Answers
180 - 121 = 59
the sum of angles in a triangle is 180 so
180-59 = 121
the rest of the angles are going to sum up to 121 so
121=7x + (6x-9)
from here just do basic algebra
Q=180-121
Q=59
7x+6x-9+59=180(anglesum property)
13x+50=180
13x=130
x=10
6x-9=60-9
=51
7x=7*10
=70
Ans=59,70,51
Check:51+59+70=180
HOPE IT HELPED PLEASE MARK AS BRAINLIEST
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Answer:
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Step-by-step explanation:
Perform the indicated operation.
22 6/11 ∙ 1 1/2
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Answer:
Step-by-step explanation:
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for mnyangel only
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eh free points meh dude
Step-by-step explanation:
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The sales tax for an item was $14.80 and it cost $370 before tax.
Find the sales tax rate. Write your answer as a percentage.
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Answer:
$33.30
Step-by-step explanation:trust mee
\sqrt{53+20\sqrt{7}} can be written in the form a+b\sqrt{c}, where a, b, and c are integers and c has no factors which is a perfect square of any positive integer other than 1. Find a+b+c.
Answers
=====================================================
Explanation:
Since the range of [tex]y = \sqrt{x}[/tex] is [tex]y \ge 0[/tex], this means that [tex]\sqrt{53+20\sqrt{7}}[/tex] cannot be negative.
-----------------------------------
Let's set the given nested radical expression equal to the form a+b*sqrt(c), and then square both sides to see what happens
[tex]\sqrt{53+20\sqrt{7}} = a+b\sqrt{c}\\\\\left(\sqrt{53+20\sqrt{7}}\right)^2 = \left(a+b\sqrt{c}\right)^2\\\\53+20\sqrt{7} = a^2+2ab\sqrt{c}+b^2c\\\\53+20\sqrt{7} = (a^2+b^2c)+2ab\sqrt{c}\\\\[/tex]
Equating the corresponding parts shows that
[tex]53=a^2+b^2c \text{ and } 20\sqrt{7} = 2ab\sqrt{c}\\\\[/tex]
Therefore c = 7 must be the case to allow the radicands to match up.
-----------------------------------
Since c = 7, we can update the first equation like so
[tex]53=a^2+b^2c\\\\53=a^2+b^2*7\\\\53=a^2+7b^2\\\\[/tex]
We'll come back to this later.
-----------------------------------
Focus on [tex]20 = 2ab\sqrt{7}[/tex]
Note how 20 and 2ab are coefficients outside the root. So 20 = 2ab leads to ab = 10.
Here are all the ways to multiply to 10 where a,b are integers
1*10 = 10-1*(-10) = 102*5 = 10-2*(-5) = 10So we could have these possibilities.
a = 1, b = 10a = 10, b = 1a = -10, b = -1a = -1, b = -10a = 2, b = 5a = 5, b = 2a = -5, b = -2a = -2, b = -5If you try all of those a,b combinations with [tex]53 = a^2 + 7b^2[/tex], then you should find that a = 5 and b = 2 works. I'm skipping a bunch of steps here. All you basically do is plug and chug.
Due to symmetry, we could have a = -5 and b = -2 as another solution to [tex]53 = a^2 + 7b^2[/tex]. However, if a < 0 and b < 0, then [tex]a+b\sqrt{c}[/tex] would be negative which contradicts the fact that [tex]\sqrt{53+20\sqrt{7}}[/tex] is positive. So we'll ignore any case where a,b are negative.
Therefore, the only combination that works is a = 5 and b = 2
-----------------------------------
Overall, we found that
a = 5b = 2c = 7And therefore,
[tex]\sqrt{53+20\sqrt{7}} = a+b\sqrt{c}\\\\\sqrt{53+20\sqrt{7}} = 5+2\sqrt{7}\\\\[/tex]
You can confirm this with your calculator by taking advantage of the idea "If x = y, then x-y = 0". In other words, if you subtract the left and right sides, you should get 0 as a result (the order of subtraction doesn't matter in this case). Don't forget to use parenthesis correctly, or you may not get 0. It might help to think of it as the form (x) - (y) = 0.
After we confirmed we have the correct a,b,c values, we simply add them up to get a+b+c = 5+2+7 = 14.
Can someone help me out? :P
Answers
Brainliest please I’m tryna rank up
If ur correct i will give u brainliest!
Answers
X = 162 inches
Answer:
x/13.5 feet = 12 inches/1 foot
So, the answer would be
162 inches/13.5 feet = 12 inches/1 foot
An airplane on autopilot took 8 hours to travel 5,728 kilometers. What is the unit rate for kilometers per hour?
Answers
Answer:
716 kilometers per hour
I hope this helps!
5728 /8 = 716 kph
Please give me the answer to these right away.
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Answer:
???
Step-by-step explanation:
If you put that same $1000 with a different company that pays 5% and compounds every six months, how much money will you have on your 18th birthday? Show all your work.
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Please tell me if my answer is correct.
Simple Interest
Answers
Answer:
yes
Step-by-step explanation:
Correct-a-mundo !
4000 * .06 * 5 = 1200
HELLPPP please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
assume diego drank 1 cup of juice, if lin drank 1/4 less, he would have had 3/4 of a cup, this is represented by B, with y being 3/4 of x. You had A correct, and C shows one whole on the top, and a fourth of it below, which could be one pound and 1/4 pound of almonds
Answer:
B, A, C
Step-by-step explanation:
it shouldve been B then A then C
Sorry that the answers are long! ONLY GIVE BRANLIST FOR RIGHT ANSWER! Points (−7, 5) and (7, 5) on the coordinate grid below show the positions of two players of a football team:
Which statement best describes the relationship between the positions of the two players?
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Answers
Answer:
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Step-by-step explanation:
Answer:
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Since you flip across the grid you would get the same coordinates but the number things would be answer blah blah blah
listen I know this is the answer I don’t have to explain myself.
In a proportional relationship, where k=1, what does y equal when x=5?
A. 5
B. 1/5
C. 0.5
D. 0.2
Answers
Answer:
5
Step-by-step explanation:
The question says a proportional relationship, of not stated otherwise, this means a directly proportional relationship, where,
y=kx
Now if, k=1, substituting in the equation would give,
y=x,
Therefore, whatever the value of x is, so is that the value of y,
thus, if x=5,
y=5
Evelyn has some money in her checking account. If she writes a check for $42.50, her checking account will be overdrawn by $23.75. Find how much money is Evelyn’s checking account now.
Answers
Answer: $18.75
Step-by-step explanation:
just subtract $42.50 from $23.75 and you have your answer
Answer:
i would say 18.75 or 66.25
Step-by-step explanation:
bc if u overdrawn that means u spent more than what u had in your bank account
If a ballpoint pens sell for 3 for 65 cents how many pens may be brought for $9.75?
PLZ HELP THIS ASSIGNMENT IS DUE IN 2 HOURS I WILL GIVE BRAINLIEST!!
Answers
Answer:
About 45 pens would be bought
GIVEN,
3 pens can be bought for 65 cents
☞TO FIND
The number of pens that can be bought for $9.75
ANSWER
$9.75 = 975 cents
Therefore the number of pens that can be bought for $9.75 is,
[tex] \frac{975}{65} \times 3 \\ = 15 \times 3 \\ = 45[/tex]
So 45 pens can be bought
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A 2-column table with 4 rows. Column 1 is labeled Number of quarters with entries 3, 4, 5, 6. Column 2 is labeled Total value (in dollars) with entries 12, 16, 20, 24.
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Answers
Answer:
a
Step-by-step explanation:
The answer is A
It is a because it is the only one that does the math correctly.
A library just hired Brittany to write reviews on different books. The job requires her to read 3 books/week. If Brittany reads at this pace for 12 weeks , how many books will she read?
Answers
Answer:
36 books in 12 weeks
Step-by-step explanation:
All you have to do is multiply 3 books a week by 12 weeks....
1 week 3b 7 weeks 21b
2 weeks 6b 8 weeks 24b
3 weeks 9b 9 weeks 27b
4 weeks 12b 10 weeks 30b
5 weeks 15b 11 weeks 33b
6 weeks 18b 12 weeks 36b
3/w (12)
3•12 =36
The equation
P=2(x+5)+3(x−4)
can be used to determine the perimeter of Pentagon QRSTW. When the perimeter is 70 inches, what is the value of x?
Answers
Answer:
5x-2Step-by-step explanation:
2x+2.5+3(x-4)
2x+10+3(x-4)
2x+10+3x+3.-4
2x+10+3x-12
5x+10-12
5x-2
Hi! plz help ty! this is from khan academy btw! ty
Answers
Answer:
z=2
Step-by-step explanation:
When you subtract a negative, you are adding the number, so the question simplify into 14= z + 12, which is 2
Brainliest Maybe?
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Answers
Answer:
y=3x+16
Step-by-step explanation:
If you turn the equation into slope point form you can then evaluate and simplify it to get y=3x+16
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Answers
Answer:
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Step-by-step explanation:
find 139.65-59.623 express your answer in decimal form
Answers
Answer:
80.027
Step-by-step explanation:
139.65 - 59.623= 80.027
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Answers
Answer:
a=7
Step-by-step explanation:
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Answers
Answer:
A
Step-by-step explanation:
Coach Siegel has 4/5 yards of string. He needs to make 10 smocks. How much string does each smock get?
a 4/50
b 50/4
c 40/5
d 5/40
Answers
Explanation: 10 divided by 4/5
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Answer:
[tex]a-(-b)>a[/tex]
Step-by-step explanation:
ok so lets round =-3 and b=2
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Given that the expression “p dollars for every q items” describes a unit price, which statement must be true?
p = 1
p = q
q = 1
pq = 1
Answers
Explanation