Answer: d) Angle-Angle-Side (AAS)
Step-by-step explanation:
See image --> I labeled the angles to show ΔABC and ΔCDE
Here is the proof that shows ΔABC ≡ ΔDEC
Statement Reason
1. AB ≡ DE 1. Given
2. ∠B ≡ ∠E 2. Given
3. ∠ACB ≡ ∠DCE 3. Vertical Angles
4. ΔABC ≡ ΔDEC 4. AAS Congruency Theorem
We have 2 angles and 1 side so our only options are AAS or ASA.
We can eliminate ASA because the side is NOT between the angles.
If you follow the path of the triangles; first you have Side (AB ≡ DE), then Angle (∠B ≡ ∠E), then Angle (∠ACB ≡ ∠DCE). We don't have SAA as an option so follow it backwards and you get Angle-Angle- Side (AAS).
any suggestions on how to solve this? thanks
Answer: x = 4
Step-by-step explanation:
You basically want to solve for the angle A. Do arcsin of 1/3, which is approximately 19.47 degrees. In this triangle, we are missing the adjacent and opposite, but we do have the angle luckily. Lets use SOH-CAH-TOA.
[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]
We can see here that doing sine will give us the length of the opposite
[tex]sin19.47 = \frac{x}{12}[/tex]. Do sine of 19.47, then multiply by 12. I got 4
Who can solve for Y ? 2y < -4
Answer:
y < -2
Step-by-step explanation:
2y < -4
Divide both sides by 2.
y < -2
Answer:
y <-2. :::::::::::::::::::::::
Step-by-step explanation:
2y< -4 ==> y<-2
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A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to side s?
y=-x+9
y=-x-3
y=x+9
y=x-3
Answer:
y=x+9
Step-by-step explanation:
What is the equation of the translated function, g(x), if
f(x) = x??
Answer:
There is not enough information to solve. We need some more information to solve this question. The best we can do is
g(x) = g(f(x))
the coordinates of point G ar (4,-2) and the gradient of the straight line GH is -2.The coordinates of point H could be
A.(-1,6)
B.(-1,8)
C.(-1,10)
D.(-1,12)
Step-by-step explanation:
Given that the formula of gradient is :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
So you have to try for every coordinates :
Option A,
[tex] \frac{6-(-2)}{-1-4} = - \frac{8}{5} (incorrect) [/tex]
Option B,
[tex] \frac{8-(-2)}{-1-4} = -2 (correct) [/tex]
Option C,
[tex] \frac{10-(-2)}{-1-4} = - \frac{12}{5} (incorrect) [/tex]
Option D,
[tex] \frac{12-(-2)}{-1-4} = - \frac{14}{5} (incorrect) [/tex]
Question 10
The price of one share of a stock fell 4 dollars each day for 8
days. How much value did one share of the stock lose after 8
days?
What is the value of 3-(-2)
Answer:
5
Step-by-step explanation:
3-(-2)=5
Answer:
5
Step-by-step explanation:
It becomes 3+2 because the negatives cancel out.
So 59 rounded to the nearest ten is
Answer:
60
This is because a number 5 or above is rounded up. Lower than 5 is equal to the lower number.
Answer:
60.. hope it helps
Step-by-step explanation:
Check the number in the ones place
It's is 9, which is greater than 5 so we will add 1, to the tens place,
It becomes 60
Another method..
The closest tens multiples to the given number are 50 and 60.
Evidently, it is closer to 60 so when it is rounded off to the nearest ten, it's 60
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Cuál es el menor número entero que, disminuido en 8, resulta menor que su triple
Answer:
-3
Step-by-step explanation:
Let x = the number
Then 3x = its triple, and the condition is:
x - 8 < 3x
Subtract x from each side
-8 < 2x
Divide each side by 2
-4 < x
Reverse the inequality
x > -4
The smallest integer greater than -4 is -3.
Check:
-3 - 8 < 3(-3)
-11 < -9
It checks.
if one song is $50 and i have $17000 how many songs can i buy
Answer:
340 songs, 17000/50 = 340 lol
Answer:
340
Step-by-step explanation:
17000÷50=340.
hope this helps
Given a line segment containing the points A,B, & C, in order, if AB is 4 and BC is 16, then the length of AC would be ____. Select one: a. - 12 b. 12 c. 8 d. 20
The length of AC will be equal to 20 units for the given line.
What is the distance?Distance is defined as the length between the two points here we have a line AC divided into two parts having a length of AB = 4 and BC is 16.
The length of the line AC will be calculated as:-
AC = AB + BC
Ac = 4 + 16
AC = 20 units.
Therefore the length of AC will be equal to 20 units for the given line.
To know more about distance follow
https://brainly.com/question/2854969
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PLEASE HELP
CDEF is a kite and mFCE =39. Find m1
A.102
B.39
C.78
Answer: 39
Step-by-step explanation:
Its easy! The triangles CEF and CDE are equals because they have three sides respectively equal. So the angles FCE and angle m1 (DCE) are equal.
Then:
m1 = 39
work out the surface area of a sphere please help if u get it correct i’ll give h brainlest
Answer:
Surface area of sphere = 4πr²
r = radius
and radius = diameter/2
radius = 13/2
= 6.5cm
Surface area = 4 × π × 6.5
= 26 × π
= 81.68
= 81.7cm²
Hope this helps.
which two of the following is continuous data?
Answer:
B. Age of student
D. Time taken to run 1 mile
Step-by-step explanation:
From the list of given options, only B and D satisfy the required condition.
One unique determinant of continuous data is that; they are measured and not counted.
Now, let's categorize option A to D into two
1. Counted data
2. Measured data
Options that fall into the category of measured data are said to be continuous data.
A. Concert attendance; The number of people in a concert is counted
B. The age of a student is measured (in years)
C. Number of pens in a box is counted
D. Time taken to run 1 mile is measured (in units like seconds, minutes, hours, etc...)
In summary; we have
Counted
A. Concert Attendance
C. Number of pens in a box
Measured
B. Age of a student
D. Time taken to run 1 mile
Hence, the continuous data are Age of a student and Time taken to run 1 mile
Where are the stem cells that replace old blood cells located in adults?
A. In the bones
B. In the digestive tract
C. In the brain
D. In the layers of skin
Answer:
A
Step-by-step explanation:
It is specifically in bone marrow. Bone marrow is the tissue comprising the center of large bones.
Plss brainliest
Answer:
In the Bones
Step-by-step explanation:
apex checked by myself
X^2-11=53 in the simplest form
Answer:
x=±8
Step-by-step explanation:
You add 11 on both sides
x^2=53+11
x^2 = 64 so
x=8 or x=-8
i am thinking of a fraction. The sum of the numerator and denominator is 19. When I add
8 to the denominator, the fraction becomes 1/2 What is the fraction I am thinking of?
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
Let the fraction be [tex]\frac{x}{y}[/tex].
That would mean:
(1) x+y = 19
&
(2) y+8 = 2x or 2x = y+8
In order to use substitution, we multiply equation by 2:
(3) 2x+2y = 38
Then we substitute equation (2) into (3):
y+8 + 2y = 38
3y + 8 = 38
3y = 30
y = 10
Substitute this into equation (1)
x + 10 = 19
x = 9
Therefore the fraction would be:
[tex]\frac{9}{10}[/tex]
Answer:
9/10
Step-by-step explanation:
let the fraction be x/y.
x+y=19
x/y+8=1/2
solve simultaneously
y=2x-8
y=19-x
2x-8=19-x
3x=27
x=9
y=10
please see the attached image and help me complete this question , please , its an emergency
Answer:
46
Step-by-step explanation:
32+14 = 46
46 ppl study spanish
Answer:
A = the Venn diagram and the middle section is 41 because :
14 + 25 = 39
80 - 39 = 41
B = 25 ( because of diagram )
C = the number of kids who studied both and only studied it which is:
41 + 14 = 55 (so C = 55).
A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed . find the mean of the distribution of scores. carry your intermediate computations to at least four decimal places. round your answer to at least one decimal place.
Answer: μ = 647.4
Step-by-step explanation:
The question says
"A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed"
And we are told to find the mean of the distribution scores.
Given mean μ = ?
we have from standard normal table that
P(Z > 1.282) = 0.1
Therefore the given Z score of a score of 750 is given thus 1.282.
the z score is given:
x - μ / α = 1.282
750 - μ / 80 = 1.282
Therefore μ = (750 - 80)*1.282 = 647.4
So we have that μ = 647.4
cheers i hope this helped !!!
Solve -3(x-2)<8 or -3(x-2) > 12
Answer:
x = (14/3,6)
Step-by-step explanation:
-3(x-2) < 8
taking negative sign to opposite side relational operator changes.
3(x-2) >8
Similarly
3(x-2)<12
Now
8< 3(x-2) < 12
dividing by 3
8/3 < x-2 < 4
adding 2
8/3 +2 < x < 6
Therefore x = (14/3, 6)
Hope it helps ...
Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees.
Which statement must be true about the diagram?
1. Point K is a midpoint of Line segment J L.
2. mAngleJKN = One-halfmAngleJKM
3. Ray KM is an angle bisector of AngleNKL.
4. JK = One-halfKL
Answer:
Ray KM is an angle bisector of AngleNKL
Step-by-step explanation:
Answer:
Ray KM is an angle bisector of AngleNKL
Step-by-step explanation:
brainlist???????????
Please help?
1: The x-intercepts of a quadratic function are -3 and 5. What is the equation of its axis of symmetry?
#2: The solutions to a quadratic equation are x = 2 or x = -3. What are the x-intercepts of the related quadratic function?
Answer:
see explanation
Step-by-step explanation:
(1)
The axis of symmetry is situated midway between the x- intercepts, thus
x = [tex]\frac{-3+5}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
Equation of axis of symmetry is x = 1 → d
-----------------------------------------------------
(2)
The x- intercepts of a quadratic are the solutions, thus
x = 2 and x = - 3 → b
Ms. Jenks bought 1.75 pounds of ham and 0.8 pound of turkey from the deli. How many more pounds of ham than turkey did she buy?
What is: 6x^2-4x-10?
[tex]answer \\ (3x - 5)(2x + 2) \\ solution \\ {6x}^{2} - 4x - 10 \\ = {6x}^{2} - (10 - 6)x - 10 \\ = {6x}^{2} - 10x + 6x - 10 \\ = 2x(3x - 5) + 2(3x - 5) \\ = (3x - 5)(2x + 2) \\ hope \: it \: helps[/tex]
Answer:
x = 1⅔ or -1
Step-by-step explanation:
6x² -4x - 10
a=6, b=-4, c=-10, ac= -60
factors -10 & 6
6x² + 6x - 10x -10 =0
(6x² + 6x) - (10x - 10) =0
6x(x +1) - 10(x+1) =0
(6x-10)(x+1)=0
6x-10=0 or. x+1=0
6x= 10 or x= -1
x= 10/6 or. x= -1
x=1⅔ or x= -1
Corresponding angles form when a transversal intersects with two parallel lines.
True
False
Please help
Answer: True
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal.
How do I find value of X
Answer:
147°
Step-by-step explanation:
106°+139°+126°+141°+112°+129°+x =900°
753°+x = 900°
x = 900°-753°
x= 147° (sum of the interior angles of a heptagon=900°)
Allan built a doghouse and he wanted the house to have an area of 24 square feet. He also wanted the width to be 2/3 the length. What are the dimensions of the doghouse?
Answer:
Dimension of doghouse is 4ft by 6ft
Step-by-step explanation:
Here, we are interested in calculating the dimensions of the doghouse.
Let the length of the doghouse be x, this means that the width would be 2/3 of x which equals 2x/3
Now, the area of rectangle is L * B
x * 2x/3 = 24
2x^2 = 3 * 24
2x^2 = 72
diverse both sides by 2
x^2 = 36
hence x = 6ft
The width would be 2/3 * 6 = 12/3 = 4 ft
The temperature in Fahrenheit is thirty-two degrees more than 1.8 times the temperature in Celsius. Write an equation for the temperature in degrees Celsius. What is the temperature in Celsius if the temperature in
Fahrenheit is 176 degrees?
Answer:
80 Degrees celsius
Step-by-step explanation:
176 - 32 = 144
144 * 100/180 = 80
3х - Зу = 0
4 х - у = 21 what's the solution???
Answer:
x = 7
y = 7
Step-by-step explanation:
So from this we can pull that x, y = pos
pos so 3(x) = 21
x= 7
Same
7, 7
x = 7, y = 7
Hope this helps!