One angle of the following triangle measures 2x. How many degrees does that angle
2x
X+15
2x+10
Answers
Given info:- In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.
Explanation:-
Let the angles be 2x, x+15 and 2x+10 respectively.
∵ Sum of the three angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]
→2x + x+15 + 2x+10 = 180°
→ 2x + x + 2x + 15 + 10 = 180°
→ 3x + 2x + 15 + 10 = 180°
→ 5x + 15 + 10 = 180°
→ 5x + 25 = 180°
→ 5x = 180°-25
→ 5x = 155°
→ x = 155°÷5 = 155/5 = 31.
Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.
∴ ∠A = 2x = 2(31) = 62°
∠B = x+15 = 31 + 15 = 46°
∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.
Related Questions
What is the slope of the line that passes through the points
(−5,−7) and (4,−1)? Write your answer in simplest form.
Answers
9514 1404 393
Answer:
2/3
Step-by-step explanation:
The slope is found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-1 -(-7))/(4 -(-5)) = 6/9 = 2/3
The slope of the line is 2/3.
_____
The attached graph shows the equation of the line in point-slope form.
Please take a look at the picture
Answers
Step-by-step explanation:
option c is correct answer
Answer:
A) -11/-4
Step-by-step explanation:
-11/-2=11/4
Rewrite the fraction.
-(-11/4)
=11/4
Hope this helps :)
I need help with this problem no where on Brainly
Answers
Answer:
blue graph
Step-by-step explanation:
that graph looks similar to e^x
so f(-x) will be similar to e^-x
so it will be a reflection over y axis
see the picture below
f x and r are inversely proportional and x = 9 when r = 72, then what is x when r = 40?
Answers
Answer:
16.2
Step-by-step explanation:
r = k/x
when x = 9 and r = 72 ,72 = k/9
k = 72*9
When r = 40 ,
x = k/r
x = 72*9/40 = 16.2
Answer:
we know that it is 0.6 km
so we convert into meters
and then get 600 m
Hope that helps
Answers
Answer:
ok thank u ig
Step-by-step explanation:
Pre college need help
Answers
Answer:
C
Step-by-step explanation:
Somebody help me with these worksheets pls
(Please answer properly)
Answers
This is an interesting problem.
But first, let us define what are the three possible cases :
A system of linear equations : a system of equation is when you have two equations with the same unknown variables, that you need to solve both together. Example : "x+y = - 7 AND x + y = - 4" are two equations that form a system of equation.
Plus they are linear, a linear equation is simply an equation of the form : y = ax + b where a and b are real numbers.
Here for example x + y = - 7 is a linear equation. Because y = 1 × x - 7
where a = 1 and b = - 7.
Consistent Dependent : A system of equation is consistent Dependant when it has an infinite number of solutions.
When this is the case, the graphs of the lines in the system are the same, meaning the equations in the system represent the same line.Consistent Independent : A system of equation is consistent Dependant when it has exactly one solution.
When this is the case, the graphs of the lines in the system cross at exactly one point.Inconsistent : A system of equation is Inconsistent if it haas no solutions.
When this is the case, the graphs of the lines in the system do not intersect, meaning they are parallel.Now, with those definitions above, we can work on our problem :
1. x + y = - 7 and x + y = - 4
Look at the picture attached the lines are parallel to each other so here the answer is Inconsistent
2. Same line : consistent dependent
3. Parallel Lines : Inconsistent
4. Lines cross at exactly one point :Consistent Independent
5. Lines cross at exactly one point : Consistent Independent.
You can see the graph of each systems in the pictures attached below.
Good luck, you will succeed :)
Multiple-Choice Questions
U
T
1.
?
50°
120°
V
R
Find the measure of the indicated angle in the
drawing above.
(A) 190°
(B) 60°
(C) 70°
(D) 120°
(E) 140°
Answers
Answer:
Mention the drawing if you want an answer !!! How are we supposed to answer this question without the drawing the question is referring to ?????
7.) Solve the system of equations
below.
-2x + 3y = 9 2/3x + 2y = 0
Answers
Answer:
So lets isolate y
we have
-2x+3y=9
2/3x +2y=0
Im gonna do the first equation
so -2x + 3y = 9
Add 2x on both sides
3y= 9+ 2x
Now divide by 3 to isolate y
y= 3+ 2/3x
Now we can subsitute y into any eqaution (I’m gonna do the second one) to solve.
2/3x+ 2(3+ 2/3x)= 0
Solve:
2/3x+ 6 + 4/3x = 0
6/3x +6= 0
2x+6=0
2x= -4
x= -2
Now we can subsitute this for any equation.
so I’m gonna do the first equation
-2(-2)+3y=9
4+3y=9
3y= 5
y= 5/3
y= 1 2/3
Final answer:
x=-2
y= 1 2/3
Write the logarithmic expression as a single logarithm log4(32) – log4 (4)
A. Log8(4) B. Log8(1/8). C. Log4(28). D. Log4(8)
Answers
Because as seen in my solving you are seeing that when we subtract we can divide.I gave you the final answer of your equation.
Hope I help
Addition and subtraction of fractions! find the missing number of 5/6= -/12
Answers
Just multiplayer 5 and 2
The reason for doing this is because we can see that in this equation 12 is equal to 6 so what is 5 equal to? Well while dealing with fractions most of the time you are doing the same for the numerator and denominator so if you divide 12 and 6 it gives you two and if you multiply 2 and 5 you get 10:)
A Chevrolet Sonic Hatchback costs $14,845.00. With a 15% down payment, you can have an amortized loan for 6 years at a rate of 4.5%.
A) What will the monthly payment be?
B) How much will the car cost, in total?
C) How much money will be paid in interest?
Answers
Using simple interest, it is found that:
a) The monthly payment will be of $222.57.
b) In total, the car will cost $18,251.9275.
c) $16,025.1775 will be paid in interest.
The amount of money accrued after t years, using simple interest, with an initial value of P and a decimal rate of r is given by:
[tex]A(t) = P(1 + rt)[/tex]
In this problem:
Total cost of $14,845.00, with a down payment of 15%, hence the initial value that will accrue interest is [tex]P = 0.85(14845) = 12618.25[/tex].Loan for 6 years, hence [tex]t = 6[/tex]Rate of 4.5%, hence [tex]r = 0.045[/tex].Item a:
The amount of money accrued will be of:
[tex]A(6) = 12618.25[1 + 0.045(6)] = 16025.1775 [/tex]
Payment over 6 x 12 = 72 months, hence, the monthly payment will be of:
[tex]m = \frac{16025.1775}{72} = 222.57[/tex]
The monthly payment will be of $222.57.
Item b:
The total cost is composed by:
Down payment of 15%, out of the amount of $14,845.00.Interest of $16,025.1775.Hence:
[tex]T = 0.15(14845) + 16025.1775 = 18251.9275[tex]
In total, the car will cost $18,251.9275.
Item c:
As found in item a, $16,025.1775 will be paid in interest.
A similar problem is given at https://brainly.com/question/13176347
evaluate the expression when a=4 and b=-3.
-a+7b
Answers
Answer:
-4+7x-3=-21+-4=-25
Step-by-step explanation:
geomtry plz help 10 points
Answers
Answer:
22.3<x<27.6
Step-by-step explanation:
X=greater than a number but less than another
22.3<27.6
Knowing that we can place 27.6 to the right of x and 22.3 to the left.
Hope this helps :)
Answer:
[tex]4.3<x<50.9[/tex]
Step-by-step explanation:
To find our Inequality sentence we have to add the largest number with the smaller much
[tex]27.6+23.3=50.9[/tex]
To find the second part of our inequality sentence we have to subtract the larger number from the smaller number
[tex]27.6-23.3=4.3[/tex]
Our inequality sentence is [tex]4.3<x<50.9[/tex]
Brainliest please
Suppose that you take 1000 simple random samples from a population and that, for each sample, you obtain a 95% confidence interval for an unknown parameter. Approximately how many of those confidence intervals will contain the value of the unknown parameter?
Answers
Using the interpretation of a confidence interval, it is found that approximately 950 of those confidence intervals will contain the value of the unknown parameter.
A x% confidence interval means that we are x% confident that the population mean is in the interval.
Out of a large number of intervals, approximately x% will contain the value of the unknown parameter.In this problem:
95% confidence interval.1000 samples.0.95 x 1000 = 950
Hence, approximately 950 of those confidence intervals will contain the value of the unknown parameter.
A similar problem is given at https://brainly.com/question/24303674
A store has apples on sale for $3.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $12.00? Complete the explanation
Answers
Answer:
you can buy 6 pounds of apples
Step-by-step explanation:
will mark as brain list plzzz help no links
Answers
Answer:
Step-by-step explanation:
the answer is 10
Because 7x6 is 42 you can just divide 51 and 5
Good luck :)
Function or not a function?
Answers
Answer: Not Function
Step-by-step explanation:
The pattern is not consistent.
a health status survey in a few villages revelaed that the normal serum protein value of children in that locality is 7.0g/100ml. A group of 16 children, who received high protein food for a period of 6months had serum protein values shown below.Can we consider that the mean serum protein level of these who were fed on high protein is different from that of general population
Answers
We can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.
To determine whether the mean serum protein level of the group of 16 children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml, we can perform a hypothesis test.
Let's denote:
μ1 = Mean serum protein level of the general population (assumed to be 7.0g/100ml)
μ2 = Mean serum protein level of the group fed on high protein food
The null hypothesis (H0) would be that there is no difference between the mean serum protein levels of the two groups:
H₀: μ₁ = μ₂
The alternative hypothesis (Ha) would be that there is a difference between the means:
Hₐ: μ₁ ≠ μ₂
Next, we calculate the sample mean and standard deviation of the group that received high protein food from the given serum protein values.
Assuming the serum protein values (in g/100ml) for the 16 children are as follows:
8.2, 7.6, 7.8, 7.4, 8.0, 7.9, 7.7, 7.5, 7.2, 7.3, 8.1, 7.6, 8.3, 8.0, 7.8, 7.9
Sample mean (x') = (sum of values) / (number of values) = (121.8) / (16) ≈ 7.613 g/100ml
Sample standard deviation (s) ≈ 0.352 g/100ml
Next, we perform a two-sample t-test (assuming equal variances) to compare the means of the two groups. We use the formula:
t = (x'₁ - x'₂) / √[(s₁² / n₁) + (s₂² / n₂)]
where x'₁ and x'₂ are the sample means of the two groups, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.
Substituting the values, we get:
t ≈ (7.613 - 7.0) / √[(0.352² / 16) + (0.0² / 16)] ≈ 3.584
Now, we need to find the critical t-value at a given significance level (commonly set at 0.05) and degrees of freedom (df = n1 + n2 - 2). Since we have 16 + 16 - 2 = 30 degrees of freedom, the critical t-value (two-tailed test) is approximately 2.042.
Since the calculated t-value (3.584) is greater than the critical t-value (2.042), we reject the null hypothesis (H0). This means that there is a significant difference between the mean serum protein levels of the two groups.
In conclusion, based on the given data and the hypothesis test, we can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.
To learn more about hypothesis click on,
https://brainly.com/question/33445215
#SPJ4
how is 7 square root 2 is equal to 49?
Answers
Answer:
Square root is how many times your multiply the number by itself. So 7 square root 2 is 7x7 which is 49.
Select all ratios equivalent to 5:3.
13:9
9:15
20:12
Answers
Answer:
20:12
brainlest if it helped
Step-by-step explanation:
Answer:
20:12
Step-by-step explanation:
if you multiply 5:3 by 4, they'll end up with 20:12.
25Y^2/5y-4 + 16/4-5y
Answers
Answer:
5Y2y-5y
Step-by-step explanation:
5
Y
2
y
−
5
y
what is the change from 3 to -8?
Answers
Answer:
-11
Step-by-step explanation:
3 - 11 = -8
5.You are driving at a constant speed of 20 m/s when you suddenly hit a patch large oil slick. You slam on the brakes and eventually skid to a complete stop. The skid marks are 40 meters long. Calculate the coefficient of kinetic friction between the oil-covered road
and the car tires.
Answers
The coefficient of kinetic friction between the oil-covered road
and the car tires. is 0.51
To solve this question, we would consider one of the equations of motion.
v² = u² + 2as, where
v = final velocity, which is also equal to 0
u = initial velocity, which is 20m/s
s = skid marks, which is 40 meters long
a = acceleration, which is unknown
0² = 20² + 2*a*40
0 = 400 + 80a
80a = -400
a = -400/80
a = -5 m/s
Also, it is known that acceleration a = (mu)g, where mu is the coefficient of kinetic friction and g is the acceleration due to gravity.
-5 = mu * 9.8
mu = -5/9.8
mu = 0.51
learn more about equations of motion here https://brainly.com/question/16878713
solve pls brainliest
Answers
Answer:
1. 9
2. 5
Step-by-step explanation:
Answer:
A would be 9 and I am not sure about B.
Step-by-step explanation:
when a number is in | | these lines then they will always come out positive.
{6x+5y=4
{6x-7y=-20
solve by elimination
Answers
Answer:
x = -1, y = 2
Step-by-step explanation:
6x + 5y = 4
6x - 7y = -20
We already have a similar leading coefficient (6 for X), so we just subtract equation 1 from equation 2 to get:
12y = 24
Now solve normally:
y = 2
Then substitute into the first equation (or second, it doesn't matter)
6x + 10 = 4
6x = -6
x = -1
A partnership begins its first year with the following capital balances:
Alexander, Capital . . . . . . . . . . . . . . . . . . . . . . . . $ 90,000
Bertrand, Capital . . . . . . . . . . . . . . . . . . . . . . . . . 100,000
Coloma, Capital . . . . . . . . . . . . . . . . . . . . . . . . . . 160,000
The articles of partnership stipulate that profits and losses be assigned in the following manner:
∙ Each partner is allocated an interest equal to 5 percent of the beginning capital balance.
∙ Bertrand is allocated compensation of $45,000 per year.
∙ Any remaining profits and losses are allocated on a 3:3:4 basis, respectively.
∙ Each partner is allowed to withdraw up to $25,000 cash per year.
Assuming that the net income is $115,000 and that each partner withdraws the maximum amount
allowed, what is the balance in Coloma’s capital account at the end of the year?
a. $143,000
b. $135,000
c. $168,000
d. $164,000
Answers
Based on the information given the balance in Coloma’s capital account at the end of the year is: d. $164,000.
First step is to calculate the interest on capital for each partner
Alexander=$90,000×5%=$4,500
Bertrand=$100,000×5%=$5,000
Coloma=$160,000×5%=$8,000
Second step is to calculate Coloma capital and drawing
Coloma capital =$160,000 + (5% x $160,000)
Coloma capital=$160,000+ $8,000
Coloma capital=$168,000
Coloma drawing=$168,000-$25,000
Coloma drawing=$143,000
Third step is to calculate Coloma share of profit
Share of profit=$115,000-$45,000-$4,500-$5,000-$8,000
Share of profit=$52,500
Coloma profit=4/(3+3+4)×$52,500
Coloma profit=4/10×$52,500
Coloma profit=4/(3+3+4)×$52,500
Coloma profit=$21,000
Fourth step is to calculate balance in Coloma’s capital account
Coloma’s capital account balance=$143,000+$21,000
Coloma’s capital account balance=$164,000
Inconclusion the balance in Coloma’s capital account at the end of the year is: d. $164,000.
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5. Mohan and Sohan have the same storybook. Mohan has read 2/5 of the book and Sohan has read 2/7 of the book. Who has read more pages? 6. Sonali and Priya are classmates Sonali completed her homework in a of an hour and Priya in of an hour 3/4 . Who was faster?
Answers
#5
Mohan read =2/5Sohan read=2/7Compare
[tex]\\ \sf\longmapsto \dfrac{2}{5}>\dfrac{2}{7}[/tex]
Mohan read more pages.#6
Sonali completed in=1/2Priya completed in=3/4[tex]\\ \sf\longmapsto \dfrac{1}{2}=\dfrac{2}{4}[/tex]
Compare
[tex]\\ \sf\longmapsto \dfrac{2}{4}<\dfrac{3}{4}[/tex]
Sonali was faster
The graph of the linear function is shown on the coordinate grid. What is the equation of this line?
Answers
Hope this helps!! :)
Jasmine wants to make more cleaning solution
Answers
Answer:
here
Step-by-step explanation:
Method 1 Method 1 of 3: Making Liquid Cleaners
Mix equal parts water and vinegar in a spray bottle. Use distilled white vinegar and, if possible, distilled or filtered water.
Add lemon juice to disinfect surfaces. Mix one part lemon juice, one part white vinegar and two parts water in a spray bottle.
Add dish soap for persistent stains on carpet. ...
Tackle tough stains and grime with undiluted vinegar. ...