fine the value of x in this screenshot
Answer:
x = 125º
Step-by-step explanation:
Angles in a triangle add to 180º so:
180 - 42 - 83 = 180 - 125 = 55º
Angles on a straight line also add to 180º so to find x:
180 - 55 = 125º
x = 125º
Hope this helps.
The exterior angle theorem states that one exterior angle of a triangle will always be equal to the sum of the two opposite interior angles.
Solving the Questionx is an exterior angle of the triangle.
We are given two interior angles in the triangle. These are opposite of x.
According to the exterior angle theorem, we can solve for x by adding these two angles:
42 + 83 = 125Answerx = 125
Find the area of the right triangle.
Answer:
Step-by-step explanation:
Comment
The area of a right triangle is the product of the two smaller legs divided by 2.
Givens
Horizontal Leg = 4 units.
Vertical Leg = 8 units
Note. you count units by calling the right angle 0,0. As you move to the next square, count 1 then 2 then 3 ...
Solution
Area = 4 * 8 / 2
Area = 32 / 2
Area = 16
Answer
Area = 16
Find the roots of the quadratic equation x^2 + 7x + 10 = 0 by using the quadratic formula
Answer:
x = -2, -5
Step-by-step explanation:
x^2 + 7x + 10 = 0
The factors of 10 are as follows:
1, 10
2, 5
We can combine 2 and 5 to make 7
(x +2) (x + 5) = 0
One of these brackets must equal 0 to make the answer 0, as you are multiplying them together
If x + 2 = 0, x = -2
If x + 5 = 0, x = -5
Therefore, x = -2, -5
Hey there!
Answer :x = -5 or x = -2 ✅Explanation :QUADRATIC EQUATION:
ax² + bx + c = 0 where a ≠ 0
The sign of the discrimant (b² - 4ac) determines the number of real-number solutions :
If the discrimant is positive, the equation has two real-number solutions.If the discrimant is equal to zero, the equation has one real-number solution.If the discriminant is negative, the equation has no real-number solution.The solutions of the equation, also called roots, can be obtained with the QUADRATIC FORMULA :
[tex]x = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
---------------------------------------------------------------
▪️ x² + 7x + 10 = 0
(1) Substitute the letters in the general quadratic equation with their values in the given expression:
a = 1b = 7 c = 10(2) Determine the sign of the discriminant:
[tex]{b}^{2} - 4ac \\ \\ \Longrightarrow {7}^{2} - 4(1)(10) \\ \\ \Longrightarrow 49 - 40 \: \: \: \: \: \: \: \: \: \\ \\ \Longrightarrow \red{9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
The discrimant is positive ; the equation has two real-number solutions.
(3) Determine the roots of the equation :
a)[tex]x_1 = \frac{ - b \: - \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_1 = \frac{ - 7 - \sqrt{9} }{2(1)} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = \frac{ - 7 - 3}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = - \frac{10}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \green{ \boxed{ \red{x_1 = - 5}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
(b)[tex]x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 7 + \sqrt{9} }{2(1)} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_2 = \frac{ - 7 + 3}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = - \frac{4}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \red{ \boxed{ \green{x_2 = - 2}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Therefore, x = -5 or x = -2
▪️ Learn more about quadratic equations :
↣https://brainly.com/question/3843409
Multiple Choice Question 5 of 14 Is the quadrilateral a parallelogram, rectangle, rhombus, or square? Select all that apply.
A) square 5
B) rhombus
C) parallelogram
D) not enough info or none of these
E) rectangle
Answer: B, C
Step-by-step explanation:
All four sides are congruent, so it is both a rhombus and a parallelogram.
It is not a rectangle because we do not know if two of the sides are perpendicular. From this, we also cannot tell if it is a square.
Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, and only function f is negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, but both functions are negative. D. Both functions are increasing, but function g increases at a faster average rate.Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, and only function f is negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, but both functions are negative. D. Both functions are increasing, but function g increases at a faster average rate.
Both functions are increasing, but function g increases at a faster average rate.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Let f(x) = abˣ + c
At x = 0, f(0) = -10. Then we have
a + c = -10
Then similarly, by satisfying the above table in f(x) will be
[tex]\rm f(x) = - \dfrac{33}{5} \left ( \dfrac{1}{11} \right )^x - \dfrac{17 }{5} \\\\f'(x ) > 0[/tex]
Then we can say f(x) is an increasing function.
[tex]\rm g(x) = - 18 \left ( \dfrac{1}{3} \right )^x +2 \\\\g'(x ) > 0[/tex]
Then we can say g(x) is an increasing function.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
Answer:
The correct answer would be option D- Both functions are increasing, but function g increases at a faster average rate.
Hope this helps and good luck!
If an alcohol and an organic acid are chemically combined, the resulting compound is called a (an)
a. ester.
b. halogen derivative.
C. lipid.
d. aromatic hydrocarbon.
Find the measures of all of the angles.
Answer:
a:
1. ABC = 60°
2. BCA = 90°
3. CAB = 30°
b:
XVR = WVS = 125°
RVS = 55°
RST = VSU = 110°
RSV = UST= 70°
TUS = 39°
Step-by-step explanation:
a:
According this is a Right Triangle ( BCA = 90°) and the sum angles of a triangle is 180° :
90+5x+9x+6=180
14x=84
x=6
Then we have : ABC = 9(6)+6 =60
CBA = 5(6)=30
b :
Given that the size of the opposite angles to a vertex are equal and the sum of the interior angles of a triangle is 180 degrees, the size of all angles can be easily found.
2/5 of every person that attended the Oakland Athletics ball game received an A's ball cap.
If 23,400 people attended the game, how many received an A's ball cap?
Answer:
9360
Step-by-step explanation:
2/5 is 40%
40% of 23400 is 9360
If the graph of f(x) = x2, how will the graph be affected if it is changed to f(x) = 1/3x^2
A. The parabola will be wider.
B. The parabola will be translated up.
C. The parabola will be narrower
D. The parabola will be translated down
Answer:
Step-by-step explanation
the answer is A.
(Score for Question 2: ___ of 10 points)
2. A room is shaped like a trapezoid as shown.
(a) What is the area of the room? Use the formula . Show your work.
(b) Carpet costs $8.30 per square foot. How much will it cost to carpet the room? Show your work.
(c) Furniture covers 25% of the floor. How many square feet of carpet are covered by furniture? Show your work.
(PLEASE SHOW THE WORK ON HOW TO DO IT FOR EACH ONE)
Answer:
The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
What is the area of trapezoid?The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.
[tex]A=\dfrac{(a+b)h}{2}[/tex]
Here, (a and b) are the base sides of the trapezoid and (h) is the height.
A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,
[tex]A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2[/tex]
Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,
C=812×$8.30
C=$6739.6
Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,
[tex]A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2[/tex]
Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
Learn more about the area of trapezoid here;
https://brainly.com/question/1410008
#SPJ1
Find the distance between the two points. Round to the nearest tenth if necessary.
(1,5), (5,2)
A. 2.6
B. 1
C. 5
Answer:
d =5
Step-by-step explanation:
d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
at (1,5), (5,2)
d= [tex]\sqrt{(5-1)^2 +(2-5)^2}[/tex]
[tex]d = \sqrt{16 + 9} \\d=\sqrt{25}\\ d =5[/tex]
Therefore 5 is the distance.
Answer:
C
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (1, 5 ) and (x₂, y₂ ) = (5, 2 )
d = [tex]\sqrt{(5-1)^2+(2-5)^2}[/tex]
= [tex]\sqrt{4^2+(-3)^2}[/tex]
= [tex]\sqrt{16+9}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
Truman's father is designing a toy car ramp for him. His dad determined that the measure of angle x needs to be increased by 20
What is the measure of the new angle?
Answer:
20°
Step-by-step explanation:
Solution,
Here,
→(x+20°)+160°=180°[Sum of a straight line is 180°]
→x=180°-180°
→x=0°
Again,
→x+20°
→0°+20°
→20°
Answer:
I have the same problem as you and it told me that it’s 40
Step-by-step explanation:
Please help me with my question!
When we add two negative numbers, the result will be negative.
When we add a negative and a positive number, the result can be positive, negative, or equal to zero.
Take the absolute values of both numbers (disregard their signs). If the number that was positive is greater, then the result will be positive.If the number that was negative is greater, then the result will be negative.If the two numbers are equal, then the result will be 0.When we add two positive numbers, the result will be positive.
Solving the Questionj + k
These are both negative numbers. We know this because they are both to the left of 0. When we add two negative numbers, we will get a result that is less than 0.
Less than 0k + n
k is a negative number while n is a positive number.
Notice that on the number line, k and n appear to be at a equal distance away from 0. This means that if we were to take their absolute values, they would be equal.
This means that adding k and n would result in an answer of 0.
Equal to 0m + n
m is a negative number while n is a positive number.
Notice that on the number line, n appears to be further away from 0 than m is. m is very close to 0.
This means that the absolute value of n would be greater than that of m. The result would therefore be positive
Greater than 0k + m
Both these numbers are negative. Adding them would produce a negative result.
Less than 0Help pretty please?.?.?? Prize is 20 points :)
Answer:
7
Step-by-step explanation:
Because 2x-4 equals -8
4>-x-5 how do I solve for x? With the greater sign
Answer:
x>-9
Step-by-step explanation:
1. bring x over to the other side to make it a positive (4+x>-5)
2. bring 4 to the other side (x>-5-4)
3. simplify (x>-9)
Subset of prime numbers 1 to 20
Answer:
Step-by-step explanation:
{2, 3, 5, 7, 11, 13, 17, 19}
In a class test containing 25 questions, 2 marks are given for every correct answer and 1 mark is deducted for every incorrect answer.
a. Aryan attempts only 22 questions and gets all of them correct. What is his total SCore?
b. Dhruv attempts all questions but gets 15 answers correct. What will be his Score?
Answer:
A. 44 (if unanswered questions do not deduct 1 point)
B. 40
Step-by-step explanation:
22 x 2 = 44
25 x 2 - 10 = 40
: Find the midpoint of the segment with the following endpoints.
(5,-5) and (2,8)
Answer:
(3.5; 1.5).
Step-by-step explanation:
1) formula for midpoint:
[tex]x=\frac{X_A-X_B}{2}; \ y=\frac{Y_A-Y_B}{2};[/tex]
2) according to the formula above the required midpoint is:
x=0.5(5+2)=3.5; y=0.5(8-5)=1.5
Please solve (18 points)
Answer:
20.11 °
Step-by-step explanation:
31.1 ° + 35.8 ° + 90m + 44.2 ° = 20.11 °
- 16 + ( - 12 ) - ( - 40 )
Answer:
12
Step-by-step explanation:
Its 12 because when you do -16 + - 40.... then -12 you get =12 There you go
Step-by-step explanation:
Solution ,
Firstly we need to understand that
( - ) × ( - ) = ( + )
( + ) × ( + ) = ( - )
( - ) × ( + ) = ( - )
( + ) × ( - ) = ( - )
Question:
- 16 + ( - 12 ) - ( - 40 )
here ( + ) × ( - ) = ( - )
= - 16 - 12 - ( - 40 )
here ( - ) × ( - ) = ( + )
= - 28 + 40
here the ( + ) has greater variable so....
= + 12
hence 12 is the answer....
The table shown below gives the estimated number of text messages sent in the U.S. by year.
Approximately how many times as many text messages were sent in the U.S. in 2011 as in 2005?
Year Text messages sent in the U.S.
2005 118,000,000,000
2007 577,000,000,000
2009 1,198,000,000,000
2011 2,357,000,000,000
Choose 1 answer:
A.) 2*10^1
B.) 4*10^1
C.) 2*10^3
D.) 4*10^3
Answer:
A)
Step-by-step explanation:
2005: 118000000000
2011: 2357000000000
Option A) = 20
118000000000 * 20 = 2360000000000
2360000000000 is approximately close to 2357000000000
A bag contains 5 red marbles, 10 white marbles, and 9 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red?
Answer:
5/24
Step-by-step explanation:
Number of red marbles = 5Number of white marbles = 10Number of blue marbles = 9Total number of marbles = 24P(getting red marbles) = (Number of red marbles)/(Total number of marbles)P(getting red marbles) = 5/24Baseballs are sold 8 to a box. The
league is planning on having 18
games. If they need 3 balls for
each game, how many boxes will
they have to buy?
Number 5 please i need your help
Answer: a) 7mm b) 18mm c) 49mm
Step-by-step explanation:
There are 10 mm in 1 cm, so to find how many mm the measurements are, multiply the measurement in cm by 10.
a) 0.7 cm
0.7 cm x 10 mm per cm = 7 mm
b) 1.8 cm
1.8 cm x 10 mm per cm = 18 mm
c) 4.9 cm
4.9 cm x 10 mm per cm = 49 mm
In the diagram AB is parallel to CD. What is the term for the line that intersects the two parallel lines? A) transversal B) perpendicular C) normal D) bisector
Answer:
A) transversal
Step-by-step explanation:
The vocabulary term you're looking for is "transversal."
A transversal crosses parallel lines (or ones that are nearly parallel in the vicinity of the transversal).
Please solve (18 points)
Answer:
Ꮎ = 72.123°
Step-by-step explanation:
AC² = BC²+ AB² - 2BC AB x cos (ABC) 4.52 4.12 +3.52 - 2 x 4.1 x 3.5 x cos (8) =
cot Ф = 2
please please please help
Answer:
Radians:Ф=0.46364... +π n
Degrees:Ф= 26.56505 + 180° n.
Step-by-step explanation:
Apply trig inverse properties
Ф= arccot(2) +π n
Ф=0.46364... +π n
Radians:Ф=0.46364... +π n
Degrees:Ф= 26.56505 + 180° n.
What time will it be after these minutes have passed? 10 minutes
Answer:
21 minutes
Step-by-step explanation:
hope it helps you
the backyard is 20 inches long and 37 inches wide. What is the area of the backyard.
- - - - - - -- - - - - - - - - - - - - -- -
[tex]\diamond\large\textsf{\textbf{\underline{Given\:question:-}}}[/tex]
The backyard is 20 inches long and 37 inches wide. What is the area of the backyard?
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
We are given the backyard's length (20 inches long) and the backyard's width (37 inches wide).
We are asked to find the area of the backyard, which can be found using the following formula:-
[tex]\boxed{\bold{A_{(rectangle)}=LW}}[/tex]
Where:-
A=Area of rectangleL=Length (20 inches)W=Width (37 inches)
Substitute the values:-
[tex]\boxed{\bold{A=20*37}}[/tex]
On simplification,
✳︎ [tex]\boxed{\bold{A=740\:in^2}}[/tex], which is our final answer.
Good luck with your studies.- - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - -
Answer: 37·20=740
Step-by-step explanation:
Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 1012 inches by 1012 inches. Is he correct? Use the drop-down menus to explain your answer.
Stephan
Choose...
have enough wood to make the tray because he has
Choose...
square inches, which is
Choose...
than he needs to make the tray,
Choose...
square inches.
Answer:
i. No, Maurice statement is wrong
ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.
Step-by-step explanation:
Stephan's piece of wood measures; 18 inches in length and 12 inches in width. Since the piece of wood has a shape of a rectangle,the area of the piece of wood = length × width = 18 × 12 = 216 square inchesAccording to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches. The base has the shape of a square, so that; the area of the base = length × width = = 1012 ×1012 = 1024144 squared inchesThis shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.