Answers
Answer:
5
Step-by-step explanation:
AC = AB + BC
16 = x+1 + x+7
Combine like terms
16 =2x+8
Subtract 8 from each side
16-8 = 2x+8-8
8 = 2x
Divide by 2
8/2 = 2x/2
4 =x
We want to find AB
AB = x+1 = 4+1 = 5
Related Questions
Which of the following is a property of all rhombi? O A. They have 4 right angles. B. The diagonals are congruent. O C. All 4 sides are congruent. D. They contain 4 right angles.
Answers
Step-by-step explanation:
the diagonals are congruent
A box of Lucky Charms costs $3.29 and you have a coupon that will save you 75 cents off 2 containers. What is the final price if you buy 2?
Answers
2. Solve by finding square roots. 9x^2 = 25
A. 5/3
B. (-5/-3),(5/3)
C. 2/3
D. (-2/-3),(2/3)
Answers
Find the total surface area of this square based pyramid. 10 in 5 in [ ? ]in?
Answers
Answer:
The answer is "[tex]125 \ in^2[/tex]"
Step-by-step explanation:
There is a base of five on every triangular face and a height of ten in. The field of the formulation
[tex]A = (\frac{1}{2})bh \\\\A = (\frac{1}{2} \times 5\ in \times 10\ in)[/tex]
[tex]= \frac{50 }{2} \ in^2\\\\=25 \ in^2\\\\[/tex]
The base of the square has a formula area
[tex]A = s^2 = (5\ in)^2 = 25 \ in^2[/tex]
The total area consists of the sum of the four-face area and the base: [tex]total \ \ area = 4 \times \text{(area of 1 face) + (area of base)}[/tex]
[tex]= 4 \times (25\ in^2 ) + 25 \ in^2 \\\\= 125 \ in^2[/tex]
A small pebble is stuck in Jim's bike tire. The wheel has a radius of 34 cm. Determine the equation of the function that expresses the height of the pebble from the ground in terms of the distance that the bike travels from the point where the pebble got stuck in the tire. How high off the ground will the pebble be after the tire has rolled 150 cm?
Answers
Answer:
distance = 68 pie x
Step-by-step explanation:
Hope this helps
Which expressions are equivalent to 8(-10x+3.5y-7) Select two options
Negative 80 x + 24.5 y minus 56
Negative 80 x + 28 y minus 56
80 x + 28 y + 56
4 (negative 20 x + 7 y minus 14)
Negative 4 (negative 20 x + 7 y minus 14)
Answers
Answer:
Negative 80 x + 28 y minus 56
4 (negative 20 x + 7 y minus 14)
Hello! I am simply looking for help, no this is not a test. Once again I am just looking for hints/help.
Answers
Answer:
No problem, here is a tip
Step-by-step explanation:
take each whole number then multiply it by the percent in decimal form. So if its 90% of 136 you do 136 * 0.9
The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?
Ans
2280,2502,240
Answers
Answer:
2400
2640
360
Step-by-step explanation:
I am not sure the description is totally clear.
my assumptions are (based on my interpretations of the text) :
the retailer buys from the dealer with 15% discount.
but the retailer has to sell the jacket for the same price as the dealer.
so, both mark the sale price as 2400.
if the customer buys from the retailer, the retailer makes 15% profit (the discount he got from the dealer).
15% = 2400 × 15/100 = 24 × 15 = 360
the retailer makes this profit no matter what other fees or taxes are added.
if the customer buys from the dealer, the dealer makes these 15% and some more (we don't know how much) profit.
now, the final price is to include also 10% VAT
100% = 2400
1% = 2400 / 100 = 24
10% = 24 × 10 = 240
so,
final price = SP + VAT = 2400 + 240 = 2640
"I think of a number, multiply it by 2, subtract 3 and multiply the result by 4."
Answers
Answer:
Step-by-step explanation:
* please help*
What are the solutions of equation (x — 2)^2 = -3x + 6
Select all that apply.
A X= -3
B. X= -2
C. X= -1
D. x= 3
E. x= 1
F. X= 0
G. X= 2
Answers
Answer:
C and G
Step-by-step explanation:
Given
(x - 2)² = - 3x + 6 ← expand left side using FOIL
x² - 4x + 4 = - 3x + 6 ( subtract - 3x + 6 from both sides )
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2 → G
x + 1 = 0 ⇒ x = - 1 → C
if (P-3) is the largest of for odd number then the smallest is
A p-11
B p-9
C. p+3
D. p+5
Answers
ensalada no son vulgares
plzz help 100 points
Part B
What is the measurement of angle G? Part C
Let the variable c represent the measurement of angle C. Use the measurement of angle G to write an equation that you can use to solve for c. Part D
What is the measurement of angle C?
Answers
Finishing the angles of the smaller triangle if E is 90 and F is 30 then G needs to be 180-90-30 = 60 degrees.
Angles G and C are supplementary angles which need to equal 180 degrees
Angle c = 180-g = 180-60 = 120
Angle c = 120 degrees.
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then Δ EGF
∠ G = 180° - (90 + 30)° = 180° - 120° = 60°
------------------------------------------------------------
c and g are adjacent angles and sum to 180° , then
c + g = 180° , that is
c + 60° = 180° ( subtract 60° from both sides )
c = 120
That is ∠ C = 120°
CAN SOMEONE HELP ME WITH THIS PLEAS AND THANK YOU.
I DO NOT KNOW HOW TO DO THIS ONE WHEN YOU KNOW HOW TO DO IT I WILL DO IT ON MY OWN MABY.
Answers
Explanation 51/-25/6
Answer:
2 and 2/6ths
SBSE:
1. multiply the denominators together (in this case, 24)
2. multiply each numerator by the denominators
3. reduce the 5 to four, making 4/24ths into 28/24ths
4. subtract the fractions and whole numbers.
What is the approximate circumference of a circle that has a diameter of 15 inches?
Answers
Answer:
[tex]{ \tt{circumference \approx\pi \: d}} \\ \approx{ \tt{3.14 \times 15}} \\ \\ \approx47.124 \: inches[/tex]
Use the tax table to help answer the following question.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Luce is single and making $763 biweekly. She claims no federal withholding allowances. If the state tax is 19% of the federal tax, how much in state tax does Luce contribute? a.
$12.92
b.
$15.13
c.
$15.77
d.
$16.34
Answers
Answer: d. $16.34
Step-by-step explanation:
The table shows that if the wages are between 760 and 780 and there are no withholding allowances, the federal tax is $86.
Luce therefore has a federal tax of $86 as she falls in the bracket described.
If state tax is 19% of this, state tax is:
= 19% * 86
= $16.34
The amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.
What is federal income tax?Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen residing there .
A 9-column table with 7 rows is given in the prooblem.
Luce is single and making $763 biweekly. She claims no federal withholding allowances.
This amount is come between the values of $760 and $780. If we look into the table provided into the problem, the federal tax for this slab is $86.
Now the state tax is 19% of the federal tax. Thus, the 19 percent of the federal tax $86 is,
[tex]\rm tax=86\times\dfrac{19}{100}\\tax=16.34[/tex]
Thus the amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.
Learn more about the federal income tax here;
https://brainly.com/question/25504589
the difference of 15 and 7 divided by 2
Answers
Escribe un número de tres cifras digamos a1b1c1, en el cual a1 sea distinto de c1; ahora invierte los dígitos a1 y c1, (obtendrás el número c1b1a1 ); resta el número menor al número mayor, es decir a1b1c1 - c1b1a1 o bien c1b1a1 - a1b1c1, obtendrás como resultado un número de tres cifras, digamos a2b2c2 (es posible que a_2=0 ); invierte los dígitos a_2 y c_2. Finalmente suma los números a2b2c2 y c2b2a2 . ¿Qué número obtuviste?
Answers
Answer:
El número obtenido es:
1089.Step-by-step explanation:
Vamos a escoger tres números sencillos para cada variable como:
a1 = 1b1 = 2c1 = 3Por lo tanto, nuestro número de tres cifras es:
123 (la única pauta es que a1 sea diferente a c1 y con este número la cumplimos)Ahora, nos dice que invirtamos los números a1 y c1, por lo tanto, nuestro nuevo número de tres cifras sería:
321A continuación, nos menciona que restemos el menor del mayor, en este caso, nuestro número menor es 123 y el mayor es 321, por lo tanto:
321 - 123 = 198 (Este resultado será el mismo sin importar cuáles números elijas para el ejercicio)Como obtuvimos el número 198, se podría decir que:
a2 = 1b2 = 9c2 = 8Ahora nos piden que invirtamos a2 y c2, por lo tanto nuestro nuevo número sería:
891Y por último, nos solicita que sumemos los dos últimos números obtenidos, entonces tenemos:
891 + 198 = 1089Por lo tanto, el número obtenido al final es 1089, el cual obtendrás sin importar qué número de tres cifras elijas al inicio, siempre y cuando no se repitan el primero y el tercer dígito.
Elsa, miguel and scott sent a total of 133 text messages over their cell phones during the weekend. Scott sent 8 fewer messages than elsa. Miguel sent 3 times as many messages as scott. How many messages did they each send?
Answers
Answer:
Scott sent 23 text, Elsa sent 16 and Miguel sent 64 test.
Step-by-step explanation:
?...............................
Answers
Answer:
-2 ≤ n < 8
Step-by-step explanation:
_________________
-5+(-4)
Adding and subtracting intergers
Answers
Answer:
9
Step-by-step explanation:
Integer
Pls help me with this!
Answers
Answer:
Your answer would be X ≥ -3
Step-by-step explanation:
7 of 8
The mean temperature for the first 7
days in January was 8°C.
The temperature on the 8th day was -1
°C.
What is the mean temperature for the
first 8 days in January?
°C
Answers
Answer:
6.875 degrees
Step-by-step explanation:
[tex]Total=7\times8=56\\56-1=55\\mean for 8 days=\frac{55}{8} =6.875 degrees[/tex]
Which glide reflection describes the mapping ABC to DEF?
(x, y) (x + 6, y – 1) and reflected across x = 0
(x, y) (x + 6, y − 1) and reflected across y = 0
(x, y) (x, y + 6) and reflected across y = 0
(x, y) (x + 7, y) and reflected across x = 0
Answers
Answer:
Option (2)
Step-by-step explanation:
To get the transformation applied in triangle ABC to map triangle DEF we will apply the following rules.
If a point A of triangle ABC maps the point D of triangle DEF,
Coordinates of point A → (-4, -5)
Coordinates of point D → (2, 6)
First point A is shifted to quadrant (4) from quadrant (3),
Rule for the translation,
A(x, y) → A'(x + 6, y - 1)
A(-4, -5) → A'(2, -6)
Followed by reflection across x-axis (y = 0)
A'(x, y) → D(x, -y)
A'(2, -6) → D(2, 6)
Therefore, Option (2) will be the answer.
James inherited 19.5hectares of land from his father. The area of the land he inherited is 65% of the total land his father owned. Calculate the total area of the land that his father owned
Answers
Answer:
30 hectares
Step-by-step explanation:
Answer:
Step-by-step explanation:
Land area James inherited = 19.5 hectares
The area of the land he inherited is 65% of the total land his father owned.
Let
x = Total land his father owned
Land area James inherited = 65% of the total land his father owned
19.5 = 65% of x
19.5 = 65/100 * x
19.5 = 0.65 * x
19.5 = 0.65x
x = 19.5 / 0.65
x = 30
x = Total land his father owned = 30 hectares
The box part of the box plot contains all the values between which numbers?
25
30
35
40
45
50
between 27 and 36 and between 37 and 40
between 32 and 36
оооо
between 32 and 37
O between 27 and 32 and between 37 and 40
Answers
Answer:
Between 32 and 37
Step-by-step explanation:
Here, we simply want to get the data portion represented by the box alone
we can see that the box starts from 32
It ends at the number 37
Note;
between each individual number on the plot, we have 5 small lines indicating an extra point
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
Answers
Answer:
[tex]x =5\sqrt 3[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To do this, we make use of Pythagoras theorem
[tex]x^2 + 5^2 = 10^2[/tex]
Solve the exponents
[tex]x^2 + 25 = 100[/tex]
Collect like terms
[tex]x^2 =- 25 + 100[/tex]
[tex]x^2 =75[/tex]
Take square roots
[tex]x =\sqrt{75[/tex]
Expand
[tex]x =\sqrt{25*3[/tex]
Split
[tex]x =\sqrt{25}*\sqrt 3[/tex]
[tex]x =5\sqrt 3[/tex]
Figure ABCD is a parallelogram.
Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
Answers
Answer:
It is 44
Step-by-step explanation:
The perimeter of the paralllelogram given is: 44 units.
What is the Perimeter of a Parallelogram?Perimeter = 2(a + b), where a and b are the legs of the sides adjacent to each other.
Given the following:
AB = 4y - 2BC = 2x + 2DC = 2y + 6AD = 3x - 1Since opposite sides of a parallelogram are equal, therefore:
4y - 2 = 2y + 6
4y - 2y = 2 + 6
2y = 8
y = 4
2x + 2 = 3x - 1
2x - 3x = -2 - 1
-x = -3
x = 3
Perimeter of the paralllelogram = 2(AB + AD) = 2(4y - 2 + 3x - 1)
Plug in the values of x and y
Perimeter of the paralllelogram = 2(4(4) - 2 + 3(3) - 1)
Perimeter of the paralllelogram = 2(16 - 2 + 9 - 1)
Perimeter of the paralllelogram = 44 units.
Learn more about perimeter of a parallelogram on:
https://brainly.com/question/10919634
Find the value of x,y,z.
What is value of x,y,z.
Answers
Answer:
[tex]x=7\\y=128\\z=128[/tex]
Step-by-step explanation:
Value of x:-
Form an equation:
[tex]4x+24=7x+3[/tex] {opposite / vertical angles are equal}
Subtract 7x from both sides:
[tex]4x+24-7x=7x+3-7x[/tex]
[tex]-3x+24=3[/tex]
Subtract 24 from both sides:
[tex]-3x+24-24=3-24[/tex]
[tex]-3x=-21[/tex]
Divide both sides by -3
[tex]-3x/-3=-21/-3[/tex]
[tex]x=7[/tex]
Value of y and z:-
Value of x is 7 so replace x in the equations:
[tex]4(x)+24=52\\7(7)+3=52[/tex]
Now that we have the value of x, its easy to find y and z
[tex]52+52+y+z=360[/tex]
{complete circle makes 360°}
[tex]104+y+z=360[/tex]
[tex]y+z=360-104[/tex]
[tex]y+z=256[/tex]
Divide 256 by 2 to get value of each variable:
vertically opposite angles (y & z) are equal
[tex]256/2 = 128[/tex]
[tex]y=128\\z=128[/tex]
∴ CHECK: 128 + 128 + 52 + 52 = 360°
hope this helps...
Answer:
X=7
Y and Z = 128
Step-by-step explanation:
7X+3=4X+24
it is equal coz by the opposite angle
find the value of X
7x+3=4x+24--------------collect like term
3x=21----------divided by 3
x=7
then 7x+3=52
4x+24=52
SR is the line that measure 180°
that means (7x+3)+Z=180°
use the value of X into the equation
Z=180-52
Z=128
it means Z and Y are equal so Y= 128
please help :DDDDDDD
Answers
Answer:
B 5/6 * -11/-7
Step-by-step explanation:
-5 / -7 = 5/7
-11/-6 = 11/6
Multiply
5/7 * 11/6
Rewriting
5/6 * 11/7
We can make the 11 and the 7 negative (-11/ -7 = 11/7)
5/6 * -11/-7
A shop-keeper wants to charge 1.5 times
as much per toilet roll for offer B than offer A.
What is the price for offer B?
Answers
Answer:
ok so the equation would look like this
B=1.5A
so b is 1.5 times more then a
