MATHEMATICS HIGH SCHOOL

Determine the measure of angle a. PLEASE HELP ASAP!a.64 degrees
b.45 degrees
c.88 degrees
d.42 degrees
determine the measure of angle a. PLEASE HELP ASAP! a.64 - 1

Answers

Answer 1
Answer:

Answer:

D

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

(9x+6)+(74)+(16x)=180\n

Let’s solve for x:

Combine LIke Terms:

(9x+16x)+(74+6)=180

Add:

25x+80=180

Subtract 80 from both sides:

25x=100

Divide both sides by 25:

x=4

Therefore, the value of x is 4.

Now, to find A, we can substitute it for A.

A is measured by:

\angle A=9x+6

Substitute 4 for x and evaluate:

\angle A=9(4)+6=36+6=42\textdegree

Hence, our answer is D.

Related Questions

A bowl contains 50 jellybeans: 25 red jellybeans, 15 green jellybeans, and 10 yellow jellybeans. If you pick a jellybean without looking, what is the probability that you’ll pick a green jellybean?A) 1 B) 3/10 c) 1/2 D) 1/5
What is the inverse operation of 102÷3=34
Select all of the expressions that are equivalent to-4.5 – 5.2.
Which of the following represent dividing 72 by 6?a. 72 ÷ 6 b. 6/72 c. 6 ÷ 72 d. 72/6
Jeremy wants to buy a new computer. The saleswoman says that he can make a down payment and then pay for the computer in installments.Here's a formula that describes this scenario: x=t-yz x = Amount down y = Money each month z = Number of months t = Total price Rewrite the formula to solve for the amount of money Jeremy must pay each month.

Choose the correct graph of the given system of equations.y + 2x = −1
3y − x = 4

graph of two lines that intersect at the point (negative 1, 1)
graph of two lines that intersect at the point (1, 1) < Not
graph of two parallel lines with positive slopes
None of the above

Answers

Answer: Graph of two lines that intersect at the point (negative 1, 1).

Step-by-step explanation:

The given system of linear equations :

y+2x=-1---------(1)\n\n3y-x=4-------------(2)

Multiply equation (1) by 3 , we get

3y+6x=-3-------------(3)

Subtract equation (2) from (3), we get

6x+x=-3-4\n\n 7x=-7

Divide both sides by 7 , we get

x=-1

Put value of x in (1), we get

y+2(-1)=-1\n\n y-2=-1\n\n y=-1+2=1

⇒ both lines are intersecting at (x,y)=(-1,1)

∴  The correct graph of the given system of equations : graph of two lines that intersect at the point (negative 1, 1)

Answer:

(-1,1) One solution

Step-by-step explanation:

Use these steps for the equations:

1)  Rewrite the equation in slope intercept form.

2) Graph the first equation.

3) Graph the second equation.

4) Identify the point of intersection.

What is the greatest common factor of the pair of numbers?312 and 444

Question 10 options:

3

6

9


12

Answers

The GCF of 312 and 444 is 12.

Which ordered triple is located in the same octant as (3, −4, 7)? (−1, 3, −2) (−5, 1, 6) (5, 3, −1) (2, −5, 4)

Answers

Final answer:

The ordered triple (2, -5, 4) is located in the same octant as the ordered triple (3, -4, 7) as they both share a positive, negative, positive pattern in their coordinates, indicating that they are both situated in the second octant of the Cartesian coordinate system.

Explanation:

The question requires the identification of the octant in which the ordered triple (3, -4, 7) is located and then determining which other given ordered triple shares the same octant. In the Cartesian coordinate system, an octant is each of the eight divisions of a three-dimensional coordinate system. By looking at each coordinate of the ordered triple (3, -4, 7), we can see that the first value is positive, the second is negative, and the third is positive. This primes us to the second octant. Going through the list of ordered triples, we find that (2, -5, 4) shares this same signage pattern: first coordinate positive, second negative, and third positive. Such alignment implies that (2, -5, 4) is also in the second octant. Therefore, the ordered triple that is in the same octant as (3, -4, 7) is (2, -5, 4).

Learn more about Cartesian Coordinate System here:

brainly.com/question/31605584

#SPJ1

Identify the absolute extrema of the function and the x-values where they occur. f(x)=6x+(24/x^sqr)+3, x>0

Answers

f(x)=6x+(24)/(x^2)+3\nf'(x)=6-(48)/(x^3)\n6-(48)/(x^3)=0\n6x^3-48=0\n6x^3=48\nx^3=8\nx=2\n

For x<2 \wedge x\not=0 the derivative is negative.
For x>2 the derivative is positive.
Therefore at x=2 there's a minimum.

f_(min)=6\cdot2+(24)/(2^2)+3=12+6+3=21

Find Domain of the function

square root of (x-8)/x(x-9)

Answers

Domain of your function is D = (0,8]U(9, +oo).

Yo sup??

Domain refers to the permissible values of x

since the given function won't be defined at x=0 and x=9

Also the value of the given function should be greater than 0 or else the square root function won't be defined

therefore the domain of the function is :

R+-{0,9}

Hope this helps.

A woman making $1500 per month has her salary reduced by 10% because of sluggish sales. One year later, after a dramatic improvement in sales, she is given a 30% raise over her reduced salary. Find her salary after the raise.What percent change is this from the $1500 per month?

Answers

Answer:

  • after the raise, her salary is $1755 per month
  • this is a +17% change from her original salary

Step-by-step explanation:

The multiplier of her original salary to her reduced salary is ...

  (1 - 10%) = 0.90

The multiplier of her reduced salary after her raise is ...

  (1 +30%) = 1.30

The multiplier of her raised salary from her original salary is ...

  (0.90)(1.30) = 1.17 = (1 +17%)

Her salary after the 17% raise is ...

  1.17·1500/mo = $1755/mo

Answer:

17 %

Step-by-step explanation:

new salary=1500(0.9)(1.3) =1755 $

increase=1755-1500=255 $

% increase=(255/1500)×100=17
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