Answer:
m∠DEF = 148°
Step-by-step explanation:
The total sum of angles inside a triangle is 180°
m∠FDE + m∠EFD + m∠DEF = 180°
We can also see that because two sides are congruent, their angles are also congruent, so we can solve for x
m∠FDE = m∠EFD
2x + 8 = 3x + 4; subtract 2x from both sides
8 = x + 4; subtract 4 from both sides
x = 4; now we can substitute into equations
m∠FDE = m∠EFD;
2(4) + 8 = 3(4) + 4
8 + 8 = 12 + 4; 16=16; therefore = m∠FDE = m∠EFD = 16
To solve for m∠DEF
m∠FDE + m∠EFD + m∠DEF = 180°
16 + 16 + m∠DEF = 180
m∠DEF = 148°
xy+xw+2ay+2aw
factorise this sum
Answer:
(y+w)(x+2a)
Step-by-step explanation:
im built different
Answer:
(x+2a)(y+z)
Step-by-step explanation:
x(y+z)+2a(y+z)
(x+2a)(y+z)
Nancy has to find the reflection of point A across the y-axis. In the graph, which point is the reflection of the point A across the y-axis? What are the coordinates of the reflection? In which quadrant is the reflection located?
Answer:
Part A - In the graph, point A is at (-2, 4). Point A is in quadrant II of the coordinate plane.
Part B - In the graph, point C is the reflection of point A across the y-axis. The coordinates of C are (2, 4), so C is located in quadrant I.
Step-by-step explanation:
(Got this right off Edmentum so it's correct)
(Oh, one last thing. What you're asking is part B, I just gave the answer to the question before it)
Theratiooftheredcardstoblackcardsinadeckis3:10 2 more red cards are added to the deck.
The ratio of red cards to black cards is now 1:3 Work out the number of black cards in the deck.
The distance a truck travels varies directly with the number of hours driven. A truck travels 268 miles in 4 hours. If the truck continues to travel at this same rate, how long will it take the truck to go 938 miles?
Answer:
14hrs
Step-by-step explanation:
Answer:
14 hours
Step-by-step explanation:
rewrite the equation by completing the square x^2-2x+1=0
Answer:
(x-1)^2=0#
Explanation:
#x^2-2x+1=0#
Let's start by subtracting #1# from both sides so that the #x# terms are isolated:
#x^2-2x=-1#
Now, let's compute #(b/2)^2# and add it to both sides of the equation:
#(b/2)^2=(-2/2)^2=1#
#x^2-2x+1=-1+1#
Let's factorize the left hand side and simplify:
#(x-1)(x-1)=0#
#(x-1)^2=0#
If you have two points, you can only pick the first one to find the equation.
True
False
Answer:
well, it really depends but im pretty sure its false. you can start with either one and find the equation
Step-by-step explanation:
A summer movie club charges a $30 membership fee and then $5 per movie. Which equation can be used to find y, the total cost of the movie club, if x represents the number of movies watched. *
Answer:
B: y = 5x + 30
Step-by-step explanation:
How do I solve this equation and find the solutions?
Answer:
x = 10
Step-by-step explanation:
x-sqrt(2x+5) = 5
2x+5 = 25-10x+x^2
x = 10
Hope this helped!
Answer:
x = 5
Step-by-step explanation:
x - 5 = [tex]\sqrt{2x+5}[/tex] ( x > 5)
(x - 5)² = ( [tex]\sqrt{2x+5}[/tex] )²
x² - 10x + 25 = 2x + 5
x² - 12x + 20 = 0
(x - 10)(x - 2) = 0
[tex]x_{1}[/tex] = 10
[tex]x_{2}[/tex] = 2 strange root, does not satisfy the condition x > 5 ( 2 - [tex]\sqrt{2*2+5}[/tex] ≠ 5 )
10 - [tex]\sqrt{2*10+5}[/tex] = 5
10 - 5 = 5
5 = 5
What is a one-hundred sided polygon called? Why?
Hectogon
In geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon's interior angles are 17640 degrees.
Step-by-step explanation:
Carolyn was asked to solve the following system of equations. Her work is shown.
Correctly find the solution to the system of inequalities. Show your work for credit.
Answer:
(11, 13)
Step-by-step explanation:
Given,
3x - 2y = 7 => (eqn. 1)
y = x + 2 => (eqn. 2)
Substitute y = (x + 2) in eqn. 1.
3x - 2(x + 2) = 7
Use -2 to multiply each term you have in the parentheses. (This is where Carolyn got it wrong)
3x - 2x - 4 = 7 (-2*4 = -4 not +4)
x - 4 = 7
Add 4 to both sides
x = 7 + 4
x = 11
Substitute x = 11 in eqn. 2.
y = x + 2
y = 11 + 2
y = 13
Solution: (11, 13)
2 3/4 divided by 1 1/2
Answer:
1/2
Step-by-step explanation:
Answer:
1 5/6
Step-by-step explanation:
2x/25 = 0.4/0.15. Please Help.
Answer:
x = 1.335
Step-by-step explanation:
2x = 10/3.75
2x = 2.67
x = 1.335
2x - y + 3 = -1
What is y & x?
Answer:
Slope=2
x−intercept=−
2
4
=−2
y−intercept=
1
4
=4.00000
Step-by-step explanation:
find the y intercept
Answer:
(0,12)
Step-by-step explanation:
As you can see from the chart, when x increases by 10, y increases by 20. We can assume that because of this porportional relationship, when x increases by 1, y will increase by 2. We're looking for the y-intercept, in other words we need to get x to 0. So if we subtract x by 16, we must take 32 away from 44(the y-value), because of this porportional relationship. That gets us an x value of 0, and a y value of 12. (0,12) would be the y-intercept.
ASAP WILL MARK BRAINIEST DUE IN 5!!!
The points in each table lie on a line. Find the slope of the line.
O 1/2
O 1
O 2
O None of the above
Answer: is 1/2
Step-by-step explanation:
plz help
will give brallest
Answer:
your answer is the very first one
Step-by-step explanation:
Factor x^3 - 6x^2 + 11x - 6 with steps shown
Factor the expression
3−2−52+5+6=0
PLEASE HELP
1. Select ALL expression(s) has a value less than 4?
A) |-8|
B) |6|
C) -10
D) |-2|
) Which property is used in the following expression ? (axb) x C = ax (b x) A. Distributive Property B. Associative Property of Multiplication C. Associative Property of Addition D. Commutative Property of Addition
Answer: Associative Property of Multiplication
Find the common difference of the arithmetic sequence 2, -3, -8,..
Answer:
-5
Step-by-step explanation:
Each number is 5 less than the last.
What is the measure of ZB?
20
25
O A. 60
B. 25°
O C. Cannot be determined
D. 75°
A. 60
Step-by-step explanation:
ZA + ZB + ZC = 180°
180° ÷ 3 = 60°
Two gears are both connected to the same belt. The smaller of the two gears has a radius of 4ft & the larger of the two gears has a radius of 7 ft. The larger gear is turning at a rate of 50 revolutions per minute. What is the angular velocity of the larger gear in radians/second? What is the angular velocity of the smaller gear in radians/second?
Answer:
[tex]\omega_1 = \frac{5Rad}{3s}[/tex] and [tex] \omega_2 = \frac{35Rad}{12s}[/tex]
Step-by-step explanation:
Given that the larger gear is turning at the rate 50rpm. The angular velocity, [tex]\omega_1[/tex], of the larger gear can be calculated as follows:
[tex]\omega_1 = \frac{50rev}{m} [/tex] to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:
[tex]\omega_1 = \frac{50rev}{m} \times \frac{2\pi Rad}{1rev} \times \frac{1m}{60s} [/tex]
That gives
[tex]\omega_1 = \frac{100Rad}{60s}[/tex]
Which gives:
[tex]\omega_1 = \frac{5Rad}{3s}[/tex]
This is the angular velocity of the larger gear in rads/sec.
In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by
[tex]v = r_1 \times \omega_1[/tex] where v stands for linear velocity and [tex]r_1[/tex] for radius of larger velocity.
We are given the radius of the larger gear as 7ft so we have
[tex]v = 7ft \times \frac{5Rad}{3s} = \frac{35ft}{3s}[/tex]
To get the angular velocity of the smaller gear, we use
[tex]v = r_2 \times \omega_2[/tex] where [tex]r_2[/tex] is the radius of the smaller gear which is given as 4.
Since linear velocity is the same, we have
[tex] \omega_2 = \frac{35ft}{4 \times 3s}[/tex]
[tex] \omega_2 = \frac{35Rad}{12s}[/tex]
La fábrica Font Magdalena elabora 6 845 magdalenas diarias y, al empaquetarlas por docenas, utiliza 570 bolsas y le sobran 5 magdalenas. En cambio, la fábrica María Magdalena elabora el doble de magdalenas que la otra fábrica y las empaqueta en cajas de dos docenas. Sin hacer cálculos, ¿cuántas magdalenas le sobran a la segunda fábrica?
Answer:
5 magdalenas
Step-by-step explanation:
Ya que vamos a estimar la cantidad de magdalenas que sobraron en la fábrica de María Magdalena. Debemos razonar como sigue.
Dado que hay el doble de magdalenas producidos en Maria Magdelena en comparación con el número producido en Font Magdelena y los magdalenas de la primera se empaquetan en dos docenas, se deduce que el número de magdalenas que quedan en Maria Magdelena sigue siendo 5 porque el número de magdalenas y el número envasado aumentó exactamente en la misma cantidad.
Please please please please please help- will give brain
Answer:
Please see the images attached. #2 is the one with three different background colours & three different lines. #3 is the one with one background colour (other than white) and one line.
Step-by-step explanation:
Graph them onto a graphing calculator. Let me know if you need more help!
n/2 - 2 > 1
solve for N
Answer:
n>6
Step-by-step explanation
add two to both sides so far its n/2>3
multiply both sides by 2
n>6
What is the value of x?
(6x + 109)
(x + 179)
(4x - 349)
9514 1404 393
Answer:
17
Step-by-step explanation:
The two base angles are congruent, so we have ...
x +17 = 4x -34
51 = 3x . . . . . . . add 34-x
17 = x . . . . . . . . .divide by 3
pls give two answers for good measure
Answer:
2nd answer choice.
Step-by-step explanation:
The inequality is x-5 greater/equal to -2 which if you simplify gives you x>= 3 and since the second answer choice has a filled-in dot which means equal to and the arrow goes to the right which means greater than.
Step-by-step explanation: To solve for x in this inequality,
your goal is the same as it would be if you were solving an
equation, to get x by itself on one side.
Since 5 is being subtracted from x, add 5 to both sides of the inequality.
On the left, the -5and +5 cancel out and on the right, -2 + 5 is 3.
So we have x ≥ 3.
When graphing, start with a closed dot at +3 because x is
not just greater than +3, it's equal to it as well.
Then draw an arrow to the right, like I have done below.
what is vertibrates
It is basically an animal which has a backbone that protects the spinal cord.
What is the solution to this equation? Show your work. -7n + 29 = -5(n - 7)
Density is also the slope of the relationship between mass and volume. If the density 7.2 g /mL, what is the slope?
Answer:
The slope for the substance = 7.2 g/mL
Step-by-step explanation:
Given that the density is also the slope relationship between mass and volume and that the density is equal to 7.2 g/mL, therefore, the slope of the equation of the line relating mass to volume is also equal to 7.2 g/mL
The density = Mass/Volume = 7.2 g/mL
The slope of mass volume relationship = (The change in mass)/(The equal change in volume)
Whereby the change is from the zero state, we have;
The slope of mass volume relationship = (Mass - 0))/(Volume - 0) = Mass/Volume
Therefore;
The value of the slope of the substance = The value of the density of the substance = 7.2 g/mL
The value of the slope for the substance = 7.2 g/mL.