MATHEMATICS HIGH SCHOOL

23. What is the value of a? The diagram is not to scale.

Answers

Answer 1

Answer:

I may give the answer, but not the proper calculation so aware.

So we all know a triangle have 180 degree.

We have 180 - (2a + 6) - a = 90

So abandon the 6 and 90 at this point, we'll have 2a and a

180 - 90 - 6 = 84

84 / 3 = 28.

So a = 28, 2a + 6 = 62

90 + 28 + 62 = 180, which makes the answer valid.

Related Questions

Hannah has a biased coin.She is going to throw the coin once. The probability of getting heads is 0.7 Work out the probability of getting tails.
Ellen plans to have two children but doesn't know if they will be boy-boy, girl-girl, or boy-girl. What is the probability that she will have two girls?0.25 0.5 0.75 1.00
On what intervals is the graph of f(x)=x^3-2x^2+5x+1 increasing?On what intervals is the graph of f(x)=0.5x^2-6 decreasing?On what intervals is the graph of f(x)= increasing?
Which expression is equivalent to i to the power of 233a. 1 b.-1 c.i d.-i
I am having a hard time with an Algebra question on systems of equations and graphing: y= 5x-8y= -5x+2The answer choices are:A. The solution is ______( fill in whatever the solution is)__. B. There is infinitely many solutions.C. There is no solution.I also have to graph it so what what would I graph if need be? Thanks so much!!!

A company finds it can produce 5 heaters for $2000, while producing 15 heaters costs $4600. Express the cost, y, as a linear function of the number of heaters, X. Determine the cost to produce 20 heaters. Express the cost, y, as a linear function of the number of heaters, X. ou y = (Simplify your answer.) The cost to produce 20 heaters is $

Answers

Answer:

y = 260x + 700
$5900

Step-by-step explanation:

We can describe it as a linear function with points of:

(5, 2000) and (15, 4600)

Slope intercept formula:

y = mx +b

Finding the slope using the two given points:

m = (4600-2000)/(15-5) = 2600/10 = 260

Finding b:

2000 = 5*260 + b

b = 2000 - 1300 = 700

Formula obtained:

y = 260x + 700

For x = 20, value of y is:

y = 260*20 + 700 = 5200+700 = $5900

Final answer:

To express the cost, y, as a linear function of the number of heaters, X, we can use the two-point formula to find the equation of the line. The equation is y = 260x + 700, and the cost to produce 20 heaters is $5900.

Explanation:

To express the cost, y, as a linear function of the number of heaters, x, we need to find the slope and y-intercept of the equation. We can do this by finding the equation of the line that passes through the points (5, 2000) and (15, 4600). Using the two-point formula, we have:

slope = (4600 - 2000) / (15 - 5) = 2600 / 10 = 260

y-intercept = 2000 - 260 * 5 = 2000 - 1300 = 700

Therefore, the equation of the line is y = 260x + 700.

To find the cost to produce 20 heaters, we substitute x = 20 into the equation:

y = 260 * 20 + 700 = 5200 + 700 = 5900

So, the cost to produce 20 heaters is $5900.

Learn more about Linear function here:

brainly.com/question/40461731

#SPJ12

How do you create a system of inequalities with given restraints?The assignment says:
Julia is deciding how many batches of sugar cookies and how many loaves of banana bread to make. Construct a system of linear inequalities that shows how many batches of sugar cookies (x) and loaves of banana bread (y) she can make with the flour she has but also reflects the fact that she can’t produce negative goods. There are 36 cups of flour available; to make one batch of sugar cookies, Julia needs 2 3/4 cups of flour, and to make one loaf of bread she needs 2 1/2 cups of flour.

Answers

Given:
sugar cookies = x = 1 batch = 2 3/4 cups of flour
loaves of banana bread = y = 1 loaf = 2 1/2 cups of flour

2 3/4 x + 2 1/2 y < 36

the total number of cups of flour used per batch of sugar cookies and loaf of banana bread should not exceed 36 cups of flour.

-x-y=11
convert from standard form to slope intercept form