AC=37
BC=5X+6
AB=2X + 3
2x + 3 + 5x + 6 = 37
7x + 9 = 37
7x = 28
x = 4
BC = 5(4) + 6
BC = 26
Answer = BC = 26
M is the midpoint of CB, CM = 3x+1, and MB = 5x−9.
Determine the value of x.
Answer:
x = 5
Step-by-step explanation:
Since both sides are given, set both sides equal to eachother.
3x + 1 = 5x - 9
Segment CM is on the left and segment MB is on the right. From now on, solve for x.
Step 1: Isolate x by itself by subtracting the lesser value
3x + 1 = 5x - 9
-3x -3x the x's on the left cross out
---------------------
1 = 2x - 9
+9 +9 having x on one side
----------------
10 = 2x
__________________________________________________________
Step 2: Divide each side by 2 to get rid of x's coefficient
10 = 2x
/2 /2
----------
5 = x
Solution: x = 5
__________________________________________________________
Solving for CB: Substitute x for both sides since x = 5
3(5) + 1 = side CM
15 + 1 = side CM
16 = side CM
__________________________________________________________
Solving for CB: Solve for the other side (segment MB)
5(5) - 9 = side MB
25 - 9 = side MB
14 = side MB
__________________________________________________________
Solving for CB: Lastly, add up the sides
16 + 14 = segment CB
30 = segment CB
__________________________________________________________
Applying the knowledge of midpoint of a segment, the value of x = 5.
Given:
[tex]CM = 3x+1\\\\MB = 5x-9[/tex]
To solve this, we would apply our knowledge of Midpoint of a Segment to create an equation that will help us solve for the value of x.
Since M as a midpoint of CB, will divide CB into equal segments.Thus:
Given that M is a midpoint of CB, therefore,[tex]CM = MB[/tex]
Substitute[tex]3x + 1 = 5x - 9[/tex]
Collect like terms[tex]3x - 5x = -1 - 9\\\\-2x = -10[/tex]
Divide both sides by -2[tex]x = 5[/tex]
Therefore, applying the knowledge of midpoint of a segment, the value of x = 5.
Learn more here:
https://brainly.com/question/17877300
Find the common difference of the arithmetic sequence –8, -2, 4, ...
Answer:
d = 6Step-by-step explanation:
[tex]a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6[/tex]
find the root of 5x-2=0
x=?
Answer: 4
Step-by-step explanation:
If you multiply 5x-2 you will get -10
Do all the steps and you get 4
Therefore your answer is 4.
Which statements are true about the solution of 15 > 22+ x? Select three options.
OX-7
XS-7
The graph has a closed circle.
U -6 is part of the solution.
O-7 is part of the solution.
Answer:
[tex]x \leqslant - 7 \\ the \: graph \: has \: a \: closed \: circle \\ - 7 \: is \: a \: part \: of \: the \: solution[/tex]
jason buys 2 baseball bats for $300 what is the unit rate per bat
Answer:
300/2= $150
Hope this is what you are looking for!
Simplify the expression 32a769. Assume a = 0 and b +0.
Enter the correct answer in the box.
Answer:
2a^2b^3 ^3squareroot4a
Step-by-step explanation:
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1500. How much would the law firm charge the client daily if 9 associates and 4 partners were assigned to the case? How much would the law firm charge the client daily if aa associates and pp partners were assigned to the case?
Answer:
$8700
Step-by-step explanation:
Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.
Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.
Then add the two together like this: $7200+$1500= $8700.
Answer:8000
Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.
Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.
Then add the two together like this: $7200+$1500= $8700.
can someone please simplify this? :)
9x(8 * 9y) + 4
Answer:
648xy+4
Step-by-step explanation:
9x*72y + 4 = 648xy+4
1. Fill in the chart
Words
Expression
The Value of the Expression
a. 50 times the sum of 64 and 36
50 x 64 + 36 )
5000
b. Divide the difference between
1,200 and 700 by 5
(1,200 - 700): 5
100
C. The sum of 3 fifteens and 17
fifteens
45 + 255
d. 15 times the sum of 14 and 6
e.
10 x (250 +45)
f.
(560 + 440) x 14
Answer:
See answers in bold
Step-by-step explanation:
Words Expression
The Value of the Expression
a. 50 times the sum of 64 and 36 ... 50 x (64+36) = 50x (100) = 5000
50 x 64 + 36 )
5000
b. Divide the difference between 1,200 and 700 by 5 ...(1200-700) / 5 = 500/5 = 100
(1,200 - 700): 5
100
C. The sum of 3 fifteens and 17 fifteens ... [tex]\frac{3}{15}[/tex] + [tex]\frac{17}{15}[/tex] = [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex]
45 + 255
d. 15 times the sum of 14 and 6 ... 15 x (14 + 6) = 15 (20) = 300
e.
10 x (250 +45) ...10 times the sum of 250 and 45
f.
(560 + 440) x 14... 14 times the sum of 560 and 440
Hope this helps
PLS HELP I WILL GIVE BRAINLIEST
Answer:
C.) 8
Step-by-step explanation:
1 1/2 / 3/16 = 8
Answer:
Its c
Step-by-step explanation:
you convert 1 1/2 into 1 8/16, divided by 3/16. which gives you your answer.
Write each phrase as an expression. 8 increased by a number x
Answer:
8x (i think is the answer)
Step-by-step explanation:
because the starting number is 8
and is being multiplied by unknown number (x)
Someone please help me
Answer:
a
Step-by-step explanation:
I have five blue tiles, fourteen green tiles, sixteen yellow tiles and fifteen red tiles in a bag. I shake the bag, reach in, and pull out a random tile. what if the probability the tile is yellow or green
its yellow bro easy
comon man
B
15
C
А.
Find the length of "a"using
the Pythagorean Theorem.
Answer:
a = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseStep-by-step explanation:
Step 1: Identify
We are given a right triangle. We can use PT to solve for the missing length a.
Step 2: Define
hypotenuse c = 15
leg b = 9
leg a = ?
Step 3: Find missing length a
Substitute in variables: a² + 9² = 15²Isolate a term: a² = 15² - 9²Exponents: a² = 225 - 81Subtract: a² = 144Isolate a: a = ±12Since we are not dealing with a quadrant triangle, we can disregard the negative root of the quadratic.
∴ a = 12 is our final answer.
simplify this expression: 3c + 7 - 9c
Answer:
-6c + 7
Step-by-step explanation:
To simplify this expression, you must add like terms. Because 3c and -9c both have the same variable (c), they are like terms.
3c + (-9c) = -6c
The 7 stays the same, so the simplified expression is -6c + 7.
Hope this helped :)
Find the slope, please.!!!!!!!!!!!!!!!!!
Answer:
I think it's one.
Step-by-step explanation:
I took this two year ago.
Answer:
the slope is 1
Step-by-step explanation:
up one over one aka 1/1 = 1
p-1/4=5 1/4
(Change mixed number into a improper fraction first.)
PLZ HELLP WILL GIVE BRAINLY
please help fast :(
A box contains five $1 bills, three $5 bills, one $10 bill and one $20 bill. Construct a PROBABILITY DISTRIBUTION for the data and DRAWA GRAPH. (Take a picture and submit with the test when you are done)
Answer:
Step-by-step explanation:
yes
1.)which of the following actions is NOT a form of transformation
a.) Reflection
b.) Rotation
c.) Dilation
d.) Draw
2.) If two shapes are congruent they must have...
a.) the right angle
b.) the same area
c.) the same perimeter
d.) the same shape and size
3.) If two shapes have the same area and perimeter....
a.) then the two shapes must be congruent
b.) then the two shapes have the same size
c.) the two shapes may not be congruent
d.) then the two shapes have four sides
Answer:
1. d
2. d
3. c
explanation
1. reflection, rotation, and dilations are all transformations
2. congruent shapes have to have the same shape and size, meaning they also have the same angle measures
3. sometimes, shapes may have the same area and perimeter but be different
PLS HELP ME ASAP!!!!
In 2 hours, a canoeist can go 40 km downstream but only 6 km upstream. Find the rate of the current and the canoeist.
Answer:
20 Km per hour.
A trapezoid. Sides R U and S T are parallel.
Examine the trapezoid. Which sides are parallel?
sides RU and ST
sides RS and ST
sides ST and UT
sides RS and UT
Answer:
Sides RU and ST
Step-by-step explanation:
Just did the quiz
hurry points first 2 and hurry plz have a good day /night
Which set of ordered pairs represents a function?
{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}
Answer:
2nd choice
Step-by-step explanation:
1) I can see that the x-input a repeated but has a different y-output.
2) None of the x-inputs repeated, y-outputs repeated, a function is when two if the same x-inputs have the same y-output, so y-outputs can be repeated with different x-inputs but the reverse if false.
3) And again there and two -2 input with different out puts so its not a function.
4) -3 repeated with different outputs so its not a function
hope this helps you :)
Can someone help me with the questions in the picture?
Answer:
1) Isosceles - 2 sides are the same.
2) Scalene - all the sides are different, and an oblique angle.
3) Right Triangle - it has a right angle
4) isoscele - 2 sides are the same it has acute angles.
5) Scalene - all the sides are different, and an oblique angle.
6) equilateral - all the sides and angles are the same.
Step-by-step explanation:
what is the next best rapper I NEED TO KNOw
Answer:
JJ ice fish
Step-by-step explanation:
Answer:
Cardi B
Step-by-step explanation:
Solve: ( 1/9 )^6·81^4
Answer:
Either- 200778.9263 or 81
Step-by-step explanation:
Type this into the calculator:
First: (1/9)^6= 1.881676423x10^-6
Then: 81^4= 43046721
Then multiply the two: (1.881676423x10^-6)x 43046721= 200778.9263
Or
Try this- type ((1/9)^6)x(81^4) into the calculator which comes out to 81
((1/9)^6)x(81^4)=81
Depends on which level you are at in math.
9514 1404 393
Answer:
81
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
1/a^b = a^-b
(a^b)(a^c) = a^(b+c)
__
[tex]\left(\dfrac{1}{9}\right)^6\cdot81^4=9^{-6}\cdot(9^2)^4=9^{-6}9^8= 9^{-6+8}=9^2\\\\=\boxed{81}[/tex]
FIRST TO ANSWER WITH IT CORRECT GETS 50 POINTS AND A BRAINLIST THING
Answer:
2. 36
3. 8
4. 64 - 32
5. 7
I hope that this helps you, I'm not sure if number 4 is correct, but I am 100% sure that the rest are correct. I did the math for all of the questions and they should all be correct. I hope you have a wonderful evening!
A real estate agency sells a house for $315000. The real estate agent earns a commission of 5 3/4%. The real estate agency keeps 10 1/8% of the sale. Taxes take 4 1/8%, and the rest goes to the seller. How much does the seller get from the sale of the house?
Answer:
$252000
Step-by-step explanation:
Amount of real estate without commission = $315000
Total percentage commission on sale = 5 3/4 + 10 1/8 + 4 1/8
5 3/4 + 10 1/8 + 4 1/8 = 23/4 + 81/8 + 33/8
23/4 + 81/8 + 33/8 = 46+81+33/8
23/4 + 81/8 + 33/8 = 160/8
23/4 + 81/8 + 33/8 = 20%
Hence the total percent commission is 20%
Commission amount = 20% of $315000
Commission amount = 20/100 * 315000
Commission amount = 0.2*315000
Commission amount = $63000
The amount the seller get = $315000 = $63000
The amount the seller get= $252000
Michael is building a fence around his garden to keep the rabbits out. The perimeter of his garden is 42 feet. If the length of the garden is 5 more than the width, what are the dimensions of the fence? Hint: draw a rectangle, and label all 4 sides for the length and width, given what you know this is the last question on my test please help me
how to write this numbers in word 89.04
Answer:
eighty-nine point zero four
Step-by-step explanation:
Answer:
u mean 89.04 = eighty-nine point zero four?
Step-by-step explanation:
Estimate the difference.
6.11 - 1.2
Answer:
5.9
Step-by-step explanation:
Answer:
it is 5.9
Step-by-step explanation: