AE is an angle bisector of BAC if the measure of BAE = x + 30 and masure of angle EAC = 3x-10 determine Measure of angle EAC
Answers
The value of x for the given geometry will be 20°.
What is an angle?The angle is the measurement of the angular distance. For instance, we have a meter and an inch for linear motion, but we don't have a measurement for angular rotation, therefore the angle is helpful in determining angular rotation.
An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Given that AE is a bisector of ∠BAE and ∠EAC
so,
∠BAE = ∠EAC
x + 30 = 3x - 10
x = 20°
Hence 20° will be the answer to the given question.
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Related Questions
Which of these angles can replace x in tan (x)?
A. □
B. None of these angles are correct.
C. φ
D. θ
Answers
Answer:
C. φ
Step-by-step explanation:
[tex]tan \phi \: = \frac{6}{5} \\ \\ tan x \: = \frac{6}{5} \\ \implies \: x = \phi[/tex]
Thus [tex] \Phi [/tex] can replace x
The two triangles are similar.
Solve for h.
Give an exact answer.
Answers
Answer:
[tex]\frac{1}{1.6} = \frac{h}{7.2}[/tex] ( since they're similar, they are proportional to each other)
1 (7.2) = h (1.6) (set the two up as a proportion and then cross multiply)
7.2 = 1.6h (divide both sides by 1.6)
h = 4.5 m (this is the answer)
Step-by-step explanation:
Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.
How long was each descent by meters
Answers
Answer:
Each decent was 500 meters
Step-by-step explanation:
I found the slope
Each decent was 500 meters.
What is the Slope?The slope is a line that defines the direction and the steepness. Slope is defined in many ways. Slope is also equal to tanQ additionally, slope = dy/dx
How to determine?Finding the slope :
8000/1600=5
1000/200=5.
Each decent was 500 meters.
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Which ratio of the lines' slopes equals 1/2
Answers
Answer:
[tex]\frac{a}{b}[/tex]
Step-by-step explanation:
For this problem, if we really wanted to be precise, we could go through and do the slope equation for all of the lines. However, this graph is clear enough that we can just count the points.
On line A, we can just follow the line and see that the slope is -1 because each point goes down 1 and over 1.
Line B has a slope of -2. It goes down 2 and over 1.
Line C has a slope of 2; up 2 and over 1.
If we look at our three slopes, -1, -2, and 2, we can see that the only way for the ratio to be 1/2 is for line A over line B. This is because a negative over a negative is a positive.
Hope this helps!
If a number is not divisible by 10, can it be divisible by 20?
Answers
Answer:
no
Step-by-step explanation:
Answer:
No cannot
Step-by-step explanation:
35.408 in expanded form
Answers
Answer:
30+5+0.4+0.00+0.008
I hoped this helped u :)
Step-by-step explanation:
Answer:
30 + 5 +.4 + .008
Step-by-step explanation:
Didn't see a comma so I'm assuming you wanted as decimal, if I messed up tell me it's late I'm not thinking the best rn.
It is known that a particular laboratory task takes the average person 2.5 seconds. A researcher was interested in whether older people are slower (take longer) on this task. The researcher tested 30 randomly selected 80-year-olds. Their meantime was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude (use the .05 level)?
Answers
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that older people are slower
Step-by-step explanation:
From the question we are told that
The average time taken is [tex]\mu = 2.5 \ seconds[/tex]
The sample size is [tex]n = 30[/tex]
The sample mean is [tex]\= x = 2.7 \ seconds[/tex]
The standard deviation is [tex]\sigma = 1.4 \ seconds[/tex]
The null hypothesis is [tex]H_o: \mu = 2.5[/tex]
The alternative hypothesis is [tex]H_a : \mu > 2.5 \ seconds[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 2.7 -2.5 }{ \frac{1.4}{ \sqrt{30} } }[/tex]
=> [tex]z = 0.7825[/tex]
From the z table the area under the normal curve to the right corresponding to 0.7825 is
[tex]p-value = P(Z > 0.7825 ) = 0.21696[/tex]
So from the question we see that the [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that older people are slower
Which situation would you describe with a negative integer?
(a)A price increase of $5
(b)A 10-yard gain in football
(c) fall of 25 feet
(d)A helicopter at 200 feet above a launching pad
Answers
Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make
Answers
Answer:
6
Step-by-step explanation:
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Help please this is urgent
Answers
Answer:
2 5/6 below (2 feet and five-sixth)
Step-by-step explanation:
I can explain in comments
A math class surveyed students about their musical preferences an recorded the results in the table. Use tha data wtite a ratio for each comparison in three differents ways.
A) Students who preferer classical to students who prefer echno.
B) Students who prefer hip-hop to total number of students survyed
Table
Music Number .........Students
Rock .................................10
Classical........................... 4
Techno ............................12
Hip-Hop.......................... 15
Contry.............................. 8
Alternative...................... 4
Total Students.............53
Help Please
Answers
b) 15/53 30/106 60/212
Last week, Charlie put 15 gallons of gas in his car and paid $50.25. Yesterday, Charlie put 12 gallons of gas in his car and paid $40.20. If the price of gas remains the same, how much will it cost Charlie to put gas in his car next week? Select ALL that apply.
A
Charlie can put 8 gallons of gas in his car for $26.80.
B
Charlie can put 11 gallons of gas in his car for $38.65.
C
Charlie can put 14 gallons of gas in his car for $47.90.
D
Charlie can put 17 gallons of gas in his car for $56.95.
Answers
Answer:
A and D
Step-by-step explanation:
So I divided $50.25 by 15 and I got 3.35. Then I divided $40.20 by 12 and got 3.35 again. So I multiplied 8, 11, 14, and 17 by 3.35. I got the right answer for 8 (A) and 17 (D).
write -12 in a and b form
Answers
Answer:
whats ur question i dont understand
Step-by-step explanation:
idu
Answer:
thanks fOr the points
Step-by-step explanation:
7,-6, 6 ___ ____>____ 1, ¼, ½ ____>____>____ -50,10,0 ____ _____>_____ -82,-93,-104 ____ _____>______ 11 ¼,11, 11 ½ ____ _____>______
Answers
Answer:0-0
Step-by-step explanation:
Need answers for 5 and 6 please it’s algebra math hurry please
Answers
5a) -2/3
5c) y = -2/3 + 2
6a) x intercept point is (4,0) and y intercept point is (0,2)
6b) -1/2
6c) im pretty sure it's y = -1/2 -2
Um how do you solve for x?
Answers
Answer:
If you have an equation like "x - 5 = 20" rewrite the equation as x = 20 + 5 and solve for x, which 20 + 5 is 25.
ASAP PLS HELP DUE TODAY. WILL GIVE BRAINLIEST IF A GOOD ANSWER EXPLENATION AND CORRECT ANSWER
Rewrite 7 − 8 using the additive inverse and display the new expression on a number line.
Select one:
a.
7 + (−8)
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at negative 1.
b.
7 + 8
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
c.
7 − (−8)
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
d.
8 − 7
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 8. Another arrow begins at 8 and ends at 1.
Answers
Answer:
[tex]7 + (-8)[/tex]
Step-by-step explanation:
Given
[tex]7 - 8[/tex]
(a): Write as additive inverse.
An additive inverse is of the form a + (-b)
In this case:
[tex]a = 7[/tex]
[tex]b = -8[/tex]
So, the expression can be represented as:
[tex]7 + (-8)[/tex]
(b): Number line representation
When the expression in (a) is solved.
The result is:
[tex]7 - 8 = 7 + (-8) = -1[/tex]
This means that the number line must accommodate 7 and -1.
Having said that, options (b) and (c) are out because their range is 0 to 15 and this excludes -1.
Option (d) is a wrong representation of [tex]7 - 8[/tex]
Hence, (a) is correct
I need help...........
Answers
The answer is C, refer to this picture for an explanation.
Have a great day!!
Brainliest??
send helpppppppppppp
Answers
Answer:
right bottom
Step-by-step explanation:
what is 8x+6 simplified?
Answers
Answer:
4x+3
Step-by-step explanation:
8 and 6 are multiple of 2 so divide 8 /2 = 4 and divide 6/2=3
Which statements are true about ABCD? Select all that apply.
A ZABC=CDA
B.BD I AC
C.BE=ED
D. m2ABC + m2BCD = 180°
E. AB=CD
Answers
Statements D and E are true about ABCD.m∠ABC + m∠BCD = 180° and AB=CD.
What is parallelogram?In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
The two opposing sides are equal and parallel. The opposing angles line up evenly. The following or neighboring angles are extra. Every angle will be at a right angle if one of the other angles is even.
A parallelogram has equal opposite angles (or congruent) Angles that are next to one another are said to be consecutive (that means they add up to 180 degrees)
The true identities are,
AB=CD
m∠ABC + m∠BCD = 180°
Thus, statements D and E are true about ABCD.m∠ABC + m∠BCD = 180° and AB=CD.
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explain how to evaluate f(g(0)).
Answers
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
==================================================
Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
---------------------
We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
Witch equation is shown on the graph below
A. Y=2x
B. Y=2x+1
C. Y=2+x
D. Y=2x-1
Answers
The carter family budgets a total of 2,700 for a ski vacation in Colorado if they plan to go spend 275$ per day and 1,000 on meals about how many days n can the carter family go on vacation ?
Answers
Answer:
275n + 1000 = 2700
They will go 6 days on vacation.
Step-by-step explanation:
Given that the Carter family wants to go on vacation with a budget of $ 2700, of which $ 1000 will be used exclusively for food, and for each day of stay $ 275 will be spent, the formula to obtain the number of days they can spend on vacation is following:
1000 + 275n = 2700
275n = 2700 - 1000
n = 1700/275
n = 6.18
Therefore, with this amount, the Carters will be able to spend 6 days on vacation, and they will have money left over.
Evaluate the expression 3x2+5y for x = 4 and y = 2.
I need this answer ASAP
Answers
Your uncle purchases a $25,000 car this year. The car depreciates in value by 20% per year.
a) Write an exponential equation for the value of the car.
b) Use your equation to find the value of the car in 10 years.
c) When will the car be worth $10,000? Solve an equation with logarithms and show your work.
Answers
Answer:
b
Step-by-step explanation:
What is the equation of the line –3x–2y=30 in slope-intercept form?
Enter your answer in the box.
Answers
Answer:
y = - 1.5x - 15
Step-by-step explanation:
Step 1:
- 3x - 2y = 30 Equation
Step 2:
- 2y = 3x + 30 Add 3x on both sides
Step 3:
y = - 1.5x - 15 Divide 2 on both sides
Answer:
y = - 1.5x - 15
Hope This Helps :)
Answer: y = - 1.5x - 15
Step-by-step explanation:
First, we will add 3x to both sides of the equation.
-2y = 3x + 30
Next, we will divide 2 on both sides of the equation.
y = -1.5x - 15
Answer - y = -1.5x - 15
Which equation represents the rental cost of the company with the least expensive hourly rate?
Answers
Answer:
c. y = 2x + 4
Step-by-step explanation:
Hope you got it.
Which expression is equivalent to 2(3x+4)(x−1)(x−3)?
A
6x3−16x2−14x+24
B
6x3−4x2−34x−24
C
3x3−8x2−7x+12
D
6x3+20x2−2x−24
Answers
Answer:
A
Step-by-step explanation:
=(2(3x+4)(x−1))(x+−3)
=(2(3x+4)(x−1))(x)+(2(3x+4)(x−1))(−3)
=6x3+2x2−8x−18x2−6x+24
=6x3−16x2−14x+24
After solving the given expression, the equivalent expression will be equal to 6x³ - 16x² - 14x + 24.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given expression in the question,
2(3x+4) (x−1) (x−3)
(6x + 8) (x² -3x - x + 3)
6x³ - 18x² - 6x² + 18x + 8x² - 24x - 8x + 24
Now, collect similar terms and add them,
6x³ - 16x² - 14x + 24
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Elena has $80 in a savings account. The interest rate is 5% per year and 1 point
is not compounded. How much Interest will she have in 2 years?
