Answer:
x = 165, y = 15
Step-by-step explanation:
1. Well, what does supplementary mean? - The angles add up to 180°.
2. Let's form an equation: x + y = 180°
3. Let's say x is the larger angle and y is the smaller angle.
4. Let's form another equation: x = 150 + y
5. Put the two equations next to each other:
x + y = 180
x = 150 + y
6. We know what x is equaled to, so let's plug it into the first equation!
150 + y + y = 180
150 + 2y = 180
-150 -150
2y = 30
y = 15
7. Now, we know what y is, let's find x!
x + 15 = 180
-15 -15
x = 165
The measure of both angles are 15 degrees and 165 degrees.
What is Angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle
Given that the two angles are supplementary.
we know that supplementary angles are the angles whose sum is added to 180 degrees.
Let the smaller angle is x.
The larger angle is 150∘ larger than the smaller angle.
y=x+150
Now add both the angles which makes 180 degrees
x+x+150=180
2x+150=180
Subtract 150 on both sides
2x=30
Divide both sides by 2
x=15
So the smaller angle is 15 and the larger angle is 165 degrees
Hence, the measure of both angles are 15 degrees and 165 degrees.
To learn more on Angles click:
https://brainly.com/question/28451077
#SPJ2
What is the measure of angle c?
Answer:
∠ c = 29°
Step-by-step explanation:
∠ b and 97° are vertically opposite angles and are congruent , so
∠ b = 97°
the 3 angles in the triangle sum to 180° , that is
54° + b + c = 180°
54° + 97° + c = 180°
151° + c = 180° ( subtract 151° from both sides )
c = 29°
Answer:
•SEE ABOVE ATTACHMENT•HOPE IT HELPS!
MARK AS BRAINLIAST.
Which statement best describes the primary duty of the judicial branch of government? A. to appropriate and pass the budget B. to interpret the laws and Constitution C. to make treaties and declare war
Answer:
B
Step-by-step explanation:
just look up its responsibilities as a branch, and its judicial its in its name
what is the diffrence of (x+5) and (2x+3)
Answer:
2-x
Step-by-step explanation:
PLEASE ANYONE I NEED HELP
Answer:
Number 1, or letter H should be 3 and 3.
Step-by-step explanation:
There's 1 hamburger, 1 hot dog and 1 chicken sandwich. Sandwich wise it's 3.
There's 1 cola, 1 diet cola and 1 lemonade, thus making it 3 as well.
Two math classes took the same quiz. The scores of 10 randomly selected students from each class are listed below.
Sample of Class A: 75, 80, 60, 90, 85, 80, 70, 90, 70, 65
Sample of Class B: 95, 90, 85, 90, 100, 75, 90, 85, 90, 85
Based on the medians of the scores for each class, what inference would you make
about the quiz scores of all the students in Class A compared to all the students in
Class B? Explain your reasoning to justify your answer.
(written answer)
Answer:
The score of class b were better than the scores of class a.
the median for class a was 77.5
the median for class b was 90
therefore class b overall scored better on the quiz than class a
Step-by-step explanation:
hope this helps :)
A grounds crew is marking out a circular logo at the center of a football field. The logo will
have a circumference of 141.3 feet. What will be the diameter length of the logo in yards?
Answer:
circumference of a circle formula is C=2*pi*r
Step-by-step explanation:
then
141.3 = 2*pi * r
solve for r
141.3/ (2*pi) = r
22.48859 feet
diameter is 2*r
2*22.48859= 44.9771 feet
divide by 3 because there are 3 feet in one yard
44.9771/3= 14.99239 yds.
it doesn't say to round off, but I would call this 15 yds.
Diameter is 15 yards ± .008 yds That's just about 1/4 of an inch
Work out the sheet below
Answer:
32cm² is the area of face CFGD.
Step-by-step explanation:
The volume of the given figure is __ ft3
Answer:
I believe the answer is 20
When my pot of paint is half full, it weighs 5.8 kg. When my pot of paint is one quarter full, it weighs 3.1 kg.
What is the weight of the full pot?
The paint in the pot is an illustration of a linear equation and the weight of the full pot is 11.2 kg
How to determine the weight of the full pot?The given parameters can be represented using the following ordered pairs:
(x,y) = {(0.5, 5.8) and (0.25, 3.1)}
The slope of the equation is calculated using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (3.1 - 5.8)/(0.25 - 0.5)
Evaluate
m = 10.8
The equation is then calculated using:
y = m(x - x1) + y1
This gives
y = 10.8(x - 0.5) + 5.8
Expand
y = 10.8x + 0.4
When the pot is full, we have x = 1
So, the equation becomes:
y = 10.8 * 1 + 0.4
Evaluate
y = 11.2
Hence, the weight of the full pot is 11.2 kg
Read more about linear equations at:
https://brainly.com/question/14323743
Select the correct answer.
A polygon is translated and then stretched vertically. Which statement is correct?
A.
The translation does not preserve side lengths and angles, but the vertical stretch preserves side lengths and angles of the preimage.
B.
Neither the translation nor the vertical stretch preserves side lengths and angles of the preimage.
C.
The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
D.
Both the translation and the vertical stretch preserve side lengths and angles of the preimage.
C: The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
How to explain translation of a polygon?When we talk about the concept of translation in transformations, it means that the side lengths remain the same. This means the object is just moved from one place to another and the lengths are preserved.
However, when we stretch the polygon, it means we are increasing or decreasing at least one side length.
Thus, we can conclude that The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
Read more about Translation at; https://brainly.com/question/27843693
#SPJ1
A triangular window in a beach house is 48 inches in height and contains 1728 square inches of glass. Find
the measure of the base of the window.
[tex]\huge{\color{red}{\fbox{\textsf{\textbf{Answer}}}}} [/tex]
To find :-
The base of a triangle glass window
Given :-
Height of the window = 48 inches
Area of glass = Area of traingle = 1728 square inches
There is a formula to find area of triangle
[tex]area = \frac{1}{2} \times base \times height \\ 1728 = \frac{1}{2} \times base \times 48 \\ 1728 = 24 \times base \\ \frac{1728}{24} = base \\ 72 \: inches = base[/tex]
Result :-
The base of triangle window of beach house is 72 inches.
32 divided by 1.6 how to work out
Answer:
20
Step-by-step explanation:
[tex]\frac{32}{1.6} =\frac{32}{\frac{16}{10}} =32*\frac{10}{16} =\frac{320}{16} =20[/tex]
So the answer is 20
What is the measure of gef
Please help photo attached
Answer:
Your answer would be 2.
Step-by-step explanation:
If you divided 20 by 10 you get 2.
That's your answer.
Hope this helps.
Help me, paid well just answer
Answer:
30.67
Step-by-step explanation:
[tex] \frac{9}{ \sin(x) } \: = \frac{16}{ \sin(115) } \\ \\ \frac{9}{ \sin(x) } \: = \frac{16}{ 0.91 } \: \: \\ \\ \frac{9 \times 0.91}{16} = \sin(x) \\ x = 30.67[/tex]
Why is circle 1 similar to circle 2?
Circle 1: center (2, 3) and radius 4
Circle 2: center (2, 3) and radius 12
Circle 1 and circle 2 have the same center.
Circle 2 is a dilation of circle 1 with a scale factor of 3.
Circle 1 and circle 2 are reflections of each other.
Circle 2 is a dilation of circle 1 with a scale factor of 8.
Simplify: 173‾√−295‾√+33‾√+115
The simplified form of the expression 173‾√−295‾√+33‾√+115 is; (1/73) (√-23/1947)
What is the simplified form of the expression?It follows from the task content that expression given is; 173‾√−295‾√+33‾√+115.
It therefore follows that the expression can be simplified as follows;
173‾√−295‾√+33‾√+1151/173 (√(115/-295×33))(1/73) (√-23/1947)On this note, it follows that the simplified form of the expression is; (1/73) (√-23/1947).
Read more on simplifying an expression;
https://brainly.com/question/723406
Write 5 1/6 as a decimal. Show your long division work
Answer:
5.1666666666667
To solve ✅
We know that...
[tex]5\frac{1}{6} = 5 + \frac{1}{6}[/tex]
So that means
[tex]\frac{1}{6}[/tex] = 1 ÷ 6
And with that info, 5 1/6 becomes
[tex]5 + (\frac{1}{6})[/tex]
_______________________________________________________
Solve by improper fractions ➗
We know from the last problem that...
[tex]5\frac{1}{6} = 5 + \frac{1}{6}[/tex]
Converting 5 as a whole number to a fraction, it becomes
[tex]5 = \frac{5}{1}[/tex]
Now it becomes...
[tex]\frac{5}{1} + \frac{1}{6}[/tex]
Since the fractions will not change, first find the whole, then multiply your improper fraction by the whole, and add the part
[tex]\frac{6}{6}\\\\ = (\frac{5}{1} * \frac{6}{6} ) + \frac{1}{6}[/tex]
Converting to improper fraction
[tex]\frac{30}{6}\\\\= \frac{30}{6} + \frac{1}{6}(part) = \frac{31}{6}[/tex] never add the denominators when they are equal.
We know that...
[tex]\frac{31}{6}[/tex] = 31 ÷ 6
Whose quotient is equal to
[tex]5.166[/tex]
________________________________________________________
Need more information? Ask in comments.
Hi can someone help me find domain and range
Answer:
Step-by-step explanation:
Domain is ( - ∞ , ∞ )
Range is [ 0 , 1 ] ∪ ( 2 , ∞ )
Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus
Answer:
Line LK is the dimameter
Step-by-step explanation:
A diameter is a line that goes through the center and goes from one end a the circle to the other end of the circle.
Hope this helps!!
need help with #10 :’)
the # is “Which of the following expressions is equivalent to 42 + 63?
A- 3(15+21)
B- 6(7+9)
C- 7(6+9)
D- 14(3+3)
8
Answer:
the answer is c
Step-by-step explanation:
first add : 42+63=105
so you need to solve the expressions until you find the one that equal the same amount.
start with the problem in the parenthesis then multiply.
you will find that C equals 105
6+9=15
15×7=105
ILL GIVE BRAINLIEST!! ANSWER PLEASEEE :,((
Last year, Dan opened an investment account with $6600. At the end of the year, the amount in the account had increased by 26.5%. How much is this increase
in dollars? How much money was in his account at the end of last year?
Answer:
5600*.065=364
5600+364=$5964 in the account at the end of the year.
Step-by-step explanation:
Answer:
22.5% = 22.5/100
(22.5/100)*6600
How much money was in his account at the end of last year?
$2200 plus the increase
brainliest?
please help
i cant do this
Answer:
42 sq. cm
Step-by-step explanation:
Answer: 42 sq. cm
Length of Big Rectangle: 7
Width of Big Rectangle 7+0.5+0.5 = 8
Area of Big Rectangle: 56
Area of Small Rectangle = 0.5*7 = 3.5
Area of 4 Small Rectangles = 3.5 *4 = 14
Shaded Area = Big Rectangle - 4 Small Rectangles = 56 - 14 = 42 sq. cm
if n=14 when m=4 find n when m=23
find the vaule of 3x + 2 when 7 +x =5
Answer:
=> -4
Step-by-step explanation:
7 + x = 5
=> x = 5 - 7
=> x = -2
Putting the value of x = -2 in equation 3x + 2
=> 3(-2) + 2
=> -6 + 2
=> -4
Answer:
-4
Step-by-step explanation:
when 7 +x =5 solve for x by subtracting 7
x=5-7 =-2
3x+2 = substitute (-2) for x
3( )+2
3(-2)+2
-6+2=-4
Your brother is 1/3 your age. Your sister is 4 years older than your brother. Your sister is 9 years old. Write and solve an equation to find your age a.
what is the equation helppppp
Answer:
Your age(a) is 15 in this case.
If your brother is 1/3 of your age, that means multiply your brother's age by 3
Your sister is 9, and is 4 years older than your brother. In that case, we now know that your brother is 5
With that information, we can put this into a valid equation.
------------------------------------------------------------------------------------------------------------
turn 1/3 into a flipped fraction, 3/1 which is equal to 3
your brother's age is 5, so the first value would be 5
5 times 3 is 15, so that means a is 15
[tex]5 * 3/1 = 15[/tex]
What is the greatest common factor of x^6 and x^9
Which of the following sets of ordered pairs defines a relation that
is NOT a function?
O {(1, 5), (5, 1), (7, 9), (9, 7)}
O {(6, 7), (8, 10), (13, 9), (21, 10)}
O {(2, 2), (3, 4), (5, 8), (12, 16)}
O {(5, 14), (5, 16), (7, 23), (11, 31)}
para lang po sa points hehe
During a 6-week weight-loss regimen, Tony lost weight at a rate of 1.1 pounds per day. How much did he lose after 16 days? After weeks?
Answer:
After 16 days: 17.6 pounds
After 6 weeks: 46.2
Step-by-step explanation:
1.1 x 16 = 17.60
42 x 1.1 = 46.2 (6 weeks x 7 days a week = 42)
The weight loss after 16 days will be 17.6 pounds and after 6 weeks will be 46.2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that during a 6-week weight-loss regimen, Tony lost weight at a rate of 1.1 pounds per day.
The weight loss after 16 days will be calculated as,
1.1 x 16 = 17.60 pounds
The weight loss after 6 weeks will be calculated as,
42 x 1.1 = 46.2 (6 weeks x 7 days a week = 42)
Therefore, the weight loss after 16 days will be 17.6 pounds and after 6 weeks will be 46.2.
To know more about an expression follow
https://brainly.com/question/14094721
#SPJ2
How to solve four hundred thirty five minus six hundred for teen
Answer:
- 179
Step-by-step explanation
There are numbers behind Zeros and they are known as negtive numbers