Let C be between D and E. Use the segment addition postulate to solve for m. DC = 6m − 21 CE = 7m − 18 DE = 65 a. –3 c. 13 b. 5 d. 8
Answers
DC = 6m - 21
CE = 7m - 18
DE = 65
DC + CE = DE
6m - 21 + 7m - 18 = 65
13m - 39 = 65
13m = 65 + 39
13m = 104
m = 104/13
m = 8
DC = 6m - 21 = 6(8) - 21 = 48 - 21 = 27
CE = 7m - 18 = 7(8) - 18 = 56 - 18 = 38
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Solve the following linear inequality: 3(x + 4) ≥ 5x – 123
Which mathematical term cannot be defined for all cases in a system of geometry?parallel lines midpoint of a line segment distance along an arc diameter of a circle *more than one answer*
Help me with this problem please
Rachel plays a game by rolling two number cubes with side's numbered 1 through 6. To win the game, the sum of the numbers facing up must be 11. What is the probability that Rachel will win the game
b. horizontal bar graph.
c. line graph.
d. moving bar chart.
Answers
I need two variables and two equations. And please solve it.
Answers
k+5=2(j+5)
k+5=2j+10
k+5-2j=10
k-2j=5
since we know that right know Kate is 11 years older than Joey, you can write the equation k+j=11. Since you know have two equations with with the same variable, you can make a system of equations as fallows:
k-2j=5
k+j=11
Since you need to figure out how old Joey is, you need to somehow get k to cancel out. The easiest thing to do for this problem is to is multiply the top equation by -1 to get:
-k+2j=-5 (you have to add the bottom equation to the top equation)
k+j=11 (-k+k=0, 2j+j=3j, and -5+11=6)
Since k got canceled out, you are left with the equation 3j=6 which means j=2.
Therefore, Joey's current age is 2.
I hope this helps.
Answers
P=2L+2W
where L is the length and W is the width. Substitution of the given values will yield,
58=2L+2W (1)
The next thing that we have to do is to translate the relationship between the two variables, L and W, into a mathematical equation.
So we have
L=2.5W+1 (2)
Now we have two equations, we also have two unknowns, so this problem is solvable. Substitution of equation (2) in (1) yields
58=2(2.5W+1)+2W
58=5w+2+2w
58=7W+2
56=7W
8=W
Substitution of this value to equation (2) yields
L=2.5(8)+1
L=21
So, the dimensions of the rectangle are:, specifically, width is equal to 8 while length is equal to 21.
Answers
Answer:
The probability that Emma has heart disease and the test predicts heart disease is:
48%
Step-by-step explanation:
Let A denote the event that Emma has a heart disease.
and B denote the event that the test predicts accurate.
Hence, A∩B denote the event that Emma has heart disease and the test predicts heart disease.
From the given equation we have:
P(A)=0.6
and P(B)=80%=0.8
As we know that event A and event B are independent.
Hence, we have:
P(A∩B)=P(A)×P(B)
⇒ P(A∩B)=0.6×0.8
⇒ P(A∩B)=0.48=48%
Hence, the probability is:
48%
Answers
Answer: $13.11
Step-by-step explanation:
hope this helps!
How to solve for y
Answers
The solution of the given linearequation 5x+10=10y is .
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable.
The value of y can be calculated as:
5x+10=10y
Since, the equation is divisible by 5,
So, the equation becomes,
x+2=2y
Divide both sides by 2, to get the value of y
Thus, the value of y in the given equation 5x+10=10y is .
Learn more about equations here :
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So you get 5/10x +1=y
Or 1/5x+1=y