Answers
The postulate that could be used is the: linear pair postulate.
What is the Linear pair Postulate?If two angles share a common side and also a common vertex lie on a straight line, they both form a special angle relationship that is called the linear pair.
Based on the linear pair postulate, it is proven that angles that form a linear pair add up to 180 degrees and are therefore regarded as supplementary.
Angle CAD and angle CAB have a common side, side CA, and a common vertex, angle A. They are also on the straight line, line AB.
Thus, it can be proved that the angles CAB and CAD are supplementary based on the linear pair postulate.
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Related Questions
Jenna had a collection of 206 quarters, nickels, and dimes. She has twice as many nickels as
she does dimes. All of her coins together are worth $31.70. How many of each coin does she
have?
With equational proof
Answers
In linear equation, $56.65are the value of the coins in dollars .
What is a linear equation example?
Ax+By=C is the usual form for two-variable linear equations.As an illustration, the conventional form of the linear equation 2x+3y=5 When an equation is given in this format, finding both intercepts is rather simple (x and y).A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.We need to find how many of the 206 coins are nickels, dimes, or quarters.
We know the quantities of each coin in relation to one another.
From that relationship we can set up a ratio.
Let Q = number of quarters
Let D = number of dimes
Let N = number of nickels
Then Q:D:N = 1:1:2
this tells us if the girl had 4 coins, she would have 1 quarter, 1 dime, and 2 nickels.
We want to keep this same ratio but we want the total number of coins to be 206.
If we divide 206 by 4, we get the number that we use to multiply our ratio.
206/4 = 51.5
So she has 51.5 quarters, 51.5 dimes, and 103 nickels.
the value of the coins in dollars = 51.5(0.10) + 51.5(0.05) + 103(.25) = $56.65
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Kareem went for a drive in his new car. He drove at a speed of 63 miles per hour for 157.5 miles. For how many hours did he drive?
Answers
Answer: He drove for 2 hours and 30 minutes. Hope you do great! :)
Answer:2.5 hours
Step-by-step explanation:
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional?
The quantities Choose... proportional.
Answers
The dollar cost y and the amount of yogurt are proportionate
The formula is y = 0.08x
If y fluctuates as directly as x, you may express it as y = kx.
Where k is the proportionality constant.
Determine the value of the proportionality constant. When y = 2.56 and x = 32, you get:
y = kx
k = y/x
k = 2.56/32
k = 0.08
The equation is then: y = 0.08
Check to see if they are directly proportionate. Substitute the amount of yogurt purchased by Jonah. The outcome must be $0,48:
y = 0.08 (6) (6)
y = 0.48
The cost and amount of yogurt are proportionate in a straightforward manner.
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Kayla's mom left a 20% tip for a restaurant bill that was $35. She used the expression 1.20 (35) to find the total cost. Which equivalent expression could she also use to find the total cost?
O 35 +0.2
O (1+0.2)35
O 1+0.2(35)
O 1.02(35)
Answers
The equivalent expression which could be used to find the total cost is; ( 1 + 0.2 ) 35.
What is the equivalent expression to the given expression 1.20 (35)?It follows from the task content that the expression which is equivalent to 1.20(35) as given in the task content is to be determined.
Since the given expression whose equivalent is to be determined is; 1.20 (35).
Since a 20% tip indicates a 0.2 fraction of the whole, the resulting equation is therefore;
( 1 + 0.2 ) 35.
And ultimately, the required equivalent expression is; (1 + 0.2) 35.
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Express the ratio below in its simplest form.
6
:
2
:
6
Answers
Answer:
3 : 1 : 3
Step-by-step explanation:
6 : 2 : 6 ← divide each part ot the ratio by 2
3 : 1 : 3 ← in simplest form
One week, Claire earned $395.00 at her job when she worked for 25 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $126.40?
hurry, please<3
Answers
Answer:
8?
Step-by-step explanation:
so if 25 hours gets her to 395 dollars that you divide 395 by 25 to get how much money she makes per hour.
you get 15.8 then you have to see how many hours she has to work to make 126.40 which is 8 cuz 15.8 * 8 = 126.4
I THINK??
Pls help me with this due tomorrow!
Answers
Answer: y = 3x +1
Step-by-step explanation:
y =mx +b
m(slope) = 3
b(y-int) = ?
y = 3x+b
substitute in values
4 = 3(1) +b
4 = 3+b
b = 1
y= 3x+1
Each statement is either a phrase or a clause.
Drag each statement into the correct column of the table.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Phrase Clause
Answers
Answer:
phrase- around the corner- very slowly- Peter and michael
clause- put in the closet- when i go to school
Step-by-step explanation:
A clause is a collection of words with a subject and a verb. The words that make up a phrase do not include a subject or a verb.
Hope this helps! \( ﾟヮﾟ)/
Step-by-step explanation:
phrase- around the corner- very slowly- Peter and michael
clause- put in the closet- when i go to school
Step-by-step explanation:
A clause is a collection of words with a subject and a verb. The words that make up a phrase do not include a subject or a verb.
A circular swimming pool has a radius of 4
metres and a depth all over of 3 metres. Find the
volume of water in cubic metres, to the nearest
cubic metre. __m³.
Help please
Answers
= pie (4)(4) x (3)
= 48 pie
= 150.72 cubic metres
Answer: The volume of the circular swimming pool to the nearest cubic meter is 151 [tex]m^{3}[/tex].
Step-by-step explanation: According to the question the swimming pool is in the shape of a cylinder, and the top is circular having a radius and depth.
To calculate the volume of a cylinder(pool) we will use the formula for the volume of a cylinder:
The radius of the cylinder = 4 m
height h=3
The volume of the cylinder (V) = [tex]\pi r^{2} h[/tex]
=[tex]\pi (4)^{2} *3[/tex]
Plugging π =3.142
= 3.14*16*3
=150.72 [tex]m^{3}[/tex]
rounding off to the nearest cubic meter
=151 [tex]m^{3}[/tex]
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find X. (this is multiple choice the options are 3, 49, or 27
Answers
A piece of pipe that is 8 feet long is cut into 1/4 ft pieces. How many pieces can be cut from the pipe?
Responses
A 30 pieces
B 28 pieces
C 8 pieces
D 32 pieces
Answers
Answer:it is 32 peices d
Step-by-step explanation:
Ebony is cutting dough for pastries in her bakery. she needs all the pieces to be congruent triangles and has ensured that segment ef ≅ segment on and ∠mon ≅ ∠gef. what would ebony need to compare in order to make sure the triangles are congruent by sas? segment om and segment ef segment eg and segment om segment nm and segment fg segment eg and segment mn
Answers
The parts of the triangles Ebony needs to compare so as to make sure both triangles are congruent by SAS are;
[tex] \overline{EG} [/tex] and [tex] \overline{OM}[/tex]What are congruent triangles?Two triangles are said to be congruent when the three sides and three interior angles of one triangle have the same measure as the three sides and the three interior angles of the other triangle.
The given triangles are ∆MON and ∆GEF
The segments and angles that Ebony has ensured are congruent are;
[tex] \overline{EF} \cong \overline{ON}[/tex]
[tex] \angle{ MON} \cong \angle{ GEF}[/tex]
The method by which Ebony intends to use to make sure that the two triangles are congruent, SAS, Side–Angle–Side congruency postulate.
The Side–Angle–Side congruency postulate states that two triangles are congruent if two sides and an included angle in one triangle are congruent to the corresponding two sides and included angle in the other triangle.
Given that the sides that form included angles with [tex] \angle{ MON} [/tex] are [tex] \overline{ON}[/tex] and [tex] \overline{OM}[/tex] and the sides that form an included angle with [tex] \angle{ GEF}[/tex] are [tex] \overline{EF} [/tex] and [tex] \overline{EG} [/tex], the other segments Ebony needs to compare are therefore the segments;
[tex] \overline{EG} [/tex] and [tex] \overline{OM}[/tex]
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Find the value of the variable.
Answers
Answer:
x = 22
Step-by-step explanation:
(88 - x)° = 3x°
-x - 3x = -88
-4x = -88
[tex]x = \frac{-88}{-4} \\\\ x = 22[/tex]
what is eighty nine divided by six
Answers
Answer:
about 14, (its not a whole number but its the closest i could get)
Step-by-step explanation:
Answer:
14.833333333
Step-by-step explanation:
I'm assuming you want a rounded answer (14.83), but if you didn't it's 14.83 into perpetuity (meaning that the 3's don't end!)
Hopefully, I helped!
I need this answer in detail as soon as possible.
This is grade 6 maths
It will be better if you write in in a paper step by step answer and attach the picture.
Answers
The answer is 14metres 4m long 3m wide 2 x (4+3) = 14
Each length of bunting is 70 cm but a knot at each end will take 2 x 5 = 10 cm off
1400 / 60 = 23.333…
So she will need 24 lengths of bunting
Please help me. I’ve tried but I kept getting it wrong for some reason
Answers
Answer:
43
Step-by-step explanation:
Trust me, this is the right answer.
Answer:
Rate of change =$43
Step-by-step explanation:
Rate of change is also known as the gradient or slope
Gradient= y2 - y1 / x2 - x1
The Xcoordinate is usually written first.
Y2 = 384
Y1= 169
X2=8
X1= 3
Rate of change= 384- 169 /8-3
= 215/5
= $ 43
Use the given graph to complete the table. Then write an equation representing the relationship.
Answers
The equation of the relation is y = 3/2x.
x | y
0 0
2 3
4 6
How to Write the Equation that Represents a Proportional Relationship?To write the equation for the proportional relationship between two variables, x and y, find the unit rate, k, which is k = y/x.
Substitute the value of k into y = kx to write the equation of the relationship.
Using a point on the line, (2, 3):
k = y/x = 3/2
Substitute k = 3/2 into y = kx:
y = 3/2x
Using the equation, substitute each of the values of x in the table to get the corresponding value of y:
For 0:
y = 3/2(0)
y = o
For 2:
y = 3/2(2)
y = 3
For 4:
y = 3/2(4)
y = 6
The table is:
x | y
0 0
2 3
4 6
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PLEASE QUICK HELP MEE
Answers
Answer: 130 degrees
Step-by-step explanation:
The interior angle where line c intersects line b is equal to 50 (given). therefore, its supplementary angle is 130 degrees. the opposite angle is therefore equal to 130 degrees, which makes angel x equal to 130 degrees.
https://www.mathplanet.com/education/pre-algebra/introducing-geometry/angles-and-parallel-lines
F (x) =3x+2 and g (x) = x^2 - x, find the value F(8)
Answers
The value of F(8) is 26.
What is function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The collection of values that could result in a function's outputs is known as the co-domain.
Given:
F (x) =3x+2
Now, F(8)= 3x+2
=3(8) +2
=24 +2
=26
Hence, the value of F(8) is 26.
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Question number 4, how do I do the equation for question 4?
Answers
100 ml of the first solution and 200 ml of the second are required.
QUICKLYYY
Which situation below has the lowest constant of proportionality?
A) 40 ounces of fabric softener cost $20.00.
B) 20 ounces of powder laundry detergent costs $4.00.
C) 30 ounces of laundry scent boosters cost $12.12.
D) 90 ounces of liquid laundry detergent cost $36.00.
Answers
Answer: D
Step-by-step explanation:
Because I can math
what is problem 2/7i
Answers
2/7√-1........ ....................... . .
I need help with this question
Answers
Answer:
x = 7
Step-by-step explanation:
For line q and line r to be parallel lines,
the angle with a measure of 108 and the angle represented with measure 15x + 3 must be alternate interior angles which means two angles have equal measures so we can write the following equation:
15x + 3 = 108 subtract 3 from both sides
15x = 105 divide both sides by 15
x = 7
Convert 838% to an improper fraction written in its simplest form
Answers
To convert percent to a number divide it by 100
Then to convert 838% to a number divide it by 100
[tex]838\text{ \%=}\frac{838}{100}[/tex]To simplify divide up and down by 2
[tex]\begin{gathered} \frac{838}{100}=\frac{\frac{838}{2}}{\frac{100}{2}} \\ \frac{838}{100}=\frac{419}{50} \end{gathered}[/tex]The improper fraction is 419/50 in the simplest form
What is a line that passes through (3,1) and (0,-3)
Graph slope
Answers
Answer:
y=4/3x-3
Step-by-step explanation:
(y2-y1)/ (x2-x1)
Can you please help me , last one like this
Answers
Answer:
-5
Step-by-step explanation:
m = (11 - 6) / (13 - 14) = 5/(-1) = -5
Answer:
-5
Step-by-step explanation:
1-6/15-14=-5/1=-5
Write a word to match the equation. 3+( 4 x 12 )
Answers
Answer:
The sum of 3 and the product of 4 times 12.
Step-by-step explanation:
The equal sign would mean the words "the sum", which also corresponds with "3+". The 4 x 12 would be referred to by "the product" and "times".
A student is working on finishing a scale
model of the Eiffel Tower. The actual
tower is 1,083 feet tall and 410 feet wide
at the base. If the model currently has a
base that is 0.75 feet wide, which would
be the scale factor of the model to the
tower?
1:410
3: 1640
1:0.75
Answers
The scale factor of model to the tower is 3:1640.
What is scale factor?The scale factor states the scale by which a figure is bigger or smaller than the original figure.
In other words, scale factor is a ratio between two corresponding sides of similar figures.
Therefore, the actual tower is 1,083 feet tall and 410 feet wide at the base.
The scale model currently has a base that is 0.75 feet wide.
Therefore, the scale factor of the model can be calculated as follows;
The scale factor can be written as a ratio or fraction.
The scale factor of the base to the model is the same with the height of the tower to the model.
0.75 : 410
multiply both side by 100
75 : 41000
divide both sides by 25
Therefore,
3 : 1640
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Solve for a, b, and c.
a =
b=
C=
C
40⁰
Answers
B = 90 (right angle)
90 - 40 = 50
So C = 50
francesco obtains a loan of $18,965.00. the loan has a simple interest rate of 3%. how much interest will francesco owe at the end o the first year
Answers
The interest owned by Francesco at the end of one year would be $19023.69.
What is the formula to calculate the simple interest on a given principle amount?
The simple interest on a given principle amount [P] at rate [r%] for [t] years is given by -
I = (P x r x t)/100
Given is Francesco who obtains a loan of $18,965.00 at an interest rate of 3% for 1 year.
From the data given, we can write -
Principle amount = [P] = $18,965.00
Rate = [R] = 3%
Time = [T] = 1 year
Now, using the formula for calculating the simple interest, we get -
I = PRT/100
Substituting the values -
I = (18965 x 0.3 x 1)/100
I = (18965 x 0.3)/100
I = 189.65 x 0.3
I = 58.69
Amount = P + 58.69 = 18965 + 58.69 = 19023.69
Therefore, the interest owned by Francesco at the end of one year would be $19023.69
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