Examine triangle ABC.
Triangle A B C. Angle B is 79 degrees. Exterior angle to A is (x + 5) degrees and the exterior angle to C is x degrees. What is the value of x?
37
48
127
138
Answers
Answer:
x=127
Step-by-step explanation:
total sum of all angle of triangle is 180 degree
Now,
taking angle A let interior angle be Y
taking angle C let interior angle be Z
Again, In angle A
the sum of interior angle and exterior angle is 180 degree being staright line
Or, y+(x+5)=180
or,x+y=180-5
or, x+y=175
or,y=175-x --------eqn 1
In angle C
the sum of interior angle and exterior angle is 180 degree being staright line
or, x+z=180
or, z=180-x ----------eqn2
Again, In triangle ABC
total sum of all angle of triangle is 180 degree.
Angle A+ Angle B + AngleC=180
Or, y+79+z=180 -------eqn3
putting the value of eqn-1 and eqn-2 in eqn-3
Or, 175-x+79+180-x=180
Or, 431-180= 2x
Or, 254÷2=x
hence X= 127 degree
Answer:
c127
Step-by-step explanation:
Related Questions
the prices of stock A at 9am was $12.18 since then the price has been increasing at the rate of $0.06 each hour. At noon the price of stock B was $12.68. It begins to descrease at the rate of $0.09 per hour. If the 2 rates continue in how many hours will the prices of the two stocks be the same?
Answers
Answer:
3.33hours
Step-by-step explanation:
Where the number of hours = h
the prices of stock A at 9am was $12.18 since then the price has been increasing at the rate of $0.06 each hour.
The Algebraic expression =
$12.18 + $0.06 × h
12.18 + 0.06h
At noon the price of stock B was $12.68. It begins to descrease at the rate of $0.09 per hour.
$12.68 - $0.09×h
12.68 - 0.09h
If the 2 rates continue in how many hours will the prices of the two stocks be the same?
Stock A = Stock B
12.18 + 0.06h = 12.68 - 0.09h
Collect like terms
0.06h + 0.09h = 12.68 - 12.18
0.15h = 0.5
h = 0.5/0.15
h = 3.3333333333 hours
h = 3.33hours
How do you solve this absolute value equation ?
|x + 7| = 3x - 5
Answers
Answer:
x=6
Step-by-step explanation:
x+7=3x-5
add 5 to both sides
x+12=3x
subtract x from both sides
12=2x
divide by 2 on both sides
6=x
Jack reads his book for 8 minutes before school and 10 minutes after school. He attends school Monday through Friday. Which equation shows how many minutes Jack reads his book in two weeks? A. (8 × 5) + (10 × 5) = 40 + 50 = 90 minutes B. (8 × 8) + (10 × 10) = 64 + 100 = 164 minutes C. (8 × 10) + (10 × 10) = 80 + 100 = 180 minutes D. (8 × 14) + (10 × 14) = 112 + 140 = 252 minutes
Answers
Answer:
(8 × 10) + (10 × 10) = 80 + 100 = 180 minutes
Step-by-step explanation:
It is given that, Jack reads his book for 8 minutes before school and 10 minutes after school.
No of days between Monday to Friday = 5
No of days between Monday to Friday in 2 weeks = 10
We need to find how many minutes Jack reads his book in two weeks.
For 10 days, before school = (8 × 10) min = 80 minutes
For 10 days, after school = (10 × 10) min = 100 minutes
It means, total time will be :
T = (8 × 10) min + (10 × 10) min
T = 80 + 100
T = 180 minutes
Hence, the correct option is (C).
Mudrik installed a device on his car that
guaranteed to increase his gas mileage
by 15%. He currently gets 22 miles per
gallon. How much will the gas mileage
increase after installing the device?
Answers
Answer:
His mileage will increase 3.3 miles to the gallon
Step-by-step explanation:
Solve
6x + 5 = 3x + 14
Answers
Answer:
x = 3
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
6x + 5 − 3x = 3x + 14 − 3x
3x + 5 = 14
Step 2: Subtract 5 from both sides.
3x + 5 − 5 = 14 − 5
3x = 9
Step 3: Divide both sides by 3.
[tex]\frac{3x}{3} = \frac{9}{3}[/tex]
x = 3
Hope it helps!!
The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
6x + 5 = 3x + 14
Simplify the equation, then we have
6x + 5 = 3x + 14
6x - 3x = 14 - 5
3x = 9
x = 3
The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
whats the answer?
what is algebra
Answers
Answer;
algebra is the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations
Step-by-step explanation:
whats the question
Write the equation of the line that is perpendicular to the line y=(-1/5)x+9 and passes through the point (-2,-2)
Answers
Answer:
y = 5x + 8
Step-by-step explanation:
Recall that if two lines are perpendicular, their slopes are negative reciprocals of one another. Thus, given y = (-1/5)x + 9, the slope of any perpendicular is
-1
m = --------- = 5
(-1/5)
Starting out with the slope-intercept equation y = mx + b, we get:
-2 = 5(-2) + C, or C = 8
Thus, the desired equation is
y = 5x + 8
The equation of the line that is perpendicular to the given line is y=5x+8.
Given that, the equation of line y=(-1/5)x+9 and passes through the point (-2,-2).
What is slope of an equation?The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.
If m is the slope of a line, then the slope of a line perpendicular to it is -1/m.
Now, slope =-1/5
-1/m = 5
Put m=5 and the point (-2, -2) in y=mx+c and simplify
That is, -2=5(-2)+c
⇒c=8
Substitute m=5 and c=8 in y=mx+c, we get y=5x+8
Therefore, the equation of the line that is perpendicular to the given line is y=5x+8.
To learn more about the slope visit:
https://brainly.com/question/12861818.
#SPJ2
Can someone help me omg :( this is stressful
Answers
Answer:
7
Step-by-step explanation:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep 1: Write expression
7(16 ÷ 4²)
Step 2: Evaluate
Parenthesis - Exponents: 7(16 ÷ 16)Parenthesis - Division: 7(1)Multiplication: 7(Step 1) - you’re going to do 4 squared, which equals 16
(Step 2) - you’re going to do 16 divided by 16, which equals 1
(Step 3) - you’re going to do 7 times 1, which equals 7
This should be the correct way to solve this. I hope this helps you.
parker jogged 5 kilometers one mile is approximately equal to 2.2 kilometers which measurement is closest to the number of miles parker jogged.
Answers
Answer:
the number of miles is 3.107 miles
What is the average rate of change for a
babysitter that earns $9 for 1hr and $36
for 4 hrs?
3
Answers
help plz i really need it
Answers
Answer:
I think translation then reflection
Step-by-step explanation:
PLEEASE I REALLY NEED HELP!!!!
Answers
Answer:
a) CA because cpctc :) ahsjdne
May you please help me!? (Also may you please show your work so I understand?)
Answers
Answer:
(2,3) (-2,1) (-4,-1) (4,-1) (4,-2) (0,-3)
Step-by-step explanation:
its x then y so you would find the number on the line the dot is on going from left to right for x, then for y go from up to down. also the answers are going from the top of the page, down. hope i helped!
4. Write the modal class of the following frequency distribution:
Class interval
10-20 , 20 - 30 ,30 - 40, 40-50, 50 - 60
Frequency..
33
38
65
52
19
48
Answers
The modal class, or mode class, is the class that has the highest frequency. Visually on a bar graph or histogram, it is the bar that is the tallest.
In this case, the highest frequency is 65 which corresponds to the class 30-40. The third frequency is the highest, so the third class is the modal class.
Answer: The interval 30-40 is the modal classhelp me im stoopid lol
Answers
Answer: 6
Step-by-step explanation:
Plug in x for 1
Y=-4(1)+10
Y=-4+10
Y=6
Please help me with this
Answers
Answer:
b. [tex] f^{-1}(x) = x^3 - 2 [/tex]
Step-by-step explanation:
[tex] f(x) = \sqrt[3]{x + 2} [/tex]
[tex] y = \sqrt[3]{x + 2} [/tex]
[tex] x = \sqrt[3]{y + 2} [/tex]
[tex] (x)^3 = (\sqrt[3]{y + 2}^3 [/tex]
[tex] x^3 = y + 2 [/tex]
[tex] y = x^3 - 2 [/tex]
[tex] f^{-1}(x) = x^3 - 2 [/tex]
Answer: b. [tex] f^{-1}(x) = x^3 - 2 [/tex]
Find the root(s) of f(x) = (x + 5)2(x - 9)2(x + 1).
-5 with multiplicity 3
5 with multiplicity 3
-9 with multiplicity 2
9 with multiplicity 2
-1 with multiplicity 0
-1 with multiplicity 1
N1 with multiplicity o
with multinlicity 1
Answers
Answer:
x = -5,-1, 9. -1 with multiplicity 1, 9 with multiplicity 1, and -5 with multiplicity 1.
Step-by-step explanation:
the coefficients do not change the roots of the equation but rather the local minima and maxima, and Minimum or Maximum depending on the function.
Answer:
-1 with multiplicity 1
The halfway point between 300,000 and 400,000
Answers
Answer:
350,000
Step-by-step explanation:
hope this helped!!!
You walk 2 miles in 1/2 hour. At that rate, how long will it take you to walk 3 miles?
Answers
Answer: 3/4 hour or 45 minutes
Step-by-step explanation: 1 hour is 1/4 hour so 1/4 x 3 = 3/4 hour or 45 minutes.
Answer:
45 minutes.
Step-by-step explanation:
Every 15 minutes you walk a mile.
Add 15 again to make 45 minutes.
You have walked 3 miles.
What is the slope, the Y-intercept and the equation for this graph??
Answers
Answer:
equation of the line: y=1/2x-1
slope :1/2x
y intercept: -1
Step-by-step explanation:
using y1-y2/x1-x2:
-1-0/0-2= -1/-2=1/2
the slope is 1/2.
plug in the numbers from the given points to find the y intercept:
-1=1/2•0+b
b= -1
the y intercept is -1.
with that, you've gotten the slope and the y intercept, which means you just have to plug them into y=mx+b.
so, the equation of the line is y=1/2x-1
the coldest temperature on record in town A is -3.33 degrees Fahrenheit. The coldest temperature on record in town B is -3 2/5 Fahrenheit. Which town has the colder temperature?
Answers
Answer:
town b
Step-by-step explanation:
-3.33 degrees is smaller than 2/5 of 1.00 because 2/5 is 0.4 so -3.4 degrees is colder than -3.33.
You decide to borrow a loan of $2,500 to go on vacation. The banks loans you the money at 9%for 7 months. How much interest will you pay?
Answers
Answer:
umm 1500? hmqmmmmmm
ye
d + 12 = 14 - 2d
Find d
Answers
Answer:
d = 2/3
Step-by-step explanation:
Answer:
I believe d=0.6666667 or 2/3
Step-by-step explanation:
d=2-2d
3d=2
d=0.66
Find a4 in the sequence
Asap
Answers
Answer:.
Step-by-step explanation:.
Martin is an after school math tutor . He noticed that 6 people still needed help on 2/5 of the tutoring session time was left.Scince each person was given an equal amount of time, martin wrote the expression below to find the fraction or the toutoring session each person who still needed help would be allotted. 2/5 divided by 6 which expression is equivalent to martins expression?
Answers
Answer:
6/15 ÷ 6
Step-by-step explanation:
Martin is an after school math tutor
He noticed that 6 people still needed help on 2/5 of the time that was left
Martin wrote the expression
2/5 ÷ 6
This expression can be used to determine the number of persons who still need help
Therefore the expression that is equivalent to Martin's expression is
= 6/15 ÷ 6
Using 3 to divide both 6 and 5 will give
2/5 ÷ 6
Hence the expression which is equivalent to Martin's expression is 6/15 ÷ 6
Answer:
A 6/15 divided by 6 on edge
8
Which angles are vertical angles?
6
5
Answers
Answer:
angle 8 and angle 5
Step-by-step explanation:
Describe three situations in which rounding could come in handy.
Answers
Answer:
1. They help you with estimation
2. It makes numbers simpler and easier to do
3. Makes mental maths much quicker
V I’mhjhvcbjvcvjhvvvggujvvcghhhvcccgggghh
Answers
Answer:
the like terms were not grouped together.
Please Help Quickly!! 8 points
Select the correct answer.
How many solutions for x does the following equation have?
3(x + 8) − 1 = 3x + 4
A.
4
B.
0
C.
1
D.
infinite
Answers
x that make the equation true.
No solution
Answer:
pretty much the answer is 7=4 which isnt possible so theres 0 solutions :)
Step-by-step explanation:
Which expression is equivalent to 30(1/2x-2)+40(3/4y-4)?
Answers
Answer:
15x+30y-220
Step-by-step explanation:
Took the test!
Answer:
The person above is correct I got it right on edge quiz 2021
Step-by-step explanation:
!!!!!!!hope I helped lol