Answers
115°+X° = 180°
X° = 180° - 115°
X° = 65°
but : 65° +(4k+5)° +(6k+10)° = 180°.. ( sum angles in the triangle)
10K +80° =180°
10K =100°
k = 10°
Related Questions
Write an equation for the line, given that m=3 and the y-intercept is (0,2)
Answers
Answer:
The equation of required line is y=3x+2.
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex] ..... (1)
where, m is slope and b is y-intercept.
We need to find the equation of line whose slope is m=3 and the y-intercept is (0,2).
Substitute m=3 and b=2 in equation (1), to find the equation of required line.
[tex]y=(3)x+(2)[/tex]
[tex]y=3x+2[/tex]
Therefore the equation of required line is y=3x+2.
The equation for the line hose gradient/slope is 3 and a y-intercept of (0, 2) is y = 3x + 2
Further Explanation Equation of a straight line Equation of a straight line is written in the form y=mx+ c, where m and c are numbers. m is the gradient of the line while c is the y-intercept.
Equation of a straight line can be found when given:
A slope of the line and one point where the line is passing through Two points where the line is passing through A slope of the line and the y-intercept Double intercept When an equation of a straight is written in the form of x/a + y/b = 1 Where a is the x-intercept and b is the y-interceptIn this case;
The equation of the straight line with gradient m, passing through a point (x1,y1) is
y-y1 = m(x-x1)
We are given the y-intercept as (0, 2) and the slope is 3
Therefore;
To get the equation, we take another point (x,y)
(y-2)/(x-0) = 3
y-2 = 3x
y= 3x + 2
Keywords: Equation of a straight line, y-intercept,
Learn more about: Equations of a straight line: https://brainly.com/question/11828095 Slope of a straight line: https://brainly.com/question/13060178
Level: High school
Subject: Mathematics
Topic: Equation of a straight line
Michelle listed her three children as equal beneficiaries on her life insurance policy. If she has a $400,000 policy, how much will each receive in the event of her death?
Answers
The beneficiaries received by each of Michelle children is $133333.3.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Michelle listed her three children as equal beneficiaries on her life insurance policy.
Here, insurance amount received by each is
400000/3
= $133333.3
Therefore, the beneficiaries received by each of Michelle children is $133333.3.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
Final answer:
Each of Michelle's three children would receive $133,333.33 from her $400,000 life insurance policy if they are listed as equal beneficiaries.
Explanation:
Michelle has a $400,000 life insurance policy and has listed her three children as equal beneficiaries. To calculate how much each child will receive in the event of her death, we divide the total policy amount by the number of beneficiaries.
$400,000 ÷ 3 = $133,333.33
Therefore, each child would receive $133,333.33 from the life insurance policy. In this scenario, the division of the life insurance policy ensures an equal distribution among Michelle's three children, with each child entitled to $133,333.33. This approach maintains fairness in the allocation of the financial benefit, aiming to provide an equitable share to each beneficiary.
Reduce to simplest form.
3 6/2 × 2 4/5
2 5/6 × 2 7/9
2 2/5 × 4 3/4
1/2 × 3
19/20 × 14
3/8 ×21
3/8 ×12
Answers
convert 2 4/5 to 14/5
multiply the numerators of the improper fractions so 12*14, which is 168.
multiple the denominators so 2*5, which is 10.
the new fraction is 168/10, so you divide 168 divided by 10, which is 16.8, or 16 4/5.
ok guys so i had trouble on this algrebra question for a while if you can help me out thxs so much: Jenny had 2 apples if she added two more how many would she have altogether. Im stuck plz help
Answers
She had 2 Apples
If she added 2 more
What does 2 + 2 equal? It equals to 4
Same thing here,
2 apples that she had + 2 apples that she added = 4 apples
Thus,
She will have 4 apples.
I hope I helped~
After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets and had a total of $700 profit. Which equation models the total profit, y, based on the number of tickets sold, x?
a. y – 300 = 4(x – 100)
b. y + 300 = 4(x + 100)
c. y + 300 = 2.5(x + 100)
d.y – 300 = 2.5(x – 100)
HELPPPPPPPPPPP
Answers
Answer:
Option a : [tex]y-300 = 4(x - 100)[/tex]
Step-by-step explanation:
Given :
The drama club sold 100 tickets to a show, it had $300 in profit.
The next show, it had sold a total of 200 tickets and had a total of $700 profit.
To Find : Equation models the total profit, y, based on the number of tickets sold, x
Solution :
For 100 tickets he had $300 in profit .
⇒ ([tex]x_{1} ,y_{1}[/tex])=(100,300)
For 200 tickets he had $700 in profit .
⇒ ([tex]x_{2} ,y_{2}[/tex])=(200,700)
We will use point slope form i.e.
[tex]y-y_{1} = m(x - x_{1})[/tex] --(A)
Now, to calculate m we will use slope formula :
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{700 -300}{200-100}[/tex]
[tex]m =4[/tex]
Now, putting values in (A)
[tex]y-300 = 4(x - 100)[/tex]
Thus Option a is correct i.e. [tex]y-300 = 4(x - 100)[/tex]
The tangent of a 45 degree angle is _____.
1
0
1/2
-1
Answers
your answer is 1
reason to this being 1.. is 45 degrees is pi / 4
tan is composed of sin(x) over cos(x) which angels are sqrt 2 over 2
when you divide them by each other is the same as multiplying by their
reciprocals making the answer 1.
hope this helps and give brainliest, id appreciate it
in the chorus there is 12 more girls than boys there 32 students in the chorus how many boys are there and how many girls are there
Answers
Hope this helps!! Message me with questions
Find the coordinates of the missing endpoint if B is the midpoint of AC. C(-5,4), B(-2,5) I need the steps and answer pls and ty
Answers
[tex]\bf \left( \cfrac{-5+x}{2}~,~\cfrac{4+y}{2} \right)=\stackrel{B}{(-2,5)}\implies \begin{cases} \cfrac{-5+x}{2}=-2\\\\ -5+x=-4\\ \boxed{x=1}\\ ----------\\ \cfrac{4+y}{2}=5\\\\ 4+y=10\\ \boxed{y=6} \end{cases}[/tex]
The coordinates of the missing endpoints (1,6) and can be determined by using the midpoint formula.
Given :
B is the midpoint of AC. Points -- C(-5,4), B(-2,5)The following steps can be used in order to determine the coordinates of the missing endpoint:
Step 1 - According to the given data, points C(-5,4) and B(-2,5).
Step 2 - The mid-point formula is given below:
[tex]\rm x = \dfrac{x_1+x_2}{2}[/tex]
[tex]\rm y = \dfrac{y_1+y_2}{2}[/tex]
Step 3 - Let the endpoint be (x,y).
Step 4 - Now, substitute the values of the points in the above formula.
[tex]\rm -2= \dfrac{-5+x}{2}[/tex]
[tex]\rm 5 = \dfrac{4+y}{2}[/tex]
Step 5 - Simplify the above expression.
x = 1
y = 6
For more information, refer to the link given below:
https://brainly.com/question/10651868
one serving of granola provides 4% of the protien you need daily. you must get the remaining 48 grans of protien fron other scources. how many grams of protein do you need daily?
Answers
Shannon wants to buy cupcakes for her friend's birthday party. The bakery she goes to sells cupcakes for $3.50 each. The bakery also sells gift cards for $2.00, and Shannon decides to buy one card. If Shannon buys 10 cupcakes, how much money does she spend at the bakery?
Answers
28Students were surveyed and the results showed that of 18 of them loved to play video games what percentage of the students loved to play video game.
Answers
I've been trying to solve this, but I have no idea how.
-1/2x + 3 = -x + 7
Answers
Second, you subtract 3 from both sides of the equation
Last, you would multiply both sides of the equation by 2
It would look like this.....
-1/2x+3=-x+7
1/2x+3=7
1/2x=4
2*(1/2)=(2)*4
x=8
We're simply just trying to get "x" by itself.
So, in order to do this, we must move anything that doesn't have "x" in it to the other side.
SO, subtract 3 from both sides.
-1/2x = -x + 7 - 3
Then, add x to both sides.
-1/2x + x = 7 - 3
Then, simplify.
1/2x = 4
Multiply both sides by 2.
2 · 1/2x = 4 · 2
Simplify.
x = 8
~Hope I helped!~
How many terms are in the expression shown below?
a2 - ab + 8b + b2 - 1
2
3
4
5
Answers
The expression have five terms.
One third of a number is three more than one fourth the same number. What is the number.
Answers
is the same as
(4/12)x=(36/12)+(3/12)x
subtract the 3/12x from each side
(1/12)x=36/12
multiply by 12 on each side
x=36
In ABC, C is a right angle, what is the measure of x?
A. 22.4°
B. 67.6°
C. 20.9°
D. 69.1°
Answers
B is the right answer
Answer:
Option B. 67.6°
Step-by-step explanation:
In the given triangle ABC angle C is the right angle, side AB = 21 and side AC = 8.
We have to find the measurement of angle A.
Now from cosine rule we can write
[tex]CosA = \frac{Base}{hypotenuse}[/tex]
Here Base in the corresponding side of the angle A that is 8 and hypotenuse is 21.
Now we put the values
Cos x = 8/21 = 0.3809
[tex]x=cos^{-1}0.3809[/tex]
Or x = 67.61°
Therefore measurement of angle A or x = 67.6° is the answer.
One moving company charges $800 plus $16 per hour. another moving company charges $720 plus $21 per hour. at what number of hours will the charge be the same and what is the charge?
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Hope this helps :)
How to do the how long will it take two people to paint a room problem?
Answers
Let's example: Mark takes 3 hours, Jane takes 5 hours, to paint the same room.
Let x= the amount of the room each person paints in a given amount of time.
So, Mark's contribution is represented by x/3
Jane's contribution is represented by x/5
Together, they paint one entire room, so our equation will equal...1.
[Our working equation] x/3 + x/5 = 1
[Find common denominator] 5x/15 + 3x/15 = 1
[add fractions] 8x/15=1
[solve for x] 8x=15
x=15/8 or 1 7/8 hours. They can paint the room together in 1 7/8 hours.
Can you can help me with 6.7 round the decimal the nearest whole number
Answers
So you're trying to round to the nearest whole number, look on the number on the right, it's bigger than 5, it's a 7. Therefore, round the whole number up so it would be 7.
the number to the right of the deciml point, 7 is greater than 4, so the number would be rounded up
so 6.7 would round to 7.0
Use the formula m = to calculate the slope of the line.
The slope of the line is .
Answers
[tex]\displaystyle{m= \frac{d-b}{c-a} [/tex]
that is, the slope is the ratio of the difference of the y-coordinates, to the difference of the x-coordinates:
In our problem we have points A(-6, -8) and B(2, 8),
applying the formula for the slope, we have:
[tex]\displaystyle{m= \frac{d-b}{c-a} = \frac{8-(-8)}{2-(-6)}= \frac{16}{8}=2 [/tex]
Answer: 2
The slope of the line passing through the points is 2
How to find the slope of a lineThe formula for calculating the slope of a line is expressed as:
m =y2-y1/x2-x1
Given the coordinate points expressed as(2, 8) and (-6, -8). Substitute the given values to have:
m =y2-y1/x2-x1
m =-8 -8/-6-2
M = -16/-8
M = 2
Hence the slope of the line passing through the points is 2
Learn more on slope here: https://brainly.com/question/3493733
Solve the inequality.
-x/4 ≤ 2
Answers
-x<8
Switch the signs as you make 8 negative and x positive
x>-8
(Make sure to make the signs greater and less than or equal to
what is the property of 7(3+4y)=21+28y
Answers
Julie is selling candy bars to raise money for new band uniforms. Candy bar x sells for $2 and candy bar y sells for $3. The number of y candy bars Julia sells must be greater than or equal to three times the number of x candy bars she sells. She has at most 36 candy bars to sell. What is the maximum revenue she can make? $36 $99 $108 $216
Answers
The number of candy Y must be >= 3 times candy X. Since this won't limit candy Y selling, then you can convert all 36 candy into candy Y and 0 candy X
36 candy (Y) >= 0 candy(X) ----> the requirement is met.
The revenue would be 36 candy Y * $3/candy Y= $108
Correct Answer.
$36
$99 <---
$108
$216
If p: It is not cold. What is ~ p?
it is cold
it is mildly cold
it depends
none of the above
Answers
So, the answer is "it is cold".
Answer:
"it is cold"
Step-by-step explanation:
40 POINTS
Which ordered pair is a solution to the system of inequalities?
Check image below.
Answers
solve for the 2nd equation with the answers:
A. 1+3 =4 ( not less than 4)
B. 0+4 = 4 ( not less than 4)
C. -3 + 5 = 2 ( less than 4) & y is >-2
D. -2 +-3 = -5 ( less than 4) but -3 is <-2
so answer is C
One number is 4 more than 3 times another. Four times the larger decreased by 5 times the smaller is equal to the smaller subtracted from 32. Find the numbers
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I really need help with #4
Answers
If the coefficient of static friction between the coffee cup and the roof of the car is 0.21, what is the maximum acceleration the car can have without causing the cup to slide? ignore the effects of air resistance.
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the formula P=2I + 2w means that the perimeter of a rectangle is equal to twice the sum of its length and its width
Answers
Answer:
Step-by-step explanation: simple Answer I got
I=p-2w over 2
write an expression to model the following phrase an hourly wage of 13.50 plus a 75 bonus
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If the product of two numbers is zero then at least one of the numbers must be zero