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Explanation:
Let x and y be the two integers where x > y.
The two integers have a sum of x+y and this is equal to 2, so x+y = 2. Solve for y to get y = -x+2
The two integers also have a difference of 12, so x-y = 12. Plug in y = -x+2 and solve for x
x-y = 12
x - ( y ) = 12
x - ( -x+2 ) = 12 ... replace y with -x+2
x + x - 2 = 12
2x - 2 = 12
2x - 2+2 = 12+2 .... adding 2 to both sides
2x = 14
2x/2 = 14/2 .... divide both sides by 2
x = 7
Use this x value to find y
y = -x+2
y = -7+2
y = -5
--------------------------------------
As a check,
x+y = 7+(-5) = 7-5 = 2 ... we get a sum of 2
x-y = 7-(-5) = 7+5 = 12 ... and get a difference of 12
the answers have been confirmed
Select the correct answer. In the given figure, m = 118°, m = 76°, and m∠BAC = 35°. Which statement is true? Figure not drawn to scale A. The measure of is 48°, and triangle BCD is isosceles. B. The measure of is 83°, and triangle BCD is isosceles. C. The measure of is 48°, and triangle BCD is not isosceles. D. The measure of is 83°, and triangle BCD is not isosceles.
Answer:
A
Step-by-step explanation:
The measure of the angle is 48 degrees and the triangle BCD is isosceles.
What is a Circle?
A circle is a round-shaped figure with all the points on one plane, the distance between the center and all the points on the circumference is the same.
Thre arc mBC inscribes angle BDC
According to the theorem, the angle made by the arc on the center is double that made at the circumference.
mBDC = (1/2) * mBC
mBDC = (1/2) * 118 = 59°
It is also known from the secant theorem that, the angle made by the two secants is equal to half of the angle inscribing the arc.
mA = (1/2) * (mBC - mDE)
35 = (1/2) * (118 - mDE)
70 = 118 - mDE
The measure of DE = 48°
The sum of all the arcs in a circle is 360°
So,
mBC + mCD + mDE + mBE = 360
mCD = 360 - 118 - 48 - 76 = 118°
The angle CBD is inscribed by the arc mCD
mCBD = (1/2) * mCD = (1/2) * 118 = 59°
The angles CBD and BDC are equal, so the triangle is isosceles.
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the figure is a rectangular prism. Identify which one of the line segments in the given figure is perpendicular to BF.
Answer:
EF, FG, AB and BC are perpendicular to BF.
Step-by-step explanation:
In the figure attached, a rectangular prism has been given.
Line BF is contained in the face BCGF of the prism.
Therefore, all the faces perpendicular to the face given are,
ABFE, EFGH, ABCD and CGHD.
But the line segments contained in these faces and perpendicular to the line segment BF are EF, FG, AB and BC.
Therefore, answer is the line segments EF, FG, AB and BC are perpendicular to BF.
Line segments perpendicular to BF are:
GF, EF, AB, and CB
What is perpendicular?Perpendicular lines are the two distinct lines that intersect at each other at 90°. A perpendicular is a straight line that makes an angle of 90° with another line. 90° is also called a right angle and is marked by a little square.
Given,
In figure ABCDEFGH is a rectangular prism
BF is an edge of the prism
All faces of the rectangular prism are perpendicular to each other
Face EFGH is perpendicular to face BCGF
⇒ GF⊥BF and EF⊥BF
Face ABCD is perpendicular to face BCGF
⇒ AB⊥BF and CB⊥BF
Hence, line segments GF, EF, AB, and CB are perpendicular to BF.
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the quotient of two numbers is negative what must be true about the two numbers
Answer:
that one of the numbers is negative and one is positive
Step-by-step explanation:
hope this helps
correct me if this is wrong
Answer:
One of them is negative and the other is positive.
Step-by-step explanation:
Brainliest question please help me please show your work
Answer: C) Outside the circle
Step-by-step explanation: Ok, so we know 0,0 is the center of the circle and 5,8 is on the circle, on the border. Therefore, anything more than 5,8 is outside the circle and anything less is inside the circle.
[tex]\sqrt{-15}[/tex] = -3.87
[tex]\sqrt{-74}[/tex] = -8.60
(-3.87, -8.60)
Therefore, the answer is outside the circle...pretend the rectangle is a circle...as you can see point Z will be outside the circle.
I hope this helps!
Answer: A-Inside the Circle
Step-by-step explanation: For point Z: the coordinate is (-3.9,8.6) rounded to the nearest whole and since the center of the circle is at (0,0) and a point on the circle is (5,8) then we know that every other point will be the same distance away from the circle. If (5,8) is a point on the circle then (-5,8), (-5,-8), and (5,-8) will also be points. If you plot all of these and draw a circle outline you will see that point Z falls in the circle. (I MIGHT BE WRONG but I hope this helps a little)
A handyman is tiling a bathroom l. He needs 34 rows of 18 tiles to cover the floor. How many total tiles does he need to cover the floor
Answer:
A handyman need 34 rows of 18 tiles.
How many total tiles does he need?
lets start off by saying that each row has 18 tiles
and there are supposed to be 34 rows
so you can multiply the number of tiles in each row (18) by the number of rows (34)
34 x 18 = 612
the handyman needs a total of 612 tiles to cover the floor.
plz hit the thx button and plz mark me brainliest if this helped :)
Someone please help I suck at algebra
If a = 2 and c = -6
What would ac equal?
(I don’t know what to do if two letters are together)
Answer:
ac equals -12
Step-by-step explanation:
When 2 or more letters are put together, you need to multiply them.
ac=
a×c=
2×(-6)=
-12
ac= -12
Answer:
-12
Step-by-step explanation:
a = 2 and c = -6
ac= a*c = 2*(-6)= -12
what is 2 cubed?????????
Answer:
8
Step-by-step explanation:
2×2×2=8
Answer:
8
Step-by-step explanation:
What is plank's constant
Answer:
6.626068 × 10-34 m2 kg / s
Step-by-step explanation:
The Planck constant, or Planck's constant, denoted h is a physical constant that is the quantum of electromagnetic action, which relates the energy carried by a photon to its frequency. A photon's energy is equal to its frequency multiplied by the Planck constant. The Planck constant is of fundamental importance in quantum mechanics, and in metrology it is the basis for the definition of the kilogram.
compare: 8/12 to 6/9 which one is greater
Answer:
None they are both equal
Step-by-step explanation:
You find the common denominator which is 108
8/12 equals to 72/108
6/9 equals to 72/108
Answer:
Step-by-step explanation:
They are equivalent
Can anyone help me !!!
Answer:
Yes the equation is a linear one because it is an equation for a straight line.
Step-by-step explanation:
Answer:
Yes. Read below for explanation.
Step-by-step explanation:
y=3x+1 is in-fact linear. It is not a function though as it's y-intercept is 1 not 0. If you graphed this on a graphing calculator such as Desmos, it would create a line. It also uses slope-point formula which definitely makes it a line.
What is the surface area of a cylinder with base radius 3 and height 6?
Either enter an exact answer in terms of 7 or use 3.14 for at and enter your answer as a decimal.
3
6
square units
Answer:
Your correct answer is 169.65 square units.
Step-by-step explanation:
Since the radius of the cylinder is 3, and the height of it is 6, you get a total of 169.65 square units.
Here is proof that I am correct:
Answer:
54 pi
Step-by-step explanation:
khan
What is the percent increase when 7,200 increases by 1,800? help asap
Answer:
1,800/7,200 as a percentage is 1/4 which is 25%.
Answer: 25%.
Step-by-step explanation:
because 1,800/7,200 as a simplyfly fraction
will be 1/4 and if you make it in persant it will be 25%
Hope this helps :)
Evaluate this expression for a = 3 and b = 4.
(a +4)-
3(8 + 2)
Answer:
-24
Step-by-step explanation:
its been a while but I believe this is correct
a line with the slope of -1 passes through the point 0, 3 what is the equation in slope intercept form
Answer:
y = -x + 3
Step-by-step explanation:
Slope intercept form is the form y = mx+b where m is the slope and b is the y intercept
Plugging in the values we get y=-x+3
Answer:
y = - x + 3
Step-by-step explanation:
y = mx + b
Slope m = -1.
y = - x + b
Point (0,3).
3 = 0 + b
b = 3
y = - x + 3
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
O A. (x + 4)(x-4)
O B. x(x - 4)
O C. (x-4)(x-4)
OD. x(x+4)
Carter is handing out Valentine’s Day cards to his friends. He has 8 Batman cards, 12 Superman cards, and 5 captain America cards in a bag. What is the probability that the first two he chooses are Batman?
Answer:
7/75
Step-by-step explanation:
8 Batman cards, 12 Superman cards, and 5 captain America =25 cards
P( batman) = 8/25
no replacement since he hands them out
7 Batman cards, 12 Superman cards, and 5 captain America =24 cards
P( batman) = 7/24
P(batman, no replacement, batman) = 8/25 * 7/24 = 7/75
HELPPP WHAT ARE THE MISSING MEASURES
Answer:
goggle the following? ,'##$^%&'''!
The steps for solving the equation 2x-3=7 are listed below
Answer:
2x-3=7
2x=10
x=5
Answer:
x=5
Step-by-step explanation:
To solve this equation, we need to find out what the variable, x, is equal to. In order to do this, we need to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind that everything must be done to both sides.
2x-3=7
3 is being subtracted from 2x. The opposite of subtraction is addition. Add 3 to both sides
2x-3+3=7+3
2x=7+3
2x=10
x is being multiplied by 2. The opposite of multiplication is division . Divide both sides by 2.
2x/2=10/2
x=10/2
x=5
PLease answer this question !! 20 points and brainliest !!
Answer:
[tex]26cm[/tex]
Answer D is correct
Step-by-step explanation:
[tex]l = \sqrt{ {r}^{2} + {h}^{2} } \\ = \sqrt{{10}^{2} + {24}^{2} } \\ = 26 \\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer: bjehdfgufgudhj
Step-by-step explanation:
Reggie lost three spaceships in level 3 of a video game he lost 30 points for each spaceship when he completed level three heat earned a bonus of 200 points by how much did his score change.
Answer:
His score change was 110
Step-by-step explanation:
Lets say he started at 0 points and lost 30 points for each spaceship thats 3 x 30 which is 90 so he's sitting at -90 points then got 200 so thats -90 + 200 = 110
Find the value of c that completes the square. x'2+42x+C
Answer:
441
Step-by-step explanation:
x^2 + 42x + c
Take the coefficient of x
42
Divide by 2
42/2 = 21
Square it
21^2 =441
This is the value of c
Solve this equation (2/3)^2
Answer:
4/9
Step-by-step explanation:
(2/3)²
Distribute the square to the numerator and denominator.
2²/3²
Square the numerator and denominator.
4/9
The answer is 4/9.
Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
Firstly, This is not an equation. This is an expression!
Now, The solving:
=> [tex](\frac{2}{3})^2[/tex]
=> [tex]\frac{(2)^2}{(3)^2}[/tex]
=> [tex]\frac{4}{9}[/tex]
This is the Answer!
Hope it helps!
Don't hesitate asking anything regarding this!
Point A is at (-8, 5) and point M is at (-1.5, 1). If M is the midpoint of line segment AB, what are the coordinates of point B?
Answer:
(5,-3)
Step-by-step explanation:
If point A is 6.5 on the x axis away from point M, then point B must be the same distance away. -1.5+6.5=5. If point A is 4 on the y axis away from point M then point B must also be the same distance away. 1-4=-3.
So the answer must be (5,-3)
Find the area of CAT , given the following information:
Side c = 12 inches
Side t = 13 inches
Side a = 17 inches
Angle A = 75 degrees
Please help me idk this
The area of the figure is 84
Answer:84
Step-by-step explanation:
Evaluate. Thank you!
Answer:
Step-by-step explanation:
-2 4/12 - 3 9/12 - 4
-5 13/12 - 4
-6 1/12 - 4
= -10 1/12
solution is d
If x is 6, then 7x = _____.
Answer:
42
Step-by-step explanation:
7x = ? if x equals 6
So 7 x 6 = 42
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
Answer:42
Step-by-step explanation:
6= X
so then 7X=
7×6=42
tienes tres cajas. Cada una de ellas tiene una información. Caja 1:El oro esrá aquí,Caja 2: El oro no está aquí, Caja 3: El oro está en oa segunda caja. Solo una de las frases es verdadera. ¿Puedes asegurarme donde está el oro? ¿ Puedes asegurarme dónde no está el oro?
Answer:
el oro no está en la caja 1 ya que la aseveración es falsa, tampoco está en la 2 ya que la aseveración es verdadera por lo tanto está en la caja 3 cuya aseveración también es falsa.
creo que calza la respuesta, pero es diferente a la del solucionario. favor corrígeme si me equivoco.
You have purchased 5 lottery tickets (each with different numbers) for tonight’s Pick 4. In the Pick 4, one ball (numbered 0 – 9) is drawn from each of four cylinders. What are your odds of winning?
Please help
Answer: 0.05%
Step-by-step explanation:
Ok, you have 5 tickets with different combinations of 4 numbers of them.
Now, the total number of combinations of 4 numbers (0 to 9) can be found as:
For the first number we have 10 options.
For the second number we also have 10 options.
for the third number we also have 10 options
for the fourth number we also have 10 options.
The total number of combinations is equal to the product of the number of options for each selection, this is:
Combinations = 10*10*10*10 = 100*100 = 10,000.
So out of 10,000 possible combinations, you have 5.
Then the odds of winning is the quotient between the combinations that you have and the total number of combinations: p = 5/10,000 = 0.0005
In percentage form, this is: 0.0005*100% = 0.05%
The seventh grade wants to break last year's record of 78 coats collected for the annual clothing drive. They have already collected 13 coats. Part A Write and solve an inequality to represent the number of coats, c, that the seventh grade must still collect. Part B Graph the solution on a number line.
Answer:
78=c-13
c=65
____________________
13 65 78
Part A- An inequality to represent the number of coats collected by seventh grade students is, c, C > 65
Part B- The graph of the solution on a number line, i have attached image below.
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given Information,
The seventh grade wants to break last year's record of 78 coats collected,
They have already collected 13 coats,
A. They need 65 more clothes to reach at the record of 78 clothes,
If they wants to break the last year's record they should collect more than 65 clothes,
So, the inequality is, C≥65
B. Graph on a number is attached in image.
Hence, the number coat must be greater than 65
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