the measures of the angles of a triangle are shown in the figure below. solve for x
Answers
Answer:
x = 12
Step-by-step explanation:
81 + 57 + 2x + 18 = 180
156 + 2x = 180
2x = 24
x = 12
If the measures of triangle are 81⁰, 57⁰ and (2x+18)⁰then value of x is 12.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given triangle has three angles 81⁰, 57⁰ and (2x+18)⁰
According to the angle sum property.
The sum of three angles of triangle is 180⁰
81⁰+57⁰+(2x+18)⁰=180⁰
81+57+2x+18=180
We need to find the value of x of for eighty one plus fifty seven plus two times of x plus eighteen equal to one hundred eighty.
Add 81, 57 and 18
156+2x=180
Subtract 156 from both sides
2x=180-156
2x=24
Divide both sides by 2
x=12
Hence the value of x is 12.
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Related Questions
The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.Mathland skating rink charges $4.00 an hour to skate . what equation represents situation on;the skating palace
Answers
Answer:
Equation for the skating palace
= 6 + 2x
Step-by-step explanation:
Let the number of hours = x
For skating palace, the equation is written as:
The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.
$6 + $2 × x
= 6 + 2x
For Mathland , the equation is written as:
Mathland skating rink charges $4.00 an hour to skate .
$4 × x
= 4x
Therefore, the equation that represents the situation on the skating palace is :
6 + 2x
Hanako is putting up a fence around their rectangular yard. The fence will be 15 yards long and 6 yards wide. What is the area of Hanako's fence, in square yards?
Answers
Answer:
90 Square Yards
Step-by-step explanation:
To find the area of a rectangle, all you do is multiply the length by the width.
in your equation, the length is 15 and the width is 6.
And 15 x 6 = 90, so the answer is 90 Square Yards.
If a bag contains 12 apples, 4 bananas, and 8 oranges, what is the part-to-whole ratio bananas to all fruit?
Answers
Answer:
4:24
Step-by-step explanation:
12 + 4 + 8 = 24 and there are only 4 bananas. So, the answer is 4:24
hope that helps!!
Answer: 1 : 6
Step-by-step explanation: 4 over 24 equals 1/6th or 1:6 .
Please HEELLPPP!!!!!!!!!
Answers
Answer:
C) 56
Step-by-step explanation:
These angles are supplementary (they add up to 180):
3x + 31 + 2x - 6 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
x = 31
<FEG:
2x - 6
2(31) - 6
62 - 6
56
Are the two Rectangles congruent? How do you know?
A. No, Sides are diffrent length and do not have a corresponding part.
B. Yes, each side and each angle has a congruent corresponding part.
Answers
Yes each side and each angle has a congruent corresponding part
Someone please help with this question I need an answer no longer than 5 minutes
NO LINKS
Answers
Answer:
radius: 8.4 Area: 221.5
Step-by-step explanation:
16.8 divided by 2 = 8.4
The Formula for finding the area of circle= R₂ (radius squared: radius times itself) Multiplied by pi. pi = 3.14
8.4₂ multiplied by 3.14
What is the correct answer?
Answers
Answer:
pink
Step-by-step explanation:
,pink is the only logical option
Reflect the function f(x)=x^4 about the x-axis and translate it 3 units to the left to produce g(x). A. G(x)=-x^4+3 B. G(x)=-x^4-3 C. G(x)=-(x-3)^4 D. G(x)=-(x+3)^4
Answers
Answer:(d)
Step-by-step explanation:
Given
Function is [tex]f(x)=x^4[/tex]
If it is reflected about the x-axis it becomes [tex]-x^4[/tex]
To shift it 3 units to the left it becomes
[tex]-(x+3)^4[/tex]
option (d) is correct
This is shown in the figure below
Find the length of the boldest arc. Rounded answer to the nearest hundredth (use 3.14 for pie)
Answers
8π yards
Step-by-step explanation:
A circle subtends a total angle of 360 ° from its center.The length of an arc is directly proportional to the angle it subtends from the circle's center. The arc's length can therefore be calculated as:
C=πd=2πr
Where C is circumference, d is diameter and r is radius. Given r as 16 yards then the arc length which is equivalent to circumference is given as
Geometry please help.
Answers
Answer:
CD = 16
Step-by-step explanation:
We can see that both AC and AB are radii. This means that they are equal, so AC = AB = 17. From segment addition postulate we can say AB = AE + BE
We are given BE, and we found the length of AB, so we can substitute and solve for AE:
AB = AE + BE
17 = AE + 2
AE = 15
Since we are given that AB is perpendicular to CD, ∠AEC would be a right angle, making ΔAEC a right triangle.
Now, we can use the pythagorean theorem to find the length of CE.
a^2 + b^2 = c^2
We are given the hypotenuse, c or AC in this case, and one leg, b, or AE in this case. We can plug in the values we are given:
CE^2 + AE^2 = AC^2
CE^2 + 15^2 = 17^2
CE^2 + 225 = 289
CE^2 = 64
CE = 8
Now, if a chord is perpendicular to a radius(AB in this case) we can say that it is split in half by the radius. This is basically saying that CE = DE = 8.
Again, using segment addition postulate, we can say:
CE + DE = CD
CD = 8 + 8
CD = 16
math question please help
Answers
Answer:
12 days, 72 tickets
Step-by-step explanation:
the x coordinate of the vertex (aka the number of days it takes to peak) is equal to -b/2a, where b is the coefficient of the second term and a is the coefficient of the first term. That is equal to -9.6/2*-0.4 = 12.
plug 12 in for x to get -0.4*12^2+9.6*12+14=71.6, which rounds to 72.
can someone please help its my 2 to last one
Answers
Answer:
x= -7 because when you add 60+45+82 you get 187. The interior angles of a triangle add up to 180
Step-by-step explanation:
What is the value of s?
Answers
Which polynomial is a perfect square trinomial?
36x2 − 18x − 9
4a2 − 28a − 49
25b2 − 40b + 16
4x2 − 6x + 9
Answers
Answer:
The third one
Step-by-step explanation:
The process would be figuring out the square root of the first and last term of each equation, after doing so, you would take that number (square root of first and last number) then you do 2(a)(b) which would be which should be the middle term. In this case 2(5)(4) = 40 which is correct.
Step-by-step explanation:
my calculator got 36x*2-18-27/4
Please please please help me with this
Answers
Answer:
Apparently the picture is pitch black so I don't understand what you need help with. Sorry.
Step-by-step explanation:
Cards in a pack are black or red in the ratio
black: red = 2:5
What fraction of the cards are red?
Answers
what is the square root 55 explanation plzz
Answers
The principal, real, root of:
[tex]\sqrt[2]{55}[/tex] =7.41619849
(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !
Answers
Answer:
3 and 1/12
Step-by-step explanation:
hope this helps! :)
Pls help is it; (1.5, 2) or no solution
Answers
Answer:
no solution?
Step-by-step explanation:
is any body board because i am:(
Answers
frl this place is boring
But yes I am too
If sin 52° = 0.788, what is the approximate value of
cos 38°?
No link pls
Answers
Answer:
0.788
Step-by-step explanation:
Sin 52° = 0.788
Therefore
Cos 38° Is 0.788
The approximate value for 38° is 0.788
A camera has a listed price of $511.99 before tax. If the sales tax rate is 7.75%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary,
Answers
Answer:
$551.70
Step-by-step explanation:
Price before tax= $511.99
Cost of the tax= 7.75/100×511.99
= $39.679
Total cost of the camera= $511.99+$39.679
= $551.669
≈ $551.70
The box plots show the weights in pounds of the dogs in two different animal shelters
Weights of Dogs in Shelter A
6
8
10
12
14
16
18
20
22
24
26
28
Weights of Dogs in Shelter B
One-half of the dogs in each shelter are between which weights?
between 8 and 30 pounds in shelter A between 10 and 28 pounds in shelter B
benveen 8 and 17 pounds in shelter A between 10 and 16 pounds in shelter B
between 21 and 30 pounds in shelter A between 18 and 28 pounds in shelter B
between 28 and 30 pounds in shelter A between 20 and 28 pounds in shelter B
Answers
Answer:
between 21 and 30 pounds in shelter A between 18 and 28 pounds in shelter B
Step-by-step explanation:
One half of the dogs in each shelter points at the the upper 50% of the dog weight. This point is marked by the median value up to the maximum weight value.
The median value is the point marked inside the box on a boxplot and the maximum value is the upper end or the endpoint of the whisker.
For SHELTER A:
Median = 21
Maximum = 30
Hence, For shelter A, it is the interval between 21 and 30
For shelter B:
Median = 18
Maximum = 28
Hence, it is the interval between 18 and 28
Answer:
it's c
Step-by-step explanation:
:)
The midpoint of AB is M(0,3). If the coordinates of A are (4, -1), what are the
coordinates of B?
Answer:
Submit Answer
attempt 1 out of 2
Answers
Where do people and animals get the oxygen they breathe?
From plants
From other animals
From water
From the sun
Answers
Answer:
From plants hope it helps you have a good day keep smiling be happy stay safe ☺️Answer:
From Plants
Hope it will help you
32. A data set is normally distributed
with mean 18 and standard
deviation 2.7. Approximately what
percent of the data are greater
than 14?
(A) 0.7%
(B) 6.9%
0.9%
D 93.1%
Answers
Answer:
93.1%
Step-by-step explanation:
Can someone tell me the answer for 7.05 x 9.4
Answers
Answer:
[tex]{\huge\purple{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex]7.05 \times 9.4 \\ = 66.27[/tex]
Solve 3x2 + x - 10 = 0. Round solutions to the nearest hundredth. (5 points) a x ≈ −5 and x ≈ 2 b No real solutions c x ≈ −2 and x ≈ 1.67 d x ≈ −1.67 and x ≈ 2
Answers
Answer:
c) x ≈ −2 and x ≈ 1.67
Step-by-step explanation:
Solve 3x²+ x - 10 = 0.
We solve using Almighty formula
-b ± √b² - 4ac/2a for equation: ax² + bx + c
where a = 3, b = 1, c = -10
Hence
-1 ± √1² - 4 × 3 × -10/2 × 3
-1 ± √1 - (-120)/6
-1 ± √1 + 121/6
-1 ± √121/6
-1 ± 11/6
Hence:
-1 - 11/6
-12/6 = -2
-1 + 11/6
= 10/6
= 1.67
Therefore, x = -2, x = 1.67
Option c) x ≈ −2 and x ≈ 1.67 is the correct answer
Nancy and Fabian’s dinner bill at a restaurant is $28 before tax. The tax on their meal is 2.5%.
How much is Nancy and Fabian’s final bill after tax is added?
Answers
Answer:
gtbhytyt4ff5ddtd56cc6c6c6c6f6c66ffb
The amount that Nancy and Fabian’s final bill after tax is added will be $28.70.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Nancy and Fabian’s dinner bill at a restaurant is $28 before tax. The tax on their meal is 2.5%.
Let "T" be the final bill. Then the equation is given as,
2.5% = [(T - $28) / $28] x 100
0.025 = (T - $28) / $28
T - $28 = $0.70
T = $28.70
The amount that Nancy and Fabian’s final bill after tax is added will be $28.70.
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What is m X to the nearest degree?
Help plssss
Answers
Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos X = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{13}{18}[/tex] , then
∠ X = [tex]cos^{-1}[/tex] ([tex]\frac{13}{18}[/tex] ) ≈ 44° ( to the nearest degree ) → A