Answer:
Addition Property of Equality If AB = CD then AB + BC = BC +CD
Subtraction Property of Equality If AB + BC = BC + CD then AB = CD
Multiplication Property of Equality If m∢A = 90 then 2(m∢A) = 180
Division Property of Equaliity If 2(m∢B) = 180 then m∢B = 90
Substitution Property If m∢A + m∢B =180 and m∢B then m∢A + 90 =180
Distributive Property AB + AB = 2AB
Reflexive Property m∢B = m∢B
Symmetric Property If AB + BC = AC then AC = AB + BC
Transitive Property If AB ≅ BC and BC ≅ CD then AB ≅ CD
Segment Addition Postulate If C is between B and D, then BC + CD = BD
Angle Addition Postulate If D is a point in the interior of ∢ABC then m∢ABD + m∢DBC = m∢ABC
Linear Pair Postulate If two angles form a linear pair, then they are supplementary
Definition of Right Angle If ∢B is a right angle then m∢B = 90
Definition of Midpoint If P is the midpoint of segment AB then AP =PB
Definition of Segment Bisector If k intersects segment AB at M the Midpoint then k bisects segment AB
Definition of Perpendicular Lines If two lines are ⊥ they form right angles
Definition of Congruent Segments If AB = CD then segment AB ≅ segment CD
Definition of Congruent Angles If ∡A ≅∡ B then m∡A=m∡B
Definition of Angle Bisector If ray AB bisects ∡CAD then∡ CAB ≅ ∡ BAD
Definition of Complementary Angles If ∡ Z and ∡Y are complementary m∡Z +m∡Y =90
Definition of Supplementary Angles If ∡ S and ∡T are supplementary m∡S +m∡T = 180
Step-by-step explanation:
A machine made 4 1/2 pencils in 3 1/3 minutes. How many pencils did the machine make in one minute?
Given parameters:
Number of pencils = [tex]4\frac{1}{2}[/tex] pencils
Time taken = [tex]3\frac{1}{3}[/tex] minutes
Unknown:
Number of pencils produced in 1 minute;
Solution:
To solve this problem, let us first find the rate of the machine;
Rate of machine = [tex]\frac{number of pencils }{time taken}[/tex]
Rate of machine = [tex]\frac{\frac{9}{2} }{\frac{10}{3} }[/tex] = [tex]\frac{9}{2} x \frac{3}{10}[/tex] = [tex]\frac{27}{20}[/tex] pencils/minute
Now, number of pencils produces in 1 minute;
Number of pencils = rate of machine x time taken
Number of pencils = [tex]\frac{27}{20}[/tex] pencils/ min x 1 min
Number of pencils = [tex]\frac{27}{20}[/tex]pencils
The number of pencils produced in 1 minute is [tex]\frac{27}{20}[/tex]
The cheese we ate had quite a nip. Iready
I think that it is a strong, almost unpleasant flavor because it cannot be a verb because nip in this context is what the cheese has and that cannot be a verb.
I don't think that it is a cold, unpleasant feeling because it's cheese, and the feeling is usually used to describe things you touch with your hands.
Answer:
It is a string, almost unpleasant, flavor
Step-by-step explanation:
The total cost of a shopping trip was $123.35? Layla bought 4 skirts and a pair of shoes for $35.67. Which equation can be used to find the price of each skirt?
A. 123.35 = 35.67x +4
B. 35.67 = 123.34x + 4
C. 35.67 = 4x + 123.34
D. 123.35 = 4x + 35.67
Answer: D
Step-by-step explanation: The 4 skirts cost are unknown which makes up the 4x and the extra pair of shoes adds on to the cost by 35.67.
Last week, Leonardo's hamster drank 25 mL of water. This week he drank 15 mL of water. By what percent did the hamster’s intake of water decrease?
Answer:
40%
Step-by-step explanation:
It went down by 10 ml.
40% of 25 is 10, so te answer would be 40%
Answer:
60%
Step-by-step explanation:
Part/whole method:
[tex]\frac {15} {25} = \frac {p} {100}[/tex]
15·100=1,500
1,500÷25=60
15 is 60% of 25
Which of the following expression(s) are equivalent to 0.16? Select all that apply.
A)
16
100
B)
9
50
OD) 16%
.
Answer:a
Step-by-step explanation:
I need help with all of these.
Answer:
1: m=2
2: g=7
3: y=13
4: a=-27
5: x=15
6: w=-18
Answer:
1. m = -2
2. g = 7
3. y = 13
4. a = -36
5. x = 15
6. w = -18
Step-by-step explanation:
1. Make the constant to the right-hand side and change its sign
a = 10 - 12
Calculate the difference a = -2
Solution
a = -2
2. Move variable to the left-hand side and change its sign
-g - 2 = - 9
Move constant to the right-hand side and change its sign
-g = -9 + 2
Calculate the sum
-g = -7
Change the signs on both sides of the equation
g = 7
Solution
g = 7
3. Divide both sides of the equation by - 7
-7y ÷ (-7) = -91 ÷(-7)
Any expression divided by itself equals 1
y = 91 ÷ (-7)
Divide two negatives equals a positive: (-) ÷(-)=(+)
y = 91 ÷ 7
Calculate the quotient
y = 13
Solution
y = 13
4. Multiply both sides of the equation by 9
9 x a/9 = 9 x (-4)
Reduce the number with the greatest common factor 9
a = 9 x (-4)
Multiply a positive and a negative equals a negative: (+)x(-)=(-)
a = -9 x 4
Multiply the numbers
a = -36
Solution
a = -36
5. Multiply both sides of the equation by 3/2
3/2 × 2/3x = 3/2 × 10
Reduce the numbers with the greatest common factor 3
1/2 × 2x = 3/2 × 10
Reduce the numbers with the greatest common factor 2
x = 3/2 × 10
Reduce the numbers with the greatest common factor 2
x = 3 x 5
Multiply the numbers
x = 15
Solution
x = 15
6. Multiply both sides of the equation by 9/4
9/4 x 4/9w = 9/4 x (-8)
Reduce the numbers with the greatest common factor 9
1/4 x 4w = 9/4 x (-8)
Reduce the numbers with the greatest common factor 4
w = 9/4 x (-8)
multiplying a positive and a negative equals and negative: (+)x(-)=(-)
w = -9/4 x 8
Reduce the numbers with the greatest common factor 4
w = -9 x 2
Multiply the numbers
w = -18
Solution
w = -18
9 of 10
Work out
3 4.
2 +1
4 5
Give your answer as a mixed number
where appropriate.
Solve the equation. Check your answer.
4|2x - 2|= 32
Answer:
x
=
4
or
x
=
−
4
Explanation:
First divide throughout by
2
to get
x
2
=
16
Now take the square root on both sides to get
x
=
±
4
.
You may now substitute the values of
x
=
4
and
x
=
−
4
back into the original equation and check that it satisfies the equation which it does.
Step-by-step explanation:
Answer:
x= -3 , x=5
Step-by-step explanation:
4|2x-2|=32
|2x-2|=8
2x-2=8
2x-2= -8
x=5
x=-3
What is the size of angle t in the image below? Give
your answer in degrees ().
t
340°
Reflex angle
Step-by-step explanation:
Reflex angle is more then 180 and less then 360
Answer:
yes buddy ans is reflex angle
ab-a-b+1
I know it splits into a(b-1)-1(b-1) but can someone explain in words how it becomes (a-1)(b-1) thanks
Answer:
ab - a - b + 1 = (a - 1)(b - 1)
Step-by-step explanation:
Let us explain factorization by grouping
In the expression of 4 terms ax + by + bx + ay
Take every two terms have a common factor in a bracket
(ax + ay) + (bx + by)Take the common factor out of the brackets
a(x + y) + b(x + y)Take the bracket as a common factor
(x + y)(a + b)Let us do these steps with our question
∵ ab - a - b + 1 is an expression of 4 terms
→ Take ab and a in a bracket, -b and 1 in another bracket
∴ ab - a - b + 1 = (ab - a) + (-b + 1)
→ Take a as a common factor from the 1st bracket and -1 from
the 2nd bracket
∴ (ab - a) + (-b + 1) = a(b -1) + -1(b - 1)
→ Take the bracket (b - 1) as a common factor
∴ a(b -1) + -1(b - 1) = (b - 1)(a + -1)
∵ (+)(-) = (-)
∴ (b - 1)(a + -1) = (b - 1)(a -1)
→ Change the order of the bracket
∴ (b - 1)(a -1) = (a - 1)(b - 1)
∴ ab - a - b + 1 = (a - 1)(b - 1)
Help Me Please. ? And Thank You
Answer:
20
Step-by-step explanation:
how, because 3 is 12, 4 is 16 because multiply by 4
This graph represents −x−2y=−4 .
Which ordered pair is in the solution set of −x−2y≤−4 ?
A. (−4, 1)
B. (−1, 4)
C. (−4, −1)
D. (4, −1)
Answer:
B
Step-by-step explanation:
We have the equation [tex]-x-2y=-4[/tex] and we want to find which ordered pair is in the solution [tex]-x-2y\leq -4[/tex]
First, let's convert the inequality to slope-intercept form. So, we have:
[tex]-x-2y\leq-4[/tex]
Add x to both sides:
[tex]-2y\leq x-4[/tex]
Divide both sides by -2. Since we're dividing by a negative, we will flip the sign:
[tex]y\geq- \frac{1}{2}x+2[/tex]
Therefore, our original inequality will be the same as above.
Notice that our y is greater than our equation.
Therefore, the shaded area will lie above our line.
So, any point that falls within the region above our line (in the graph) and on the line is a solution to our inequality.
(-4, 1) is below our line, so it's not a solution.
(-1, 4) is above our line. So, (-1, 4) is our answer.
(-4, -1) is again below our line. So, it's not a solution.
Finally, (4, -1) is also below our line, so it's not a solution.
Therefore, our final solution is B: (-1, 4).
Let's check this. Substitute -1 for x and 4 for y. This yields:
[tex]-(-1)-2(4)\stackrel{?}{\leq}4[/tex]
Multiply:
[tex]1-8\stackrel{?}{\leq}{4}[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{\leq}4[/tex]
So, (-1, 4) is indeed our solution.
And we're done!
Bria and Mandy each bought some candy Bria bought 5 packs of skittles for $9.75 Mandy bought 7 packs of skittles for $11.97
Keira cut a 6 meter 9 centimeter stick into 5 equal pieces. Shayla cut a 460 centimeter stick into 4 equal pieces. How much longer is one of Shayla's wires than one of keira's?
HELP HELP HELP BASVDHGJUAWGJVJB i need it before 11:59 :(
Answer:
Keira : 609cm/5 = 121.8cm
Shayla : 460cm/4 = 115cm
6.8cm
Step-by-step explanation:
In this equation it looks like one of keira's wires is longer since when you divide the total number of centimeters (609) by 5, you get 121.8
The difference between keira and shayla's wire is 6.8cm
The number 20 is decreased to 19. What is the percentage by which the number was decreased, to the nearest tenth of a percent
Answer:
(19-20)/20 = -.05 or a decrease of 5% (-5%)
Step-by-step explanation:
(final number - initial number) / initial number * 100
Find the absolute value. |-5.3|
Answer:
5.3
Step-by-step explanation:
because it is going to the left 5.3 so if you absolute value it, it will still be 5.3
Bill has $12,400 in a regular savings account earning 43% annual interest
that is compounded monthly. How much will be in the account at the end of 3
years?
Round to the nearest cent, and do not include the dollar sign in your answer.
Answer:
44041.03
Step-by-step explanation:
A = P(1 + r/n)^nt
= 12400(1 + .43/12)^12(3)
= 12400(1.03583333)³⁶
= 12400(3.55169589)
= 44041.029
What ratio is equivalent to 12;6
Answer:
2:1, 4:2, 6:3, 8:4, 10:5, etc.
Step-by-step explanation:
Answer:
12 : 6 24 : 12 36 : 18 48 : 24 60 : 30
2:1 (just to name a few, Let me know if one the answer)
Step-by-step explanation:
multiply both by a number, kinda like a fraction.
Simplify 0.3(x - 2y) + 0.5x - y.
Sorry I would give more points but I really dont have much.
Answer:
0.8x - 1.6y
Step-by-step explanation:
Step 1: Write expression
0.3(x - 2y) + 0.5x - y
Step 2: Distribute 0.3
0.3x - 0.6y + 0.5x - y
Step 3: Combine like terms
0.8x - 1.6y
Answer:
0.8x - 1.6y
-step explanation:
Lines k and l are parallel. When lines k and l are cut by the transversals below, an isosceles triangle is formed. Lines k and l are parallel. Lines s and t intersect lines k and l to form a triangle. At the intersection of lines s, t, and k, clockwise from top left, the angles are blank, blank, blank, 70 degrees, 1, blank. At the intersection of lines s and l, the angles are blank, x degrees, blank, blank. At the intersection of lines l and t, the angles are x degrees, blank, blank, blank. What is Measure of angle 1? 35 degrees 40 degrees 55 degrees 70 degrees
Answer:
its 48
Step-by-step explanation:
Answer:
it's 40
Step-by-step explenation
dont need one the people have brains
Solve for the given variable:
14=63n
Answer:
n = 2/9
Step-by-step explanation:
switch sides: 63n=14
divide both sides by 63: 63n/63 = 14/63
simplify: n = 2 / 9
I NEED HELP I AM STUPID SO I DONT GET THIS HERE IS THE QUISTION 4-x-6(x+5)=15 HE ALSO SAID THIS - Students will determine whether an equation has 0, Infinite, or 1 solution, and if 1, find it. I ADDED A SCREEN SHOT OF QUISTION PLS HELP ME OR I AM FAILING THIS CLASS
Answer:
im pretty sure it has two real solutions
Step-by-step explanation:
1. simplify the equation given
(4x - 6)(x + 5) = 15
4x^2 + 20x - 6x - 30 = 15
4x^2 + 14x - 45 = 0
2. find the discriminant (b^2 - 4ac); (a = 4, b = 14, c = -45)
14^2 - (4 x 4 x -45)
196 - (-720)
916
the discriminant is positive, so this equation has 2 real solutions
to find the solutions, factor the bolded equation (if you need help factoring, let me know!)
What is the product?
-9x(5-2x)
Answer:
− 45 x + 18 x^2
Step-by-step explanation:
Please help me please!!!!!!!! I will give brainliest
Answer:
No
Step-by-step explanation:
Counterexample for the numbers 25 and 10
The actual LCM is 50
If you were to multiply both numbers together you would get 250 which is incorrect
Can you help me please
Answer:
Using trigonometry:
Let's take Tan of 60 degrees:
Tan 60 degrees = Opposite / adjacent
We can see that the opposite side is 3√3 and the adjacent side is x
Tan 60 degrees = 3√3 / x
From the trigonometric table, we know that Tan 60 degrees is √3
√3 = 3√3 / x
x = 3√3 / √3
x = 3
Now, we will take Sin of 60 degrees
Sin 60 degrees = Opposite / Hypotenuse
We can see that the opposite side is 3√3 and the hypotenuse is y
Sin 60 degrees = 3√3 / y
From the trigonometric table, we know that Sin 60 degrees is √3 / 2
√3/2 = 3√3 / y
y = 3√3 / (√3/2)
y = 3√3 * 2/√3
y = 6
Therefore, y = 6 and x = 3
The neutral point of your glider depends on what?
Answer:
The size of the wing and the size of the horizontal stabilizer
Step-by-step explanation:
An office printer prints 25 photos in 12.5 minutes. A home printer prints 15 photos in 6 minutes. Which printer is faster?How many more photos can you print in 12 minutes using the faster printer?
Answer: The answer is that the office printer prints faster and it can print 30 photos in 15 minutes.
Step-by-step explanation:
I know this ain't wrong for a fact.
Joey would like to apply for a loan but knows that his high debt-to-income (DTI) ratio will probably get in his way
He would like to lower his DTI ratio by lowering the amount of his gross monthly income that goes to living
expenses.
Joey's current monthly expenses include a rent payment of $1,100, a $178 car payment, and a combined minimum
payment of $220 for his credit card debt. His current gross monthly income is $3,600. If Joey moves to a new
apartment, what is the maximum monthly rent payment he can make and still maintain a DTI ratio of 36%?
a $702
b. $898
$922
d. $960
more
C
Answer:
$898
Step-by-step explanation:
Based on Joey's debt-to-income ratio, the maximum monthly rent payment he can make and still maintain the DTI ratio is b. $898.
Monthly debt maximum paymentJoey has a DTI ratio of 36% which means that his maximum debt payment should be 36% of his income. This amount would be:
= DTI x monthly income
= 36% x 3,600
= $1,296
Maximum monthly rentThis can be found as:
= Maximum monthly debt payment - Car payment - Credit card payment
= 1,296 - 178 - 220
= $898
In conclusion, option B is correct.
Find out more on DTI ratios at https://brainly.com/question/24814852.
Dos numeros que al sumar den -8 y al multiplicar den -12
Answer:
english please
Step-by-step explanation:
Determine if the ratio or rates are equivalent: 120 calories in 2 servings; 360 calories in 6 servings OMG PLS HELP ASAP I NEED HELP YOU GET 25 PIONTS
Answer:
No, they are not equivalent
Step-by-step explanation:
Because
120/2 Can not be divided equally into 360/6
Answer:
Yes
Step-by-step explanation:
They are equivalent because if you write the ratio's out, you get 120:2 and 360:6. If you then simplify both, you get 60:1. To simplify these, you need to find a common factor. In 120:2, you can tell that both numbers can be divided by two because they are both even. After dividing, you get 60:1. In 360:6, you can tell that both numbers can be divided by 6 since they both are multiples of 6. After dividing, you get 60:1. Because these to ratio's are equal, they are equivalent.