Answer:
The length of AB: 34
Step-by-step explanation:
What are we given?
B = Midpoint of AC
AB = 8x + 2
BC = 5x + 14
|--------------|--------------|
A B C
(This is what your line would look like)
Our equation would be:
AB + BC = AC
(8x + 2) = (5x + 14)
(AB) = (BC)
(Assuming that our line and points are evenly spread out, we can say that they can equal each other)
8x + 2 = 5x +14
- 5x- 2 = -5x -2
---------------------
3x = 12
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
---------------------
x = 4
1) Substitute
(8x + 2) + (5x + 14) = AC
(AB) + ( BC) = AC
AB = 8(4) + 2
32 + 2
= 34
BC = 5(4) + 14 =
20 + 14
= 34
(We may be able to assume that since the length of the line is possible the same for AB and BC this is considered correct)
The length of the line segment AB is 34 units.
Given that, B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14.
What is the midpoint of line segment?A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments. The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.
Since, B is the midpoint of AC
AB=BC
8x + 2=5x+14
Subtract 5x on both sides of the equation, that is
8x+2-5x=5x+14-5x
⇒ 3x+2 = 14
Transpose 2 to other side of the equation, we get
3x = 14 - 2
⇒ 3x=12
Transpose 3 to other side of the equation, we get
x=4
So, AB=8x+2
=8×4+2
=32+2=34 units
Therefore, the length of the line segment AB is 34 units.
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Solve the system by substitution.
y = -5x
y = -7x – 14
Submit Answer
Answer: (-7 , 25)
Step-by-step explanation: I graphed and that’s the point I got.
48.073 rounded to the nearest hundredth
Number: 48.073
Nearest: hundredths (2 decimal)
Result: 48.07
hope this helped and hope its correct tell me it its not !!!
4(3x-8)-4 = 24
12x-32-4= 24
12x-36 = 24
12x = 60
X=5
What methods did she use and in what order did she use them?
Answer:
C
Step-by-step explanation:
Which pair of numbers has a GCF of 6?
a.) 2 and 12
b.)8 and 24
c.)12 and 18
d.)1 and 6
what is the value of x??
Answer:
[tex]\displaystyle 25 = x[/tex]
Step-by-step explanation:
You are given the angle of the whole set, so set both expressions equivalent to the given angle measure:
[tex]\displaystyle 166° = 66° + [4x]° \hookrightarrow \frac{100}{4} = \frac{4x}{4} \\ \\ \boxed{25 = x}[/tex]
I am joyous to assist you at any time.
what is the equivalent to (2 − 5)2
Answer:
-6
Step-by-step explanation:
If A = lw, find the width of a rectangle with a length of 30 miles and an area of 210 square miles.
O 70 miles
7 miles
o miles
6300 miles
10
11
12
Answer:
Yes and no nor
Step-by-step explanation:
Which is correct equation , in slope intercept form , for the line described below?
x-intercept =-2
Y-intercept=6
Answer:
[tex]y=3x+6[/tex]
Step-by-step explanation:
Equation of the line
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Being m the slope and b the y-intercept.
We are given two points for the required line: The x-intercept is -2, thus the point is (-2,0), and the y-intercept b=6 represents the point (0,6).
Since the value of b is 6, we use the first point to find the slope:
[tex]0=m(-2)+6[/tex]
Solving:
m=3
The correct equation of the line is:
[tex]\boxed{y=3x+6}[/tex]
What is the value of 19,356 ÷ 59?
Answer:
Approximately 328.067
Step-by-step explanation:
The value of 19,356 ÷ 59 is approximately 328.068.
Full Answer: 328.06779661
Solve for a. Show your work (ALL steps must be shown): 3(a+3)+6=30
Answer:
a = 5
Step-by-step explanation:
3(a+3)+6 = 30
subtract 6 from both sides
3(a+3) = 24
divide both sides by 3
a+3 = 8
subtract 3 from both sides
a = 5
Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
right
scalene
obtuse
equilateral
Answer:
D
Step-by-step explanation:
EDU 2020
The type of triangle which will always have a perpendicular bisector that is also an angle bisector is an equilateral. option D
How to determine the triangleProperties of an equilateral triangle
All the three sides are equal.All three angles are congruent and measured 60 degrees.It is a regular polygon with three sides.The perpendicular line drawn from vertex of the equilateral triangle to the opposite side bisects it into equal halves and divides the angles into two.Thus, the type of triangle which will always have a perpendicular bisector that is also an angle bisector is an equilateral. option D
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Need help plz and thnks
Answer: y=13
hope this helps!
a + 65 = 92
please help
Answer:
a=27
Step-by-step explanation:
Answer:
a = 27
Step-by-step explanation:
a + 65 = 92
subtract 65 from both sides
a = 27
Do you have a babysitting job that pays 8.50an hour your total pay for this week was 136 right and solve an equation to find the number of hours I babysat this week
Answer:
gfdhzhjdzg
Step-by-step explanation:
fjrfyijyfj
The product of two radicals is always an irrational number.
AIways True
Never True
Sometimes True
Answer:
The answer is Sometimes True.
Step-by-step explanation:
Radicals are number that have roots (√) .
Irrational are numbers that cannot be written in a form of fraction (a/b) .
I will show you some examples :
√2 × √2 = 2 (rational)
√2 × √5 = √10 (irrational)
Therefore, the products of 2 radicals will sometimes give rational or irrational numbers.
Kevin started a ping pong club at his school, and the table shows the number of participants in the club over several years. Find the rate of change in the number of participants.
16 is not an answer for me on my assignment. What should I do?
2x - 6
x + 1
Find the value of x
To solve -3 = -19 +d/5 , what steps would you use?
A hiker is 3.5 miles from her campsite when she begins to walk back to it. She hikes back toward the campsite at a constant rate of 2.1 miles per hour.
Which equation models the distance of the hiker from her campsite? (Let m represent her distance, in miles from the campsite and h represent the number of hours since she begin walking back.)
O m= 3.5+ 2.1h
Om= 3.5h - 2.1
O m = 3.5h + 2.1
m = 3.5 - 2.1h
-95=14x-7+30x
plz show work ty :)
Answer:
x = -2
Step-by-step explanation:
-95= 14x - 7 + 30x (collect like terms)
-95 = 44x - 7 (add 7 on each side)
-88 = 44x (divide by 44 on each side)
-2 = x
Given: Jennifer sings alto in the school choir. The choir has four voice parts. The female voice parts are soprano and alto. The male voice parts are tenor and bass. What conclusion can be drawn?
A Jennifer sings a female voice part in the choir.
B There are no basses in the choir.
Please help :(
Find the value of X in the triangle shown below.
Answer:
x = 33°
Step-by-step explanation:
All angles in a triangle add up to 180°.
Step 1: Set up equation
x + 114 + 33 = 180
Step 2: Solve for x
Combine like terms: x + 147 = 180Subtract 147 on both sides: x = 33NUMBER 4!!!!!!! if m∠JKP= 67°, find m∠NKO
Answer:
Step-by-step explanation:
I have some sympathy for the way the questions have been set up and numbered.
The givens are that the two lines that look like they are perpendicular, are perpendicular.
<JKP = 67 Given
<PKL = 180 - 67 < PKL is supplementary to <JKP
<PKL = 113
<PKM = 113 - 90 = 23
Here's what you want to know. <NKO = PKM because they are vertically opposite angles.
Therefore NKO = 23 degrees.
JL is perpendicular to MN, then
m ∠NKO= 23°
Given :
JL is perpendicular to MN and the m∠JKP= 67°
we need to find out m∠NKO
we know that JL is perpendicular to MN. so, <JKN makes an right angle .
m ∠JKN = 90°
PO is a straight line . It makes an angle 180 degree
m ∠JKP +m ∠JKN +m ∠NKO =180
[tex]67+90+m<NKO=180\\m<NKO=180-90-67\\m<NKO=23[/tex]
m ∠NKO= 23°
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Biologist Dr. Cytoplasm wants to know how many elephants in the nature reserve have broken tusks . Of the 30 elephants that he observes in random places in the reserve, he counts 8 elephants with broken tusks. Of the 600 elephants in the reserve, how many can he expect to have broken tusks?
Answer:
Of the 600 elephants that he observes in random places in the reserve, he counts [tex]\frac{8}{30}(600)=160[/tex] elephants with broken tusks.
Step-by-step explanation:
Let x denotes number of elephants having broken tusks out of 600 elephants.
Of the 30 elephants that he observes in random places in the reserve, he counts 8 elephants with broken tusks.
So,
Of the 1 elephants that he observes in random places in the reserve, he counts [tex]\frac{8}{30}[/tex] elephants with broken tusks.
Therefore,
Of the 600 elephants that he observes in random places in the reserve, he counts [tex]\frac{8}{30}(600)=160[/tex] elephants with broken tusks.
Need help with math hw
Answer:
x=7
Step-by-step explanation:
since the two angles are equal, set them equal to each other and solve for x
7x+35=84
subtract 35 from both sides
7x=49
divide both sides by 7 to isolate x
x=7
If Ryan gives 2/6 of his 36 cards to Max, how many cards does he give Max?
Answer:
Hi there
Your answer is
He gives Max 12 cards
Step-by-step explanation:
2/6 of 36
2/6 * 36/1
72/6=12
12 cards is 2/6th of 36 cards
Answer:
12
Step-by-step explanation:
(2 / 6) * 36= 12.
What's the circumference of a circle with a diameter of 9 inches?
Answer:
9pi
Step-by-step explanation:
circumference= 2 (pi) (r)
radius = diameter \ 2
r = 9 \ 2 = 4.5in.
c = 2 (pi) (4.5)
c = 9pi or 28.3in.
Hope this helps!
Hey! This is due today and I’m lowkey not having a good brain day, could you help?
The total number of calories consumed by Ethan when eating French fries varies directly with the number of French fries that Ethan eats. Ethan eats 16 French fries and consumes 224 calories. How many French fries does Ethan eat if he consumes 406 calories?
Answer:
29 French fries
Step-by-step explanation:
Total number of calories consumed by Ethan when eating French fries varies directly as the number of French fries that Ethan eats
The first step is to calculate the constant k
No of calories= k × no of French fries
k = No of calories/No of French fries
k = 224/16
k = 14
Therefore the number of French fries eaten by Ethan if he consumes 406 calories can be calculated as follows
No of French fries= No of calories/k
= 406/14
= 29
Hence Ethan eats 29 French fries if he consumes 406 calories
Which triangle defined by three points on the coordinate plane is congruent with the triangle illustrated in quadrant 1? Why?
A. (-5, -5) (-3, -1) (-3, -5) because corresponding pairs of angles are congruent
B. (-10, -10) (-6, -10) (-6, -2) because corresponding pairs of angles are congruent
C. (-5, -5) (-3, -1) (-3, -5) because corresponding pairs of sides and corresponding pairs of angles are congruent
D. (-10, -10) (-6, -10) (-6, -2) because corresponding pairs of sides and corresponding Pairs of angles are congruent