7. Given: 21 and 22 are supplementary.
Prove: l / m
What is the missing plece of information in the paragraph proof?
Proof: It is given that 21 and 22 are supplementary. 21 and 23 are also supplementary, so
Since 22 and 23. are corresponding angles, l I m.
3
m
The missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)
What is the Corresponding Angles Theorem?The corresponding angles theorem states that the corresponding angles formed congruent to each other when two parallel lines are cut by a transversal.Conversely, when a transversal cuts two straight lines, if the corresponding angles formed are congruent, then the two lines that are cut by the transversal are parallel to each other.
The corresponding angles in the image given are: ∠2 and ∠3.
Since ∠2 ≅ ∠3, therefore lines l and m will be parallel.
In conclusion, the missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)
Learn more about corresponding angles on:
https://brainly.com/question/2009183
plass help brainlist if possible compare 9/10 and 7/5
Answer:
9/10 < 7/5
Step-by-step explanation:
7/5 = 14/10
9/10 < 14/10
Answer:
7/5 is greater than 9/10
Step-by-step explanation:
7/5 = 14/10
How i can asnwer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
B
Step-by-step explanation:
Each number you're adding 12.
24 + 12 = 36, 36 + 12 = 48,. etc..
B
A shows factors of 12 instead of multiples, and C just doesn’t show numbers of relation to 12
A recipe that makes 24 cupcakes calls for 5 1/2 cups of flour. How much flour is needed to make 30 cupcakes?
A. 5 7/8 cups
B. 6 1/2 cups
C. 5 3/4 cups
D. 6 7/8 cups
Answer: D hope this helps
A shopkeeper bought 2 mobile set for 5000 each . If he sold a mobile with 20% profit and 20% loss . How much percent profit or loss did he have?
Answer: NO GAIN for the shopkeeper
Step-by-step explanation:
20/100 *5000=1000
Can I get some help? I’ve been struggling on this for a while now. Plz and thank you
Answer:
65.4 degrees
Step-by-step explanation:
cos(x) = 5/12
x = arccos(5/12), which is approximately 65.3756816 (on calculator). to the nearest tenth that is 65.4
The set of ordered pairs shown below defines a relation. (MAFS.912.F-IF.2.4){(0, 0), (1, 5), (2, 8), (3, 9), (4, 8), (5, 5), (6, 0)}What is the value of the greatest element in the range of this relation?
Using the range concept, it is found that the greatest element in the range of this relation is 9.
The range of a data-set is the set that contains all possible outputs.The data-set has the format (x,y), in which the values of y are the outputs.Hence, the range is: {0, 5, 8, 9}.
From the given range, the greatest element is 9.For more on range of data-sets, you can check https://brainly.com/question/10891721
Your bill from Acme Supply Company is marked "3/15, net 30." The amount of the bill is $289.95. If you pay the bill within 15 days, how much should you tender?
Answer:
$8,698.50
Step-by-step explanation:
289.95x30= $8,695.50
Solve for x
log2(5x-4)=4
Please show steps
Answer:
x=1.2
Step-by-step explanation:
2(5x-4)=4
distribute 2 to 5x and -4
10x-8=4
add 8 to negative 8 and 4
10x=12
now divide both sides by 10
10x/10= 12/10
x=1.2
The value of x for the logarithmic expression will be x=1.2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is log2(5x-4)=4. The value of x will be calculated as,
2(5x-4)=4
Distribute 2 to 5x and -4,
10x-8=4
Add 8 to negative 8 and 4,
10x=12
Now divide both sides by 10,
10x/10= 12/10
x=1.2
Therefore, the value of x for the logarithmic expression will be x=1.2.
To know more about an expression follow
https://brainly.com/question/28041634
#SPJ2
help with this problem pls
Answer:6_1/4
Step-by-step explanation:
They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.
This means that you just have to divide 18_3/4 bu 3, which is 6_1/4
need assistance with alegbra 2
Answer:
C.
Step-by-step explanation:
Because in the parentheses, it says -2, you would graph the parabola, 2 to the right of the vertex. Then place the parabola up 1, to get the vertex as (2,1).
f(x)=(x-2)^2+1
What is mathmatics ?
Answer:
The abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering ( applied mathematics )..
Ex :- Plus , minus
I HOPE IT IS HELPFULMathematics is a very important field of study in human society that can be described as the study of:
Numbers Quantities Spatial elementsMathematics is a science and one that is constantly evolving to allow us better understand our surroundings.
There are several ways to study the subjects described above such as by applying them to things such as engineering and other sciences, or simply studying them on their own.
In conclusion, math is a science of numbers.
Find out more on mathematics at https://brainly.com/question/14473572.
What is the sum of 15/6
Answer: b because i did the eqaution on paper
Step-by-step explanation:
What is the product in simplest form? State any restrictions on the variable. Is it 1,2,3 or 4
Answer: I think its C
Step-by-step explanation:
For the function y = 4x – 2, what is the value of the function when x is equal to -3?
Giving brainliest to the right answer!
Answer:
y = 4 (-3) - 2
y = -12 - 2
y = -14
Step-by-step explanation:
Diana is baking bread the original recipe calls for 1 1/2 teaspoons of yeast
Your Question is incomplete..
Diana is baking bread, and the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will Diana use?
Answer:
3 3/4
Step-by-step explanation:
To figure out how many cups of flour Diana will use, you can set up a proportion.
1 1/2 = 3/2
2 1/2 = 5/2
2 1/4 = 9/4
Floor required for 3/2 teaspoons of yeast = 5/2
Floor required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4
= 5/2 * 2/3 * 9/4
= 15/4 = 3 3/4
Answer:
(The question is not complete so I will complete it)
Diana is baking bread, the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will diana use ?
A) 1 7/8
B) 3 1/2
C) 3 1/2
D) 3 3/4
E) 4
Step-by-step explanation:
The correct answer is D
To figure out how many cups of pour diana will use, you can set up a proportion
1 1/2 = 3/2
2 1/2 = 5/2
2 1/4 = 9/4
Flour required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4
= 5/2 * 2/3 * 9/4
= 15/4 = 3 3/4
Answer: D) 3 3/4
help with this graph please and thanks
Answer:
Okay, to graph this equation we need to graph the y-intercept first. This time its 7 for you, meaning 0,7. So graph (0,7) as your first point. Then we have your slope, which is -2/3`. So, from (0,7) we will do rise/run. So, our next point will be (3,5). We went down 2 and ran 3. Since its negative, we went DOWN.
-
if you want a third point, just ask!
-
Hope this helps.
-
<3
Suppose that a family wants to start a college fund for their child. If they can get a rate of 7. 5%, compounded monthly, and want the fund to have a value of $75,000 after 18 years, how much should they deposit monthly? Assume an ordinary annuity and round to the nearest cent. A. $164. 98 b. $165. 30 c. $166. 21 d. $167. 52.
The amount that should deposit monthly is $164.98
The formula for calculating the compound amount is expressed as:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P is the amount investedA is the amount after 18 years = $75000r is the rate = 7.5% = 0.075t is the time in years = 18 yearsn is the compounding time = 12 (monthly)Substitute the given values into the formula to have:
[tex]75000=P(1+\frac{0.075}{12} )^{12(18)}\\75000 = P(1.00625)^{216}\\75000 =P(3.84125)\\P = \frac{75000}{3.84125}\\P= \$19,524.89[/tex]
Hence the amount of money they started with is $19,524.89.
Amount to deposit monthly = 19,524.89/120
Amount to deposit monthly = $164.98
Hence the amount that should deposit monthly is $164.98
Learn more on compound interest here: https://brainly.com/question/24274034
kate has 2.95 in quarter and nickels she has 23 coins how many quarters and nickles does she have
Answer:
9 quarters and 14 nickles
The number of quarters is 9.
The number of nickels is 14.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Number of quarters = x
Number of nickels = y
Now,
1 quarter = $0.25
1 nickel = $0.05
Two equations are:
x + y = 23 ____(1)
x = 23 - y _____(2)
0.25x + 0.05y = 2.95 _______(3)
Putting (2) in (3) we get,
0.25(23 - y) + 0.05y = 2.95
5.75 - 0.25y + 0.05y = 2.95
5.75 - 2.95 = 0.20y
2.8 = 0.20y
y = 2.8/0.20
y = 14
Now,
x + y = 23
x = 23 - 14
x = 9
Thus,
There are 9 quarters and 14 nickels.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ5
Which ordered pair is a solution to the inequality 7x-3y>10
Answer:
first one
Step-by-step explanation:
Answer:
(1,-1)
Step-by-step explanation:
angle A and angle B are complementary angles. If m angle A = (4x – 28)° And angle B = (4x - 8)°, then find the measure of A.
Complementary angles have a submission of 90 degrees thus :
[tex]angle \: \: A + angle \: \: B = 90°[/tex]
[tex](4x - 28)° + (4x - 8)° = 90°[/tex]
[tex]4x + 4x - 28 - 8 = 90[/tex]
Collect like terms
[tex]8x - 36 = 90[/tex]
Add both sides 36
[tex]8x - 36 + 36 = 90 + 36[/tex]
[tex]8x = 126[/tex]
Divide both sides by 8
[tex] \frac{8x}{8} = \frac{126}{8} \\ [/tex]
[tex]x = 15.75[/tex]
_____________________________________________
Now let's find the measure of A :
[tex]A = 4x - 28[/tex]
[tex]A = 4 \times (15.75) - 28[/tex]
[tex]A = 63 - 28[/tex]
[tex]A = 35°[/tex]
And we're done...
Don't have a good day , Have a great day ♡
I need help please can someone help me
i do not know but its something around number
Can someone please take the time out of their day and help me with this
Rihanna used this number line to solve this problem. Which problem could she have been solving
Answer:
what kind kind of prob
Step-by-step explanation:
dp you have a Story
Answer:
there is no picture to explain your qustion and im confused
Step-by-step explanation:
A donut shop made 50 donuts. They put frosting on 2 of the donuts. What is the ratio of the
number of donuts with frosting to the number of donuts without frosting?
50:48
2:48
50:2
2:4
Submit
Answer:
50-2
Step-by-step explanation:
there is 50 donuts and 2 that are frosted :)
Step-by-step explanation:
2 have frosting, therefore 50-2 = 48 don't.
so, the ratio is for frosting vs. non-frosting
2 : 48 (which would be also 1 : 24).
Find Y
LOOK AT THE PICTURE
Answer:
D
Step-by-step explanation:
[tex]y = 3\sqrt{2}[/tex]
Just use pythagorean theorem, very simple.
c = [tex]\sqrt{a^{2}+b^{2} }[/tex]
In your case c is y
your answer calculated will come out to 4.24 but put in terms your teacher wants will be
[tex]y = 3\sqrt{2}[/tex]
NEED ANSWER QUICKLY PLEASE
What are the solutions to the equation (x-1)(x+2)=-2?
Method used:-
Completing the square method.
Steps :-
[tex]( x - 1 ) ( x + 2 ) = - 2\\x^{2}+x-2=-2 \\x^{2}+x=-2+2 \\x^{2}+x=0[/tex]
Now, make the left hand side of the equation by adding the square of ½ to both sides of the equation.
[tex]x^{2}+x+\left(\frac{1}{2}\right)^{2}=\left(\frac{1}{2}\right)^{2} \\x^{2}+x+\frac{1}{4}=\frac{1}{4} \\\left(x+\frac{1}{2}\right)^{2}=\frac{1}{4} \\\sqrt{\left(x+\frac{1}{2}\right)^{2}}=\sqrt{\frac{1}{4}} \\[/tex]
Simplify the equation. You'll get a +ve & -ve value.
[tex]x+\frac{1}{2}=\frac{1}{2} \\x+\frac{1}{2}=-\frac{1}{2}[/tex]
Simplify it further.
[tex]\boxed{\sf\:x=0}\\ \boxed{\sf\:x=-1 }[/tex]
The solutions are :-
x = 0 & x = -1
______
Hope it helps ⚜
I am so confused on what to do with fractions.
Using the power rule for differentiation, the first derivative of
[tex]f(x) = -x^{\frac12}[/tex]
is
[tex]f'(x) = -\dfrac12 \cdot x^{\frac12-1} = -\dfrac12 x^{-\frac12}[/tex]
and the second derivative is
[tex]f''(x) = -\dfrac12 \cdot \left(-\dfrac12 \cdot x^{-\frac12 - 1}\right) = \dfrac14 x^{-\frac32}[/tex]
which makes E the correct choice.
Find (f/g)(5) for the functions
f(x) and g(x) given below.
f(x) = x2 +1 and g(x) = x - 4
=
=
(f/g)(5) = [?]
=
Answer:
11
Step-by-step explanation:
(f/g)(5)=
f(5)=(5)2+1÷g(5)=5-4
10+1/1
11/1
(f/g)=11
The required simplified value of the given function as (f/g)(5) is 26.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
f(x) = x² +1
f(5) = 5² + 1
f(5) = 26
g(x) = x - 4
g(5) = 5 - 4 = 1
f/g(5) = f(5) / g(5)
= 26 / 1 = 26
Thus, the required simplified value of the given expression (f/g)(5) is 26.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2