Answer:
m<FED=60, m<DEN=120
Step-by-step explanation:
m<FED=60
This is because <GEN and <FED are vertical angles.
Vertical angles are always congruent.
Vertical angles are formed by a pair of intersecting lines, and are the angles directly across from one another.
m<DEN=120
This is because <DEN and <GEN are supplementary.
Supplementary angles add up to 180 degrees.
We know this because a straight line is always 180 degrees.
So:
m<DEN+m<GEN=180
m<DEN+60=180
m<DEN=120
I need help with this it’s URGENT!
Answer:
y = -7
Step-by-step explanation:
A horizontal line has an equation of the form
y = b,
where b = y-intercept
The y-intercept is -7, so the equation is
y = -7
Answer:
Y=-7
Step-by-step explanation:
No matter what x equals, y has to be equal to negative 7. For example i chose 3 to by X, the equation would still be (3,-7).
plz help I will make u brainllest
plzz
Answer:
36
Step-by-step explanation:
A midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle.So, FD is a midsegment. (D is a midpoint and so is F)
A midsegment connecting two sides of a triangle is parallel to the third side and is half as long.This midsegment connects the two sides EC and AE. The third, remaining, side is AC.
The midsegment is half as long as the third side.
FD = 18.
FD is half of the third side.
FD times 2 = third side.
18 times 2 = 36
The third side, AC, is 35 units long.
Words of encouragement:
Good luck!
easy 20 points pls answer i need it fast
Answer:
2.94117647
Step-by-step explanation:
17 x 2 = 34
50 -34 = 16
The answer is 2 with a remainder of 16
Help plz!!! First person to answer with a step by step explanation will get brainiest!!!
Suppose all of the points in the figure are equidistant. Start with your compass point on point B. To create a perpendicular bisector of be open the compass to _____
Answer: Open the compass to point D
Step-by-step explanation: You will draw an arch with a radius BD so it will be able to intersect above and below with another arc of the same radius drawn with the compass point on point D
Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?
Answer:
Abigail was four times faster in the skateboard than when she is walking
Step-by-step explanation:
Let the total distance to travel be d
distance traveled on skateboard = 2/3 * d = 2d/3
distance walked = 1/3 * d = d/3
So let the time taken to skate be t, then time taken to walk home will be 2t since it is 2 times longer.
Now, the speed on both trips is distance/time
For the snowboard trip, speed is 2d/3/t = 2d/3t
For the walking trip, distance would be;
d/3/2t = d/6t
So let’s compare these two speeds.
Obviously the speed on the skateboard is greater than that walking.
So we can equally divide the speed on the skateboard by that while walking to know how many times faster it is.
Thus, mathematically we have
2d/3t divided by d/6t
So that would be;
2d/3t * 6t/d = 4
So this means she was four times faster on the skateboard
Original grade 80 New grade 100 Find the percent of increase
Answer:
25%
Step-by-step explanation:
Percent change = 100 - 80
|80|
x 100 = 20
80
x 100 = 25
Answer:
25%
Step-by-step explanation:
An initial deposit of $1200 is put into an account that earns 5% interest compounded annually. Each year year an additional of $1200 is added to the account. Whats the value of the account after the 10th deposit if no withdraws or additional deposits are made.
Answer:
$1788
Step-by-step explanation:
1200 x 0.07 = 84
84 × 7 = 588
588 + 1200 = 1788
The value of the account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.
Calculation of the value:Since
The initial deposit is $1.200
The rate of interest is 5%
Now the future value be like
[tex]= (1,200 \times (1 + 0.05)^{9} - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= 1,200 \times (1.5513 - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= (1,200 \times 11.0265) \times (1.05) + 1,200[/tex]
= 13893.4711 + 1,200
= $15,093.47
hence, The value of the account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.
Learn more about rate here: https://brainly.com/question/14835033
identify an equation in point-form for the line perpendicular to y=-1/3x-6 that pass through -1,5
Answer:
y=3x+8
Step-by-step explanation:
Perpendicular to -1/3, is 3.
y-5=3(x+1)
y-5=3x+3
y=3x+8
Answer:
y - 5 = 3(x + 1).
Step-by-step explanation:
y = -1/3x - 6
The slope of this line is -1/3 so the slope of the perpendicular line to it is -1/-1/3
= 3.
Using the point-slope form of a straight line:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line:
Here m = 3 and (x1, y1) is (-1, 5) so we have:
y - 5 = 3(x - (-1))
y - 5 = 3(x + 1).
Please answer ASAP! (No explanation needed!) :)
Answer:
the answer is C
Answer: the answer is C
Step-by-step explanation:
What are the coordinates of point F? On a coordinate plane, point F is 4 units to the right and 2.5 units down.
whats the anser
(Negative 4, Negative 2 and one-half) (Negative 4, 2 and one-half) (4, negative 2 and one-half) (4, 2 and one-half)
Answer:
(4, -2.5)
which agrees with the third answer you typed: (4, negative 2 and one-half)
Step-by-step explanation:
If this is referred relative to the origin of coordinates (0, 0), then moving to the right 4 units makes x = 4.
Moving down 2.5 units makes y = -2.5
then the point you reach on the plane is given by the coordinates: (4, -2.5)
Answer:
Step-by-step explanation:
Four to the right means that x := 4
2.5 units down means that y = -2.5
The answer is (4,-2.5)
or
(four, and minus 2.5)
Is that the third one? I think it is.
Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus 3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work? the addition property of equality the identity property of addition the multiplication property of equality the identity property of multiplication
Answer:
Identity property of multiplication
Step-by-step explanation:
Given
Step 5: 1x = 20
Step 6: x = 20
Required
Property that justifies step 6
It should be noted that step 6 is a result of step 5.
So, basically the question is asking for the property applied on step 5.
Given that step 5 is: 1x = 20
The property applied is the identity property of multiplication.
This is so because this property states that when 1 is multiplied to an equation, the result remains the same.
Hence;
When 1 is multiplied to x (i.e. 1x), the result is still x.
So, 1x = 20 at step 5 gives x = 20 at step 6
Answer: Option B is the correct answer.
The identity property of addition
The revenue, in dollars, of a company that produces jeans can be modeled by 2x2+17x−175. The cost, in dollars, of producing the jeans can be modeled by 2x2−3x−125. The number of pairs of jeans that have been sold is represented by x. If the profit is the difference between the revenue and the cost, which expression can be used to find profit and what is that profit when 75 pairs of jeans are sold? 20x−50; $500 20x−50; $1,450 20x+50; $1,550 20x+50; $5,250
Answer: $1450
The profit that is gained from the production and selling of the jeans is given to be calculated through the the equation,
P = 20x - 50
For 75 jeans, we just have to substitute 75 to the x's of the equation. This then becomes,
P = 20(75) - 50 = 1450
Thus, the company will make a profit of $1450 by production of 75 jeans.
Step-by-step explanation:
The company will make a profit of $1450 by the production of 75 jeans.
Cost functions and revenueThe profit that is gained from the production and selling of the jeans is modeled by the equation;
P = 20x - 50
If 75 jeans are produced, substitute 75 to represent the value of x in the equation.
P = 20(75) - 50 = 1450
Hence, the company will make a profit of $1450 by the production of 75 jeans.
Larn more on functions and values here: https://brainly.com/question/10439235
Figure abcd is a rectangle. Find the value of EC
Answer:
13Step-by-step explanation:
Given: A rectangle ABCD in which diagonals AC and BD intersect at E.
AE = X + 11
CE = 6x + 1
To find: Find AC
solution,
The diagonals at a rectangle bisects each other. Hence, AE = EC
x + 11 = 6x + 1
Move the variable to L.H.S and change its sign
X - 6x + 11 = 1
Move the constant to R.H.S and change its sign
x - 6x = 1 - 11
Simplify
-5x = -10
Divide both side of the equation by 5
-5x/5 = -10/5
Calculate
-x = -2
The minus sign (-) will be cancelled on both sides
X = 2
Again,
EC = 6x + 1
= 6 * 2 + 1
= 12 + 1
= 13
Hope this helps...
Good luck on your assignment...
PLEASE HELP ILL MARK YOU BRAINLIEST Given the expression: 6x10 − 96x2 Factor the entire expression completely. Show the steps of your work.
Answer:
6x¹⁰ - 96x²
6x²(x⁸ - 16)
B) 6x²(x⁸ - 16)
6x²[(x⁴)² - 4²]
6x²[(x⁴ - 4)(x⁴ + 4)]
6x²(x⁴ + 4)[(x²)² - 2²]
6x²(x⁴ + 4)(x² - 2)(x² + 2)
Answer:
Step-by-step explanation:
Part A: The rewritten expression created by factoring out the greatest common factor is 6x2(x8 – 16).
Part B: The completely factored expression is 6x2(x4 + 4) (x2 + 2) (x2 – 2).
My work for Part B:
Step 1: Using the expression from Part A, we just simplify the inside of the parentheses as much as possible by using the difference of two perfect squares pattern:
6x2(x4 + 4) (x2 + 2) (x2 – 2).
Find the area of the triangle.
18.2 m
13 m
22.3 m
[ ? ] m2
Step-by-step explanation:
The area of triangle is 53.5m2
Answer: 118.2977 sq. m.
Step-by-step explanation:
Step 1: Calculate "s" (half of the triangles perimeter):
s = a+b+c / 2
s = (13 + 18.2 + 22.3) / 2
s = 26.75
Step 2: Then calculate the Area:
Herons formula
A = √( s(s-a)(s-b)(s-c) )
A = √(26.75 (26.75 - 13)(26.75-18.2)(26.75-22.3)
A = (3√9951535) /80
A = 118.2977 sq. m.
For a class project, a teacher cuts out 15 congruent
circles from a single sheet of paper that measures 6
inches by 10 inches. How much paper is wasted?
O (60 - 152) square inches
O 150 square inches
O 45 square inches
O (60 - ) square inches
Answer:
its 60-15(pie) sq inches
Step-by-step explanation:
A rectangular prism has a width of 3 inches, and height of 4 inches, and a width of 5 inches. if the height is is doubled, what happens to the volume?
Answer:
The volume doubles to 120
Step-by-step explanation:
Volume of Rectangular Prism Formula: V = lwh
Step 1: Find volume of given lengths
V = 3(4)(5) = 60 in²
Step 2: Find volume when we double h
4(2) = 8
V = 3(8)(5) = 120 in²
Step 3: Divide the 2 numbers to find the ratio
120/60 = 2, or double the amount.
A polynomial is factored using algebra tiles. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 8 tiles are in the Product spot in 2 columns with 4 rows: 1 is labeled + x squared, 1 is labeled + x, the 3 tiles below + x squared are labeled negative x, and the 3 tiles below the + x tile are labeled negative. What are the factors of the polynomial? (x − 1) and (x + 3) (x + 1) and (x − 3) (x − 2) and (x + 3) (x + 2) and (x − 3)
Answer:
The factors of the polynomial are:
(x + 1) and (x - 3).
Step-by-step explanation:
Consider the image attached.
The upper tiles shows: (x + 1)
And the left tiles shows: (x - 3)
So, the factors of the polynomial are:
(x + 1) and (x - 3).
Answer:
x+1 and x -3
Step-by-step explanation:
Solve the equation. Be sure to check your proposed solution by substituting it for the variable in the original equation 2(3x-3)-5-2(x-3)+ 15 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Type an integer or a simplified fraction.) O B. The solution set is {x x is a real number O C. The solution set is ø A chef has 10 brands of hot sauce. In how many ways can the chef pick 3 to mix into a gumbo? | different ways There are In order to start a small business, a student takes out a simple interest loan for $3000.00 for 9 months at a rate of 11.75% a. How much interest must the student pay? b. Find the future value of the loan a. The amount of interest is S (Round to the nearest cent as needed) b. The future value is $ (Round to the nearest cent as needed.) Use an algebraic equation to find the measure of each angle that is represented in terms of x. 2x+30° 2x+40 m & 2x+30° m & 2x+ 40°=
Answer and Step-by-step explanation:
(i) The solution for equation: 2(3x-3) - 5 = 2(x-3) + 15 is:
2(3x-3) - 5 = 2(x-3) + 15
6x - 6 - 5 = 2x - 6 +15
6x - 2x = - 6 + 15 + 6 + 5
4x = 20
x = 5
The solution x is a real number and equals 5.
(ii) Since the order of hot sauce that goes into the gumbo doesn't matter, use combination:
[tex]C^{10}_{3}[/tex] = [tex]\frac{10!}{3! (10-3)!}[/tex]
[tex]C^{10}_{3}[/tex] = [tex]\frac{10.9.8.7!}{3.2.1.7!}[/tex]
[tex]C^{10}_{3}[/tex] = 120
There are 120 ways of picking 3 sauces out of 10.
(iii) Interest is calculated as:
interest = principal*rate*time
Principal is the value of the loan;
Rate is how much it will increase;
Time is for how long the loan will be taken. In this case, time is 9/12 since it was for months;
Interest = 3000 * [tex]\frac{11.75}{100}*\frac{9}{12}[/tex]
Interest = 264.37
The interest the student will pay will be: $264.37.
Future Value = principal + interest
future value = 3000 + 264.37
future value = 3264.37
The future value for the student is $3264.37.
(iv) As shown in the image in the attachment, the sum of the equations equals 90:
2x + 30 + 2x + 40 = 90
4x = 20
x = 5
2x + 30 = 2.5 + 30 = 402x + 40 = 2.5 + 40 = 50The angles are 40° and 50°
Can someone help me please
Answer: valu of a
Step-by-step explanation: I Did the test
Answer:
The value of A affects the answer.
the picture is the qestion
While hovering near the top of a waterfall in a national park at 4096 feet, a helicopter pilot accidentally drops his sunglasses. The height h (t )of the sunglasses after t seconds is given by the polynomial function h (t )equals negative 16 t squared plus 4096. When will the sunglasses hit the ground?
Answer:
This means that the sunglasses will hit the ground after 16 secondsStep-by-step explanation:
Given the height h (t )of the sunglasses after t seconds modeled by the polynomial function h(t ) = -16t²+ 4096
Since the sunglasses hit the ground, the height of the glass on the ground will be 0feet. Substituting h(t)= 0 into the formula to know the time it takes the glass to hit the ground will give;
0 = -16t²+ 4096
0+16t² = 4096
16t² = 4096
Dividing both sides by 16;
16t²/16 = 4096/16
t² = 256
Taking the square root of both sides
√t² = √256
t = 16 seconds
This means that the sunglasses will hit the ground after 16 seconds
Express as a trinomial (2x-5) (3x-8)
Answer:
6x^2 -31x +40
Step-by-step explanation:
2x * 3x + 2x * - 8 + -5 * 3x -5 * -8 Distributive property
6x^2 -16x -15x + 40 Math
6x^2 -31x +40 Answer
REALLY QUICK!!! WILL GIVE BRAINLIEST!!!20 POINTS!!1
2) What is the value of the digit 2 in the number 529?*
12
20
29
200
Answer:
20
Step-by-step explanation:
2 in 529 is in the tens place - 10
So if 2 is in the tens place, we have 20 as the value of 2.
Answer:
the answer to ur question would be 20 B)
if f(x)=x/2+8, what is(fx) when x=10
Answer:
13
Step-by-step explanation:
[tex]f(x) = \frac{x}{2} + 8 \\ plug \: x = 10 \\ f(10) = \frac{10}{2} + 8 \\ f(10) = 5 + 8 \\ f(10) = 13 \\ \implies \: f(x) = 13 \\ [/tex]
Answer:
13Solution,
f(X)=[tex] \frac{x}{2} + 8[/tex]
X = 10 (Given)
Now,
finding the value of f(x) when X = 10
f(X)=[tex] \frac{x}{2} + 8[/tex]
Plugging the value of X
f(10)=[tex] \frac{10}{2} + 8[/tex]
[tex] \frac{10 + 8 \times 2}{2} [/tex]
[tex] \frac{10 + 16}{2} [/tex]
[tex] \frac{26}{2} [/tex]
[tex]13[/tex]
Hope this helps....
Good luck on your assignment...
A hockey stick is regularly $54.99, but is on sale for 20% off. What is the price of the hockey stick, including 13% tax?
Answer:
$49.71
Step-by-step explanation:
Take $54.99 - 20% to get $43.99 add 13% and get $49.71
Solve the system of equations. y=x^2-5 y=2x+3
None of these answers work. I believe you recorded the equations incorrectly.
Rewrite the equation by completing the square.
x^2 + 2x – 48 = 0
Answer:
(x+1)^2 = 49
x = 6 x = -8
Step-by-step explanation:
x^2 + 2x – 48 = 0
Add 48 to each side
x^2 + 2x =48
Take the coefficient of x
2
Divide by 2
2/2=1
Square it
1^2 =1
x^2 + 2x +1=48+1
x^2 +2x+1 = 49
(x+1)^2 = 49
Take the square root of each side
sqrt((x+1)^2) =±sqrt( 49)
x+1 = ±7
Subtract 1 from each side
x+1-1 = -1 ±7
x = -1+7 x = -1 -7
x = 6 x = -8
g(t)=-(t-1)^2+5
Over which interval does g have an average rate of change of zero?
Answer:
(0, 2)
Step-by-step explanation:
The graph of g(t)= -(t-1)^2+5 is an inverted parabola with vertex at (1, 5).
Making a table of t and g values would be helpful here:
t g(t) = -(t - 1)^2 + 5
------ -----
2 4
0 4
-1 1
1 5
We're looking for an interval on which the average rate of change is zero.
Note that this is the case on the interval (2, 4); g(0) = g(2) = 4, so the change in g is 4 - 4, or zero (0).
The average rate of change of [tex]g(t)=-(t-1)^2+5[/tex] is 0 in interval [tex]-1\leq t\leq 3[/tex].
Given,
[tex]g(t)=-(t-1)^2+5\\[/tex].
We have to find the interval in which [tex]g(t)=-(t-1)^2+5\\[/tex] have an average rate of change of zero.
We know that, the function [tex]f(x)[/tex] will have average range of 0 when [tex]f(b)=f(a)[/tex].
Now we calculate g(1), g(2),g(3) and g(-1),
[tex]g(1)=-(1-1)^2+5\\g(1)=5[/tex]
[tex]g(2)=-(2-1)^2+5\\g(2)=-1+5\\g(2)=4[/tex]
[tex]g(3)=-(3-1)^2+5\\g(3)=-4+5\\g(3)=1[/tex]
[tex]g(-1)=-(-1-1)^2+5\\g(-1)=-4+5\\g(-1)=1[/tex]
Since,
[tex]g(3)=g(-1)=1[/tex] so the function [tex]g(t)=-(t-1)^2+5\\[/tex] has an average rate of zero at [tex]-1\leq t\leq 3[/tex].
For more details follow the link:
https://brainly.com/question/2530409