How many solutions does each polynomial have?
Answer:
Every polynomial equation P(x) = 0 of any degree ≥ 1 with complex number coefficients has at least one complex number solution.
Step-by-step explanation:
Cai tried to prove that \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J. Statement Reason 1 FG=HI=6FG=HI=6F, G, equals, H, I, equals, 6 Given 2 FH=HJ=4FH=HJ=4F, H, equals, H, J, equals, 4 Given 3 \overline{FG} \parallel \overline{HI} FG ∥ HI start overline, F, G, end overline, \parallel, start overline, H, I, end overline Given 4 \angle HFG\cong\angle JHI∠HFG≅∠JHIangle, H, F, G, \cong, angle, J, H, I When a transversal crosses parallel lines, alternate interior angles are congruent. 5 \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J Side-angle-side congruence What is the first error Cai made in his proof? Choose 1 answer: Choose 1 answer: (Choice A) A Cai used an invalid reason to justify the congruence of a pair of sides or angles. (Choice B) B Cai only established some of the necessary conditions for a congruence criterion. (Choice C) C Cai established all necessary conditions, but then used an inappropriate congruence criterion. (Choice D) D Cai used a criterion that does not guarantee congruence
<HFG ≅ <JHI because they are corresponding angles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
What are Corresponding Angles?When two parallel lines are crossed by a transversal, the angles that are formed in matching corners along the transversal are regarded as corresponding angles which are congruent to each other.
In the proof, HFG and JHI are corresponding angles that are forrmed. Therefore, they are equal based on the fact that corresponding angles are congruent.
Thus, Cai's first error in the proof was made in his 4th statement. <HFG ≅ <JHI because they are corresponding anglles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
Learn more about corresponding angles on:
https://brainly.com/question/2009183
Answer:Answer is A
Step-by-step explanation:
just did it on khan academy
please help convert the time
Answer:
215 minutes
Step-by-step explanation:
1 hour = 60 min
3x60=180
180+35=215
Answer:
The answer is 215 minutes
Step-by-step explanation:
1 hour is 60mintues
you have 3 hours so you would do
60+60+60=180 or 60*3=180
then take the 35 minutes you have and add those together.
180+35=215 total minutes
Hope this helps mark brainliest please! :)
For the below expressions, write an equivalent expression that
uses only addition.
1a.) 20 - 9 + 8-7
1b.) 4x -7y -52 + 6
1c.) -3% -8y - 4 - 8/72
Answer:
So this is pretty much endless but here are a few examples:
3+3+3+3
4x+(-7y) + (-46)
-3% + (-8y) + (-4) + (-0.1111)
Step-by-step explanation:
Hope this helps have a great rest of your day
Graph the equation y=-X – 2 using the intercepts.
Answer:
y intercept = (0,-2)
x intercept = (-2,0)
Step-by-step explanation:
For y intercept, plug 0 for x
y = (0) - 2
y = -2
y intercept = -2
For x intercept, plug 0 for y
(0) = -x - 2
Move -2 to other side
-x = 2
Since x is negitave, make 2 negitave
x = -2
x intercept = -2
two terms of an arithmetic sequence are a10=16 and a35=66 find the sum of the first 75 terms
The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.
How to find the sum of terms using Arithmetic sequence formulaaₙ = a + (n - 1)d
where
a = first termd = common differencen = number of termsTherefore, let's find a and d
a₁₀ = a + (10 - 1)d
a₃₅ = a + (35 - 1)d
Hence,
16 = a + 9d
66 = a + 34d
25d = 50
d = 50 / 25
d = 2
16 - 9(2) = a
a = 16 - 18
a = -2
Therefore, let's find the sum of 75 terms of the arithmetic sequence
Sₙ = n / 2 (2a + (n - 1)d)
S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)
S₇₅ = 37.5 (-4 + 148)
S₇₅ = 37.5(144)
S₇₅ = 5400
learn more on arithmetic sequence here: https://brainly.com/question/1687271
4. You wake up in the morning and go to the cupboard to look for breakfast. You have a choice of
Pop-Tarts, muffins, granola bars, or cereal. To drink, you have a choice of whole mild, 2% milk,
skim milk, orange juice, apple juice and water. You mother insists that you take a multi-vitamin
with your breakfast. You can choose from Flintstones vitamins, One-a-Day vitamins, Chock's
Vitamins. How many different breakfasts made up of an entrée, drink, and vitamin could you
make?
Answer:
72 breakfasts
Step-by-step explanation:
number of entrees: 4
number of drinks: 6
number of vitamins: 3
four times six times three =
72
Combine like terms to create an equivalent expression87 m+ 109 −2m− 53
What should be completed first when simplifying 2(x − 3) + 6(4x + 1)?
Combine like terms.
Subtract x − 3.
Distribute the 2 to the x − 3 and the 6 to the 4x + 1.
None of these choices are correct.
Answer:
Distribute the 2 to the z-3 and the 6 to the 4x+1
Step-by-step explanation:
I'm not sure why it says none of the choices are correct. According to the distributive property, which is followed in any similar algebraic equation. You distribute values first and then combine like terms and go on from there. Hope this helps.
Answer this question for points
Answer:
102 or the 12th number considering 38 is the 4th
Amir is a collector. He currently has 397 rare stamps. Amir wants to double his collection. How many stamps will be in Amir's collection?
stamps
Answer:
794 stamps in his collection
Step-by-step explanation:
If Amir started out with 397 stamps and doubles his collection, he would have 794.
Take the original amount and multiply it by 2
397(2) =794 stamps
Answer:794
Step-by-step explanation:
397x2=794
The baker needs 5/8 cup of raisins to make 1 batch of cookies. How many cups of raisins does he need to make 7 batches of cookies?
Answer:
5
Step-by-step explanation:
5/8 times 7 is 35/8. Round that to the nearest integer up and you get 5.
What is the value of x? The figure is not drawn to scale. Show work
1. Find the Area of the Sector:
2. Find the length of the missing side:
1. Area of sector is 14.14 sq.m
2. Length of the missing side is 10 cm
Step-by-step explanation:1.)Using formula:
Area of sector = θ/360° × π r²Where,
θ = 45° Radius (r) = 6mSubstituting the required values:
→ Area = 45°/360° × 22/7 × (6)²
→ Area = 0.125 × 22 × 36/7
→ Area = 2.75 × 36/7
→ Area = 99/7
→ Area = 14.14 sq.m
2.)In given right angled traingle:
Perpendicular = 6 cmBase = 8 cmHypotenuse = ?Using Pythagoras theorem,
(H)² = (B)² + (P)²where,
H is hypotenuseB is Base P is perpendicularSubstituting the required values:
→ (Hypotenuse)² = (8)² + (6)²
→ (Hypotenuse)² = 64 + 36
→ (Hypotenuse)² = 100
→ Hypotenuse = √100
→ Hypotenuse = 10 cm
Hence,
Hypotenuse of Traingle is 10 cmwhat is the value of x
Hey there!
Assuming #1 ….
x + 7x + x = 180°
REWORD
1x + 7x + 1x = 180°
COMBINE the LIKE TERMS
(1x + 7x + 1x) = 180°
8x + 1x = 180°
9x = 180°
DIVIDE 9 to BOTH SIDES
9x/9 = 180/9
CANCEL out: 9/9 because it equal 1
KEEP: 180/9 because it give you the x-value
NEW EQUATION: x = 180/9
SIMPLIFY IT!
x = 20
||||~~||||~~||||~~||||~~~||||~~||||~~||||~~||||~~~||||
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The sum of all the angles made at a point on a line where n lines meet, then the sum of (n+1) angles is 180°, as here, 2 lines meet at the center of the semicircle and so, 3 angles are here.So, by using this property we will be having the equation ;
[tex]{:\implies \quad \sf x^{\circ}+7x^{\circ}+x^{\circ}=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf 9x^{\circ}=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{180^{\circ}}{9}=\bf \boxed{20^{\circ}}}[/tex]
This is the required answer
What is the center of the data in the dot plot? Number of Science Homework Assignments Each Week A dot plot going from 0 to 5. 0 has 3 dots, 1 has 2 dots, 2 has 5 dots, 3 has 4 dots, 4 has 1 dot, and 5 has 6 dots. 2 2. 5 3 2005.
The center of the data in the dot plot comes to be 3.
0 has 3 dots
1 has 2 dots
2 has 5 dots
3 has 4 dots
4 has 1 dot
5 has 6 dots.
Let us arrange these data in ascending order
0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,5,5,5,5,5,5
Number of observations = 21
What is the median?The Median is the middle number when observations are arranged in either ascending or descending order. Median is more informative than average.
So, the median will be the middle data = 11th data
11th data = 3 so median =3
Hence, the center of the data in the dot plot comes to be 3.
To get more about the median visit:
https://brainly.com/question/14532771
Find the value of x.
122°
63
Noah says, "If I try to write ten to the zero power expanded, it should have zero factors that are 10, so it must be equal to 0." Do you agree? Why or why not?
Answer:
No, I do not agree. This is because 10⁰ is equivalent to 1.
Step-by-step explanation:
any number to the power of 0 is equal to 1
please help :(
I'll give brainliest!
Answer:
58km
Step-by-step explanation:
perimeter of rectangle= 2x(l+b)
2x(28+1)
2x29=58
7
The number of chocolates, C. needed for a party is worked out using
the formula C = 6n, where n is the number of people attending,
How many chocolates are needed if there are:
b) 12 people?
a) 8 people?
C) 40 people?
d) 50 people?
Answer: (b) 72 (A) 48 (c) 240 (D) 300
Step-by-step explanation:I just multiplied
Answer:
6*12=72
6*8=48
6*40=240
6*50=200
Step-by-step explanation:
just substitute the given number for n and mulitply
Help
question on the image.
Answer:
no
Step-by-step explanation:
We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:
hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)
= 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35
= 17 22/35 . . . . cm
We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.
17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm
The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so the hole is smaller than the pot.
The pot will not fit into the plant pot holder.
_____
You can use your calculator to find the free space around the pot by computing ...
20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm
Negative space means the pot is larger than the hole.
Need help for points
If 6 workers take 700 hours to finish a project, how long will it take 12 workers to complete the same project?
Answer:
1,400
Step-by-step explanation:
700 divided by 6 equals 116.66 and 116.66 times 12 is 1,399.92. But you have to round the decimal to make it accurate which you'll get 1,400.
Hope this helps.
Write the expression as a product.
25-(a + 7)^2
[tex]25 - ({a + 7})^{2} = [/tex]
[tex](5 + (a + 7))(5 - (a + 7)) = [/tex]
[tex](a + 12)( - a - 2)[/tex]
Have a great day ♡
Pearl and Jason are working on homework together when Pearl says, "got x = 6 and x=13 as the solutions, but it looks like you got something different. Which solutions are right?
"I found a mistake," says Jason. Where did Pearl make a mistake? Explain why it is incorrect. Pearl's work is shown below.
The mistake made by pearl from solving the quadratic equation is that he didn't equate the equation to zero(0) before solving
How to solve quadratic equation?x² - 3x - 10 = 8
x² - 3x - 10 - 8 = 0
x² - 3x - 18 = 0
x² - 6x + 3x - 18 = 0
x (x - 6) + 3(x - 6) = 0
(x + 3) (x - 6) = 0
x + 3 = 0. x - 6 = 0
x = -3. x = 6
Learn more about quadratic equation:
https://brainly.com/question/1214333
PLEASE HELP!!!!!!!!!!!!!!
Answer:
[tex]\frac{4}{5}[/tex] (4/5)
just fill out 4 in the blank
Step-by-step explanation:
1. Equal the denominator for 1/4
End result=[tex]\frac{11}{20}[/tex]
So all the other ones have to be made according to this
20/4=5
1x5=5
[tex]\frac{1}{4}[/tex] will now be [tex]\frac{5}{20}[/tex]
2. Figure out what ?/5 will be
If this number is getting subtracted by [tex]\frac{5}{20}[/tex] then, we have to add [tex]\frac{11}{20}[/tex] by [tex]\frac{5}{20}[/tex] to get our answer.
[tex]\frac{11}{20} +\frac{5}{20} =\frac{16}{20}[/tex]
this means that when [tex]\frac{16}{20}[/tex] gets subtracted by [tex]\frac{5}{20}[/tex] it will equal [tex]\frac{11}{20}[/tex]
3. Simplify 16/20 to it's lowest terms
5x4=20
20/5=4
so, each part ([tex]\frac{1}{5}[/tex]) worth's 4
20-4=16
So that means, that the simplest for for this is [tex]\frac{4}{5}[/tex]
So hence, your answer is 4/5just fill out 4 in the blank
----------------------------------------------------------------------------------------------------------
"If you see someone with a smile, give them one of yours!"
quote by FieryAnswererGT
Thanks!
:D
Answer:
4
Step-by-step explanation:
Let the blank = x
Thus,
[tex]\frac{x}{5}-\frac{1}{4}=\frac{11}{20}[/tex]
[tex]\mathrm{Add\:}\frac{1}{4}\mathrm{\:to\:both\:sides}[/tex]
[tex]\frac{x}{5}-\frac{1}{4}+\frac{1}{4}=\frac{11}{20}+\frac{1}{4}[/tex]
[tex]\mathrm{simplify}[/tex]
[tex]\frac{x}{5}=\frac{4}{5}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}5[/tex]
[tex]\frac{5x}{5}=\frac{4\cdot \:5}{5}[/tex]
[tex]\mathrm{simplify}[/tex]
x = 4
Hence, the blank = 4
Equation = [tex]\frac{4}{5}-\frac{1}{5}=\frac{11}{20}[/tex]
[RevyBreeze]
8. Michelle has 0.5 pound of red peppers
and 0.50 pound of green peppers.
Which number sentence correctly
compares the amounts of red and
green peppers that Michelle has?
A 0.5 = 0.50
B 0.5 > 0.50
C 0.50 > 0.5
D 0.50 <0.5
Answer:
A 0.5 = 0.50
Step-by-step explanation:
The amount of green and red papers are actually equal because green paper is 0.50 and red is 0.5
These two are equal.
In a decimal it doesn't matter if you but 0 after the number, it matters when you but it before the number, because then the value will decrease
9
There were 2,500 sales at a grocery store
in one day. Of these sales, 50% happened
before noon, 15% happened between
noon and 4 PM, and the rest happened
after 4 PM.
How many sales happened after 4 PM?
A 875
B 375
C 450
D 625
Answer:
The answer is 875.
Step-by-step explanation:
Based on the given conditions, formulate: 2500x(1-15%-50%)
Calculate the sum or difference: 2500x(0.85-0.5)
Calculate the sum or difference: 2500xx0.35
Calculate the product or quotient: 875
get the result: 875
Answer: 875
can someone help me with this
2x+4=8
Find x and show work.
Answer:
X is 2 2+2= 4 plus 4 = 8
Step-by-step explanation:
Hoped this helped
Answer:
x = 2
explanation:
2x + 4 = 8
subtract 4 from both sides
2x + 4 -4 = 8 -4
2x = 4
divide both sides by 2
2x/2 = 4/2
x = 2
Recheck:
2x + 4 = 8
2(2) + 4 = 8
8 = 8
Hence proved the solution is correct.