The measure of side BC is 30 units.
Given:
Points A, B, and C are collinear and B lies between A and C.
[tex]AC=48[/tex]
[tex]AB=2x+2[/tex]
[tex]BC=3x+6[/tex]
To find:
The value of BC.
Solution:
Points A, B, and C are collinear and B lies between A and C. So,
[tex]AB+BC=AC[/tex] [Segment addition postulate]
[tex](2x+2)+(3x+6)=48[/tex]
[tex]5x+8=48[/tex]
Subtract 8 from both sides.
[tex]5x=48-8[/tex]
[tex]5x=40[/tex]
Divide both sides by 5.
[tex]\dfrac{5x}{5}=\dfrac{40}{5}[/tex]
[tex]x=8[/tex]
Now,
[tex]BC=3(8)+6[/tex]
[tex]BC=24+6[/tex]
[tex]BC=30[/tex]
Therefore, the value of BC is 30.
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The possible coordinates for G are -11 and 5.
Given:
On a number line, suppose point E has a coordinate of [tex]-3[/tex], and [tex]EG=8[/tex].
To find:
The possible coordinates of point G.
Solution:
Either point G lies 8 units left of point E or 8 units right of point E.
[tex]G=-3-8[/tex]
[tex]G=-11[/tex]
And
[tex]G=-3+8[/tex]
[tex]G=5[/tex]
Therefore, the possible coordinates for G are -11 and 5.
Learn more:
https://brainly.com/question/13071707
If the points on a scatterplot are clustered in a pattern that extends from the upper left to the lower right, this would suggest that the two variables depicted are: ________
a. normally distributed.
b. positively correlated.
c. regressing toward the average.
d. negatively correlated.
Answer:
B
Explanation:
im doing this for points :D
please help i’m abt to break down
Answer:
4= -5v-1
5= 3x
6= 9y-6
7= h-20
8= 29w-17z
9= 8mn-2n+5m
Step-by-step explanation:
first three that you did were correct! Hope it helps!
I don't know how to answer this |
6y-29=35
Answer:
s
Step-by-step explanation:
Going to sleep goodbye
= Section 2.A Homework Question 12, 2.A.76 Part 1 of 4 HW S Score Suppose that a certain basketball athlete earned $22,500,000 to play 80 games, each lasting 48 min a. How much did the athlete eam per game? b. Assuming that the athlete played every minute of every game, how much did he eam per minute? c. Assuming that the athlete played 2/3 of every game, how much did he earn per minute? d. Suppose that, averaged over a year, the athlete practiced or trained 32 hours for every game and his hourly salary? a. The athlete earned $ per game.
in 5abc what is the number of term
Answer:
5
Step by step explaination
help pls- I have an answer but need to know if its right.
Answer:
Close but the awnser is D. [] is used after you use ()
Step-by-step explanation:
Lets say {f(x)=13-2x[5^3 x 19^2(14^3x x1^0) 23^12] 12^2}
POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!HELP!!!!!!!!!!!!!plz...........
[tex](\frac{2^5}{3^2})^4=\frac{2^{5\cdot4}}{3^{2\cdot4}}=\frac{2^{20}}{3^8}\\\\\text{Answer: A)}[/tex]
If RT=36 find the value of x
Answer:
I need more details for the problem.
please help multyplying monomials
Which is the best estimate of 90 square root
Answer:
9.486
Step-by-step explanation:
the best estimate of 90 square root is 9.486
What happens to a line segment when you rotate around an endpoint?
A It reverses the vertices
B. It doubles the line
C. It creates a parallel line
D. All of the above
Answer:
A) It reverses the vertices
hope it helps.
HELP PLZ WILL MARK THE BRAINLIEST -Solve the compound inequality 6b < 24 or 4b + 12 > 4.
A) b < 4 or b > −2
B) b < 4 or b > 4
C) b < 4 or b > 2 D)b > 4 or b < −2
help please I'm really struggling
Answer:
a).
[tex](fog)(x) = f(g(x)) \\ = (3x + 1) + 4 \\ = 3x + 5 \\ [/tex]
b).
[tex](gof)(x) = g(f(x)) \\ = 3(x + 4) + 1 \\ = 3x + 12 + 1 \\ = 3x + 13[/tex]
c).
[tex](fog)( - 2) = 3( - 2) + 5 \\ = - 6 + 5 \\ = - 1[/tex]
d).
[tex](gof)( - 2) = 3( - 2) + 13 \\ = - 6 + 13 \\ = 7[/tex]
I hope I helped you^_^
in her pocket, Kira has 2 red marbles, 2 green marbles, 2 blue marbles that are all the same size. If Kira picks a marble one marble from her pocket without looking, what is the probability that it could be red or green?
Answer:
2 in 3 chance of getting a red or green marble
Answer:
31% or 32% because there is three categories
Plz help I am very confused I need help now plz
Answer:
-21
remember that when there is a positive and negative sign the product will always be negative
To win a certain lotto, a person must spell the word big. Sixty percent of the tickets contain the letter b, 30% contain the letter i, and 10% contain the letter g. Find the average number of tickets a person must buy to win the prize. (30)
Answer:
30
Step-by-step explanation:
The zero of the function is?
Find the quotient. Write the remainder as a decimal.
Answer:
1. 2.8 2. 1.24 3. 1.75 4. 2.375
Step-by-step explanation:
brainliest pls
what insect is this??
Answer:
it's either an ant, small beetle, black termite, or something
Step-by-step explanation:
plz help will mark brainliest!!!
The quotient of three more than a number and six is nine.
The quotient of three more than a number and six is nine.
[tex] \underline{ \boxed{ \large{ \sf{ \frac{(3 + n)}{6} = 9}}}}[/tex]
The value of the unknown number is 51
From the given statement we can form the following equations;
let the unknown number = x
Three more than a number:
= 3 + x
The quotient of three more than a number and six:
[tex]= \frac{x+ 3}{6}[/tex]
The result of this division is 9;
[tex]\frac{x+ 3}{6} = 9[/tex]
The value of this unknown number is calculated as;
[tex]\frac{x+ 3}{6} = 9\\\\x+3 = 54\\\\x = 54 - 3\\\\x = 51[/tex]
Thus, the value of the unknown number is 51
Learn more here: https://brainly.com/question/603134
Which number line below shows the set of numbers graphed correctly
Answer:
The number line shows the graph of an inequality: A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the third mark to the left of 0. The region to the left of the empty circle is shaded. Which statement explains whether −3.5 can be a value in the shaded region? Yes it can, because −3.5 lies to the right of −1.5. No it cannot, because −3.5 lies to the left of −1.5. Yes it can, because −3.5 lies to the left of −1.5. No it cannot, because −3.5 lies to the right of −1.5.
Answer:C
Step-by-step explanation:
Solve 6x + 3) = 21.
A. x = -3 and x = -4
O B. x = 3 and x = -3
C. X = -3 and x = 4
D. x = 3 and x = -4
Answer:
×=3
Step-by-step explanation:
6x +3) =21
6x=21 - 3
6x/6x=18/6
x=3
suppose c>d. explain why the following inequalities are true:
2c+11>2d+11
thank youu
Answer: Optional
Step-by-step explanation:
Since c is greater than d, 2c would be greater than 2d, because when it’s like this 2c
It sometimes means multiply.
evaluate 7m + 3mn when m=8 and n=14
Answer:
392
Step-by-step explanation:
7(8) + 3(8)(14)
56 + 336
=392
*Brackets mean to multiply.
find the perimeter of the square whose length is 7 cm
Answer:
28
Step-by-step explanation:
7x(sides) 4 sides because it's a square and equal side cause it's a square so 7 x 4 = 28
Answer:
perimeter of square is 4L 4*7=28the difference of Donnie's height and 10 is 43
Answer:
this question is missing something
The circumference of a drain pipe is 12.5cm. Find the radius. Round to the nearest tenth of the centimeter.
The wind blew away 33 of your muffins. That was 3/4 of all of them! With how many did you start
Answer:
44
because each that's ¼ has 11 so 11x4 =44