"FG = 14 is the answer
The two angles, <FDG and <DGF, and the non-included side, DF in ∆FDG re equal to the corresponding two angles, <EDF and <DEF, and non-included side, DF in ∆EDF. Therefore, both triangles are congruent by AAS.
This implies that:
n + 9 = 4n - 6
Collect like terms
n - 4n = -9 - 6
-3n = -15
Divide both sides by -3
n = -15/-3
n = 5
✔️FG = 4n - 6
Plug in the value of n
FG = 4(5) - 6
FG = 20 - 6 = 14"
Which of the following represents the fastest speed in miles per hour?
a. 8 miles in ⅙ hour b. 10 miles in ⅕ hour c. 6 miles in ⅐ hour
Answer: B 10 miles in 1/5 hour
Step-by-step explanation:
If you can Awnser ur a god and my best friend
In the figure, c ∥ d. What are the measures of ∠1 and ∠2? Enter your answers in the boxes.
AlternativeText
m∠1 = °, m∠2 =
Angle 1 is 105 degree
Angle 2 is 75 degree
Help plz please help!!!
Step-by-step explanation:
Hey there!
3x + (4x+5)° = 180° {sum of co-interior angle 180°}
7x= 180°-5°
7x= 175°
[tex]x = \frac{175}{7} [/tex]
Therefore, X= 25°.
Hope it helps...
Are these equations the same ? True or false.
10 - x ≤ 35
- x ≤ 35 - 10
- x ≤ 25
x ≥ - 25
true
can you help me on this question?
Answer:
0? and 14?
Step-by-step explanation:
thats what I see im so sorry if im wrong
If a sphere with diameter d is inscribed in a cube with side length e, what is the relationship between d and e?
Answer:
d = e
Step-by-step explanation:
An inscribed sphere in a cube will have a diameter equal to the edge length of the cube:
d = e
__
The distance between the faces of the cube is the same as the edge length.
The volume of a rectangular prism having length 5m width 6m and height 8 m. what is the volume of the figure
Answer:
someone pls correct me if im wrong but your supposed to do L x W x H
Step-by-step explanation:
so you would do 5x6x8
not sure if that is right or not that what we did in class hope that helps =)
Answer:240
Step-by-step explanation:
5*6*8=240
NEED HELP ASAP! SOLVE THE SYSTEMS OF EQUATIONS AND SHOW YOUR WORK *
Evaluate.
5⋅4^0
1. 0
2. 4
3. 5
Or 4. 20
zoe watched 6 episodes of her favorite online video series in 1.5 hours . She spent the same time watching each episode . What is the unit rate of hours to episodes?
Answer:
15 min
Step-by-step explanation:
6 episodes in 1.5 hrs.
1 episode in 1.5/6 hr.
i.e. 1.5*60/6 min
=15 min
Which of the following set of coordinate pairs represent a function?
1. (-5, 3), (-1, 0), (3,-4), (-1,2)
2. (0,-4), (5,3), (-4,3), (3,2)
3. (1,5), (-1, 3), (3, 4), (1, 2)
4. (4, 4), (4, 3), (4, 2), (4, 1)
I'm absolutely certain that the answer is 2. (0,-4), (5,3), (-4,3), (3,2) because in a function, x does not repeat
I hope this helps, love!
Consider the functions: f(x) = x2 + 4x – 1 and g(x) = 2x + 5. See graphs alongside. a) Identify each curve b) Find the coordinates of points A, B,..., c) Confirm your calculations by using technology
Step-by-step explanation:
try the option shown in the attachment.
Finally,
[tex]A(-2-\sqrt{3};0);[/tex]
[tex]B(-1-\sqrt{7};3-2\sqrt{7});[/tex]
[tex]C(-2+\sqrt{3};0);[/tex]
[tex]D(-1+\sqrt{7};3+2\sqrt{7});[/tex]
[tex]E(0;5);[/tex]
[tex]F(-\frac{5}{2};0);[/tex]
[tex]G(-2;-5).[/tex]
in order to calculate the points E & F it is needed to solve the equations y=2*0+5 and 2x+5=0;
in order to calculate the vertex G it is needed to find x-coordinate:
x=(-4)/(2*1)=-2 and to substitute x=-2 into y=x²+4x-1 (y=-5).
someone help with this please
The radius of a circle is 12 meters. What is the circle's area
Answer:
452.16 m²
Step-by-step explanation:
Given :-
Radius = 12 m
To Find :-
Area
Formula Required :-
Area (circle) = πr²
Solving :-
Area = 3.14 x 12 x 12
= 3.14 x 144
= 452.16 m²
Solution :-
452.16 m²
Answer:
144
Step-by-step explanation:
A=πr^2
Where:
A
is the Area of the Circle: what we are solving for in this problem.
r
is the Radius of the Circle: 12 meters for this problem
Substituting and calculating
A
gives:
A=π(12)^2m^2
A=π144m^2
A= 144m^2
This circle would have an area of 144 square meters.
Marlena solved the equation 2x + 5 = –10 – x. Her steps are shown below.
2x + 5 = –10 – x
3x + 5 = –10
3x = –15
x = –5
Answer:We are asked to evaluate Marlena's solution in solving the expression below: 2x+5 = -10 -x
The first step is to re-write the expression and transpose same terms in the left side while all numbers are transferred to the right side such as shown below:
Step 0: 2x+5 = -10 -x
Step 1: 2x + x = -10 -5
Step 2: 3x = -15
Step 3: x =-15/3
The answer is x=-5.
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
Identify the slope and point of the equation y-2=-4(x+3)
m= ,point( )
Answer:
m = -4
point = (-3,2)
Step-by-step explanation:
this is point slope form. y-y1=m (x-x1)
you can find the points from this and the slope. point = (x1,y1)
The speed limit on a road is 45 mph. you want to clock the speed of a random sample of cars to test the hypothesis that the average speed of cars is greater than the speed limit. what kind of test would you use?
The test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test
When do we use one sample t-test?When we want to find out from the sample if the unknown population mean is different from some specific value, then we can use one sample t-test.
The test statistic is:
[tex]t = \dfrac{\overline{x} - \mu_0}{s/\sqrt{n}}[/tex]
where we have:
[tex]\overline{x}[/tex]= mean of the samples = sample standard deviation[tex]\mu_0[/tex] = the specific value we're comparing population mean with.n = sample sizedegree of freedom = n - 1For this case, we want to test the hypothesis that the average speed of cars is greater than the speed limit.
That means we want to know if
unknown population mean (the average speed of cars) > speed limit (45).
symbolically, we want to test if [tex]\mu > 45[/tex] (in miles per hour)
Thus, the test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test
Learn more about one sample t-test here:
https://brainly.com/question/25316952
Answer: Right-tailed test
Step-by-step explanation:
I just got it right on edu
can someone help me with this?
what is distance between these two points (-1,-3) (1,3)
Solve for x in the circle below. Show your work, equations, and mark your answer.
Answer:
x = -8
Step-by-step explanation:
The sum of arcs of a semicircle is 180°. That means the arc whose measure is -11x+12 has a measure of 180° -80° = 100°.
-11x +12 = 100
-11x = 88 . . . . . . subtract 12
x = -8 . . . . . . . divide by -11
4. A deposit of $4000 is made into a savings account that pays 2. 48% annual interest rate compounded quarterly.
A = P(1 + 3)"
A - amount in account
P = principal invested
r = annual interest rate
n = number of times per year that interest is compounded
t = number of year
How much money will be in the account after three years?
The total amount accrued, principal plus interest, with compound interest on a principal of $4,000.00 at a rate of 2.48% per year compounded 4 times per year over 1 years is $4,100.13.
Compound interest CalculationGiven Data
Principal p= $4000Rate r = 2.48%Time = 1 yearA = P + I where
P (principal) = $4,000.00
I (interest) = $100.13
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.48/100
r = 0.0248 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 4,000.00(1 + 0.0248/4)^(4)(1)
A = 4,000.00(1 + 0.0062)^(4)
A = $4,100.13
Learn more about Compound interest here:
https://brainly.com/question/24924853
Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.
−5
-1/5
1/5
5
Answer:
k = -5Step-by-step explanation:
Given
Functions f(x) and g(x) = k⋅f(x)
1. As per the graph, f(x) is increasing but g(x) is decreasing function, so k is negative2. Function g(x) is steeper than f(x), so k = - 5Answer:
third one
Step-by-step explanation:
PLEASEEEE HELP QUICK THIS IS DUE TONIGHT I WIL GIVE BRAINLIEST!!
Answer: 2
Step-by-step explanation:
y2 - y1/ x2 -x1 = Slope
-9-3/0-6
-12/-6
x = 2
Complete the function for this graph.
Answer:
-4
Step-by-step explanation:
The function for this graph is :
y = | x | + (-4)
It intersects the y-axis at (0, -4)
[tex]\\ \rm\Rrightarrow y=|x-h|+v[/tex]
[tex]\\ \rm\Rrightarrow y=|x-0|+(-4)[/tex]
[tex]\\ \rm\Rrightarrow y=|x|-4[/tex]
A cone has a radius of 6 inches and a height of 20 inches.
What is the EXACT volume of the cone?
Answer:
753.98224
Step-by-step explanation:
v=pie r^2 h/3=piex6^2x20/3=753.98224
helo guys i need help with this question
Find the perimeter of the figure below, in feet
(Note: Diagram is NOT to scale)
Answer:
56.6 ft
Step-by-step explanation:
→ Perimeter = All sides added together
5.2 + 5.2 + 7.7 + 7.7 + 7.7 + 7.7 + 7.7 + 7.7 = 56.6
Answer:
56.6
Step-by-step explanation:
Perimeter is just adding all the outer value of an shape
So we add all the answers
5.2 + 5.2 + 7.7 + 7.7 + 7.7 + 7.7 + 7.7 + 7.7 = 56.6
but there is easier way
5.2 x 2 = 10.4
7.7 x 6 = 46.2
10.4 + 46.2 = 56.6
at the end don't forget to add "ft"
Answer = 56.6 ft
Hope you understand
:-)
Brainliest given to correct answer.
Perimeter of a right triangle : 3 units , 5 units, 4 units
Surfaces of a three-dimensional figure
5ft, 7 ft, 3 ft
Volume of a three-dimensional figure
4m , 10 m , 3 m
Refer to picture below:
Answer/Step-by-step explanation:
Perimeter of a right triangle : 3 units , 5 units, 4 units
Perimeter = 3 + 4 + 5 = 12
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Surfaces of a three-dimensional figure: 5ft, 7 ft, 3 ft
Surfaces area: 2(7*3)+2(7*5)+2(3*5)
= 142 square feet
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Volume of a three-dimensional figure: 4m , 10 m , 3 m
Volume = 10 * 4 * 3 = 120 cubic meter
~Lenvy~
Answer:
Step-by-step explanation:
Perimeter of a triangle = sum of 3 sides
= 3 + 4 + 5
= 12 units
Surfaces of a three-dimensional figure = sum of 3 pairs of surfaces
= 5*7*2 + 7*3*2 + 3*5*2
= 70 + 42 + 30
= 142 square fts
Volume of a three-dimensional figure = length*width*height
= 4*10*3
= 120 m^3
need help with thiss
Answer:
10n^2 + 2n + 16
Step-by-step explanation:
Rectangles have the same length and same width. So we can deduce that the top side is 5n^2 - 1, and the left side is n + 9.
Now all we need to do is add all 4 sides up:
(5n^2 - 1) + (5n^2 - 1) + (n + 9) + (n + 9)
or
2(5n^2 - 1) + 2(n + 9)
= 10n^2 - 2 + 2n + 18
= 10n^2 + 2n + 16