The scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
To find the scale factor from triangle ABC to triangle PQR, we need to compare the corresponding side lengths of the two triangles.
Side AB corresponds to side PQ, which has a length of 6 units.
Side BC corresponds to side QR, which has a length of 9 units.
Side AC corresponds to side PR, which has a length of 12 units.
So, the scale factor from triangle ABC to triangle PQR can be found by comparing the ratio of corresponding side lengths:
AB/PQ = BC/QR = AC/PR
Using the values we found above, we can write:
|AB/PQ| = 2/3
|BC/QR| = 3/4
|AC/PR| = 4/5
Since all three ratios are equal in magnitude, we can take any one of them to be the scale factor. Therefore, the scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
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Explain what is square root in simple form using example.
If something is written in its simplest radical form, that means that you have already found all possible roots and eliminated any radicals from the denominator of a fraction. ... For example, if your fraction is 2/√7, multiply by √7/√7 to get 2√7/√49. This will simplify to 2√7/7. hope this helps
Answer:
Square roots are the opposite of “squaring” a number, or multiplying it by itself. For example, three squared is nine (3 2 = 9), so the square root of nine is three. In symbols, this is √9 = 3. The “√” symbol tells you to take the square root of a number, and you can find this on most calculators.
Step-by-step explanation:
hope it helps
Is y=1/4x a function
Can someone please help me
Answer:
z
Step-by-step explanation:
- Find the sum of (2+4i) and (3-6i)
(2+4i )+(3-6i)
= 2 + 4i+3 -6i
= 5 - 2iAnswer:
5-2i
Step-by-step explanation:
(2+4i)+(3-6i)
2+4i+3-6i
5-2i
Please correct me if I am wrong
Zevel overheard Bradley say he got a 66% on the last test. If Zevel only got one-third what
Bradley got, what is Zevel's score?
Answer:
22
Step-by-step explanation:
66 ÷3=22
3= one third
50 POINTS!!!!!!!!
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table: Roll Points Same number on both dice +3 Different numbers, with an even sum +1 An odd sum -2 At the end of ten rounds, the person with the highest number of points wins. In the first three rounds, Xander had the following rolls. Write an addition expression that can be used to find his point total at the end of the three rounds
Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)
How to solve rolled dice problems?From the given ,question Abbie, Chloe, and Xander are playing a dice game.
They are playing with two dices.
The game rules are;
Same number on both dice = +3
Different numbers, with an even sum = +1
An odd sum = -2
After five rounds, score of Chloe = +1
1 = 3 + 1 + (-2) + (-2) + 1
⇒ Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)
If we alter the arrangements, In each case you will get sum as (+1), as integers satisfy both Commutativity and Associativity with respect to addition.
Complete question is;
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:
Same number on both dice +3
Different numbers, with an even sum +1
An odd sum -2
In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.
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Answer:
-2
-2
-2
-2
-2
The least number of rounds will be four. She will need to throw four, (different numbers, with an even sum).
Step-by-step explanation:
Katie wants to buy a bracelet. She only has $30 to spend. She has found a bracelet with a regular price of $45 and a discount of 35%. If the sales tax is 7%, will she have enough to buy the bracelet? If so, how much money will Katie have left? If not, how much more money will she need?
Given :
Money Katie has, M = $30.
She has found a bracelet with a regular price of $45 and a discount of 35%.
The sales tax is 7%.
To Find :
Will she have enough to buy the bracelet.
Solution :
Original price = $45 .
Price after discount = $( 45 - 45×0.35) = $29.25 .
Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .
Since, selling price is greater than $30.
Money needed = $( 31.2975 - 30 ) = $1.2975 .
Therefore, Katie will not buy the bracelet.
Please send an answer quick I really need it the picture is above.
Answer:
-132
Step-by-step explanation:
When you plug in -8 to every x you get -2(8)^2+2(8)-20 which gives you -132.
1 3/4 cups of flour per 1/8 cup of milk
Answer:
14
Step-by-step explanation:
Divide them.
The measure of an angle is 108°. What is the measure of a supplementary angle?
Answer:
72 degrees
Step-by-step explanation:
180-108=72
where I got 180: a supplementary angle is 180 degrees
3/4 + 1/6z = 35/4 solve
Answer:
z = 48
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex] z = [tex]\frac{35}{4}[/tex]
Multiply through by 12 ( the LCM of 4 and 6 )
9 + 2z = 105 ( subtract 9 from both sides )
2z = 96 ( divide both sides by 2 )
z = 48
A gymnastics school offered a special for enrollment where a new student could enroll for half the price after paying a $17.50 application fee. Twelve new students enrolled, and the school collected $750. Which equation can be used to find p, the regular price of enrollment?
Answer:
12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.
Step-by-step explanation:
So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2
where p = regular price of enrollment
So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.
So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)
The amount they all paid is $750.
To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750
The correct answer is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750
Explanation:
In mathematics, an equation represents equality; this means mathematical expressions are placed to the sides of the equality sign and these have the same value. Moreover, if an equation is written based on a situation or description, the values should include the appropriate mathematical symbols (+, -, x, etc) depending on how each of the factors in the equation relates.
In the case presented, it is known the total collected was $750 and due to this, this value should be placed to one side of the symbol =. Moreover, this value was obtained as students paid 17.50 of the application fee plus half of the price. This can be written as [tex]\frac{p}{2}[/tex] (a half price or price divided 2) + 17.50 (application fee). Finally, these two values should be multiplied by 12 (number of students that paid). According to this, the equation is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750.
What is the equation of a line that is parallel to the line y = 2x + 7 and passes through the point (–2, 4)? A. y = −12x + 3 B. y = 2x + 4 C. y = −12x − 2 D. y = 2x + 8
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept)
y = 2x + 7 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, thus
y = 2x + c ← is the partial equation
To find c substitute (- 2, 4) into the partial equation
4 = - 4 + c ⇒ c = 4 + 4 = 8
y = 2x + 8 → D
8oz./1 cup = ?/12 cups. How many ounces are in 12 cups?
Answer:
12cups=96oz.
Step-by-step explanation:
multiply the volume value by 8
12 oz equals 1.50 cups. 1 ounce is equivalent to 0.125 cups, and there are 1.50 cups in 12 ounces.
The Huggins family went out to dinner. The price of the meal was $62.95. The sales tax is 8% of the
price of the meal. The tip is 15% of the meal and the sales tax. How much money did the family
pay for the meal, including tax and tip?
Answer:
$62.95 (meal) + $5.03 (sales tax) +$.75 (sales tax tip) + $9.44 (meal tip)
Total: $78.17
Answer:
$78.19
Step-by-step explanation:
To find the total after the sales tax is charged you have to do
$62.95 x 1.08 (1 = to the total and .08 to add sales tax value) =$67.986 round*
Now you take $67.99 (has been rounded) and multiply but .15 to find out what is 15% of $67.99 , it comes out to be 10.1979 (Round)
Now to finish you add $67.99 +$10.20 = $78.19
Chase and sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of gum for 5.70. Sara bought 2 pieces of fudge and 10 pieces of gum for 3.60. Determne If I were to buy 20 pieces of fudge and 20 pieces of bubble gum, it would cost me $
Let, price of fudge and gum is x and y respectively.
Converting given statements into mathematical equation.
We get :
5x + 3y = 5.70 ....1)
2x + 10y = 3.60 ....2)
Solving equation 1 and 2, we get :
x = $1.05 .
y = $0.15 .
Price of buying 20 pieces of fudge and 20 pieces of bubble gum is :
P = 20( 1.05 ) + 20( 0.15 )
P = $24
Hence, this is the required solution.
Frank has been driving at a constant speed for 3 hours, during which time he traveled 195 miles. Frank would like to know how long it will take him to complete the remaining 455 miles, assuming he maintains the same constant speed. Help Frank determine how long the remainder of the trip will take. Include a table or diagram to support your answer
Answer:
10.6 hours
Step-by-step explanation:
Find the slope when give. the following points : (1,6) and (3,-4)
Answer:
y = -5x + 11
Step-by-step explanation:
Slope (m) =
ΔY
ΔX=
-5
1
= -5
θ =
arctan( ΔY ) + 360°
ΔX
= 281.30993247402°
ΔX = 3 – 1 = 2
ΔY = -4 – 6 = -10
Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186
A. Corresponding angles
B.Same side interior angles
C. Alternate exterior angles
D. alternate interior angles
Answer:
Alternate exterior angles
is this a function? x
the correct answer for this question is 2.the reason why it is 2 is because your adding 2 to each one.
Help, please. I will give brainliest to anyone that answers first.
Answer:
5000 I think bc 5 times 1000 is 500
Answer:
Step-by-step explanation:
1000 meter = 1 kilometer
1 km= 1000 meter
constant proportionality
y/x=k
y is km , x is meter
1/1000=k
y=1/1000 x (x is the number of meters)
meter Km
250 0.25
12 12/1000=0.012
1 1/1000
kilometer meter
5 5000
20 20000
0.3 300
What is the solution?
-6x - 1 =23
Answer:
X=-4
Step-by-step explanation:
the first thing you do is add 1 to both sides to make the variable be alone
-6x=24
now divide 6 on both sides the variable cancels out and your left with 24/-6
so your answer is -4
the sum of the 2 integers is -112. if one of them is -109 find the other
Answer:
let x and be the two integers
x+y=-112
if one of them is -109
let x be one of the that is substitute-109 to the above equation
-109+y=-112
collect like terms to the left hand side.
-109+112=-y
3=-y
move the sigh to the constant
y=-3
Picture provided
Please solve.
Step-by-step explanation:
hope this helps, good night!!!!
3.186e + 15
Convert this into a number will give Brainliest please answer as soon as possible!
Answer:
3,186,000,000,000,000
Explanation:
3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000
____________________
People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.
Because 3.186e + 15 may come out as 23.66044590547
Multiplying 2×1 3/7 is equal to how much
Answer:
20/7 or 2 and 6/7
Step-by-step explanation:
This equation works out to 2/1 • 10/7, which we can easily see equals 20/7, or 2 and 6/7, by multiplying the numerators and denominators.
Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use
Pleas help
Answer:
He used 9 rubberbands.
pls give me brainliest if correct.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
36 divided by 1 over 4 equals 9
9+9+9+9=36
1+1+1+1=36
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4 4 4 4
URGENT NEED HELP DUE IN 12 AM
Answer:
ASA
Step-by-step explanation:
you can prove it by using ASA (Angle Side Angle)
ASA is a postulate that states if two angles and one side are congruent to another triangle.
hope this helps :)
brainliest?
Answer:asa
Step-by-step explanation:
because it is lol
Carla is ordering pizzas for delivery. Each pizza costs $8, and there is a $6 delivery charge for the order. Write the function f(x), that Carla can use to determine the amount she will pay for having x pizzas delivered.
Answer:
8x+6
Step-by-step explanation:
Because each pizza is $8 you would have to multiply 8 by the amount of pizzas. Then you add the six because you only pay for the delivery charge once.
PLS ANSWE PLS NEED HELP ASAP
Answer:
D. 75
Step-by-step explanation:
Bc they are congruent that means that DAY has angles 60 and 45 so you add them together to get 105 and bc triangles are 180 deg, the last angle is 75 (180-105 = 75)