Look at the triangle shown below.
107º
(2x - 5)º
xº
Which equation can be used to find the value of x?
O x + 2x - 5 = 107
O 107 + 2x - 5 = 180
107 + 2x - 5 + x = 180
X + 2x -5 = 180
Answers
Answer:
C. 107 + 2x - 5 + x = 180
Step-by-step explanation:
The sum of interior angles of a triangle = 180°
Therefore, to find x, we would state that all three angels indicated in the figure above equals 180°.
Thus:
107 + 2x - 5 + x = 180
We can solve and find the value of x using the equation above
Answer:
C
Step-by-step explanation:
Related Questions
Solve the following equation by first writing the equation in the form a x squared = c: t squared minus 49 = 0 a. t = 49 b. t = plus-or-minus 49 c. t = 7 d. t = plus-or-minus 7 Please select the best answer from the choices provided A B C D
Answers
The best answer is t = 7. Option C
What is a quadratic equation?A quadratic equation is simply defined as an equation that could be rearranged in standard form.
It is also described as an algebraic equation having the highest exponent of as 2.
It is so arranged such that;
x represents an unknown valueVariables, a, b, and c represent known numbersAlso, a is not equal to 0, a ≠ 0It is important to note that the three methods of solving quadratic equation are;
FactorizationUsing the quadratic formulaUsing completing the square methodFrom the information given, we have that the form is;
x² = c
Given t squared minus 49 = 0
First, represent mathematically
t² - 49 = 0
Now, collect like terms, we have;
t² = 49
Take square root of both sides
t = √49
t = 7
Hence, the equation is t = 7
Learn more about quadratic equations here:
https://brainly.com/question/1214333
#SPJ1
Add: 2y+1/y-3+y+2/6y 1.Find the LCD. LCD= (y-3)(6y) 2. Multiply to create common denominators. 2y+1/y-3 (6y/6y)= 12y^2+6y/(y-3)(6y)
Answers
Answer:
C
Step-by-step explanation:
edge 2020
C 12y^2+5y-6/(y-3)(6y)
How do you find the difference between two different numbers?
Answers
Subtract the smaller of the two numbers from the larger of the two numbers to discover the difference between them.
Subtract the smaller of the two numbers from the larger of the two numbers to discover the difference between them. The difference between the two numbers is the sum's product.
Subtracting two integers from each other is a type of subtraction.
The process for determining the difference between two decimals and two whole numbers is the same.
We only add a new step.
Finding the difference between 8.967 and 7.2, for instance, could appear more difficult.
To give them all the same amount of decimal places, we must first convert each decimal.
7.2 becomes 7.200 as a result.
The computation may now be done as before:
8.967 - 7.200 = 1.767
Therefore, there is a 1.767 discrepancy between these figures.
In order to find the difference between two fractions, simplify and find the lowest common denominator of each fraction.
For more questions on Subtraction
https://brainly.com/question/28467694
#SPJ4
m(x)=−2(x−3)(x−9) solve for y-intercept
Answers
Answer:
(0, -54)
Step-by-step explanation:
We find the y-intercept by plugging in 0 for x:
[tex]y=-2(x-3)(x-9)\\y=-2(0-3)(0-9)\\y=-2*-3*-9\\y=6*-9\\y=-54[/tex]
In the diagram, two circles, each with center $D$, have radii of $1$ and $2$. The total area of the shaded region is $\frac5{12}$ of the area of the larger circle. How many degrees are in the measure of (the smaller) $\angle ADC$
Answers
Angle ADC = 120 degrees.
What is area of sector?A certain portion of a circle that is created based on two radius of the same circle and one arc. Area of sector for a circle with radius r is given by π r²Ф/ 360°
What is the angle of ADC in the smaller circle?
Given, two circles of radius 1 unit and 2 unit which have same center D.
We know area of a circle = π r²
Area of larger circle = π 2² = 4π
it is said that the total area of the shaded region that means area of a particular sector is 1/12 of the area of the larger circle.
area of sector, ACD = 1/12 ×4π
as per the question, the ACD sector is located in the smaller circle that has radius 1 unit.
formula for area of sector ACD = π r² ×Ф/360°
where,Фis the central angle of ACD sector
and Ф = ADC
from the above statement, 4π/12 = π r² ADC/360
ADC = 1/3×360°
ADC = 120 degrees
To learn more about sector area of circle visit:
https://brainly.com/question/29098110
#SPJ4
Please help! Due Soon - You will get 30 points and brainliest! - 4 pictures in total - links=reported - thanks!
Answers
Answer:
(the last one) i think its B
Step-by-step explanation:
A botany student drew a sketch of a birch tree using a scale of 1 inch:2 meters. Find the
actual height of the tree, if it measures 3 inches in the sketch.
Answers
Answer:
6 meters
Step-by-step explanation:
^_^
Calculate the slope of the line.
m=
Answers
Answer:
m=4
Step-by-step explanation:
look at the traingle formed with line with points (6,5) and (4, -3)
look at change in y (how tall the triangle is) and change in x (the base of triangle)
change in y=8
change in x=2
m=rise/run also known as change in y/change in x
=8/2
=4
note that this is a positive gradeint line
How many 1/3 cup servings are there in 10 cups of cereal?
Answers:
30
1/10
1/3
9
Answers
Answer:
30
Step-by-step explanation:
PLEASE HELP! WILL GIVE BRAINLIEST!
Khan Academy - Solve Similar Triangles (advanced)
Solve for X.
Answers
Answer:
x = 3[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
4 + 6 = 10
[tex]\frac{2}{6}[/tex] = [tex]\frac{x}{10}[/tex]
6x = 20
x = 3[tex]\frac{1}{3}[/tex]
How many solutions does y 2x 5 and 8x 4y =- 20 have?
Answers
A system of linear equations: y + 2x = -5 and 8x + 4y = -20 has infinitely many solutions.
The 3 possible solutions of a linear system are:
- Unique or one solution
- Infinite solutions
- No solution
If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.
The given linear system is:
y + 2x = -5 ....... (equation 1)
8x + 4y = -20 ..........(equation 2)
Rearrange equation 1 to:
2x + y = -5
Multiply both sides by 4:
8x + y4 = -20
Hence, equation 1 is equivalent to equation 2. Hence, the given linear system has infinitely many solutions.
Learn more about linear system here:
https://brainly.com/question/3654260
#SPJ4
PLZ I NEED HELP NOW THANKS
Answers
Answer:
1240.4 mm²
Step-by-step explanation:
SA of Pentagonal pyramid:
(as)(5/2) + (sl)(5/2)
↑ ↑
base area lateral area
_____________________
a: apothem (in-radius) length, s: side length.
l: slant height.
______________________
Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.
Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.
A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).
With this information the surface area is:
(16)(20)(5/2)mm + (440.4 mm²) →
800 mm² + 440.4 mm² =
1240.4 mm²
Please help me with this question:
What is 2x-2?
Answers
Answer:
as a factor 2(x-1) this should help or be the correcr answer
It’s -4
Explanation:
y = -11x - 25 ...........(i)
y = 5x - 7 ...............(ii)
Answers
Answer:
3/2
Step-by-step explanation:
5x-7=-11x-25
5x+11x=-25+7
16x=18
x=18/16
x=3/2
To the nearest square centimeter, what is the area of the shaded sector in he circle shown below? Radius= 12 cm, angel = 110 degrees
Answers
Answer:
138.23 cm²
Step-by-step explanation:
The formula for the area of a sector is given as:
θ/360 × πr²
θ = 110°
Radius = r = 12 cm
Hence
Area of a sector = 110/360 × π × 12²
= 138.23007676 cm²
Approximately, Area of a sector = 138.23 cm²
Why are the acute angles of an isosceles right triangle always 45?
Answers
An isosceles right triangle has two sides that are equal in length; this means that the angles opposite the sides must also be equal. Since the triangle is a right triangle and the sum of angles of a triangle is 180 degrees, the angles must each be 45 degrees.
The acute angles of an isosceles right triangle are always 45 because of the Pythagorean Theorem. This theorem states that in a right triangle the sum of the squares of the two sides adjacent to the right angle (the legs) is equal to the square of the hypotenuse. Since an isosceles right triangle has two equal legs, and the hypotenuse is the longest side, the two legs must both have the same length, and the angles opposite from these sides must also be the same. This means that the two acute angles in an isosceles right triangle must both be 45 degrees.
Learn more about isosceles triangle here
https://brainly.com/question/2456591
#SPJ4
cans someone please help me
Answers
16x8= rectangle area
(6x4)/2 = triangle area
Sum of two areas= 140
Answer:
8 x 16 = 128 (area of rectangle)
Area of triangle:
16 - 12 = 4
6 x 4 = 24
24 divided by 2 = 12 (area of triangle)
Now lets add both areas:
128 + 12 = 140 ft2 is your answer.
A circle has a radius of 6. An arc in this circle has a central angle of 48º.
What is the length of the arc?
Either enter an exact answer in terms of or use 3.14 for and enter your answer as a decimal.
Answers
Answer:
Step-by-step explanation:
48 * [tex]\pi[/tex] / 180 = 0.837758041
2. Tell whether the segment lengths form an acute, right, or obtuse? 9, 12, 17
Answers
Answer:
obtuse angled triangle
Step-by-step explanation:
Given 3 segments , say a, b and c , with c the longest then
• If a² + b² = c² ⇒ right triangle
• If a² + b² > c² ⇒ acute triangle
• If a² + b² < c² ⇒ obtuse triangle
Here c = 17 and 17² = 289
9² + 12² = 81 + 144 = 225
Since 225 < 289 , then triangle is obtuse
A scientist studies the population of an insect colony. She begins her study with 10,000 insects in the colony and measures the population of the colony
each year. She uses the given formula to model the insect population, P, é years since the beginning of the study.
P= 10,000(1.08)
By what percent does the Insect population grow each year?
%
Answers
Carly is telling Stephanie about her parents' divorce. Which body language would best display that Stephanie is actively listening to Carly?
Returning text messages as Carly speaks.
Turning her body toward Carly.
Stopping Carly's story to ask questions.
Focusing on people in the background.
Answers
Answer:
Turning her body toward Carly.
Step-by-step explanation:
Since turning someone's body towards the speaker means that they are actively paying attention. If she would return text messages, it would make it look like Stephanie doesn't care at all, same thing for focusing on people in the background. If she were to stop Carly's story to ask off-topic questions, it would also make Stephanie seem ignorant.
The square on the right is a scaled copy of the square on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
8
8
4
Answers
Writing the whole number in the numerator and 1 in the denominator. Fraction in simplest form is 8
In the simplest form, how do you write an answer as a fraction?How to Find the Most Basic Form
Determine the GCF of the fraction’s numerator and denominator.
Divide the created GCF by the numerator and denominator.
Fill in the blanks with the simplified fraction of the supplied fraction.
The most basic form, If the top and bottom have no common components other than 1, the fraction is in its simplest form. In other words, the top and bottom cannot be divided any further and still remain full numbers. You may sometimes hear the phrase “lowest terms” when referring to the simplest form.
To learn more about fraction to refer:
https://brainly.com/question/10354322
#SPJ1
HELP!!! NO LINKS PLEASE!!!
a) A designer has a circular tablecloth with radius 0.5 m. He wants to sew a fringe around the cloth. The fringe is sold by the tenth of a meter.
(i) What length of fringe is needed?
(ii) One meter of fringe costs $4.70. How much will the fringe cost?
b) A semicircular mat has a diameter of 18 m. What is the area of the mat?
Answers
Step-by-step explanation:
a) (i) length = 2(pi)r = 2(3.14)(.5 m) = 3.14 m
(ii)3.14 m × ($4.70/m) = $14.76
b) A = (pi)r^2 = (3.14)(18 m)^2 = 1017.9 m^2
Find the mean, variance and standard deviation for the probability distribution given below:
X -1 3 9 12
P(X) 0.587 0.115 0.21 0.088
A. Mean = B. Variance = C. Standard Deviation =
Answers
The mean, variance, and standard deviation for the probability distribution given are A. Mean = 5.5; B. Variance = 13.875; C. Standard Deviation = 3.722.
The mean, variance and standard deviation of the probability distribution can be calculated using the formula. The mean is calculated by summing up the product of all the values and their respective probabilities and then dividing it by the total probability. In this case, the mean is calculated as:
(1*0.587 + 3*0.115 + 9*0.21 + 12*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 5.5.
The variance is calculated by summing up the product of the squares of the values and their respective probabilities and then dividing it by the total probability. In this case, the variance is calculated as:
(1^2*0.587 + 3^2*0.115 + 9^2*0.21 + 12^2*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 13.875.
The standard deviation is the square root of the variance and it is calculated as √13.875 = 3.722.
Learn more about Standard Deviation here:
https://brainly.com/question/475676
#SPJ4
Solve for x. *they are similar* NO BOTS OR ELSE U WILL BE REPORTED
Answers
Answer:
x = 5
Step-by-step explanation:
i will insert an image of my work below
1. True or False: The solution you get from substitution is the same as the solution you would get
from graphing. *
False
True
2. For substitution, we want *
(1 Point)
a. both equations to be in standard form Ax + By = C
b. equations with negative numbers
C. at least one equation to be y= or x=
d. equations with positive numbers
Answers
answer:
my answer to the first one would be false
my answer to the second would be a
Taylor drives 7.5 miles in 10 minutes. If she drove two hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Taylor drive in total?
Answers
Answer:
200 is your answer. (insert more text to be helpful here)
If { 4x+y=13
x−y=2
, then y=
Answers
Answer:
2.5
Step-by-step explanation:
Taking eguation i
4x+y=13
x= 13-y/4
Taking equation ii
x-y = 2
Substituting the value of x in eq i from ii
x- y =2
13-y/4- y=2
13-y-y=2×4
13-2y =8
-2y=8-13
y=-5/-2
Therefore y=2.5
Seven netball teams played in a school's competition. Each team had 7 players. If 3/7 of the number of players were disqualified for poor conduct, how many pupils were qualified?
Answers
We know that there are seven teams with seven players each. This is 49 players total. We know that the fraction 3/7 must be equal to x/49. Since we multiples the denominator by 7, we have to multiply the numerator by 7 too. This is 3 x 7 =21. Therefore, 21 out of the 49 players were disqualified. However, the question wants to know how many qualified, so we must subtract. 49-21=28 players. Hope this helped!
Select the correct answer.
How many solutions does this system of equations have?
y = 2x + 5
y = x^3 + 4x^2 + x + 2
A. No solution
B. 1 solution
C. 2 Solutions
D. 3 Solutions
Answers
An equation is formed of two equal expressions. The number of solutions that the given system of equation will give is 3. Thus, the correct option is D.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The number of solutions that the system of equations will have can be found by plotting both the equation on the graph.
Since the point at which the graph intersects is the solution of the system of equations.
Hence, the number of solutions that the given system of equation will give is 3. Thus, the correct option is D.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ2