CE is an angle bisector of angle ACB.
If m angle ACE = 2x - 15 and m angle ECB = x +5,
determine the value of x.
Answers
Answer:
x = 20
Step-by-step explanation:
[tex] \because \overrightarrow {CE}[/tex] is an angle bisector of[tex] \angle ACB. [/tex]
[tex]\therefore m \angle ACE = m \angle ECB\\ 2x - 15 = x + 5 \\ 2x - x = 15 + 5 \\ \huge \orange{ x = 20}[/tex]
The value of x from the angle bisector is: x = 20
How to find the value of the angle bisector?Angle bisector theorem is a theorem in geometry that states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. An angle bisector is a ray that divides a given angle into two angles of equal measures.
Thus, we can say that:
∠ECB = ∠ACE
Thus:
x + 5 = 2x - 15
2x - x = 15 + 5
x = 20
Read more about angle bisector at: https://brainly.com/question/24334771
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Related Questions
Write the expression as the sine cosine or tangent of an angle calculator.
Answers
Answer:
hello your question is incomplete here is the complete question
write the expression as the sine, cosine, or tangent of an angle.
[tex]sin 60 cos 15 + cos 60 sin 15[/tex]
answer : [tex]sin 60 cos 15 + cos 60 sin 15 = sin 75[/tex]
Step-by-step explanation:
To write the expression as the sine,cosine or tangent of an angle we will employ the trigonometry identity
[tex]sin 60 cos 15 + cos 60 sin 15[/tex] can be represented in the form of ;
sin( u + v ) = sin u cos v + cos u sin v --------- (1)
comparing equation 1 with the given expression
u = 60 and v = 15
therefore writing the expression in the form of the sine of an angle would be the answer
= sin( 60 + 15 ) = sin 60 cos 15 + cos 60 sin 15
hence sin ( 75 ) = sin 60 cos 15 + cos 60 sin 15
13/24 × 3 5/9 multtplying fraction help
Answers
Answer:
31/6
Step-by-step explanation:
Step 1:
13/24 × 3 5/9
Step 2:
13/24 × 32/9
Step 3:
62/12
Answer:
31/6
Hope This Helps :)
What is the value of x? Enter your answer in the box. x = cm A bow tie shape polygon made of two bow ties that share a vertex. The shape is created by two segments intersecting forming two triangles with vertical angles. An alternate interior angle of the triangles are marked congruent to each other. The larger triangle is on the left and the smaller triangle is on the right. In the larger triangle, the left side of the triangle is 32 centimeters. The south side of the triangle is 40 centimeters. On the smaller triangle, the right side of the triangle is 4 centimeters. The north side of the triangle is labeled x.
Answers
Answer:
side x is 5 cm long
Step-by-step explanation:
Use proportions, given that the two triangles are similar because they contain three equal angles:
One angle due to connected by the vertex (oppose by the vertex), another angle as marked with the tick, and the third one has to be the same due to the fact that the addition of the three internal angles of a triangle must equal 180 degrees.
Then our proportion becomes:
[tex]\frac{4}{32} =\frac{x}{40}[/tex]
And then we solve for x by multiplying both sides by 40 (to eliminate the denominator on the right):
[tex]\frac{4}{32} =\frac{x}{40} \\\frac{4*40}{32} =x\\ x=5\,\,cm[/tex]
Answer:
5cm
Step-by-step explanation:
Just took the test :)
The American Auto Association reports that the mean price per gallon of regular gasoline is $3.10, with a population standard deviation of $0.20. Assume a random sample of 16 gasoline stations is selected and their mean cost for regular gasoline is computed. What is the likelihood the sample mean is greater than $3.08
Answers
Answer:
0.65542
Step-by-step explanation:
The formula for calculating a z-score when a random sample is selected is is z = (x-μ)/standard error
where
x is the raw score
μ is the population mean
Standard error = σ/√n
σ is the population standard deviation.
n = randomly selected sample
z = (x-μ)/standard error
z = (3.08 - 3.10) / 0.20/ √16
= -0.02/0.2/4
= -0.02/0.05
= - 0.4
Determining the Probability value from Z-Table:
P(x≤ 3.08) = P(<3.08)
P (z = -0.4)
= 0.34458
P(x>3.08) = 1 - P(x<3.08)
1 - 0.34458
= 0.65542
Therefore, the likelihood the sample mean is greater than $3.08 is 0.65542
If you used the input value 12 in the function y=2x,what would be the output value
Answers
Answer:
24
Step-by-step explanation:
If you put 12 in for x, you would get y=2*12 and 2 times 12 is 24. I hope this helps :)
If f(x)=-2x-3 find the value f(4y)
Answers
Answer:
f(4y) = -8y - 3
Step-by-step explanation:
Step 1: Define variables
f(x) = -2x - 3
f(4y) = x = 4y
Step 2: Plug in x = 4y
f(4y) = -2(4y) - 3
f(4y) = -8y - 3
A random sample of 10 subjects have weights with a standard deviation of 9 8753 kg What is the variance of their weights? Be sure to include the appropriate units with the result.
Answers
Answer: The variance of their weights = 9,752,155,009 kg.
Step-by-step explanation:
The variance is the square of the standard deviation . it measures the spread between data values in a data set.So if standard deviation of 10 subjects = 98753 kg
Then, variance = [tex](9 8753 )^2\ kg=9,752,155,009\ kg[/tex]
Hence, the variance of their weights = 9,752,155,009 kg.
5x23x2 use properties to find the sum or protuct
Answers
Answer:
230
Step-by-step explanation:
use the multiplication property, it doesn't matter what wa ugh you do it because multiplication is on both sides
70.4 is what percent of 88?
Answers
Answer:
70.4 is 80% of 88
Graph the linear equation by finding its intercepts.
3x + 6y = 18
Answers
y intercepts are (0,3)
OMG! I just answered the wrong question... so sorry
solve using elimination method
-3x + 5y = 8
-2x + 7 y = -2
Answers
x = - 6
y = - 2
Step-by-step explanation:-3x + 5y = 8 | ×(-2)
-2x + 7 y = -2 | ×3
6x - 10y = - 16
- 6x + 21y = - 6
add
6x - 6x - 10y + 21y = - 16 - 6
11y = - 22
y = - 22 : 11
y = - 2
replace y
- 2x + 7(-2) = - 2
- 2x - 14 = - 2
- 14 + 2 = 2x
2x = - 12
x = - 12 : 2
x = - 6
Write the value of k for which the system of equations x+y-4=0 and 2x+ky-3=0 has no solution.
A. k=2
B. k=-2
C. k=1/2
D. k=-1/2
Do this.... Well it is easy.....
if you done this one I will ask question from physics
Thank You.... ✧༺♥༻✧
Answers
Answer:
c k=1\2......................
A 34 inch baseball bat is resting 6 inches from the base of a play house as shown how far up on the Playhouse is a baseball bat resting round to the nearest 10th
Answers
Rewrite the expression 10 to the -3 power
Answers
Answer: 0.001 or 1/1000
Since it is a negative exponent and -3 so it is in the thousandths, so 1/1000 or 0.001.
Have a good day! : )
a repairman works 70 hours. charges $75 plus $40 per hour. What is the y intercept
Answers
$40 pre hour x 70 hours = 2800+ $75 = $2875
Total cost $2875
Write in slope-intercept form,
70 hours,75,40, hour
Answer:
40
Step-by-step explanation:
A survey at a bake-off showed that 32% of children chose strawberry cake as their favorite cake. A total of 750 children took the survey. How many children chose strawberry cake
Answers
Help me please and show work and this is geometry
Answers
Answer:
-433
Step-by-step explanation:
Step 1: Define
-5(4 + 9s) - 7(4q - 6)
s = 7
q = 5
Step 2: Simplify expression
Distribute: -20 - 45s - 28q + 42
Combine like terms: -45s - 28q + 22
Step 3: Substitute
-45(7) - 28(5) + 22
Step 4: Evaluate
-315 - 140 + 22
-445 + 22
-433
the radius of a circular playground is 77 metre.Calculate the distance covered by a runner in 5 complete rounds around the ground.
Answers
Answer:
2419.0265 meters
Step-by-step explanation:
To find the answer you must first find the circumference of the circle. The circumference formula is C = 2 \pi r. So if you plug in 77 you get 483.8053. Then multiply that by 5 and you will have your final answer.
Evaluate 7m+2n-8p/n m=4, n=2, and p=1.5 please help me
Answers
Answer:
10
Step-by-step explanation:
7(4)+2(2)-8(1.5)/2
28+4-12/2
20/2
10
7m+2n-8p/n
7(4)+2(2)-8(1.5)/2
28+4-12/2
28+4-6
32-6=26
A board of length (6x4 + 9x2- 21) meters is to be cut into three pieces of the same length. Find the length of each
piece.
Answers
Answer:
(2x⁴ + 3x² -7)
Step-by-step explanation:
Length is
(6x⁴ + 9x²- 21)It is to be divided by 3.
Note when dividing the polynomial by any value each of the terms is divides by same value:
(6x⁴ + 9x²- 21)/3 = 6x⁴/3 + 9x²/3 - 21/3 = 2x⁴ + 3x² -7Each piece is (2x⁴ + 3x² -7) meters long
4. Rewrite the expression using the distributive property.
(7•3) + (7•7)
Answers
We can use the formula of distributive property
a(b+c)=ab+ac
So it will look like a(b+c)= (7•7)+(7•3)
A is 7, B is also 7, and C is 3. Plug those in and you get 7(7+3)
Answer: 7(7+3)
Hope this helps ʕ•ᴥ•ʔ
Which rule defines the function in the graph? Two line segments on a coordinate plane that do not meet. The first segment begins at negative 3 comma negative 4, inclusive, and ends at 1 comma zero, non inclusive. The second segment begins at 2 comma 3, inclusive, and ends at 4 comma negative 3, inclusive. Group of answer choices f(x)={ x−1, if −3 ≤ x < 1 f(x)={ −3x+9, if 2 ≤ x ≤ 4 f(x)= { x−1 , if −3 < x ≤ 1 f(x)= {−3x+9 , if 2 < x < 4 f(x)={ x−1, if −3 ≤ x < 1 f(x)={ x−3, if 2 ≤ x≤ 4 f(x)={x−1, if −3 < x ≤ 1 f(x)={x−3, if 2 < x < 4
Answers
Answer:
The correct option is;
f(x) = {x - 1 if -3 ≤ x < 1 f(x) = {-3·x + 9, if 2 ≤ x ≤ 4
Step-by-step explanation:
The given coordinates of the points are;
For the first segment
Beginning point [-3, -4] (inclusive)
Endpoint (1, 0), (noninclusive)
For the second segment
Beginning point [2, 3] (inclusive)
Endpoint [4, -3] (inclusive)
The equation of the first segment is therefore;
y - 0 = (0 + 4)/(1 + 3)×(x - 1) = 1 × (x - 1)
y = x - 1
The equation of the second segment is found as follows;
y + 3 = (-3 - 3)/(4 - 2)×(x - 4) = -3 × (x - 4)
y + 3 = -3 × (x - 4) = -3·x + 12
y = -3·x + 12 - 3 = -3·x + 9
Therefore, we have;
f(x) = {x - 1 if -3 ≤ x < 1 and f(x) = {-3·x + 9, if 2 ≤ x ≤ 4
All checked baggage on a particular airline company must not exceed 64 inches or an additional fee is charged.
The size of the baggage is determined by adding length + width + height.
If a bag has a height of 22 inches and a width
that is 16 inches less than the length, what lengths are acceptable for the bag to be checked free of charge?
If the bag is to be checked free of charge. its length must be __ inches or less.
Answers
Suppose a student just found out that she scored a 75 on her first statistics exam, with a z-score of 0.5. Her friend, who is in a different section with the same professor, also scored a 75 but had a z-score of −0.5. What can you conclude about the mean exam scores in the two classes?
Answers
Answer:
The mean exam scores in the second section is greater than the mean exam scores in the first section
Step-by-step explanation:
Here, we are interested in making a conclusion.
Mathematically;
z-score = (score - mean)/SD
so basically, what determines the sign of the z-score is dependent entirely on the mean.
If the mean is larger than the score, we will have a negative z-score. If the mean is smaller than the score, then will have a positive z-score
So basically what drives the sign is the mean value since the scores are the same for both students in this case, irrespective of the standard deviation in both classes.
So, for the first girl with a positive z-score, we can conclude that her score is larger than the mean; while for the second girl with a negative z-score, her score is smaller to the mean.
Thus, what we conclude here is that the mean score of the second section with the professor is greater than the mean score of the first section with the professor.
PLZ HELP FAST
short sentences plz
Answers
Answer:
Step-by-step explanation:
The women used a crib and used force to push the baby's crib
That guy was speeding
The bikes accelerated as he pedaled
The guy needed velocity to turn his bike
You need to exert to push a door
Space has no gravity
Newton's first law was a great moment
That object has interia
SORRY THAT'S THE BEST I CAN DO...
The water level in a pool drops 8 iches in a day so what is the average level drop in each hour
Answers
Answer:
0
Step-by-step explanation:
becuse 8 is in a day and the only thing could be 0 becuse in a hour you might not get much in an hour cuz an day is 24 hours but there might be a chance to be 1 but its mostly 0.
Can someone please help ty!!
Answers
Answer:
Try the light blue one, I really just guessing but good luck!!
Determine the largest integer value of x in the solution of the following inequality. -5X - 9 > 13
Answers
Answer:
X<-4.5
Step-by-step explanation:
firstly group like terms ,You divide both side by -5 and the answer was -4.5
Is 2^5 the same as 5^2? Yes or No?
Explain why please help me thank you!!
Answers
Answer:
No, they are not equivalent.
Step-by-step explanation:
2^5 means 2 to the 5th power, so we multiply it by itself 5 times.
2x2x2x2x2=32
Same as 5^2
5x5=25
32>25
There is your answer, no.
officials begin to release water from a man made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 30 weeks is replenishing the lake at the same time. how many weeks does it take to empty the lake? express you answer as a fraction reduced to the lowest terms, if needed.
Answers
Answer:
34²/7
Step-by-step explanation:
Take the dam to be a take and the exit of the dam to be a tap at the bottom which is used to empty the tank and the river to be a pipe at the top of the tank that is used to fill the tank
The tap takes 16 week to empty the tank how much will it empty in 1 week =¹/16
The pipe takes 30 week to fill the tank how much will it fill in 1 week =¹/30
¹/16-¹/30= ?
Get the LCM of the denominator which is 240
The fractions are now
15/240-⁸/240=⁷/240
1week=⁷/240 empty
? = 240/240 empty
Cross multiple
240/240×1÷7/240
240/240×1÷240/7=240/7
7÷240=34²/7 weeks