Answers
Answer:
Angle sum property of a triangle is 180°
So,
Angle T + Angle U + Angle V =180°
(5x +7) + (2x + 7) + (6x + 10) = 180 °
5x + 7 + 2x + 7 + 6x + 10 = 180°
13x + 24 = 180 °
13x = 180 - 24
13x = 156
x = 156/13
X = 12
Angle U = 2x + 7 = 24 + 7 = 31
Angle T = 5x +7 = 60 + 7 = 67
Angle V =6x + 10 =72 +10 =82
For second questionx + x + x =3x
And according to the theorem of triangle of sum
3x = 180 °
x = 180 / 3
x = 60°
In first box u have to write 180 °
And in second one 60°
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Related Questions
What is 23/24 as a decimal rounded to the nearest hundredth?
Answers
Answer:
95.80
Step-by-step explanation:
The number 23/24 rounded to the nearest hundredth is 0.96
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Given data ,
Let the number be A = 23/24
So , in order to round the number
First we need to find the decimal for of the number A
And ,
A = 23/24
A = 0.9583
And , rounding the number to its nearest hundredth is rounding the number to two decimal places
So ,
A = 0.9583
A = 0.96
Hence , The number 23/24 rounded to the nearest hundredth is 0.96
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Age of father is 30 years more than that of his son, 5 years hence fathers age will be thrice of his sons age. Find their present ages
Answers
Answer:
Son age be 10
And, the father age be 40
Step-by-step explanation:
The computation of the present ages is shown below:
Let us assume the son age be x
And, the father age be x + 30
Now after five hence, their ages are
Son age = x + 5
And, the father age be = x + 30 + 5
Also the father age is thrice of his son age
So the equation would be
3(x + 5) = x + 35
3x + 15 = x + 35
2x = 20
x = 10
The son age is 10
And, the father age is = 10 + 30 = 40
The correct ans is Five,
Let the son’s present age be x years.
Then the father’s present age is (x+30) years.
Father’s age after 5 years =(x+40) years
Son’s age after 5 years = (x+5) years
(x+40) = 3[x + 5]
x + 40 = 3x + 15
2x = 10
∴ x = 5
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Please help meeeee :,(
Answers
Answer:
I pretty sure the answer is ASA, I hope it's right!
Lauren and her sister are buying their mom a watch for her birthday. The original price of the watch is $50, but the store is having a 25% off sale on watches. The sales tax in Lauren’s state is 6%.
How much will Lauren and her sister pay for the watch including tax?
What percent of the original price do Lauren and her sister pay for the watch, after paying tax?
Answers
Step-by-step explanation:
75×50/100= 37.5$
37.5×6/100=225/100=2.25$
37.5+2.25= 39.75$
Please help me fast
Answers
Answer:
5/4 do the 2 lines then add1 then u get the anwswr
Step-by-step explanation:
Angle measure pleaseeee
Answers
Will give crown help
Answers
Answer:-8,-2,4,10
Step-by-step explanation:
4) Karen Waughtal invested some money at 5% annual simple interest
and $500 more than that amount at 8% annual simple interest. If her total
yearly interest was $300, how much was invested at each rate?
Answers
Answer:
15000
Step-by-step explanation:
$71 is what percent of $100?
Answers
Answer:
its 71%
Step-by-step explanation:
71÷100×100=71%
Answer: 71%
Step-by-step explanation: it’s pretty simple i think, hope this helps!
I need help with both 17 and 18! WILL MARK AS BRANLIEST, PLEASE HELP ASAP!!
Answers
Answer:
17. $2194.80; 18. $1147.20
Step-by-step explanation:
I=prt; I = interest, p = principle, r = rate, t = time
plug in and go
17.
I = 1860(.06)3
I = 1860(.18)
I = 334.8
334.8 + 1860 + $2194.80
18.
I = 960(.065)3
I = 960(.195)
I = 187.2
187.2 + 960 = $1147.20
Work out 97.974436÷14and give your answer to 2 decimal places.
Answers
Answer:
7
Step-by-step explanation:
97.974436/ 14= 6.998174
round to 2 decimal places by looking at the third digit after decimal and is 8 that is greater than 5 so will round up the second digit after the decimal
But, that will make 9 a 10 so we have to make the number 7
Please help me I’m so behind and I’m going to fail if I can’t get this answer. I need 15 but can someone also do 14.
Answers
Answer:
its d 100%
Step-by-step explanation:
I need help I don’t understand
Answers
Answer:
Step-by-step explanation:
let the other point be (x,y)
then
[tex]2=\frac{0+x}{2} \\x=4\\2=\frac{-2+y}{2} \\y-2=4\\y=4+2=6\\so ~other ~end ~is ~ (4,6)[/tex]
There are 13 books on a shelf. 5 of these books are new. The rest of them are used.
Answers
Answer:
So there is 8 old books
Step-by-step explanation:
Answer:
so 8 books are being used and 5 are new total of 13 :)
Step-by-step explanation:
Simplify.
2x^2−3xy+4y^2
Answers
Compare and contrast linear and non linear scatter plots
Answers
Answer:
non-linear plots are when the dots are far away from the other dots and linear is when all the dots are together
Is this set of ordered pAirs a function
(0,2) (3,3) (8,7) (2,2) (3,9)
Answers
Answer:
No, not a function
Step-by-step explanation:
Functions cannot have two or more same domain and different range. (3,3) and (3,9) have same domain and different range.
x=2y-1
3x-3y=9
a. substitution; (7,4)
b. elimination using multiplication; (3, 2)
C. substitution; (4,7)
d. elimination using multiplication; -21,-10)
Answers
Answer: Substitution (7,4)
Step-by-step explanation: Since the value of X is given to us, just plug that in to the other equation to solve for the y coordinate.
which expression is equal to -3(4x - 2) - 2x?
Answers
Answer:
-14x + 6
Step-by-step explanation:
-12x + 6 - 2x
-14x + 6
factor completely. 6x^3-6x^2+x-1
Answers
Answer:
(x−1)(6x2+1)
Step-by-step explanation:
x^3-6x^2+x-1
(x−1)(6x^2+1)
Answe: (
( − 1 ) ( 6 ^ 2 + 1 )
Help please!!! I will give you the brainlyst if you helppp me
Answers
Answer:
the slope is 30 and it represents the total cost of the repair dont know 2 number 3 is for 10 hours he got paid 320 $ 4 ,270 $, 5,15.6
Step-by-step explanation:
A garden is in the shape of a square with a perimeter of 36 36 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 3 3 feet from the first fence on the outside. If the material used to build the two fences is $ 1.32 $1.32 per foot, what was the total cost of the fences
Answers
Answer:
$110.88
Step-by-step explanation:
Let L be the length of the first fence surrounding the garden and P its perimeter.
For a square, P = 4L,
So, L = P/4
Since P = 36 feet,
L = P/4
= 36/4
= 9 feet
Let L' be the length of the second fence. Given that second fence is 3 feet away from the first fence, it follows that L' = L + 3
= 9 + 3
= 12 feet.
So, the perimeter of the second fence is P' = 4L'
= 4 × 12 feet
= 48 feet.
So, the total length of the two fences is P" = P + P'
= 36 feet + 48 feet
= 84 feet
Since the cost of the material to build the two fences is $1.32 per foot, the total cost of the fences is cost per foot × total length of fences = $1.32 × 84 = $110.88
Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20% chance of winning. How many tickets were sold? P (Luna winning) = StartFraction Number of tickets purchased over Total number of tickets sold EndFraction. 20 percent = StartFraction 20 over x EndFraction. One-fifth = StartFraction 20 over x EndFraction. x = tickets
Answers
Answer:
100 ticketsStep-by-step explanation:
Probability of winning = amount of tickets purchased/Total number of tickets
20% = 20/total number of tickets
20/100 = 20/total number of tickets
cross multiply
20 * total number of tickets = 20 * 100
20 * total number of tickets = 100
total number of tickets sold = 100 tickets
Answer:
100 tickets
Step-by-step explanation:
Hi and goodbye
A fraction whose value is the same as 3/4 is
Answers
Answer:
[tex] \frac{6}{8} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} [/tex][tex] = \frac{3 \times 2}{4 \times 2} [/tex][tex] = \frac{6}{8} [/tex]
Identify the slope and y intercept in the equation y=25x + 32
Answers
Answer:
y= 57x
Step-by-step explanation:
25 + 32 = 57x y = 57x
Write an equation in slope-intercept form which has a slope of 1/4 and crosses the Ÿ-axis at (0,7)
Answers
Answer:
y= 1/4 x +7
Step-by-step explanation:
The slope intercept form of a line is
y = mx + b where m is the slope and b is the y intercept
the slope is 1/4 and the y intercept is 7
y= 1/4 x +7
what is the value of x in this triangle
Answers
Answer:
30
Step-by-step explanation:
if the total angles in a triangle equals 180, and there is 6x in total (after adding it up), 180 divided by 6 equals 30.
Hope that makes sense!
A satellite is orbiting Earth at an altitude of 480 kilometers. What is the satellite's altitude, in meters? (1
kilometer = 1,000 meters)
Answers
Answer:
480,000
Step-by-step explanation:
480*1,000=480,000
Which will yield the larger balance in one year? $3,000 at 6% compounded twice a year
$3,000 at 6% compounded quarterly
Answers
Answer:
quarterly
Step-by-step explanation:
Based on his skills in basketball, it was computed that when Joe Sureshot threw a free throw, the odds in favor of his making it were 4 to 35. Find the probability that when Joe shot a free throw, he made it. Out of every 100 free throws he attempted on the average how many did he miss?
Answers
Answer:
11.43%
89 free throws would miss
Step-by-step explanation:
In order to find the percentage probability of Joe making a free throw show we need to the odds given and then multiply that decimal value by 100 like so...
4 / 35 = 0.11428
0.11428 * 100 = 11.43% rounded up
If Joe were to shoot 100 free throws 11.43% would most likely go in but since the actual number can only be a whole number it would mean that 11 of those 100 free throws would go in.
100 - 11 = 89
Therefore, 89 free throws would miss on average.