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2 years ago

Find the missing angle measure in each triangle as acute, right or obtuse

Mathematics

2 answers:

bulgar [2K]2 years ago

7 0

Answer:

6. x = 53°

7. x = 120°

Step-by-step explanation:

I use the angle ABC method

6. angle ACB + angle BAC = 90°

37° + x = 90°

Substitute angle BAC = x. angle ACB = 37°

into angle ACB + angle BAC = 90°

x = 53°

7. angle ABC + ACB + BAC = 180°

x + 37° + 23° = 180°

Substitute angle ABC = x, angle BAC = 23°,

angle ACB = 37° into

angle ABC + angle ACB + angle BAC = 180°

x = 120°

8. 12.5 × 25 = 312.5 feet

Lena [83]2 years ago

6 0

Answer:

6. x=53 obtuse
7. x=120 obtuse

Step-by-step explanation:

To find x, you need to add up the angle measures you already have and subtract that sum from 180.

For example, on number 6 you have 37 and a right angle (that little box in the corner). That counts as 90, so its 90+37=127. Then, you subtract 180-127=53. That is how you get your answer.

Hope this helps <3

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Formulate but do not solve the following exercise as a linear programming problem. Kane Manufacturing has a division that produc

earnstyle [38]

Answer:

z - 2*x - 1.5*y = 0 maximize

subject to:

3*x + 5*y ≤ 800

8*x + 3*y ≤ 1200

x, y > 0

Step-by-step explanation:

Formulation:

Kane Manufacturing produce x units of model A (fireplace grates)

and y units of model B

quantity Iron cast lbs labor (min) Profit $

Model A x 3 8 2

Model B y 5 3 1.50

We have 800 lbs of iron cast and 1200 min of labor available

We need to find out how many units x and units y per day to maximiza profit

First constraint Iron cast lbs 800 lbs

3*x + 5*y ≤ 800 3*x + 5*y + s₁ = 800

Second constraint labor 1200 min available

8*x + 3*y ≤ 1200 8*x + 3*y + s₂ = 1200

Objective function

z = 2*x + 1.5*y to maximize z - 2*x - 1.5*y = 0

x > 0 y > 0

The first table is ( to apply simplex method )

z x y s₁ s₂ Cte

1 -2 -1.5 0 0 0

0 3 5 1 0 800

0 8 3 0 1 1200

7 0

4 years ago

In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B.

Gwar [14]

Let us assume number of points scored by Team B = b points.

Number of points scored by Team A 5 fewer than twice as many points as Team B, that is "5 less than 2b" = (2b-5) points .

Team C scored 80 more points than Team B, that is " 80 more than b" = (b+80) points.

Total number of points scored by all teams = 983 points.

Therefore, we can setup an equation:

Therefore, an equation to represent this scenario using the variable b to represent Team B’s total points is (2b-5) + b + (b+80) = 983.

8 0

3 years ago

Read 2 more answers

Find the sum of the infinite series below.<br><br><br><br><br> URGENT!!!!!!!!!!!!!!!!

Leona [35]

B 64/7 I did the math it is b

8 0

2 years ago

What is the square root of –16?

jeka94

4 i
I is the square root of negative one

8 0

3 years ago

The difference of the square of a number and 28 is equal to three times that number find the negative solution

bazaltina [42]

Answer:

The negative solution = x = -4

Step-by-step explanation:

Let the number be = x

The square of number = x²

The difference between the square of a number and 28 = x²-28

Given that the difference of the square of a number and 28 is equal to three times that number.

Thus, the equation becomes

$x^2-28=3x$

subtract 3x from both sides

$x^2-28-3x=3x-3x$

$x^2-3x-28=0$

$\left(x+4\right)\left(x-7\right)=0$

$x+4=0\quad \mathrm{or}\quad \:x-7=0$

$x=-4,\:x=7$

Thus, the negative solution = x = -4

6 0

3 years ago