The answer for this problem is that the number is 31p
Please help me answer this question on congruent triangles. 30 points available.
Answer:
Pair A are not congruent.
To prove two triangles are congruent, 3 equal angles aren't sufficient.
Pair B are not congruent as well.
To prove they are congruent using ASA we have to make sure the given equal side lies between the 2 angles, which it is not.
They are not congruent
A building that is 300 m
tall casts a 270 m
shadow. At the same
time, a different building
casts an 90 m shadow.
How tall is the building?
Answer:
10m
Step-by-step explanation:
we can use the cross multiply method.
300m = 270m
x m = 90m
270x = 300 x 90
270x = 2700
x = 10
so the buliding is 10m tall
Factor the trinomial:
5x^2+21x+4
Answer:
(5x+1)(x+4)
Step-by-step explanation:
5*4 = 20
20*1 = 20 and 20+1 = 20
5x^2+20x+1x+4
5x(x+4)1(x+4)
5x+1)(x+4
Write the equation y=3/4x-4 in standard form
The equation 3x - 4y = 16 is now in standard form, where A = 3, B = -4, and C = 16.
To convert the equation y = (3/4)x - 4 into standard form, we need to eliminate any fractions and rewrite it in the form Ax + By = C, where A, B, and C are integers.
The given equation is already almost in standard form, but we can proceed with the following steps:
Step 1: Multiply both sides by 4 to eliminate the fraction:
4y = 3x - 16
Step 2: Move all terms to one side of the equation to have zero on the other side:
3x - 4y = 16
The equation 3x - 4y = 16 is now in standard form, where A = 3, B = -4, and C = 16.
To know more about standard form:
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8. Which pair of lines must be parallel?
A. p and r
B. g and s
C. p and s
D. q and r
Answer:
The answer is q and r
Step-by-step explanation:
The lines that are parallel are p and r.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
From the figure,
There are four lines p, q, r, and s.
Now,
The lines p and r are parallel.
Thus,
p and r lines are parallel.
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1. What is the correct reason for statement #3?
2. What is the correct reason for statement #4?
3.What is the coolest reason for statement #5?
Answer:
1) B. Combine-like terms
2) A. Subtraction Property of Equality
3)D. Division Property of Equality
Step-by-step explanation:
Quadrilateral ABCD is a parallelogram. Determine the measure of Angle A
A) 96°
B) 52°
C) 39°
D) 78°
Answer:
[tex]\huge\boxed{\text{(A)}\ 96 \textdegree}[/tex]
Step-by-step explanation:
A parallelogram has two pairs of identical angles.
The identical angles will be directly opposite from each other.
This means that:
Angle C = Angle AAngle D = Angle BTherefore, we can say that Angle A is 3x degrees and Angle B is x+52 degrees.
It's also important to note that all angles in a quadrilateral add up to 360°.
Since we know the measure of each angle, we can add up the expressions for each and find x.
[tex]3x + 3x + (x+52) + (x+52) = 360[/tex]
Let's simplify this equation.
[tex]6x+(x+52)+(x+52)=360[/tex] [tex]8x+104=360[/tex] [tex]8x=256[/tex] [tex]x=32[/tex]Now that we know the value of x, let's use it to find the measure of Angle A.
We already proved earlier that Angle C is equivalent to Angle A. Since we know the expression for Angle C (3x) it'll be the same for angle A.
[tex]3(32)=96[/tex]
So A is 96°
Hope this helped!
Answer:
Step-by-step explanation:
96 degrees
What is the perimeter of a parallelogram with base 32 cm, side length 34 cm, and height 19 cm?
Answer:
[tex]p=132cm^2[/tex]
Step-by-step explanation:
Given the following question:
Formula for perimeter:
[tex]2(s+b)[/tex]
We are given a base and a length for this parallelogram. So, to find the perimeter we simply have to substitute the values into the formula and solve.
[tex]2(s+b)[/tex]
[tex]2(34+32)[/tex]
[tex]34+32=66[/tex]
[tex]2(66)[/tex]
[tex]2(66)=2\times66=132[/tex]
[tex]p=132cm^2[/tex]
Hope this helps.
please help with question
Answer:
We can assume angles 102° and angles 0 and 42° are alternate interior angles.
So, to solve for 0, we must add this unknown angle to 42° and make it equal to 102°;
Let's make '0', x(our variable we solve for)
x + 42 = 102
-42 -42
x = 60
Match each equation to the situation it represents.
Answer:
I believe you need to switch the equations from the top and middle problems.
Step-by-step explanation:
I hope this helps
what is 2 1/2 divided by 1 5/8
Answer:
2 1/2 divided by 1 5/8 equals to 1.53846153846
A recipe for 12 waffles calls for 112 cups of milk, 214 cups of flour, and 113 cups of other ingredients. 4 pts each/16 pts total A... What is the total number of cups of ingredients needed for 12 waffles?... B... What is the total number of cups of ingredients needed for 36 waffles? .... C... If the milk is reduced to 1 cup and the amount of 'other ingredients' (not including the flour) is increased to 2 cups, would the total amount of ingredients for 12 waffles increase or decrease from the original recipe? Justify your thinking... D... If a baker has a 5 pound bag of flour, which is approximately 17 cups of flour, how many complete recipes for 12 waffles can the baker make?... Justify your thinking...
This question was not written properly
Complete Question
A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients.
Answer:
A 5 1/12 cups of ingredients
B 10 1/6 cups of ingredients
C The total amount of ingredients for 12 waffles would increase from the original recipe.
D 7.56 or 7 5/9 recipes
Step-by-step explanation:
A... What is the total number of cups of ingredients needed for 12 waffles?...
The total number of cups of ingredients needed =
1 1/2 cups of milk + 2 1/4 cups of flour + 1 1/3 cups of other ingredients
(1 + 2 + 1) + (1/2 + 1/4 +1/3)
4 + ( 6 + 3 + 4/12)
4 + (13/12)
4 + (1 1/12)
= 5 1/12 cups of ingredients
B... What is the total number of cups of ingredients needed for 36 waffles? ....
If 12 waffles requires = 5 1/12 cups of ingredients
36 waffles =
Cross Multiply
= (36 waffles × 5 1 /12)/12 waffles
= 10 1/6 cups of ingredients
C... If the milk is reduced to 1 cup and the amount of 'other ingredients' (not including the flour) is increased to 2 cups, would the total amount of ingredients for 12 waffles increase or decrease from the original recipe?
Justify your thinking...
Original recipe.
A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients = total of 5 1/12 cups of ingredients
Current recipe
1 cup of milk + 2 1/4 cups of flour + 2 cups of other ingredients
1 + 2 + 2 + (1/4)
5 1/4 cups of ingredients
Therefore, total amount of ingredients for 12 waffles would increase from the original recipe. This is because when you subtract 5 1/12 from 5 1/4 you get a difference of 1/6 cups
5 1/4 - 5 1/12 = 1/6
D... If a baker has a 5 pound bag of flour, which is approximately 17 cups of flour, how many complete recipes for 12 waffles can the baker make?... Justify your thinking...
The original recipe has 2 1/4 cups of flour as its quantity for 12 waffles
Hence:
2 1/4 cups of flour = 12 waffles
17 cups =
17 × 12/2 1/4
= 204÷ 2 1/4
= 204 ÷ 9/4
= 204 × 4/9
= 90.666666667 or 90 2/3 Waffles
If = 12 waffles = 1 recipe
90 2/3 waffles =
7.56 or 7 5/9 recipes
Given
Total no. of waffles required = 12
No. of cups of milk = [tex]1\frac{1}{2}[/tex]
No. of cups of flour = [tex]2\frac{1}{4}[/tex]
No. of cups of other ingredients = [tex]1\frac{1}{3}[/tex]
The total number of cups of ingredients needed for 12 waffles =
No. of cups of milk + no. of cups of flour + no. of cup of other ingredients
= [tex]( 1+ 2+ 1 ) ( \frac{1}{2} + \frac{1}{4} + \frac{1}{3} )[/tex]
= [tex](4) + ( \frac{6+3+4}{12} )\\\\= (4) +(\frac{13}{12} \\\\= \frac{48+13}{12} \\\\= \frac{61}{12}[/tex]
The total number of cups of ingredients needed for 12 waffles is [tex]\frac{61}{12}[/tex].
The total number of cups of ingredients needed for 36 waffles=
= The total number of cups of ingredients needed for 36 waffles cups of ingredients.
If the milk is reduced to 1 cup and the amount of 'other ingredients' (not including the flour) is increase or decrease in recipe.A recipe for 12 waffles calls for [tex]1\frac{1}{2}[/tex] cups of milk, [tex]2\frac{1}{4}[/tex] cups of flour, and [tex]1\frac{1}{3}[/tex]cups of other ingredients = total of [tex]5\frac{1}{12}[/tex] cups of ingredients
Current recipe
= 1 cup of 2 milk + cups of flour + 2 cups of other ingredients
= 1 + 2 + 2 + ()
= cups of ingredients
Therefore, total amount of ingredients for 12 waffles would increase from the original recipe. This is because when you subtract [tex]5\frac{1}{12}[/tex] from [tex]5\frac{1}{4}[/tex] you get a difference of [tex]\frac{1}{6}[/tex] cups.
[tex]5\frac{1}{4}[/tex] - [tex]5\frac{1}{12}[/tex] = [tex]\frac{1}{6}[/tex]
The original recipe has [tex]2\frac{1}{4}[/tex] cups of flour as its quantity for 12 waffles
Hence:
[tex]2\frac{1}{4}[/tex] cups of flour = 12 waffles
17 cups =
17 ×
= 204÷ [tex]2\frac{1}{4}[/tex]
= 204 ÷ [tex]\frac{9}{4}[/tex]
= 204 × [tex]\frac{4}{9}[/tex]
= 90.666666667 or 90 [tex]\frac{2}{3}[/tex] Waffles
If = 12 waffles = 1 recipe
90 waffles =
7.56 or recipes.
For more information about Ratio and proportion click the link given below.
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Which is true about the completely simplified difference of the polynomials a3b 9a2b2 − 4ab5 and a3b − 3a2b2 ab5?.
The simplified difference of the polynomials (a³b+9a²b²-4ab⁵) and (a³b-3a²b²+ab⁵) is (12a²b²-5ab⁵).
What are Like terms?Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
Let's simplify the two of the given polynomials, therefore, find the difference between the two given polynomials.
[tex]a^3b+9a^2b^2 - 4ab^5 - (a^3b - 3a^2b^2+ab^5)\\\\= a^3b+9a^2b^2 - 4ab^5 - a^3b + 3a^2b^2-ab^5\\\\\text{Bring Like terms together}\\\\=a^3b - a^3b+9a^2b^2+3a^2b^2 -4ab^5-ab^5\\\\= 12a^2b^2-5ab^5[/tex]
Hence, the simplified difference of the polynomials (a³b+9a²b²-4ab⁵) and (a³b-3a²b²+ab⁵) is (12a²b²-5ab⁵).
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When multiplying two variables, how is using the
Distributive Property similar to using a table?
Newton's third law states that if object A exerts a force on object B, object B must respond with a force of equal size and in the opposite direction. This law reflects nature's symmetry: forces always exist in pairs, and one body cannot exert a force on another without experiencing one.
The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.
read the given news article underline the relevant ideas informationbonce and underpine the irrelevantvinformation twice
Answer:
Where is the question
Step-by-step explanation:
Where is the question
Lucy needs to buy snacks for her soccer team. she only has $25 in her pocket.
if each juice box cost $1.50 and a bag of chips (ost $1.00. how many chips
and drinks can she purchase?
Add. Enter a number only as your answer in the space provided
Please I really need help
Answer:
0 is the answer okay
Step-by-step explanation:
0 is the answer okay
20% of 50 =
help ;)
thanks to whoever helpss
Answer: the answer to your question is
10
Step-by-step explanation:
Answer:
20% of 50 = 10
Step-by-step explanation:
1. Convert the problem to an equation using the percentage formula: P% * X = Y
P is 20%, X is 50, so the equation is 20% * 50 = Y
2. Convert 20% to a decimal by removing the percent sign and dividing by 100: 20/100 = 0.2
3. Substitute 0.2 for 20% in the equation: 20% * 50 = Y becomes 0.2 * 50 = Y
4. Do the math: 0.2 * 50 = 10
5. Final answer: 20% of 50 is 10
Create a word problem using the numbers -6 and 3.
Answer:
Aaron has 3 red cubes and 15 yellow cubes in his bag. If he subtracts six yellow cubes, how many cubes of each color does he have?
Answer:
Jake from state farm lost 3 dollars from buying McDonalds it cost him dollars 6 how much money does he still have to pay
Step-by-step explanation:
6 out of 30 is what percent
find the missing ratio and explain how you found it
Answer:
5:4
Step-by-step explanation
If your shoes to flip-flops are 10:8 then the starting ratio will be 10:8 but 10 and 8 are both divisible to 2 so you can simplify 10:8 to 5:4
What is the £ to € exchange rate?
Aline etlea, deux coiffeuses contactent le même. fournisseur . Aline commande 10 lots de champoing à 15,60 l,unite et paie la meme somme que lea qui a commande 2 tondeuses et 2 lots dechampoing. Combien coûte une tondeuse? c,est undm note aidez moi reponse
Answer:
on my screen it sayes its 50938
Step-by-step explanation:
*
4. Find the measure of each angle
Please help need answers ASAP
Answer:
55°, 125°
Step-by-step explanation:
angle EFG = 180°
angle EFH + angle GFH = angle EFG (Colinearity)
substitute the values,
6x - 5 + 12x + 5 = 180°
18x = 180°
(÷18)
x = 10
substitute values of x in both the requires angles,
angle EFH
= (6 × 10) -5
= 55°
angle GFH
= (12 × 10) + 5
=125°
to check,
55° + 125° = 180°
State if the three side lengths form an acute, obture, or right triangle 3 in 12 in and 13 in
Answer:
The triangle is obtuse.
Step-by-step explanation:
If a² + b² < c² , the triangle is obtuse.
If a² + b² = c² , the triangle is right triangle.
If a² + b² > c² , the triangle is acute.
~~~~~~~~~~~~~~~~
3, 12, 13
3² + 12² < 13²
9 + 144 < 169
153 < 169 ⇒ the triangle is obtuse.
In Psychology 101, the ratio of the number of girls to the number of boys is $3:1$. After one girl drops the class and three more boys sign up, the ratio of the number of girls to the number of boys becomes $5:2$. How many students are in the class after these changes?
Answer:
There are 68 students in the class after these changes.
Step-by-step explanation:
g = number of girls
b = number of boys
Because the ratio of girls to boys is 3:1, initally the equation was
g = 3b
Finally, we have
g-1 girls because one girl dropped the class
b+3 boys because three more boys signed up
Because the new ratio of girls to boys is 5:2, the new equation is
(g - 1)/(b + 3) = 5/2
Cross multiply.
2(g - 1) = 5(b + 3)
2g - 2 = 5b + 15
2g - 5b = 17
Then, substitute g (which is 3b because the first equation was g = 3b)
2(3b) - 5b = 17
b = 17
g = 3b = 3*17 = 51
g = 51
The final number of students in the class = 17 + 51 = 68
Answer: 68
1. Rey Mercado has a house valued at $250,000. His mortgage is
for $180,000. How much money can he borrow if the bank will
lend 80 percent of the equity in the home?
2. Your credit card was stolen. You reported the theft within
24 hours. Before the theft was reported, the thief charged
$2,450 at a jewelry store and $1,245 at an electronics store.
How much of the fraudulent charges will you have to pay?
3. Jacki Marshall owes a balance of $5,000 on one credit card that charges 19 percent interest. She can pay off the balance in two years with monthly payments of $252.04. She has another credit card with a balance of $7,500 that charges 20 percent interest.
She can pay off the balance in two years with monthly payments of $381.72. Jacki owns a home valued at $150,000. She can get a home equity loan for $12,500 at 8 percent interest. Jacki can repay the loan in two years with monthly payments of $565.34. How much money will Jacki save if she takes out a home equityloan to pay off the credit card balances?
Answer:
1. $56,000
2. $3,695
3. $1,644.48
Step-by-step explanation:
1. Equity = valuation - mortgage
= $250,000 - $180,000
= $70,000
80% = 80/100 = 0.8
Therefore, 80% of the equity = 0.8 × $70,000
= $56,000
2. Total charges = jewelry charge + electronics charge
= $2,450 + $1,245
= $3,695
3.
First credit card:
Total payment = two years × monthly payments
= 2 × 12 × $252.04
= $6,048.96
Interest = total payment - balance
= $6,048.96 - $5,000
= $1,048.96
Second credit card:
Total payment = two years × monthly payments
= 2 × 12 × $381.72
= $9,161.28
Interest = total payment - balance
= $9,161.28 - $7,500
= $1,661.28
Home equity loan:
Total payment = two years × monthly payments
= 2 × 12 × $565.24
= $13,565.76
Interest = total payment - balance
= $13,565.76 - $12,500
= $1,065.76
Money saved = (total of interest from credit cards) - home equity loan interest
= ($1,048.96 + $1,661.28) - $1,065.76
= $1,644.48
Write a word problem using rational numbers and using at least two of the operations (add, subtract, multiply, divide).
Alicia had - $11.00 in her checking account. She did a few chores and made $44.50. She decided to pay for her and a friend to go to the movies and each ticket costs $6.25. How much money does she have left in her account?
There are 30 students in Mrs.
Woodward’s class and 15 of the class has their own cell phone. Of this group of students, 12 of them
are allowed to use social media. How many of the students have a cell phone and can use social media?
There are two up there
Question in the photo :) (Please help with my other questions!)
Answer:
a
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]u_{n}[/tex] = u₁ + (n - 1)d
given u₂₀ = 100 and u₂₅ = 115 , then
u₁ + 19d = 100 → (1)
u₁ + 24d = 115 → (2)
subtract (1) from (2) term by term to eliminate u₁
0 + 5d = 15
5d = 15 ( divide both sides by 5 )
d = 3
substitute d = 3 into (1) and solve for u₁
u₁ + 19(3) = 100
u₁ + 57 = 100 ( subtract 57 from both sides )
u₁ = 43
Answer:
a) u₁ = 43, d = 3
Step-by-step explanation:
Given :-
u₂₀ = 100
u₂₅ = 115
To Find :-
u₁ and d
Solving :-
u₂₀ = u₁ + 19d = 100 -(1)
u₂₅ = u₁ + 24d = 115 -(2)
(2) - (1)
5d = 15
d = 3
u₁ + 19(3) = 100
u₁ + 57 = 100
u₁ = 43
Solution :-
a) u₁ = 43, d = 3
Which equation represents the function notation for the equation y = 5x + 4?
Answer:
f(x) = 5x + 4
Step-by-step explanation: