more about Integers, click :
https://brainly.com/question/15276410
#SPJ2
Is 1/2 an irrational number?
Answer:
Yes, 1/2 is a irrational number
Step-by-step explanation:
This is the answer because (Google research):
A number is rational if we can write it as a fraction where the numerator and denominator are both integers. However, numbers like 1/2, 46485928/2628242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
Hope this helps!
Can anyone help me with this? (I took a picture of it too)
11. STEM To convert a temperature in degrees Celsius to degrees
Fahrenheit, multiply the Celsius temperature by 9/5 and then add 32°. Is a
temperature in degrees Celsius proportional to its equivalent temperature in
degrees Fahrenheit?
Degrees Celsius
0
10
20
30
Degrees Fahrenheit
132
Answer:
no
Step-by-step explanation:
Whenever a linear equation is something other than
y = kx
the relation is not proportional.
__
Here, you have ...
y = (9/5)x +32
The added constant ensures the relation is not proportional.
I'll give the person that can help me 30 points The y intercept of the graph could only be:
Answer:
The y- intercept could only be: B) (0, -3).
Step-by-step explanation:
The Y intercept is found when X=0, so the first value in the ordered pair must be 0. Because the line crosses the y axis BELOW the x axis, the value must be negative. Therefore, out of all the provided options, the answer could only be (0,-3).
Which letter represents the first number in an ordered pair?
Step-by-step explanation:
Example: (5,2)
On a graph, the 5 goes on the x-axis and the 2 goes on the y-axis.
Also, in the world of variables, and the alphabet, x is before y.
So x represents the first number in an ordered pair.
hope it helps!
what is the opportunity cost of one gun in this nation
Rey baked 144 desserts in 6 1/4 months. Find reys dessert making rate in desserts per month.
Answer:
23 1/25 desserts per month
solve for the equation 6x+14=7x+8
Answer:
x = 6
Step-by-step explanation:
For this problem, we simply will isolate the x to find the value of x:
6x + 14 = 7x + 8
6x + -6x + 14 = 7x + -6x + 8
14 = x + 8
14 + -8 = x + 8 + -8
6 = x
Hence, x = 6.
Cheers.
Answer:
x=6
Step-by-step explanation:
First, subtract 6x from both sides to get:
14=x+8
Now, subtract 8 from both sides to get x alone:
6 = x
Tell me the linear equation for point-slope form?