Write and solve an equation to find the value of x and the missing angle measures.
1.
2.
6x
(4 + 5x)
30°
(x + 2)
3.
Answers
Answer:
Step-by-step explanation:
1). Since, both the angles are vertically opposite angles,
Measure of both the angles will be same.
6x = 30
x = 5
2). Since, both the angles are the linear pair of angles,
(4 + 5x)° + (x + 2)° = 180°
6x + 6 = 180
6x = 180 - 6
x = [tex]\frac{174}{6}[/tex]
x = 29
Therefore, (4 + 5x)° = 4 + 5(29)
= 149°
And (x + 2)° = (29 + 2)
= 31°
3). Since, both the angles are linear pair of angles,
5x° + (3x + 12)° = 180°
8x + 12 = 180
8x = 180 - 12
x = [tex]\frac{168}{8}[/tex]
x = 21
Therefore, 5x° = 5(21)
= 105°
(3x + 12)° = 3(21) + 12
= 75°
Related Questions
PLEASE HELP ASAP is this relationship linear, exponential, or neither?
Answers
Answer:
neither
gfhhhufkufjkg
please help me someone
Answers
Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows. # of movies Frequency 0 5 1 9 2 5 3 5 4 1 (a) Find the sample mean x. (Enter your answer to two decimal places.) x = (b) Find the approximate sample standard deviation, s. (Round your answer to two decimal places.) s =
Answers
Answer:
a) x = 1.52
b) s = 1.16
Step-by-step explanation:
We have that:
5 students watched 0 movies.
9 students watched 1 movie.
5 students watched 2 movies.
5 students watched 3 movies.
1 student watched 4 movies.
(a) Find the sample mean x.
Sum divided by the number of students. So
[tex]x = \frac{5*0 + 9*1 + 5*2 + 5*3 + 1*4}{5 + 9 + 5 + 5 + 1} = \frac{38}{25} = 1.52[/tex]
(b) Find the approximate sample standard deviation, s.
Standard deviation of the sample.
Square root of the sum of the squares of the values subtracted from the mean, divided by the sample size subtracted by 1. So
[tex]s = \sqrt{\frac{5*(0-1.52)^2 + 9*(1-1.52)^2 + 5*(2-1.52)^2 + 5*(3-1.52)^2 + 1*(4-1.52)^2}{24}} = \sqrt{\frac{32.24}{24}} = 1.16[/tex]
Faith wants to use the formula C(f) = 59(f - 32) to convert degrees Fahrenheit, f, to degrees Celsius, C(f). If Faith calculated C (68), what would her result be?
Answers
Answer:
I don't understand what the problem is saying... 2124...95...
Step-by-step explanation:
what is the standard form of y= 2/3x + 6
Answers
Answer: 2x/3 +6
Step-by-step explanation: You have to combine 2/3 and x to get 2x/3+6
-2x+3y=18
Explanation:
y=2/3x+6 multiply both side by 3 to get rid of fraction
3y=2x+18 flip
2x+18=3y
2x-3y= -18 multiply both side by -1
-2x+3y=18
OF FRACTIONS
EXERCISE 8-2
Solve these problems. Show your work,
(1) An interior wall of a house is made up of
2 x 4 studs covered on each side with 3/4 in.
wallboard. If the actual width of a 2 x 4 stud
is 3 5/8 in., what is the total thickness of the
wall?
Answers
Answer:
qsyyyyyy ;-;
A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 6 feet
in length. How many 18-inch pieces can the dressmaker cut from 10 of these rolls of
ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in
total?
Answers
If the dress maker needs 18 inch pieces you divide to 720 by 18.
720 divided by 18 will give you 40 pieces.
Final answer:
The dressmaker will get 40, 18-inch pieces of ribbon from 10, 6 foot rolls.
What is a simplified form of the expression 7x – 5(x + 1)?
Answers
Answer:2.5
Step-by-step explanation:
i hope this helps
Help me as much as you can please :)
Answers
Answer:
Step-by-step explanation:
1). System of equations is,
-2x - y = -22 -------(1)
4x - 8y = 4 -------(2)
By satisfying these equations with the given point (9, 4),
Equation (1)
-2(9) - 4 = -22
-18 - 4 = -22
-22 = -22
True.
Equation (2)
4(9) - 8(4) = 4
36 - 32 = 4
4 = 4
True.
Given point lies on both the equations.
Therefore, the given point is the solution of the system of equations.
2). 3x - 3y = 27 -----(1)
-2x + 9y = -11 ------(2)
Satisfy the equations with the given point (-10, -1)
Equation (1)
3(-10) - 3(-1) = 27
-30 + 3 = 27
-27 = 27
False.
Equation (2)
-2x + 9y = -11
-2(-10) + 9(-1) = -11
20 - 9 = -11
11 = -11
False.
Therefore, the given point is not the solution of the system of equations given.
If 5% of the students transferred into the school, how many students transferred in if there is
a total of 60 students? *
Answers
Answer: 3
Step-by-step explanation: 60 + 5% is 63 so if you subtract the 3 instead of adding it you get 57 meaning 3 of the 57 are transfer students
Question 4 ( i-Ready )
The system of equations 2y = 14 - 2x and y = -x + 7 is
graphed. What is the solution to the system of equations?
A. (0,-7)
B. No solution
C. (0,0)
B. Infinitely many solutions
Answers
Answer:
Step-by-step explanation:
Note that the two equations are equivalent.
2y = 14-2x can be rearranged to y = -x+7, which is the same as the second equation. What you're looking is one line on top of the other.
Every shared point is a solution. Since there are infinitely many points on a line, and these lines share every point, there are infinitely many solutions.
The base of a triangle is 7 meters longer than the height of the triangle of the area of the triangle is 22 square meters what are the base and height of the triangle
Answers
Answer:
[tex]given \\ heigh(h) = 7m \\ area \: of \: triangle \: (a) = 22m {}^{2} \\ base(b) = x \\ a = \frac{1}{2} \times h \times b \\ \frac{a}{h} = \frac{1}{2} \times b \\ b = 2( \frac{a}{h} ) \\ b = 2( \frac{22m {}^{2} }{7m} ) \\ b = 6.29m \\ base = 6.29m[/tex]
X + 4 < 6 help.......
Answers
Answer:
x<2
Step-by-step explanation:
Hello There!
Our objective for this problem is to isolate the variables
To do so we use inverse operations
x+4<6
subtract 4 from each side
4-4 cancels out
6-4=2
we're left with
x<2
Step-by-step explanation:
It is just like a normal x equation just with an inequality. So for now, just represent the < as and =
so we have x+4=6
subtract 4 from both sides
x+4-4=6-4
x=2
Now we insert the <
x<6
so all values for x are all less than 6
Hope that helps :)
In ΔEFG, the measure of ∠G=90°, GE = 2.1 feet, and EF = 4.8 feet. Find the measure of ∠F to the nearest degree.
Answers
Answer:
26 degrees
Step-by-step explanation:
Answer:
2.6 degrees
Step-by-step explanation:
WILL MARK BRAINLYEST AND 40 POINTS
Answers
Answer:
B
Step-by-step explanation:
Answer:
Distributive Property
Step-by-step explanation:
This is distributive property because you are distributing the 5 by multiplying it by the variables in the parenthesis.
Circles.
Answers
Answer:
Step-by-step explanation:
b
Pls pls pls pls I will mark you Brainest.
Answers
Answer:
1) 2
2) 3
3) 4
4) 5
Step-by-step explanation:
Plug in the c variables in the table into the equation to find w.
elmedico ha recetado a luis un frasco de 24 vitaminas con las siguientes indicaciones. La semana 1 debe tomar la cuarta parte de las vitaminas, la semana 2 debe tomar 2/3 de las vitaminas restantes y la semana tres el resto ¿cuantas vitaminas toma cada semana?
Answers
Answer:
I don't know this answer
Answer:
Ya no hay
Step-by-step explanation:
What is the name of a 16-sided polygon?
heptadecagon
16agon
16-gon
decahexagon
Answers
What’s the equation of a line with an undefined slope passing through (-1,7)
Answers
Answer:
y=7
Step-by-step explanation:
Help me out please ??
Answers
David drove 580 km on 7 hour journey. on the city roads he drove 60km/h and on the he drove 100km/h. How long did he drive at each rate?
Answers
Answer:
3 hours on the city roads and 4 hours on the other roads
Step-by-step explanation:
580 (total miles driven) - 400 (4 hours of driving 100km/h) = 180 (miles left)
180 (miles left to drive) / 60 (km/h) = 3 (hours driven at the speed of 60km/h)
I hope this helps :)
please help does anyone know this
answer choices
1. 65
2. 20
3. 35
4. 70
Answers
Answer:
70
Step-by-step explanation:
Hello There!
So if you didn't know an exterior angle of a triangle is equal to the two opposite interior angles of a triangle
So basically
∠XYZ=∠WXY+∠XWY
so to find ∠XWY we subtract the value of ∠WXY (45) from the value of the exterior angle (115)
115-45=70 so ∠XWY=70
Answer:
?+45=115° sum of two interior angle of the triangle is equal to the exterior angle
<XWY=115-45=70
3. A new restaurant in town is surveying residents to determine how much they typically pay for a meal out. Which of the following best describes a random sample? A. They go door-to-door in a nearby neighborhood. B. They randomly select 50 residents of a local nursing home. C. They call 200 randomly selected town residents. D. They ask patrons if the price was reasonable.
Answers
Answer:
C
Step-by-step explanation:
A is specific to a single neighborhood
B is specific to a single nursing home
D is specific to only patrons
When looking for a random sample, in this case - the town, you have to consider how to select based on the entire sample.
Maggie Jay owns her own car. Her June monthly interest was $250. The rate is 13 1/2 percent. Jay's principal balance at the beginning of June is: (Use 360 days)
Answers
Answer:
the principal balance at the beginning of June is $22,222.22
Step-by-step explanation:
The computation of the principal balance at the beginning of June is shown below:
Principal balance = Interest paid ÷ (Interest Rate ÷ 12 Months)
= $250 ÷ (13.5% ÷ 12)
= $22,222.22
Hence, the principal balance at the beginning of June is $22,222.22
2.
Find the Area of the Shaded Region. (15 pts)
2 m
7 m
12 m
10 m
Answers
Answer:
120 - 14 = 106
Step-by-step explanation:
7 x 2 = 14
10 x 12 = 120 therefore you,
120 - 14 = 106
The area of the shaded region is 106 m².
We have,
The area of the rectangle:
= length x width
From the figure,
Bigger rectangle dimensions:
Length = 12 m
Width = 10 m
Smaller rectangle dimensions:
Length = 7 m
Width = 2 m
Now,
The shaded region.
= Area of the bigger rectangle - Area of the smaller rectangle
= 12 x 10 - 7 x 2
= 120 - 14
= 106
Thus,
The area of the shaded region is 106 m².
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ2
One interior angle of a triangle is 30⁰. The other angle measures are x⁰ and y⁰. Which of the following could be the values of x and y? Select ALL that apply
Answers
Step-by-step explanation:
One interior angle of a triangle = 30⁰ .
The measure of other two are x and y .
We know that the angle sum property of a triangle is 180⁰ .
=> x + y + 30⁰ = 180⁰
=> x + y = 180⁰ - 30⁰.
=> x + y = 150⁰.
Possible solution set of x and y are ,
(1,149) (2,148 ) ...... (148+2) & (149+1)
Basically we are here decreasing y and increasing x to obtain the values .
Hope it helped !
x-14=-9 what is the solution to this equation?
Answers
Answer:
x=5
Step-by-step explanation:
-9+14=5
Answer:
5
Step-by-step explanation:
5-14=-9
x=-9=14
x=5
Can someone answer this question if you know the answer.
Answer choices:
A. 1/20
B. 40%
C. 1/40
D.50%
Answers
Answer:
It's C
Step-by-step explanation:
I need help with this question
Answers
Answer:
V would go to (6,-3), S (4,-2), T (4,2), U (6,6)
Step-by-step explanation:
move each point right 10 points, and down 2 points. :)
Best luck with your studying