Answer:
x = 4
Step-by-step explanation:
Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{BA}{BC}[/tex] = [tex]\frac{AD}{CD}[/tex] , substitute values
[tex]\frac{x}{6}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3x = 12 ( divide both sides by 3 )
x = 4
In a fruit cocktail, for every 12 ml of orange juice you need 8 ml of apple juice and 50 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?
Answer:
6:25:4
Step-by-step explanation:
12 ml of orange juice:50ml coconut milk: 8 ml orange juice
its all divisible by 2
so it would be 6:25:4
please mark as brainliest!!
6(7 + x) + 5x
???? Help me
Answer:
11x+42
Steps:
42+6x+5x
42+11x
write an equivalent expression for 8x + 9
Answer:
8+8+8+8+8+8+8+8+8.
Step-by-step explanation:
Just add 8 nine times.
Answer:
9 + 8x
Step-by-step explanation:
it's the same but backwards
it's called a Palindrome
Hope this helped a little!
what’s the slope? thanks if you help me :)
need help FAST not sure
9514 1404 393
Answer:
7. obtuse
8. right
9. acute
Step-by-step explanation:
You can look at the difference ...
a^2 + b^2 -c^2
where c is the longest side. You can classify the triangle based on the result:
> 0 -- acute
= 0 -- right
< 0 -- obtuse
__
7. 7^2 +9^2 -15^2 = 49 +81 -225 = -95 ⇒ obtuse
8. 3^2 +4^2 -5^2 = 9 +16 -25 = 0 ⇒ right
9. 4^2 +5^2 -6^2 = 16 +25 -36 = 5 ⇒ acute
_____
There are several triangle solver apps and web sites available. Your graphing calculator may also solve triangles for you.
tether
42°
24°
B
A
d
Two support crew, Barry and Angela are assisting the flight of a hot air balloon.
Barry is holding a tether that is 38 metres long. The angle of elevation at B is 42
and the angle of elevation at A is 24°. What is the distance between A and B?
Round your answer to the nearest tenth of a metre.
Answer:
44.4
Step-by-step explanation:
I got it correct on my test
Helppp me faststttttt plzzzzz
Answer:
Step-by-step explanation:
x + 25 + 4x + 10 = 180
5x + 35 = 180
5x = 145
x = 29
<1 = 29 + 25 = 54
<2= 4(29) + 10 = 116 + 10 = 126
Lauren has a bag containing 6 red, 8 blue, 5 green, 9 yellow, and 2 white marbles that are all the same size and shape. What is the probability or randomly choosing a white marble on the first pick, not replacing it, and then randomly choosing a green marble on the second pick?
Answer:
can someone give us the answer if its independent or dependent
Step-by-step explanation:
 I WILL GIVE BRAINLIEST AND POINTS HELP PLEASE
Answer:
a) [tex]( -[/tex]∞[tex], -\frac{4}{3}[/tex][tex])[/tex] ∪ [tex](-\frac{4}{3}[/tex] , ∞[tex])[/tex]
b) [tex][-\frac{5}{2} ,[/tex] ∞)
Step-by-step explanation:
The domain of a function is known as the input. We need to find whatever set of numbers can be plugged into every x of a function so that the result is a real number.
a) This problem is a fraction alone, so we need to find out what input of x will make the denominator zero - that will be the number we "skip" when writing out the domain. This is because if the denominator were zero, then it would be 1 divided by 0, which would be undefined and therefore not a real number.
To find this number, we can just take the denominator and solve for x:
[tex]3x + 4 = 0[/tex]
[tex]3x = -4\\x = -\frac{4}{3}[/tex]
Therefore [tex](-[/tex]∞, [tex]-\frac{4}{3}[/tex]) ∪ [tex](-\frac{4}{3},[/tex] ∞[tex])[/tex] is our answer.
b) This problem is just a square root alone, so we need to find out what input of x will make the number inside the square root negative - that number, and the numbers less than it, will be the numbers that we "skip." This is because if the number inside the square root was negative, then it would produce an imaginary answer and not a real one.
A simple trick to find the domain would be to set the terms inside the square root greater than or equal to 0 then solve for x:
[tex]2x + 5\geq 0 \\2x \geq -5\\\\x \geq \frac{-5}{2}[/tex]
Thus, the domain would be any number greater than or equal to [tex]-\frac{5}{2}[/tex], which in interval notation would be written [tex][-\frac{5}{2} ,[/tex] ∞).
which number line model of the sum of 8 + -12 correctly
Answer:
U did not add a picture but if u do I will help.
Step-by-step explanation:
It should be 8 to the right and 12 to the left which should end at -4
Answer:
The answer is 4?? tell me if it's wrong or not.
One-third of Olivia age , increased by 12 , is equal to twice her age , decrease by 3. How old is Olivia
Answer:
she would be 9
Step-by-step explanation:
Answer:9
Step-by-step explanation:
Iced tea and lemonade sell for different prices per gallon at Chicken-Fill-Up. Two gallons of iced tea and 3 gallons of lemonade cost a total of $23.25. Five gallons of iced tea and 4 gallons of lemonade cost a total of $41.50. What is the price per gallon for each drink at Chicken-Fill-Up?
Answer:
the price per gallon for each drink is $4.5 and $4.75 respectively
Step-by-step explanation:
The computation of the price per gallon for each drink is as follows;
Let us assume the ice tea be x
And, lemonade be y
So the equations are
2x + 3y = $23.25 .......(i)
5x + 4y = $41.50 ................(ii)
Now multiplied by 5 and 2 in equation 1 and 2
10x + 15y = $116.25
10x + 8y = $83
7y = 33.25
y = $4.75
Now put the y value in any of the equation
2x + 3($4.75) = $23.25
x = $4.5
So, the price per gallon for each drink is $4.5 and $4.75 respectively
A. I and II ONLY
B. II and III ONLY
C. I and III ONLY
D. I , II and III
The statement supported the graph is
The axis of symmetry is x = 3
The coordinates of the y-intercept are (0,7)
What is axis of symmetry?A line that divides an object into two equal halves and produces a mirror-like reflection of each side of the object is known as an axis of symmetry.
1. The axis of symmetry is x = 3
The axis of symmetry is the central axis of the graph, which signifies the middle point of the graph. It is evident that this graph is centered on x = 3.
2. The coordinates of the y-intercept are (0,7)
The y intercept is the point where the graph meets the y-axis, that is, the value of y on the graph when x=0.
From the graph, the coordinates of the y-intercept is (0, 7)
3. The X-intercept is located at (-3,0)
The x intercept is the point where the graph meets the x-axis, that is, the value of x on the graph when y=0.
From the graph the curve x axis at x= 1.5 and x= 4.5
So, the x-intercept is truly located at (1.5, 0) and (4.5,0)
Learn more about axis of symmetry here:
https://brainly.com/question/29261552
#SPJ1
I need help quick plz
Answer:
The answer is two places to the right. For every 0 you move the decimal one place. And since the 100 is positive you move the decimal to the right.
Step-by-step explanation:
Answer:
Two places to the right
Step-by-step explanation:
Thus, 6.8×100=680
Kiera and her brother, Mitchell, are saving money to adopt a puppy. Kiera currently has $126
and plans to save an additional $14 each week. Mitchell currently has $42 and plans to save
an additional $20 each week.
How many weeks will pass before Kiera and Mitchell have the same amount of money? How
much money will they each have?
In _____
weeks, Kiera and Mitchell will each have $_____
Answer:
Step-by-step explanation:
Please help 0.8t+0.6t-t
Answer:
0.4t
Step-by-step explanation:
1.4t-t=0.4t
Hope this helps :)
Answer:
0.4t
Step-by-step explanation:
0.8t + 0.6t = 1.4t
1.4t-1t=0.4t
Please help I’ll give brainlist
Answer:
z= -30!!
Step-by-step explanation:
z - 8 = -38
+8 +8
z = -30
A hunter shot 7 ducks. The hunter's dog recovered 5/7 of the ducks. How many ducks were recovered
Answer:
I think it would be 5/7
Explanation:
The question states "The hunter's dog recovered 5/7 of the ducks.", so I am guessing it would be 5/7
Hope this helps :)
Answer:
5 Ducks
Step-by-step explanation:
It is given that there were 7 ducks and 7 of those were shot in total. 7/7
It is also given that the dog retrieved 5/7 of them.
So, 7/7-5/7=2/7
2 ducks were not recovered, and 5 were
Hope I helped
Find the slope of the line 3,0 and 0,-3
Answer:
1
Step-by-step explanation:
The slope of the line is 1. To find slope use the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], this calculates the change in y over the change in x. So plug in the known values [tex]\frac{0+3}{3-0}[/tex], this equals 3/3 or 1. This means every time y increases by 1, x will also increase by 1.
Describe the relationship between the terms in each arithmetic sequence. Then
write the next three terms in each sequence. (Examples 1 and 2)
Answer:
(a) The sum of the previous term and 9
(b) 36, 45, 54
Step-by-step explanation:
Given
Sequence: Arithmetic Progression
[tex]0,9,18,27[/tex]
Solving (a): Describe the relationship in each term
First, we calculate the common difference (d)
In arithmetic progression:
[tex]d = T_n - T_{n-1}[/tex]
Take n as 2
[tex]d = T_2 - T_{2-1}[/tex]
[tex]d = T_2 - T_{1}[/tex]
Where
[tex]T_2 = 9\ and\ T_1 = 0[/tex]
[tex]d =9-0[/tex]
[tex]d =9[/tex]
The relationship is: The sum of the previous term and 9
Solving (b): The next three terms
As said in (a) each term is derived from a sum of 9 and the previous term
So, we have:
[tex]Next\ Term = 27 + 9 = 36[/tex]
[tex]Next = 36 + 9 = 45[/tex]
[tex]Next = 45 + 9 = 54[/tex]
Hence, the next three terms are: 36, 45 and 54
Which of the following are solutions to the equation below?
Check all that apply.
6x2 - 2x + 36 = 5x2 + 10x
O A. 18
O B. -3
O C. 4
OD. -6
E-4
✓ F. 6
A delivery truck drove 52 miles per hour. It took 4 hours to travel between two towns. What is the distance between the two towns? Use the equation dert, where d is distance, r is rate, and t is time. The distance between the two towns is miles.
Answer:
104?
Step-by-step explanation:
52*4 = 208 ÷ 2 = 104
Find the number of sides of a regular polygon if one interior angle is 120 degrees.
A.4
B.6
C.3
D.5
Answer:
B. 6 sides
Step-by-step explanation:
Interior angles of a n side Regular Polygon = (180n – 360) / n
120 = (180n – 360) / n
120n =180n - 360
180n - 120n = 360
60n = 360
n = 6
check: sum of interior angles of 6 side polygon: 180 * (6-2) = 720
720/6 = 120
What is -7x3 =
Need answers asap!
Answer:
it is -21
Step-by-step explanation:
make it braintliest please
Answer:
-7×3 = -21Step-by-step explanation:
I hope it helps ❤❤Which number below best represents a depth of seven hundred and five-tenths meters below the ground?
A. -700 5/100
B. -700 5/10
C. 700 5/10
D. 700 5/100
Plz need help thank u sm
Answer:
x = 5
Step-by-step explanation:
Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.
6x - 5 = 5x (Given)
-5 = -x (Subtract 6x on both sides)
5 = x (Divide -1 on both sides)
Therefore, x = 5.
Answer:
x = 5
Step-by-step explanation:
Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.
Therefore, triangle GJH is an equilateral triangle.
Measures of all sides of an equilateral triangle are equal.
So,
6x - 5 = 5x
6x - 5x = 5
x = 5
girls:3
boys:2
If there are 50 students in the chorus, how many are girls and how many are boys? How do you know?
Answer:
30 are girls, and 20 are boys because every 3 out of five students are girls, and every 2 out of 5 students are boys.
Answer:
Step-by-step explanation:
30 girls, 20 boys. So easy!!!
Please help! I don't get it cause the person that was teaching it had horrible handwriting ;-;
Answer: power of a power
Step-by-step explanation:
in the expression (x^4)^9, 4 and 9 are powers. 9 is the power of x^4, so you have to multiply 4 by 9 to get x^36. this means it's a power of a power
Find the average rate of change of the tree over time. In 1965 the tree has a diameter of 135 in. And in 2005 it has a diameter of 139 in. B)Predict the diameter in 2035.
Answer:
0.1 in per year ; 142 in
Step-by-step explanation:
Giveb that :
Diameter of tree in 1965 = 135 inches
Diameter of tree in 2005 = 139 inches
Average rate of change:
Change in diameter / change in time
(139 - 135) / (2005 - 1965)
4 / 40
= 0.1 in per year
Predict diameter in 2035;
Initial diameter + (average rate of change * (Number of years from initial)).
135 in + (0. 1 * (2035 - 1965))
135 in + (0.1 * 70)
135 in + 7 in
= 142 in
I need the answer in radical form.
[tex]\sqrt[9]({5x^{4}y^{3}) 2[/tex]