B’B is 3.5
Step-by-step explanation:
Segment A'B' is parallel to segment AB.
So, The length of segment AB is 7.5 units
The length of segment B'B is 3.5 units
Given :
Segment A'B' is parallel to segment AB. Few sides of the triangle is given.
Apply basic proportionality theorem
When A'B' is parallel to segment AB then sides are proportional
[tex]\frac{CB'}{B'B} =\frac{CA'}{A'A}[/tex]
Substitute the values
[tex]\frac{7}{B'B} =\frac{6}{3} \\cross \; multiply\\7(3)=B'B(6)\\21=B'B(6)\\Divide \; by \; 6\\B'B= \frac{21}{6} \\B'B=3.5[/tex]
Now we find AB by making a proportion
[tex]\frac{CA'}{CA} =\frac{BA'}{BA} \\\frac{6}{9} =\frac{5}{AB} \\Cross \; multiply\\6(AB)=5 \cdot 9\\6AB=45\\Divide \; by \; 6\\AB=7.5[/tex]
The length of segment AB is 7.5 units
The length of segment B'B is 3.5 units
Learn more : brainly.com/question/21274470
How would you graph the result of -3 + 5 as a point on the number line?
two places to the right of zero
two places to the left of zero
eight places to the right of zero
eight places to the left of zero
Jasmin's dog weighs 62 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 40 pounds.
Jasmin's dog can lose an average of 3 pounds every week. Write the solution to an inequality that describes all possible number of weeks
z for which her dog can be at a healthy weight.
Answer:
62-3z ≤ 40
Step-by-step explanation:
62 is the starting point. jasmin's dog can lose 3 lbs per week and z represents the number of possible weeks. then we know it has to be less than or equal to 40. so put that there.
Please help me with this :((
Answer:x=5 or F
Step-by-step explanation:(8x+6)/(5x-2)=2, because it is the midsegment, cross multiply, and you get 2x=10, so x=5
4y - 9 - 6y = 2(y + 5) - 3 solve for y
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{y = - 4}}}}[/tex]
Step-by-step explanation:
[tex] \sf{4y - 9 - 6y = 2(y + 5) - 3}[/tex]
Subtract like terms : 6y from 4y
[tex] \longrightarrow{ \sf{ - 2y - 9 = 2(y + 5) - 3}}[/tex]
Distribute 2 through the parentheses
[tex] \longrightarrow{ \sf{ - 2y - 9 = 2 *y + 2 *5 \: - 3}}[/tex]
[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 10 - 3}}[/tex]
Subtract 3 from 10
[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 7}}[/tex]
Move 2y to left hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 2y - 2y - 9 = 7}}[/tex]
Move 9 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 2y - 2y = 7 + 9}}[/tex]
Combine like terms
[tex] \longrightarrow{ \sf{ - 4y =7 + 9}}[/tex]
Add the numbers : 7 and 9
[tex] \longrightarrow{ \sf{ - 4y = 16}}[/tex]
Divide both sides by -4
[tex] \longrightarrow{ \sf{ \frac{ - 4y}{ - 4} = \frac{16}{ - 4}}} [/tex]
Remember : Dividing a positive integer by any negative integer gives a negative integer.
[tex] \longrightarrow{ \boxed{ \sf{y = - 4}}}[/tex]
------------------------------------------------------------
Let's check whether the value of y is -4 or not.
VerificationL.H.S : [tex] \sf{4y - 9 - 6y}[/tex]
plug the value of y and simplify
[tex] \dashrightarrow{ \sf{4 * (- 4 )- 9 - 6 * (- 4)}}[/tex]
[tex] \dashrightarrow{ \sf{ - 16 - 9 - ( - 24)}}[/tex]
[tex] \dashrightarrow{ \sf{ - 16 - 9 + 24}}[/tex]
[tex] \dashrightarrow{ \sf{ - 16 + 15}}[/tex]
[tex] \dashrightarrow{ \sf{ - 1}}[/tex]
R.H.S :[tex] \sf{2(y + 5) - 3}[/tex]
plug the value of y and simplify
[tex] \dashrightarrow{ \sf{2( - 4 + 5) - 3}}[/tex]
[tex] \dashrightarrow{ \sf{2 *1 - 3}}[/tex]
[tex] \dashrightarrow{ \sf{2 - 3 }}[/tex]
[tex] \dashrightarrow{ \sf{ - 1}}[/tex]
∴ L.H.S = R.H.S
The value of y is -4
And we're done!
------------------------------------------------------------
Rules for solving an equationIf any equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the terms with the variable to left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.Hope I helped!
Best regards! :D
~TheAnimeGirl
EZ POINTSS!! I WILL GIVE BRAINLIEST!! All you have to do is compete with the other person about what my favorite color is. The winner will receive Brainliest. ..just giving back because I know some people don't have points.
Answer: red
Step-by-step explanation: that’s mine
Answer:
Pink
Step-by-step explanation:
Which of the following equations is written in vertex form?
Oy= 2x² + 3x – 8
Oy= 3 (x + 5) (x - 2)
O y= -2(x + 5)2 – 2 .
O y = 3x – 5
Need help please!!!
what this is common denominator of 3/3c² 1/9c³ and. x-1/6c. ?
a.108
b.18c³
c.54c
d.9c6
Step-by-step explanation:
: a common multiple of the denominators of a number of fractions. 2 : a common trait or theme.
Whats is the answer for 30x10283
Answer: 30 x 10,283= 308,490
Step-by-step explanation: 30 multiplied by 10,283 equals 308,490
I will brainlist HELP
Answer:
x = 7
y = 10
Step-by-step explanation:
<K and <NLK are marked as being equal.
That means that KN and LN are equal.
So LN = 6
y - 4 = 6
y = 4 + 6 = 10
For the same reason LN = LM
That means that x + 3 = 10
x = 10 - 3
x = 7
A cereal company made a batch of 714 ounces of cereal. If they put it in 18-ounce boxes, how many boxes would the batch fill?
Answer:
About 40 (Accurate answer would be 39.7 or 39.666666)
Step-by-step explanation:
714/18 = 39.666666
Answer:
wait look it up on google
Step-by-step explanation:
solve each system of equations using substitution. x=y+1 x=3y+2
Answer:
x=1/2
y=-1/2
Step-by-step explanation:
x = y+1
x = 3y+2
Substitution means that you solve one equation for a variable by plugging it into the other equation. In this case, the first part is already done for you, and all you have to do is plugging in.
As you're given the value of the x in both equations, it does not matter which equation you plug into. You can plug either equation into one another.
For this, I will show you by plugging in the bottom equation for the top equation.
x = y+1
x = 3y+2
As we know x=3y+2, you must SUBSTITUTE that for the "x" in the top equation.
3y+2 = y+1
From there, you must solve it for the "y" value. In order to solve for the "y" value, you must get the "y" by itself onto one side.
So, subtract y from both sides.
(3y-y)+2 = (y-y)+1
Rewrite the equation.
2y+2 = 1
Remember, the goal is to get the "y" BY ITSELF.
There's a "+2" on the side of the y, so that has to be cancelled out. You can cancel it out by doing the OPPOSITE of adding, which is subtracting. So subtract both sides by 2.
2y+(2-2)=(1-2)
When subtracting a bigger number from a smaller number. The pattern is: Keep it, flip it, flip it.
Keep the 1.
Flip the - to a +
Flip the 2 into a -2.
So you get 1+(-2) which is -1. Now, rewrite the equation.
2y=-1
You want the y by itself. Right now, the y is being multiplied by 2, so you have to do the OPPOSITE, which is division. Divide both sides by 2.
y=-1/2
Now, use this value to plug into your ORIGINAL equations (you can pick either)
x = y+1 OR x = 3y+2
x= -1/2 + 1
x=1/2
(1/2, -1/2)
Solve for x in the following angle relationship. Please also identify the type of angles given:
answer options
O x= 10, corresponding
O x = 4, corresponding
O x = 10, alternate interior
O x = 4, Same side interior
9514 1404 393
Answer:
x= 10, corresponding
Step-by-step explanation:
Corresponding angles are in the same direction from their respective intersections. Here, the angles are both northwest of the point where the lines cross. The angles are corresponding.
__
Corresponding angles are congruent, so we have ...
10x +10 = 110
10x = 100 . . . . . subtract 10
x = 10 . . . . . . . . divide by 10
What are the measures of the angles in the triangle? (6x + 10) (x + 17) (4x - 34)
I'm not quite sure these are right. You might wanna check with a classmate or something first.
Step-by-step explanation:
(6x + 10) + (x + 17) + (4x - 34) = 180
11x - 7 = 180
11x = 173
x = 15.73 (answer had repeating decimal so i rounded up in the hundredths place)
(6x + 10)
6 (15.73) + 10
94.38 + 10
104.38
(x + 17)
(15.73) + 17
32.73
(4x - 34)
4(15.73) - 34
62.92 - 34
28.92
8 1/6 - 2 7/8 =
BRAINLIEST
Answer:
5 7/24
Step-by-step explanation:
Convert to improper: 49/6-23/8=254/48 which is 5 7/24
Hope this helps plz mark brainliest :D
Answer:
5 7/24≈5.292
Step-by-step explanation:
Subtract
8 1/6 -2 and 7 over 82=127 over 2
Convert mixed number to improper fraction
8 1/6= 8x6/6+ 1/6=16+7/8=23/8
Convert mixed number to improper fraction
2 7/8= 2x8/8+7/8=16+7/8=23/8
Find common denominator
49/6-69/24=196-69/24=127/24
24 is the least common multiple of denominators 6 and 8. Use it to convert to equivalent fractions with this common denominator.
Subtract
196/24- 69/24= 196-69/24=127/24
Simplify
127/24= 5 7/24
an object is moving at a speed of 4 feet per minute. Express this speed in miles per week. Round your answer to the nearest hundredth.
Answer:
7.64 miles/week
Step-by-step explanation:
recall the following conversions
1 mile = 5280 feet or 1 foot = 1 /5280 miles
also
1 week = 7 days = 7 x 24 hours = 7 x 24 x 60 = 10080 min
We are given 4 feet /min. We can apply the above conversions to this to get:
4 feet/min
= 4 feet/min x (1/5280) miles/foot
= (4/5280) miles / min
= (4/5280) miles/min x 10080 min/week
= (4/5280)(10080) miles/week
= 7.636363 miles/week
= 7.64 miles/week (nearest hundredth)
Pls help i will give brianliest
Answer:
b is the answer
Step-by-step explanation:
whats the answer for (1 + 1 x 15 /3)sqr2
Answer:
Answer should be 36
Step-by-step explanation:
I used a calculator, thought I'm not 100% sure what your question is. Please correct me if i'm wrong.
If you subtract 16 from my number and multiply the difference by -3, the result is -39 what is my number
Answer:
29
Step-by-step explanation:
Start with -39. We need to do inverse operations to figure out the solution. -39 divided by -3 is 13, and 13 plus 16 is 29.
Answer:
29
Step-by-step explanation:
-39=-3(n-16)
13=n-16
29=n
Find the product. Write your answer as a mixed number in simplest form. 5 2/9 x 2 3/7
Answer:
12, 43/63
Step-by-step explanation:
Answer: 12 43/63
Step-by-step explanation: it was correct on my test
Please please please please please please quick quick quick quick quick quick
Answer:
They are perpendicular
Step-by-step explanation:
The slopes are opposites
Can someone help me on this? Will mark brainleist if they get it right!
Answer:
2.5
Step-by-step explanation:
2500 ÷ 1000
*Sorry if this is wrong*
what is the answerrrr to thisssssss -8 ( -25 - 7 ) =
Answer:
your answer is 256
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
In the diagram below, find the value of x to the nearest hundredth
Answer:
x = √324 = 18
Step-by-step explanation:
x shows up only in the second problem, so I'll focus on that problem.
This is a right triangle because one of the three angles is 90 degrees.
Thus, the Pythagorean Theorem applies: x^2 + 24^2 = 30^2, or
x^2 = 900 - 576 = 324
Then x = √324 = 18
Amanda made $276 for 12 hours of work, At the same rate, how many hours would she have to work to make $115
Answer:
5 hours
Step-by-step explanation:
276/12= 23
115/23= 5
Find the area of this parallelogram.
5.2 cm =height
8.4 cm =width
Answer:
The answer is 43.68.
Step-by-step explanation:
Answer:
43.68
You need to multiply height times width in order to find area so I multiplied 5.2 times 8.4
For what value of x is PQ || BC?
A 5
B. 6
C. 7
D. 8
Answer:
C. 7
Step-by-step explanation:
[tex] In\: \triangle ABC\\
\overline{PQ} \parallel \overline {BC}.. (given) \\[/tex]
Therefore, by Basic Proportionality theorem:
[tex] \frac{AP}{PB} = \frac{AQ}{QC} \\\\
\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\
\therefore \: \frac{x - x - 7}{x + 7} = \frac{x - 3 - x - 1}{x + 1} \\ (by \: dividendo) \\ \\ \frac{ - 7}{x + 7} = \frac{ - 4}{x + 1} \\ \\ \frac{7}{x + 7} = \frac{4}{x + 1} \\ \\ 7x + 7 = 4x + 28 \\ \\ 7x - 4x = 28 - 7 \\ \\ 3x = 21 \\ \\ x = \frac{21}{3} \\ \\ \huge \red{ \boxed{ x = 7}}[/tex]
(01.02 LC)
Solve
3x - 15
= 4x
2
Ox= 11
Ox=6
Ox= -3
Ox= -15
I need help
Which points can be used to create a line with a zero slope through (3,-2)
Answer:
(0-2) point can be use to create a line
Answer:
Step-by-step explanation:
line on x-axis or parallel to x-axis has slope=0
so (-5,-2),(6,-2)(-3,-2),(0,-2)
all these points lie on the line y=0x-2
or y=-2
Your making chocolate chip cookies. The recipe calls for 1/8 teaspoon salt to 1/4 teaspoon baking soda. How much salt is needed for one teaspoon of baking soda
Answer:
1/2 teaspoon salt
Step-by-step explanation:
We can make this into a ratio of salt:baking soda
1/8:1/4
now, how many 1/4 will we need to make 1?
If we multiply 1/4 by 4, we get one. So, we should do the same to 1/8!
1/8*2=4/8, or 1/2 teaspoon
It takes Rebekka 1/2 hour to jog 1 1/4 miles.
Which calculation could be used to find her unit rate in miles per hour?
A. multiply: 1 1/4 x 1/2
B. multiply: 1/2 x 2
C. divide: 1 1/4 / 1/2
D. divide: 1/2 / 1 1/4