Answers
Answer:
Angle A = 65 degrees, Angle B = 78 degrees
Step-by-step explanation:
Since a triangle always has its vertices add up to 180 degrees to be a triangle, we can setup an equation on how to solve it. Adding all the vertices together into a formula to equal 180 degrees gives you 5x-5 = 180. Solving this equation will grant you an answer of x = 37 degrees, and taking this value and plugging it in for each requested angle is how to find the exact degree value. Angle A will just be 2(37) - 9, which ends up to be 65 degrees. Angle B is just 2(37) + 4, which becomes 78 degrees. (You can check the answer by taking all values and adding them together to equal 180. 78 + 65 + 37 = 180.) Hope that helps!
Answer: ∠A = 65° ∠B = 78°
The sum of all interior angles = 180°. So, set 180 equal to the angles you were given (in this case, 2x-9, 2x+4, and x), and solve for x.
180 = (2x-9) + (2x+4) + x (combine the like terms)
180 = 5x - 5 (isolate 5x by moving -5 to the other side)
5x = 180 + 5
5x = 185 (divide both sides by 5 to isolate for x)
x = 37°
Then, sub in the value of x (in this case, 37°) into ∠A and ∠B.
∠A = (2x-9) = 2(37)-9 = 65°
∠B = (2x+4) = 2(37)+4 = 78°
∴ ∠A = 65° and ∠B = 78°.
Related Questions
18 less than a number
Answers
Answer:
Step-by-step explanation:
The answer is simple
18 - 1 = 17
Answer:
18<b
Step-by-step explanation:
b can repersent any number and you can use any letter in replace of b.
Hope this helps!
Which transformation of AB will produce a line segment A’B that is parallel to AB
Answers
Answer:
Step-by-step explanation:
A
1x+2x = what?
Will mark brainiest whatever that mean
Answers
Answer:
3x
Step-by-step explanation:
Answer:
3x
Step-by-step explanation:
1+2=3
so 1X+2x=3x
PLEASE HELP ME!
Your health insurance premium is $102.13 each check. You get paid semi-monthly. How much is your insurance premium annually?
A. $2,451.12
B. $2,655.38
C. $1,225.56
D. $102.13
Answers
The annually premium for health insurance will be $2,451.12.
Option A is true.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The health insurance premium is $102.13 each check.
And, We get paid semi-monthly.
Hence, Monthly premium = 2 x $102.13
= $204.26
Since, 1 year = 12 months
Thus, The annually premium = 12 x $204.26
= $2,451.12
So, The annually premium for health insurance will be $2,451.12.
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can someone pls help me with the question i posted earlier asap pleasee
Answers
Answer:
I did so thanks for the points
Step-by-step explanation:
help! thank you so much
Answers
Answer:
There are no solutions. Hope this helps! :)
What is the equation of the line that passes through the point (-4, 2) and has a
slope of 1/4?
Answers
Answer: The equation of the line is y=1/4x + 3
Step-by-step explanation:
To get the equation, you have to set it up:
y=1/4x + b
Plug in the coordinates (-4, 2) next:
2=1/4(-4) + b
Solve:
2= -1 + b
add one on both sides:
3= b
Use the information to get the equation:
y=1/4x + 3
I hope this helps!!
Answer:
dfjhbgvdsasdfgf
Step-by-step explanation:
17. Find the value of x to
make the following equation
true.
n
Answers
Answer:
- 2
Step-by-step explanation:
Step 1:
[tex]\frac{n^{10} }{n^{12} }[/tex] = [tex](n^{x})^{1}[/tex] Equation
Step 2:
[tex]n^{10 - 12}[/tex] = [tex](n^{x}) ^{1}[/tex] Subtract the exponents
Step 3:
[tex]n^{-2}[/tex] = [tex](n^{x})^{1}[/tex] Subtract
Answer:
x = - 2
Hope This Helps :)
Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours. The equation 3t = 5(3 – t) can be used to find the time it took Stu to hike one way. How long did it take Stu to hike the trail one way? hours How long is the trail? miles What is the total distance Stu travelled? miles
Answers
Answer:
Time taken to travel at 3 miles = 1.875
Time taken to travel at 5miles = 1.125
Total distance = 11.25
Step-by-step explanation:
D = speed x time
Time = distance/speed
Time at 3 miles per hour and 5 miles per hour
T1 = d/3
T2 = d/5
Total time = 3 hours
T1+t2 = 3 hours
d/3 + d/5 = 3
= d(1/2+1/5) = 3
d(5+3/15) = 3
d(8/15) = 3
We cross multiply
8d = 45
d = 45/8
= 5.625 miles
Total distance = 2d
2x5.625 = 11.25 miles
Since d is now known
T1 = 5.625/3 = 1.875 hours also 1 hour 52.5 minutes
T2 = 5.625/5 = 1.125 hours = 1 hour 7.5 minutes
Total distance 2xd = 11.25
Answer:
the answer is
A. 1.875 hours
C. 5.625 miles
D. 11.25 miles
Step-by-step explanation:
magic
One of the common factors of 24 and 60 is 6. What is the GCF of 24 and 60? What does the value of the GCF represent?
Answers
Answer:
4
Step-by-step explanation:
The GCF of 24 and 60 is 12 and GCF represents the largest of the common factors.
The given two numbers are 24 and 60.
What is GCF?The "Greatest Common Factor" is the largest of the common factors (of two or more numbers).
Now, 24=2×2×2×2×3 and 60=2×2×3×5.
The GCF of 24 and 60 is 2×2×3=12.
Therefore, the GCF of 24 and 60 is 12 and GCF represents the largest of the common factors.
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Find the equation of the perpendicular bisect of the given segment by following these steps
1. Determine the slope of the given segment
Answers
Answer:
3/2
Explanation: Just did this on Edge
Someone please help
Answers
9514 1404 393
Answer:
622
Step-by-step explanation:
The n-th term of an arithmetic sequence is given by the formula ...
an = a1 +d(n -1)
where a1 is the first term (6), and d is the common difference (14-6=8).
Then the 78th term is ...
a78 = 6 + 8(78 -1) = 6 + 616 = 622
The 78th term is 622.
2. Tom Johnson worked 32 hours this week for $9.25 per hour. What is Tom’s gross pay for the week?
Answers
Answer:
$296.
Step-by-step explanation:
Gross pay is total pay without deductions, and none were mentioned anyways so $9.25 × 32 = $296.
Use Triangle ABC to find the trigonometric ratio.
tan B =
Answers
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[tex] \tan(B) = \frac{ \sin(B) }{ \cos(B) } = \frac{ \frac{8}{17} }{ \frac{15}{17} } = \frac{8}{15} \\ [/tex]
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The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of Tan(B) will be equal to 8/15.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
The value of Tan(B) will be the ratio of the sides AC and BC. Therefore, the value of Tan(B) can be written as,
Tan(B) = AC / BC
Tan(B) = 8/15
Hence, the value of Tan(B) will be equal to 8/15.
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I am stuck.can you solve it please.
Answers
Step-by-step explanation:
what i advice u is read about chords ,secant line ,diameter ,radius ,tangent line, inscribed angle, central angle
hope it helps
for any question comment me ❤❤❤
Solve: -3 + 7 -5 + (-10)
Answers
Answer:
it is -11 because use the cauculator lol
Answer:
-11
Step-by-step explanation:
use a calculator bruh
What is the slope of the line that passes through the points (4, 6) and
(-16, -18)?
Answers
Answer:
-3 / 5
Step-by-step explanation:
18-6 / -16-4
12 / -16-4
12 / -20
-3 / 5
Assuming the line is divided in equal parts. Identify the length of the
marked section of the line.
0
48
Answers
Jack sells cars. Last year he sold 30 cars. The next year Jack sold 48 cars. What is the percent of change?
Answers
Answer:
60% increase
Step-by-step explanation:
Take the new minus the original
48-30 = 18
Divide by the original
18/30
.6
Change to percent form
60% increase
y=11x+6y=11x+6 what is the x and y intercept
Answers
Answer:
y = 1 [ y intercept (0,1) ]
x = -5/11 [ x intercept : (-5/11,0) ]
Explanation:
First split this compound equation into two seperate ones:
y = 11x + 6y = 11x + 6 →
{ y = 11x + 6y → -5y = 11x → [ y = -11/5x ]
[ y = 11x + 6 ] }
________
Then find the x point of intersection by substitution.
y = -11/5x → y = 11x + 6
-11/5x = 11x + 6
-11/5x - 11x = 6
-66x/5 = 6
-66x = 30
-11x = 5
x = 5/-11
x = -5/11
_______
Then find the y point of interesection by substituting the x solution in one of the equations.
x = -5/11 → y = -11/5x
y = -11/5(-5/11)
y = 55/55
y = 1
The x-intercept is x = - 6/11.
The y-intercept is y = 6.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation.
We have,
y = 11x + 6
Now,
The x-intercept means y = 0.
So,
y = 11x + 6
0 = 11x + 6
11x = -6
x = - 6/11
The y-intercept means x = 0.
y = 11x + 6
y = 0 + 6
y = 6
Thus,
The x-intercept is x = - 6/11.
The y-intercept is y = 6.
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Use the graph shown to complete the following sentence.
when x = 1, then y = ___
Answers
Answer:
-2
Step-by-step explanation:
On the graph when the X value is equal to 1, the Y value is equal to -2.
The table shows the results of a survey to choose a new
school mascot.
Vx
Four hundred students participated in the survey.
Which expression would you use to find how many
students voted for the cougar?
What should be the new school mascot?
Cougar
10%
400 - 2
0400 +4
Eagle
15%
0400 - 5
Falcon
0400 + 10
50%
Panther
25%
Intro
Done
Answers
Answer:
400 divided by 10 Got it right in the assignment
Answer:400 divided by 10
Step-by-step explanation:
<3
PLESAE HELP NOW!!
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
Which statement best describes the relationship between the positions of the two players?
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Answers
Answer:
Ok so what you would do is find -6,3 and -6,-3 on the grid and pinpoint them.
Step-by-step explanation:
Have a brainly day!!
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
(oeerivona, please help me! quick!)
which angles of transformed figures have the same measure as ∠c in figure ABC?
Answers
Answer:
All of them
Step-by-step explanation:
It looks like the transformations that occurred here are reflections, translations, and rotations which are all rigid transformations. Rigid transformations conserve the angle measurements and side lengths of the corresponding image to the original one.
Find the slope between the given points. REMEMBER: Slopes must be simplified.
(8,3) and (-5,3)
Answers
Answer:
Slope = 0
Step-by-step explanation:
Slope = 0/-13 = 0
Solve for x: 7x + 15 = 38
twenty-three sevenths
fifty-three sevenths
23
53
Answers
2. A(n) __ is an individual number,
figure, or letter in a sequence.
Answers
Answer:
term of a sequence
Step-by-step explanation:
A tape diagram. There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus. 65% of the 800 students at North High School ride the bus. How many students ride the bus? 100 multiplied by is equal to 800. 65 multiplied by is equal to . out of students ride the bus.
Answers
Answer:
answer one is 8
answer two is 8
answer three is 520
answer four is 520
answer five is 800
Step-by-step explanation:
There are 520 students out of 800 ride the bus,
65% of 800 is 520,
100 multiplied by 8 is 800.
What are ratios and proportions?The majority of the explanations for ratios and proportions use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.
Given,
1: There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus.
let x student out of 800 rides the bus
so both conditions 65/100 and x/800 are in proportions,
65/100 = x/800
x = 800*65/100
x = 520
2: 65% of the 800 students at North High School ride the bus.
65% of 800 = 65/100 x 800
65% of 800 = 520
3: 100 multiplied by is equal to 800.
let x multiplied by 100 is 800
x*100 = 800
x = 800/100
x = 8
Hence 520 students out of 800 ride the bus,
65% of 800 is 520,
100 multiplied by 8 is 800.
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if 2x+10 does not equal 42 then x does not equal 16
Answers
Answer:
I can help if you like actually finished the full question.
Step-by-step explanation:
2(16) + 10 = 42
32 + 10 = 42
if this is a true or false question than this would be true.
You start at (7, 2). You move up 5 units. Where do you end?
Answers
Answer:
(7,7)
Step-by-step explanation:
Because going up would be moving along the y-axis, then you would add 5 to the Y value which was 2 so therefore, if you move up 5 you'll be at (7,7).:)
Answer:
(7,7)
Step-by-step explanation:
The second number is the y value so you add five to two and you get seven.