Answer:
SASStep-by-step explanation:
As per steps given the congruent pairs are:
AB and ACBD and CDAngle B and angle CSo two sides and included angle - it represents side-angle-side or SAS congruency theorem
simplify 4+3x=22
Step by step explanation
Answer:
x = 6
Step-by-step explanation:
Rearrange terms
4 + 3 = 2 2
3 + 4 = 2 2
Subtract 4 from both sides of the equation
3x+4=22
3 + 4 − 4 = 2 2 − 4
Simplify (Subtract the numbers )
3 = 1 8
Divide both sides of the equation by the same term
3 = 1 8
3 / 3 = 1 8 /3
Simplify (Cancel terms that are in both the numerator and denominator
Divide the numbers )
= 6
Find how many solutions there are to the given equation that satisfy the given condition.
y1 +y2+y3+y4=27, each yi is a nonnegative integer.
Answer:
17550 solutions
Step-by-step explanation:
Given that:
y1 +y2+y3+y4=27
where;
(yi ≥ 0 and yi [tex]\epsilon[/tex] [tex]{\displaystyle \mathbb {Z} }[/tex] )
The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.
i.e
[tex]\bigg(^{27}_{4} \bigg)[/tex]
∴
The number of nonnegative integer solution is [tex]\bigg(^{27}_{4} \bigg)[/tex]
[tex]= \dfrac{27!}{4!(27-4)!}[/tex]
[tex]= \dfrac{27!}{4!(23)!}[/tex]
[tex]= \dfrac{27\times 26\times 25\times 24 \times 23 !}{4\times 3\times 2\times 1(23)!}[/tex]
[tex]= \dfrac{27\times 26\times 25\times 24 }{4\times 3\times 2\times 1}[/tex]
[tex]= \dfrac{421200}{24}[/tex]
= 17550 solutions
what is the value of the expression below (81^2)^1/8
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{81^2=81\times81\rightarrow\bf{6,561}}[/tex]
[tex]\mathsf{(6,561)^{\dfrac{1}{8}}= \bf{3}}[/tex]
[tex]\boxed{\boxed{\mathsf{Therefore, your\ answer\ is: \boxed{\huge\textsf{\bf{C. 3}}}}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Answer:
c
Step-by-step explanation:
because I said so " But rearle you cant start a sentence with because"
ok then, The answer is C because I said so
help neeeddded........
Answer:
D 7a - 11b
Step-by-step explanation:
9a- b -2a - 10b
7a - b -10b
7a - 11b
Answer:
I believe the correct answer is D.
Step-by-step explanation:
Given the expression, 3(y + 1) + 2y, which of the following expressions is equivalent?
A
3y + 3
B
5y + 1
C
5y + 3
D
9y + 3
Answer:
C
5y + 3
Step-by-step explanation:
Does the table below represent a proportional relationship?
х
2
3
4
5
y
6
7
8
9
O A. Yes, because all the ratios of y to x are equal to 2.
OB. No, because all the numbers are positive.
O C. Yes, because all the ratios of yto x are equal to 3.
OD. No, because all the ratios of yto x are not equal.
Answer:
The answer is C. Hope it helps :)
Answer:
I think C Will help...
solve the following inequality showing all steps -3n+7<4
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{-3n + 7 < 4}\\\\\textsf{SUBTRACT by 7 on your sides}\\\mathsf{-3n+7-7<4-7}\\\mathsf{Cancel\ out: 7-7\ because\ that\ gives\ you\ 0}\\\mathsf{Keep: 4-7\ because\ it\ helps\ us\ solve\ for\ our\ n \ value}\\\bf{{\mathsf{4-7= -3}}}\\\\\mathsf{New\ question: -3n<-3}\\\\\mathsf{DIVIDE\ both\ sides\ by\ -3}\\\mathsf{\dfrac{-3n}{-3}=\dfrac{-3}{-3}}\\\mathsf{Cancel\ out: \dfrac{-3}{-3} \ because\ gives\ us\ 1}\\\mathsf{Keep: \dfrac{-3}{-3}\ because\ it\ gives\ us\ our\ n\ value}[/tex]
[tex]\mathsf{New\ equation: n < \dfrac{-3}{-3}}\\\mathsf{\dfrac{-3}{-3} = -3\div-3 \rightarrow 1}\\\\\huge\textsf{Answer}\huge\downarrow\\\\\boxed{\boxed{\mathsf{Answer: n < 1}}}\checkmark\\\\\\\\\textsf{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Given the function f(x) = -x2– 7x + 18, determine the average rate of change
of the function over the interval – 10 < x < -1.
Answer: 4
Step-by-step explanation:
I don't understand math please help me
Answer: I cant really read the questions.
Step-by-step explanation:
please help! thanks :)
A file that is 247 MB is being downloaded.
if the download is 17.5% completed, how many megabytes have been downloaded? Round your answer to the nearest 10th.
Answer:
43.2 MB
Step-by-step explanation:
The amount that has been downloaded is 17.5% of 247 MB. This is equal to 17.5% [tex]\times[/tex] 247 (in general, "of" always indicates that you should multiply). 17.5% is equal to [tex]17.5/100[/tex], or 0.175.
Therefore, the amount that has been downloaded is 0.175 * 247, which is 43.225 MB. Rounded to the nearest tenth, this is 43.2 MB.
A fast food restaurant sells milkshake in a container composed of a cylinder with a radius of 2 inches and a height of 3 inches surmounted by a hemispherical top of a radius 2 inches.
a.) Compute the volume of milkshake that it contains
b.) Compute the surface area of the container
Answer:
Below in bold.
Step-by-step explanation:
(a) Volume = volume of the cylinder + volume of hemisphere
= pi r^2 h + 1/2 * 4/3 pi r^3
= pi 2^2 3 + 2/3 pi 2^3
= 12pi + 16pi/3
= 52pi/3
= 52pi/3 in^3
= 54.45 in^3 to nearest hundredth.
(b) Surface area = area of base + area of curved part + area of the hemisphere
= pi 2^2 + 3 * 2pi 2 + 2 pi 2^2
= 4pi + 8 pi + 12pi
= 24pi in^2
= 75.40 to nearest hundredth.
A cookie jar has 3 dozen chocolate chip, 1 dozen peanut butter, and 2 dozen oatmeal raisin cookies. If Megan chooses a cookie, does not
replace it, then chooses another, what is the probability that she chooses a peanut butter then a chocolate chip cookie?
A) 6/71 to attempt to make new friends
B) 1/12 to make people jealous
C) 2/3 to win a trophy
D) 1/10 to get attention
E) 11/72 to get others to join
Answer:
A) 6/71 to attempt to make new friends
Step-by-step explanation:
The probability that she chooses a peanut butter then a chocolate chip cookie is about 6/71 in an attempt to make some new friends!
I hope this helps! Good luck with your assignment/test! <3
- 7v7
Write the equation of the circle graphed below
Answer:
there is no circle
Step-by-step explanation:
you can add a photo with the lil link looking thing when you first ask the question
Answer:
srry no circle. I'd be happy to help if you update it tho.
Step-by-step explanation:
answer the following correctly
Answer:
[tex] y = -\frac{10}{3}x - 23 [/tex]
Step-by-step explanation:
Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]
Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.
Thus:
-3 = (-10/3)(-6) + b
-3 = 20 + b
Subtract 20 from each side
-23 = b
b = -23
substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.
The equation of the line would be:
✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]
[tex] y = -\frac{10}{3}x - 23 [/tex]
draw a flowchart to calculate the average from 25 exam scores
Answer:
?
Step-by-step explanation:
Pls help I just need the answer
18% of what number is 22?
Answer:122.222222
Step-by-step explanation: hope this helps
can i have brainliest?
What is the equivalent ratio of 3/10
Answer:
6/20
Step-by-step explanation:
multiply 3 x 2 then 10 x 2 and you will have an equivalent ratio. Theres alot more of them but heres a simple one.
Answer:
6/20
12/40
24/80
Step-by-step explanation:
There are 125 people on a mountain trail. If 84% of the people on the trail are on a hiking tour, how many people are on the tour
Answer:
Total people on the tour will be: 105 people
Step-by-step explanation:
Total people on a mountain trail = 125Given that 84% of the people on the trail are on a hiking tour.
We need to determine how many people are on the tour.
All we need is to multiply 84% or 0.84 by 125.i.e.
People are on the tour = 84% × 125
= 84/100 × 125
= 0.84 × 125
= 105 people
Therefore, total people on the tour will be: 105 people
Keisha runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes?
Answer:(24/60)*7=2.8 miles
Step-by-step explanation:
24/60x7
What is the value of x?
- (12 – 8x) = 5x +15 – 7x
Enter your answer in the box.
X=
Answer:
Step-by-step explanation:
-(12-8x)=5x+15-7x
-12+8x=5x+15-7x
8x+7x-5x=15+12
10x=27
x=27/10
Answer:
x = 27/10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-(12 - 8x) = 5x + 15 - 7x
Step 2: Solve for x
Distribute negative: -12 + 8x = 5x + 15 - 7xCombine like terms: -12 + 8x = -2x + 15Add 2x on both sides: -12 + 10x = 15Isolate x term: 10x = 27Isolate x: x = 27/10A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11ft^3
Answers above on the picture^ thank you:)
Answer:
#3
Step-by-step explanation:
Union City Bakery uses a chocolate chip muffin recipe that yields 1/2 cup of milk for every batch of 12 chocolate chip muffins. Based on the recipe:
How much milk is needed to make each muffin?
How much milk in needed to make 24 chocolate chip muffins?
WHENS MY BDAY I SAID THIS
Answer:
reeee whenever it was happy bday ily by :)
Lisa received 34 text messages on Monday and 43 text messages on Tuesday. She received 98 text messages on Wednesday. How many more text messages did Lisa receive on Wednesday than on Monday and Tuesday combined?
Answer:
she received 21 more
Step-by-step explanation:
43 + 34 =77
98-77= 21
Hope this helps!!!
1. Nancy is walking around a circular track with a radius of 45 feet. If she walks the equivalent of 210 degrees, find the total distance she has walked around the track to the nearest foot.
2. A windshield wiper blade is 18 inches long. Calculate the area covered by the blade as it rotates through an angle of 122 degrees. Round your answer ti the nearest square inch.
3. A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 75 feet, what is the area that is watered as the sprinkler rotates through an angle of 80 degrees? Round your answer to the nearest square foot.
Answer:
see explanation
Step-by-step explanation:
(1)
The distance walked ( arc length ) is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{210}{360}[/tex]
= 2π × 45 × [tex]\frac{21}{36}[/tex]
= 90π × [tex]\frac{7}{12}[/tex]
≈ 165 ft ( to the nearest foot )
(2)
The area (A) covered is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{122}{360}[/tex]
= π × 18² × [tex]\frac{61}{180}[/tex]
= 324π × [tex]\frac{61}{180}[/tex]
≈ 345 in² ( to the nearest square inch )
(3)
The area (A) is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{80}{360}[/tex] ( r is the distance shot by sprinkler )
= π × 75² × [tex]\frac{8}{36}[/tex]
= 5625π × [tex]\frac{2}{9}[/tex]
≈ 3927 ft² ( to the nearest square foot )
Answer:
9514 1404 393
Answer:
top down: 1, 5, 6, 4, 8, 2, 3, 7
Step-by-step explanation:
It appears the expected order may be ...
__
Write the formula for the arc length of a circle with central angle, θ, in degrees.
\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi rArc Length=
360
∘
θ
⋅2πr
Replace 360° with 2π radians.
\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}
360
∘
θ
=
2π
θ
Replace the angle ratio in degrees with the angle ratio in radians.
\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi rArc Length=
2π
θ
⋅2πr
Simplify by cancelling
\textit{Arc Length}=\theta rArc Length=θr
PLEASEE HELP ITS DUE TODAY
Answer:
43.44 for the first one
16 cats from the second one
496 for the third one
Step-by-step explanation:
Answer:
a. 43.44
b. 16
c. 496
Step-by-step explanation:
a. (14.48) x 3= 43.44
b. 25% of 64= 16
c. 31 x 16= 496
CAN SOMEONE HELP ME ITS URGENT I NEED THIS ASAP
Answer:
1200
Step-by-step explanation:
1680/1050 = 1920/x
1680x = 2,016,000
x=1200
There are 1200 vertical pixels.
Step-by-step explanation:This is a ratio problem, which uses ratios to relate different items in the question. In a ratio problem, it's important to remember to
1) Write the items in the ratio as a fraction.
2) Make sure that you have the same items in the numerator and denominator.
→ Step 1:The first step is to assign variables. Let x = vertical resolution of the 23" monitor.
Write the items in the ratio as a fraction.
[tex]\frac{horizontal}{vertical} = \frac{1680}{1050} = \frac{1920}{x}[/tex]
→ Step 2:Solve the equation.
Cross multiply:
[tex]1680*x = 1920 * 1050[/tex]
[tex]1680x=2016000[/tex]
Isolate variable x:
[tex]x=\frac{2016000}{1680}[/tex]
[tex]x=1200[/tex]
Question 1
1 pts
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
A. an
4n + 29
B. an
25 +(-4)(n-1)
C. an = -25 +(-4)(n-1)
D. an
= 4 + 25
Edit
View
Insert
Format
Tools
Table
Answer:
The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]
Step-by-step explanation:
Given sequence is:
25, 21, 17, 13,...
Here
a1 = 25
a2 = 21
a3 = 17
First of all we have to determine the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence.
So,
[tex]d = a_2 - a_1 = 21-25 = -4\\d =a_3-a_2 = 17-21 = -4[/tex]
The explicit formula is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
Putting the value of a1 and d
[tex]a_n = 25 + (n-1)(-4)\\a_n = 25-4n+4\\a_n = 29-4n[/tex]
Hence,
The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]
Assume that 12 jurors are randomly selected from a population in which 73% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities.
0 0+
1 0+
2 0.0001
3 0.0007
4 0.004
5 0.0172
6 0.0542
7 0.1255
8 0.2122
9 0.2549
10 0.2068
11 0.1016
12 0.0229
Find the probability of exactly 5 Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x=5)=
Find the probability of 5 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x≤5)=
Does 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?
no
yes
Answer:
I'm not sure if i'm correct but i'm guessing no
Step-by-step explanation: