Answers
Answer:
exterior angle property use ...
the exterior angle of an angle is equal to sum of rest 2 interior angles in a triangle
155 = 60 + x
x = 155 - 60 = 95
The missing angle x in the triangle is 95 degrees.
Here, we have,
from the given figure we get,
one angle of the triangle is: 180- 155 = 25 degrees.
To find the missing angle x in the triangle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
In this case, we are given two angles of the triangle: 25 degrees and 60 degrees.
Let's denote the missing angle as x.
To find x, we can subtract the sum of the given angles from 180 degrees:
x = 180° - (25° + 60°).
Simplifying the expression inside the parentheses:
x = 180° - 85°.
Subtracting:
x = 95°.
Therefore, the missing angle x in the triangle is 95 degrees.
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Related Questions
Which of the following lists is in the correct order from smallest to largest?
-19, -14, 5, 11
-7, -3, 6, 2
11, -12, 15, -19
-13, -19, -21, -24
Answers
Explanation:
A number line might help show why this is the answer. Stuff on the left is smaller than stuff on the right. For instance, -19 is to the left of -14, so that makes -19 to be smaller than -14.
As you can see, the positive values increase as you'd expect. The negative values are a bit strange in that there's this mirroring going on. In other words, the -19 and -14 are flipped if you were to think of them as 14 and 19.
The number line is shown below.
Step-by-step explanation:
Step-by-step explanation:if a number has - the bigger it is the smaller it is in the rank so its number 1
Sonia works at a bakery. The function f(x) represents the amount of money Sonia earns per loaf, where x is the number of loaves she makes. The function g(x) represents the number of bread loaves Sonia bakes per hour, where x is the number of hours she works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x)=9x^2+1
g(x)=square root 2x^3
Answers
Answer:
18x^3+1
Step-by-step explanation:
since g(x)=√2x^3 and f(x)=9x^2+1 then
f(g(x))= 9(g(x))^2 +1 = 9(√2x^3)^2 +1 = 18x^3+1
this represents the amount of money Sonia earns baking loaves in x hours
The equation of f(g(x)) is [tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex], and it represents the amount of money Sonia makes when she bakes for x hours
The functions are given as:
[tex]f(x) = 9x^2 + 1[/tex]
[tex]g(x) = \sqrt{2x^3}[/tex]
Recall that:
[tex]f(x) = 9x^2 + 1[/tex]
Substitute g(x) for x
[tex]f(g(x)) = 9(g(x))^2 + 1[/tex]
Substitute [tex]g(x) = \sqrt{2x^3}[/tex]
[tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex]
Hence, the equation of f(g(x)) is [tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex]
Read more about composite functions at:
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A purchase costs $25.79 plus a tax of $1.29. Find the sales tax rate.
Answers
Answer:
The sales tax rate is 5%.
Step-by-step explanation:
To determine the sales tax rate if you already know the amount of tax being added to the purchase price, divide the amount of tax by the purchase price. In this example, divide $1.29 (amount of tax being added) by $25.79 (purchase price). When you do that, you will see that the answer is 0.0500, or 5%.
k(x) = X +-6
k(3) =
Answers
Answer:
-3
Step-by-step explanation:
Idnxjhwhdjdudjdkuff
Answer:
[tex]x=-\frac{18k}{k-1};\quad \:k\ne \:1[/tex]
Step-by-step explanation:
[tex]\mathrm{Divide\:both\:sides\:by\:}k-1;\quad \:k\ne \:1[/tex]
[tex]\frac{x\left(k-1\right)}{k-1}=\frac{-18k}{k-1};\quad \:k\ne \:1[/tex]
Which geometric figure does not have rotational symmetry?
A. trapezoid
B. equilateral triangle
C. regular pentagon
D. rectangle
Answers
Answer:
A. trapezoid
Step-by-step explanation:
A trapezoid does not have rotational symmetry . It would have to rotate 360 degree to look the same
An equilateral triangle has 120 degree rotational symmetry
A regular pentagon has 72 degree rotational symmetry
A rectangle has 180 degree rotational symmetry
What will be the first term of a geometric series which has its sum 280, common ratio 3 and the last term 189 ?
Answers
Answer:
b1=7
Step-by-step explanation:
If we deal with geometric series, we should use the formulas for it. If there is the last term, it is not infinite geometric series. The sum of geometric series which isn't infinite is equal to b1(r^n-1)/(r-1) where b1 is the first term and r is the common ratio.
So 280= b1(3^n-1)/(3-1)
560= b1(3^n-1)
560= b1*3^n-b1
Then express bn=b1*r^(n-1)
189= b1*3^(n-1)
189= b1*3^n*1/3
567= b1*3^n when
560= b1*3^n-b1
560=567-b1
b1=7
what is the scale factor of 10 inches = 5 meters?
Answers
Answer:
2:1
Step-by-step explanation:
I'm not completely sure if this is correct, but I'm like 90% sure it is.
The sqrt(98) falls between what two numbers on a number line?
Answers
Answer:
9 and 10
Step-by-step explanation:
9²=81
10²=100
98 lies between 81 and 100
find the mode for the
following data set {1,3,5,7,9]
PLS HELP
Answers
Answer: There is no mode.
Step-by-step explanation:
The mode is the number in a data set that occurs most frequently. Count how many times each number occurs in the data set. The mode is the number with the highest tally. It's ok if there is more than one mode. And if all numbers occur the same number of times there is no mode.
Hope this helps!
How many integers $n$ satisfy $-4n\ge 12$ and $n+5>2$??
Answers
-4n ≥ 12 ==> n ≤ -3
n + 5 > 2 ==> n > -3
But n cannot be both less than/equal to -3 AND greater than -3, so there are no integers n that satisfy these inequalities.
Answer: 0
Step-by-step explanation:
At a tanning salon, customers are charged \$10 for their first visit in a calendar month and \$6 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon
Answers
Answer:
The salon would've made $1,240.
Step-by-step explanation:
Think of the customers as the numbers and the visits as variables. Then the equation would look something like this:
Revenue = 100(first visit) + 30(second visit) + 10(third visit)
And now, we just solve:
r = 100(10) + 30(6) + 10(6)
r = 1,000 + 180 + 60
r = $1,240
find the area of this rectangle
Answers
The answer is
2x^2+1x-45
what is the smallest subset that 12 bellong
Answers
Answer:
0 is the smallest subset that 12 belongs i think
Answer:
whole number because 12 is a positive number with no decimal place or fraction.
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Answers
Answer:
B
Step-by-step explanation:
In each one, they add two arrows that are to the right as much as they possibly can be
asking this out of spite <3
Which statement is true about the climbers’ heights?
A) Brynn was resting at a constant climbing height when Abby’s climbing height was decreasing.
B) Abby’s climbing height was decreasing when Brynn’s climbing height was increasing.
C) The heights of both climbers increased, then decreased, with no rest at a constant height.
D) Both climbers rested on the wall at a constant height for 2 minutes.
Answers
Hope this helps i guess haha
if x = 2 and y = 1 what is the expression of 3(y-1)+2x2 ( it’s not actually 2x2 the 2 is small i don’t remember what it’s called)
Answers
Answer:
substituting the given values we get,
3(1-1)+2*2
using bodmas we get
3(0)+2*2
0+2*2
0+4
4
therefore the answer is 4,thank you and mark the answer as brainliest if u find my answer helpful
Answer:
he's correct that is the answer!!
whats the volume the triangular prism?
Answers
Answer:
the volume is 1000 cm^3
Step-by-step explanation:
first we need to find where is the base, and height, for this case, the trian is the base, not the rectangle, so it maybe eas if you draw a upright angle os the shape, with the triangle facing down.
As show you need to have bare and height for the volume of the prism, which we already know the height is 25 (h=25) so now we need to find the base.
for the base, since it’s a triangle, which has the area formal of 1/2(bh), so now just plot the number in, 1/2x10x8= 40 cm^2
now using the volume of prism formal; V = bh = 40 x 25 = 1000 cm^3
The radius of a football is 5cm.
Calculate its volume.
Answers
Refer the attached image for the answer
HOPE SO IT HELPS YOU
Answer:
523.6 to 1 decimal place
Step-by-step explanation:
→ Utilise the formula for a volume of a sphere
[tex]\frac{4}{3}[/tex] × π × r³
→ Substitute in the radius
[tex]\frac{4}{3}[/tex] × π × 5³
→ Simplify
523.6 to 1 decimal place
What is the value of c, d, a, and b?
Answers
Answer:
a=101
b=67
c=84
d=80
Step-by-step explanation:
The measure of an intercepted arc will always be twice the measure of the inscribed angle
to find A:
2(100)=a+99
200=a+99
a=101 degrees
d=80 degrees because 100*2=200, 360-200=160, and 160/2=80
You can find c by subtracting 100, 96, and 80 from 360 and you get c=84 degrees
Find the measure of b by using what you found as measure of c and a
2(84)=101+b
168=101+b
b=67
Answer:
By the inscribed angle theorem, the measure of inscribed angles is half the measure of its intercepted arc, the inscribed angle measuring 100°.
Intercepts the arc measuring [tex](a+99)^{o}[/tex] so:
[tex]100=1/2(a+99)[/tex]
[tex]200=a+99[/tex]
Subtract 99 from both sides
[tex]a=101[/tex]
By the corollary 3 of the inscribed angle theorem, the opposite angle of a quadrilateral inscribed in a circle are supplementary so:
[tex]c+96=180[/tex]
Subtract 96 from both sides
[tex]c=84[/tex]
and, [tex]d+100=180[/tex]
[tex]d=80[/tex]
The inscribed angle measuring c° intercepts the arc measuring (a+b)° so:
[tex]c=1/2(a+b)[/tex]
[tex]84=1/2(101+6)[/tex]
[tex]168=101+b[/tex]
[tex]b=67[/tex]
OAmalOHopeO
15. Find the volume of the sphere. Use 3.14 for pi and round to the nearest tenth if necessary.
9 km
3
O 3420.2 km
1974.1 km
Answers
Answer:
The Correct Answer is option C.) [tex]3052.1 km^{3}[/tex]
(Drop downs:) 8,6,5.5
(Drop downs 2:) 10.5,8,5.5
(Drop downs 3:) 33,22,11
Answers
Step-by-step explanation:
Perimeter of equilateral triangle=24, side=24/3=8. Side of square=Side of equilateral triangle - 2.5 = 5.5. The perimeter of square is 4*5.5=22
Given three consecutive even integers whose sum is 54, find the largest of the three integers.
Answers
Answer:
The largest of the three numbers is 20Step-by-step explanation:
16, 18, 20
(n) + n+2 + n+4
Note:We only took even numbers
Answer:
20
Step-by-step explanation:
Let the least integer = x. The three consecutive even integers can be denoted as:
x , x + 2 , x + 4
Set the equation:
(x) + (x + 2) + (x + 4) = 54
Simplify. Combine like terms:
(x + x + x) + (2 + 4) = 54
(3x) + (6) = 54
3x + 6 = 54
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 6 from both sides of the equation:
3x + 6 (-6) = 54 (-6)
3x = 54 - 6
3x = 48
Next, divide 3 from both sides of the equation:
(3x)/3 = (48)/3
x = 48/3
x = 16
~
Next, find the largest of the three integers, which was denoted as x + 4:
x + 4
(16) + 4 = 20
20 is the largest integer.
Check:
x + (x + 2) + (x + 4) = 54
16 + (16 + 2) + (16 + 4) = 54
16 + 18 + 20 = 54
16 + 38 = 54
54 = 54 (True).
~
Can someone help me on this math question its confusing ill give brainly when right!!!
Answers
Identify the number as prime, composite or neither. If the number is composite, write it as the product of prime
factors.
18
Answers
Answer:
composite number
prime factors={2,3}
factors of 18={1,2,3,6,9,18}
❏ Hello there! ❏
This number is composite.
Prime numbers have only two factors.
An example of a prime number is 5 (it's divisible by itself and 1)
Every prime number is divisible by itself and 1 (only these two numbers)
Composite numbers, however, have 3 or more factors.
18 has more than 3 factors, therefore, it's composite.
Product of prime factors:
2*3*3
2 is prime, because it's divisible by itself and 1
3 is prime as well
Hope it helps you!
~Just a cheerful gal
#CarryOnLearning
Answered by
[tex]-SilentNature -[/tex]
Geometry, please answer question ASAP
Answers
9514 1404 393
Answer:
C. 16
Step-by-step explanation:
UV is a diameter of the circle. If it is perpendicular to the chord XS, then it bisects that chord. This means ...
XT = TS
3b -1 = b +5
2b = 6
b = 3
TS = b +5 = 8
The chord length is 2·TS = 2·8 = 16 units.
Answer:
C,XS=16
Step-by-step explanation:
3b-1=b+5
3b-b=5+1
2b=6
b=6/2=3
TS=b+5=3+5=8
XS=2 TS=2×8=16
1) Jack and Jill have a Jill have a combined age of 25. Jack is 3 years older than Jill. How old are they?
2) A rectangle has an area of x^2+7x+12. Find the length and the width of the rectangle.
Answers
Answer:
1.) Jill = 11 yrs & Jack = 14 yrs. | 2.) (x + 4)(x + 3)
Step-by-step explanation:
1.)
Let j = Jill's age.
[tex]j+(j+3)=25\\2j+3=25\\2j=22\\j=11\\\\\\(11)+3=14[/tex]
Therefore, Jill is 11 and Jack is 14.
2.)
[tex]x^2+7x+12\\(x+4)(x+3)[/tex]
Here are two fractions 3/10 and 5/7 work out which one is closer to a 1/2
Answers
Answer:
Therefore 3/10 is closer to ½
Step-by-step explanation:
We've to get the difference:
» with 3/10 :
[tex] \frac{1}{2} - \frac{3}{10} = { \boxed{\frac{1}{5} }}[/tex]
» with 5/7
[tex] | \frac{1}{2} - \frac{5}{7} | = { \boxed{ \frac{3}{14} }}[/tex]
but:
[tex] \frac{3}{14} > \frac{1}{5} [/tex]
Among both the given fractions, the one that is closer to a ½ is 3/10.
What is a fraction?A number that is stated as a quotient in mathematics, when the numerator and denominator are split in half. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction.
An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.
A fraction is a number that represents a portion of a whole. In order to evaluate it, a whole is divided into a number of components. A correct fraction has a numerator that is lower than its denominator.
Required calculations are done with both the fractions,
1/2 - 3/10 = 1/5
1/2 - 5/7 = 3/14
3/14 ≥ 1/5
Therefore, among both the given fractions, the one that is closer to a ½ is 3/10.
Learn more about fraction from here:
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Please help me to solve these questions as soon as possible. Thank you
Answers
Answer:
499
9
April 12 2021
Step-by-step explanation:
1 and 500 are the smallest and largest
12 is the highest common factor
Every 12 days they have an appointment together
Over what interval is the function in this graph increasing?
AY
5
O A. -33x2
B. -43x3-2
O C. -5 sxs 5
OD. -2 sxs 3
Answers
Answer:
D
Step-by-step explanation:
As the graph depicts, the function is increasing in the interval [-2,3]
13. A pair of shoes sell for $27 per pair. There is a sale tomorrow on shoes offering two pairs for $45.
How much will 3 pairs of shoes cost today?
Answers
Answer:
$72
Step-by-step explanation:
The sale offers 2 pair of shoes for $45, but the price is same for 1 pair of shoes.
The cost of 3 pair of shoes
= The sale price of 2 pair of shoes + Regular price of 1 pair of shoes
= $45 + $27
= $72
So, 3 pairs of shoes will cost $72 today.
