Answer:
x = 10
Step-by-step explanation:
Since B is the midpoint of segment AC, then AB = BC.
AB = BC
3x - 8 = x + 12
2x - 8 = 12
2x = 20
x = 10
As per the given information, the value of x is 10. For understanding, check the calculations provided below.
MidpointA midpoint is a point that divides a line into two parts equally.
In the given diagram,
B is the midpoint of line segment AC. Midpoint B divides the line segment AC equally.
When a midpoint B divides equally then AB = BC
Given that,
AB = 3x-8 and BC = x+12
B is the midpoint of line segment AC.
So,
AB = BC
Substitute the expression and solve for x
AB = BC
3x-8=x+12
Subtract x,
⇒ 3x-x-8 = x-x+12
⇒ 2x-8=12
Add 8
⇒ 2x = 12+8
⇒ 2x = 20
divide by 2
∵ x = 10
Thus, the value of x is 10.
Learn more information about 'Midpoint' here:
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Hannah invests £350 in an account that pays 3.5% compound interest per annum. Work out how much money Hannah will have in her account in 12 years.
hhheellllpppppppppppppppp
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Just multiply the 1 times 4
Im having trouble on these ones. Can someone help>
Answer:
9. 40°
10. 50°
11. 270°
12. 310°
Step-by-step explanation:
m∠BPC = 40° because it is complementary to ∠APB, which is 50°.
Arc AB is 50° because it will be equal to the central angle, which is 50°.
Arc ADC is 270° because it will be equal to the central angle, which is 270°.
Arc ADB is 310° because it will be equal to the central angle, also 310°.
Simplify sqrt of 75x^6y^11 to the form a sqrt of b
Answer:
2121221
Step-by-step explanation:
50 POINTS!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!
The diagram shows a cuboid.
The height of the cuboid is 6cm.
The volume is 90cm3
What is the area of the shaded face?
Answer:
The area of the face is 15 cm^2
Step-by-step explanation:
The formula for volume is
V = Bh where B is the area of the base and h is the height
90 = B * 6
Divide each side by 6
90/6 = 6B/6
15 = B
The area of the face is 15 cm^2
Answer:
15cm^2
Step-by-step explanation:
width will be 6cm since its side face is square.
V=lwh
90cm^3=l*6cm*6cm
90cm^3=36cm^2*l
l=90cm^3/36cm^2
l=2.5cm
so the area of the shaded face will be..
A=l×W
A=2.5cm*6cm
A=15cm^2
Help please someone
Answer: 751 points
Step-by-step explanation:
454 + 297 = 751
Answer:
751
Step-by-step explanation:
-297 + 454 = 751
Easier way of doing this is rounding 297 to 300 and doing 454 + 300, and subtracting 3.
Reduce -6+b^6 by 2+b^4
A. -8+b^10
B. -4+b^10
C. -4+b^2
D. -8+b^6-b^4
Answer:
D
Step-by-step explanation:
-6 + b⁶ - (2 + b⁴) = - 6 + b⁶ - 2 - b⁴ {Now add the like terms}
= -6 - 2 + b⁶ - b⁴
= -8 + b⁶ - b⁴
Please help i always give brainliets and thanks
Please answer the following algebra question ASAP not too hard
Answer:
(3)
Step-by-step explanation:
(1), (2) and (4)
can be written as Fr= p1-p2, F and r are inversely proportional
(3) r is directly proportional with F which is opposite to the given formula
hence this is incorrect
Can someone please answer this?
Answer: it is a parallelogram
Step-by-step explanation:
the coordinates form a parallelogram as you can see on the grid.
the shapes edges are joined together to form a parallelogram
there you go
AB is a segment with one endpoint A(-7,9) and midpoint M(8,1). Can
you find the coordinates of the other endpoint B?
Enter the x-coordinate of the other endpoint here
Enter the x-coordinate of the other endpoint here
Answer:
x-coordinate of the other endpoint: 23
y-coordinate of the other endpoint: -7
Step-by-step explanation:
To find the x-coordinate of the other endpoint, we need to find the run between the known endpoint and the midpoint
run: xM - xA = 8 - (-7) = 15
where xM and xA are the x-coordinates of M and A respectively.
The run between the other endpoint and the midpoint must be the same as before:
x - 8 = 15
x = 15 + 8
x = 23
To find the y-coordinate of the other endpoint, we need to find the rise between the known endpoint and the midpoint
rise: yM - yA1 = - 9 = -8
where yM and yA are the y-coordinates of M and A respectively.
The rise between the other endpoint and the midpoint must be the same as before:
y - 1 = -8
y = -8 +1
y = -7
The table below shows the weekly change in the price of one gram of gold for four weeks.
By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4?
Answer:
I mean it changed by .25
Step-by-step explanation:
Im not sure if youre asking for the median or the price difference?
Kim’s family spends $62.50 on dinner. They leave an 18% tip. How much is their total bill after tip?
Answer:
51.25
Step-by-step explanation:
Multiply 62.5 by .18. You get 11.25. Subtract that from 62.5 and you get 51.25.
Answer:
Multiply the price with the tip rate
18% = 0.18
62.5 x 0.18 = 11.25
that is the tip. We add that on to find the total price
62.5 + 11.25 = 73.75
73.75 dollars is the answer. Hope this helps
Step-by-step explanation:
Jason wants to cut a rope that is 60 feet long into several equal pieces with nothing left over. How many pieces will he have if the length of each piece is the greatest integer possible?
Answer:
2 pieces, 30ft each
Step-by-step explanation:
rope : 60ft long
we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:
if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.
An isosceles triangle has two congruent side lengths of 20 inches.
The base of the triangle has a length of 32 inches. What is the height of the
triangle?
12 inches
10 inches
15 inches
Answer:
h = 12
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2
The legs are 32/2 = 16 and the height h
The hypotenuse is 20
16^2 + h^2 = 20^2
256 + h^2 = 400
h^2 = 400-256
h^2 = 144
Taking the square root of each side
h = sqrt(144)
h =12
[tex]( {8x}^{2} + 4x + 4) - (7x + 9)[/tex]
Solve.
Answer:
Combining like terms together we get 4x - 7x = -3x and 4 - 9 = -5 so the answer is 8x² - 3x - 5.
What value of x will make the triangles similar by the sss similarity theorem?
Answer:
28
Step-by-step explanation:
Factorise 5n + 15
Please
Answer:
The correct answer is
5(n + 3)
Use the distributive property to factor
Hope this helps!
- Quinn
Answer:
Step-by-step explanation:
5n + 15 = 5*n + 5*3
= 5* [n + 3]
= 5[n + 3]
Given: Line A B intersects Line D E at point C.
Prove: AngleDCB Is-congruent-toAngleECA
Line D E intersects line B A at point C.
A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem.
What is the missing reason in step 5?
linear pair postulate
given
definition of complementary angles
congruent complements theorem
Answer:
linear pair postulate
Step-by-step explanation:
The linear pair postulate is the missing step.
What's the meaning of a linear pair of lines?Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
What is a Postulate?Postulate statement received without evidence. Axiom is any other name for postulate. for instance, if you understand that Pam is 5 feet tall and all her siblings are taller than her, don't trust her if she says that all her siblings are at the least 5 toes tall.
Learn more about the linear pair postulate here: brainly.com/question/19246011
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How do I find the value of x?
Answer:
Since you're asking how to find the value of x, you can use cosine, since the triangle is a right triangle.
Answer:
Only cosine include both hypotenuse and adjacent. We need both of them because those are 2 side that have numbers/letters.
So cos(28) = 11/x
Multiply by x
Then you'll get xcos(28) = 11
Do oposite cosine and you'll get
x = 11*opposite cos(28)
opposite cosine means cos^-1
thats approx. equal to 12.46 units
asaphhhhhhhhhreeeerlllloppo
Answer:
(3 x 2 x 3 x 2) + (2 x 2 x 2 x 2 x 3)
Step-by-step explanation:
36 = 6 x 6
6 = 3 x 2
36 = 3 x 2 x 3 x 2
48 = 12 x 4
12 = 3 x 4
4 = 2 x 2
48 = 2 x 2 x 2 x 2 x 3
ASAP What is the slope of the line y= 3?
Answer:
the slope is zero because
Step-by-step explanation:
this is a perfect horizontal line passing through y=-3
I've been thought
hope it helps
Answer:
Slope = 0
This is because the line does not go up or down. And the line is horizontal leading to the factor of the slope being 0.
Which number line best shows the position of 113?
13
+
+
+
+
-3
-4
-2
-1
0
1
2
3
4.
13
a
+
+
+
+
1
+
2
-4
-3
-2
-1
0
2
3
4
113
++
+
-4
-3
-2
-1
0
1
2
3
4
13
+
-5
-3
-2
-1
0
1
2.
3
4
5
HELLO PLEASE HELO ME.
Answer:
the answer is 33
Step-by-step explanation:90 - 57=33
Answer:
33 degrees
Step-by-step explanation:
90-57=33
What is the value of the 3 in 630
Answer:
hey mate, here is your answer. Hope it helps you.
Step-by-step explanation:
We can write 630 in expanded form as:
630 = 600 + 30 + 0
and in words:
630 = 6 hundreds, 3 tens and zero ones
the value 6 is 600
and the place value of 3 is 30 and the face value is 3 in the number 630.
The number can be written in the expanded form as 600 + 30 + 0 and the face value is 3 in the number 630.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The number is 630
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
The number 630 can be written as:
630 = 6x100 + 3x10 + 0x1
630 = 600 + 30 + 0
The above expression represents the expanded form of the number 630.
In words:
630 = 6 hundred, 3 tens, and zero ones
The value 6 is 600
The place value of 3 is 30 and the face value is 3 in the number 630.
Thus, the number can be written in the expanded form as 600 + 30 + 0 and the face value is 3 in the number 630.
Learn more about the number here:
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Help please if you answer you get 25 points
Answer:
8.9
Step-by-step explanation:
Use Pemdas or Bedmas ( Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
First add 4.5 and 7.6, you get 12.1
Now do the division, 8/2.5 = 3.2
Lastly you subtract, 12.1-3.2 = 8.9
Simplify: 6-/18 - 3.450
Answer:
-3.11666666667
Step-by-step explanation:
remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
combine the constants. hope this helps you :)
Is the sqre root of 16 + 3/4 irrational
The square root of 16 is a rational number. The square root of 16 is 4, an integer. This is because 16 is a perfect square.
How many solutions does the following system of equations have? y=5/2x+2 and 2y=5x+8
Answer:
No solutions.
Step-by-step explanation:
y = 5/2x + 2
2y = 5x + 8
Plug the first equation into the second.
2(5/2x + 2) = 5x +8
5x + 4 = 5x + 8
5x + 4 cannot equal 5x + 8, so this system of equations has no solutions.
NEED HELP ASAP
In the unit similar triangles and trigonometry, what is “ primary Trigonometry ratio-memory trick ?”
60 miles/1 hour * 5380/1 mile * 1 hour/60 min * 1 min/60 seconds
Answer:
Don't understand this