Answers
Answer:
x = 9
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Here the exterior angles has a measure of 10x + 58° while its opposite interior angles have measures of 6x + 56° and 38°
If an exterior angle of a triangle is equal to the sum of the opposite interior angles then 10x + 58 = 6x + 56 + 38
we now solve for x
10x + 58 = 6x + 56 + 38
==> combine like terms
10x + 58 = 6x + 94
==> subtract 58 from both sides
10x = 6x + 36
==> subtract 6x from both sides
4x = 36
==> divide both sides by 4
x = 9
and we are done! :)
Answer:
x = 9
Step-by-step explanation:
The sum of all the interior angles of a triangle = 180 degrees
one of the angles of the triangle's interior is blank, so to find it we can subtract the exterior angle measure next to it from 180 degrees (a straight line)
38 + (6x + 56) + (180 - (10x + 58)) = 180
Now, we can do our best to simplify and combine like terms:
[38 + 56 + (180 - 58)] + [6x - 10x] = 180
216 - 4x = 180
Now we can subtract 180 from both sides...
36 - 4x = 0
And then add 4x to both sides...
36 = 4x
Now we've manged to isolate x, all that's left is to divide both sides by 4
9 = x
Or
x = 9
Hope this explanation helped! Feel free to ask questions if anything didn't fully make sense!
Related Questions
simplify the following expression. (-3b+5)-(8b-3)
Answers
Answer:
-11b+8
Step-by-step explanation:
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{★\:Given\: expression★ }}}[/tex]
(-3b+5)-(8b-3)[tex]\rule{70mm}{2.2pt}[/tex]
★ 1st step
Opening brackets to continue operation by multiply ( - ) sign with (8b-3) which gives u[tex]\sf{➛ - 3b + 5 - 8b + 3}[/tex]
★ 2nd step
Arranging terms[tex]\sf{➛ -3b - 8b + 5 - 3}[/tex]
★ 3rd step
solving the expression which give[tex]\sf{➛ - 11b + 2}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \pink{ \boxed{\underline{ \boxed{ \sf{✠ \: -11b+2 \: ✠}}}}}[/tex]
Hope it helps !
D
Question 3
1 pts
Which expression is equivalent to sin(200°)?
-Sin 20°
cos 20°
cos 70°
-sin 70°
-
Activate
Answers
Rewrite the angle as a sum or difference with its
reference angle: sin(180° + 20°)
Simplify the expression using the general
reduction formula: sin(20)
Calculate the approximate value: -0.34202
Answer: -0.34202
I don't know how to solve this please help
Glen Davis is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 74\%74%74, percent of the time.
Answers
Answer: Choice D [tex](1-0.74)^4[/tex]
Reason:
74% = 0.74 represents the probability of him making any given free throw.
This means 1 - 0.74 is the probability of him missing.
Getting four misses in a row has a probability of (1-0.74)^4 which is the same as writing [tex](1-0.74)^4[/tex]
In other words, we multiply exactly four copies of (1-0.74) to get our answer.
a
- A glass display box has a surface area of
378 square inches. How many square
OT
inches of glass are used to create a glass
display box with dimensions that are one-
bovom
half those of the original? (Example 1)
SVRUSU
Answers
Answer:
94.5 in²Step-by-step explanation:
Given
Area of glass display box is 378 in²The scale factor is 1/2We know that the area is the function of two dimensions
To find the surface area of the display box we need to multiply the surface area of the original by the square of the scale factor
A = (1/2)²*378 = 378/4 = 94.5 in²Please help!!!!!!!!!!
Answers
Answer:
See below
Step-by-step explanation:
x = the number
-1/6 x < -9 multiply both sides by -6 (this reverses < to > )
x > 54
Harry charges $4 to babysit for the first hour. For each additional hour, he charges
50% more than he did for the previous hour. How much money in total would Harry
earn for 4 hours of babysitting?
Please help me quick i will mark you as brainliest when i get the chance or if possible
Answers
Harry would earn total money equal to $32.50 babysitting.
Since Harry charges 50% more for each additional hour as he did for the previous hour, then
he charges 1.5 or 3/2 times as much as he did for the previous hour.
What is the charge?Term Definition Money charge refers to a special expense entry and allows an administrator to track changes in a project's billing.
Harry charges $4 for the first hour.
Harry then charges
3/2 × $4 = $6 for the second hour.
Harry then charges 3
3/2 × $6 = $9 for the third hour.
Harry then charges 3
3/2 × $9 = $ 27/2 = $13.50 for the fourth hour.
Therefore, for 4 hours of babysitting
Harry would earn $4 + $6 + $9 + $13.50 = $32.50.
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Classify the polynomial by the number of
terms.
5x2 + 3x – 8
Answers
[tex]\large\textsf{\textbf{Answer\::}}[/tex]
trinomial
[tex]\Large\textsf{\textbf{Calculations\::}}[/tex]
If a polynomial has one term , it's a monomial .
If a polynomial has two terms , it's a binomial .
If a polynomial has three terms , it's a trinomial .
If a polynomial has 4 or more terms , it's a polynomial .
Since the given polynomial has three terms , it's a trinomial .
[tex]\footnotesize\texttt{hope\:helpful~}[/tex]
Pls just give coordinates i will give brainliest
Answers
Answer:
(-2,2) see attached diagram
Step-by-step explanation:
see graph
which of the follwing is correxr
Answers
Answer:
the equation has infinitely amny solutions
You have three consecutive even
numbers so that the sum of twice
the smallest number plus three times
the middle number is four times the
largest number. Find the three numbers.
Answers
52. What is the 275th digit after the decimal point in the
repeating decimal 0.6295 ?
F. 0
G. 2
H. 5
J. 6
K. 9
Answers
Hope you have a nice day
The [tex]275th[/tex] digit after the decimal point in the repeating decimal [tex]0.6295[/tex] will be [tex]9.[/tex]
What is decimal?Decimal is one of the types of numbers, which has a whole number and the fractional part is separated by a decimal point.
It is given that [tex]0.6295[/tex] is a repeating decimal.
i.e. [tex]0.6295[/tex] repeats after [tex]4th[/tex] digit,
So, divide [tex]275[/tex] by [tex]4[/tex],
We get,
[tex]=\frac{275}{4}[/tex]
We get, [tex]68[/tex] and [tex]3[/tex] as remainder.
So, the [tex]275th[/tex] number after the decimal point will be [tex]3rd[/tex] digit in [tex]0.6295[/tex] after decimal.
i.e. [tex]275th[/tex] number will be [tex]9[/tex].
Hence, we can say that the [tex]275th[/tex] digit after the decimal point in the repeating decimal [tex]0.6295[/tex] will be [tex]9.[/tex]
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The diagram shows inner perimeter of a running track.
a. The total length must be 400m. Fund the length of the straight sides.
b. The track has 6 lanes, each 1.5m wide. Find the difference in the length between the outer and inner perimetres.
Answers
Answer:
Complete the sentence.
is 8 times as much as 10.
Step-by-step explanation:
you have to divide it by the length
what’s the area and the perimeter and of the triangle?
Answers
Answer:
42.9
Step-by-step explanation:
8.25x 5.2
Triange formula = b x h
Louise spins the spinner twice. which probabilities are correct? check all that apply. p(both green) = one-sixteenth p(both blue) = one-fourth p(first green and then blue) = one-sixth p(first orange and then blue) = one-eighth p(first orange and then green) = one-fourth
Answers
Answer: P(both green)=1/16
P(both blue)=1/4
P(first orange and then blue)=1/8
Step-by-step explanation:
Answer:A, B, and D
Step-by-step explanation:
Find the MEDIAN of the following data set.46,78,56,27,73
Answers
Answer:
56
Step-by-step explanation:
If you do need a step-by-step explanation just comment under here and I'd be happy to show you how I did it :)
Need the answer for this
Answers
Answer:
Just B and C
Step-by-step explanation:
Not A as cost is always increasing with x.
Yes B as is x squared relationship
Yes C as 15*9 = 135
No D as it is a squared relationship so much more than double
Not E as the the cost increases by a different amount for each increase in x.
Divide 4,671 divided by8
Answers
Answer:
its: 583.875
Step-by-step explanation:
Please give me brainlist
For the following graph, determine if the graph represents a polynomial function. If it is a polynomial function, then determine the number of turning points and the least degree possible.
a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.
b.This is not a polynomial. There are no turning points as the curve represents an odd function.
c.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is two.
d.This is not a polynomial. There are no turning points as the curve is always increasing.
Answers
Using function concepts, it is found that the correct option is given by:
a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.
What is the least degree possible of a polynomial?Supposing a polynomial with n turning points, the least possible degree is of n + 1.
In this problem, the polynomial has 2 turning points, hence the least possible degree is of 3 and option a is correct.
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The area of a
rectangle is 105 square centimeters. The
width of the rectangle is 7 centimeters.
What is the perimeter of the rectangle?
Answers
area=l×w
l=area/w
l=105/5
l=15
perimater=l+w
perimater=15+7
perimeter=22
The surface area of a sphere is 320 square centimeters. what is the radius of the sphere?
Answers
Answer:
r
≈
5.05cm
r
=
1
2
A
π
A
Surface area
cm²
r
d
Unit Conversion:
A
=
320cm²
Using the formula
A
=
4
π
r
2
Solving for
r
r
=
1
2
A
π
=
1
2
·
320
π
≈
5.04627cm
Step-by-step explanation:
Answer:
the answer is 5.05
Step-by-step explanation:
I hope it helps you
A car dealership sold 232 cars in 4 months. At what rate did the dealership sell cars in cars per month?
Answers
Assuming the above parameters are correct, the dealership will sell 3.52 cars per hour on average.
If the dealer is open 7 days a week, then they will sell 4.11 cars per hour.
Answer:
58 cars
Step-by-step explanation:
232 divided by 4 = 58
12-1/2(x-3)=1/4(2x+1)-10
Answers
Answer: x=23.25
Step-by-step explanation:
12-1/2(x-3)=1/4(2x+1)-10
4 ×12 -4×1/2(x-3)=4×1/4(2x+1)-10×4
48-2(x-3)=(2x+1)-40
48-2x+6=2x+1-40
48+6+40-1=2x+2x
93=4x
x=23.25
frank gets a pay rise from £120 a week to £135 a week. what fraction of his original pay was his pay rise?
please help! not sure abt this answer...
Answers
Answer:
1/8
Step-by-step explanation:
135 is 15 more than 120
15 is 12.5% of 120
0.125 as a fraction is 1/8
Hope this helped!
What is the Exponential or Logarithmic function?
Answers
Answer:
Uhm..drugs-
Step-by-step explanation:
PLEASE HELP ME AND MY FRIEND NEED THIS QUESTION ANSWERED PLEASE HELP
Answers
Answer:
[tex]V_{cone} =65.94\: cm^3[/tex]
Step-by-step explanation:
Height of cone (h) = 7 cmBase radius (r) = 3 cmFormula for Volume of cone is given as:[tex]V_{cone} = \frac{1}{3}\pi r^2h[/tex]Plugging the values of h and r in the above formula, we find:[tex]V_{cone} = \frac{1}{3}(3.14) (3)^2(7)[/tex][tex]\implies V_{cone} = \frac{1}{\cancel 3}(3.14) (\cancel 9)(7)[/tex][tex]\implies V_{cone} = (3.14) (3)(7)[/tex][tex]\implies V_{cone} =65.94\: cm^3[/tex]A company manufactures glass paperweights in the shape of square base pyramids. The
paperweight is three inches tall and has a base-edge length of two inches. How much glass is
needed to make the paperweight?
Answers
Answer:
12 in3
step by step exlpaination.
I need the answer asap!!!!
Which expression is equivalent to 6x+ 8?
2(3x-4)
2(3x+4)
2(4x+6)
2(3x+8)
Answers
3. it is the most useful diagra on that will present
The proportion of each Observation in relation to the
Total data set
B pie
pie chart
A line graph
c. bar graph
14 It is the graph that displays the trend or
the behaviour of the data set
A line graph
Copie chart
B. bar graph
Answers
The pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set and a line graph that displays the trend or the behaviour of the data set, called a line graph.
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
As we know, that pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set.
From the definition of the line graph, the graph that displays the trend or the behaviour of the data set, called a line graph.
Thus, the pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set and a line graph that displays the trend or the behaviour of the data set, called a line graph.
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Hey can someone please help me with this question. Im having a hard time with them.
Answers
Answer:
B
Step-by-step explanation:
The event of a baby boom would cause a huge growth in the population whilst the other options would create ethical and financial issues with having many children.
In a bag, there are cards numbered from 21 to 30. Let:
Event A be selecting an odd card
Event B be selecting a card greater than 28.
What is the P(A ∪ B)?
A. 0.70
B. 0.50
C. 0.10
D. 0.60
Answers
Answer:
BStep-by-step explanation:
that's the answer correct me if im wrong