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3 years ago

Drag a vertex of the triangle to change its shape.

Mathematics

1 answer:

likoan [24]3 years ago

8 0

Answer:

The correct option is;

45°

Step-by-step explanation:

By angle sum theorem, we have that the sum of angles in a triangle = 180°

Therefore, we have;

When the interior angles of the triangle are constructed to be 60° and 75°, we have by the angle sum theorem;

The third angle + 60° + 75° = 180°

Which gives;

The third angle = 180°- 60° - 75° = 180°- 135° = 45°

The measurement of the third angle by the angle sum theorem will be 45°

The correct option is ∠third angle = 45°.

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The government department responsible for laws concerning work is the _____.

boyakko [2]

Employment laws legislation i think

6 0

3 years ago

Read 2 more answers

-4/9x=16/27 alguien que me ayude

Andre45 [30]

<h3>Answer</h3>

First multiply everything by 27

$- \frac{4}{9} x = \frac{16}{27} = \\ 27 \times ( - \frac{4 }{9}x) = 27 \times \frac{16}{27}$

Then approximate the terms with 27 if it's possible (27 and 9) (27 and 27)

$3 \times ( - \frac{4}{1} ) = 16$

So now multiply again

$3 \times ( - 4) = - 12$

And you have

$- 12x = 16$

$x = - \frac{16}{12} = - \frac{4}{3}$

You're welcome if it's right

4 0

3 years ago

Billy is 5 2/3 feet tall. Maris is 4 11/12 feet tall. How much taller is billy

3241004551 [841]

3/4 feet

You can set this up as an equation and solve

$5\frac{2}{3}-4\frac{11}{12} =5\frac{8}{12} -4\frac{11}{12} =4\frac{20}{12} -4\frac{11}{12}=\frac{9}{12} =\frac{3}{4}$

3 0

2 years ago

Solve for height using the tangent method. Show your work.

Murljashka [212]

Answer:

b = 17.318 height = 23.318 ft

Step-by-step explanation:

This IS very similar to the other one, Emily..... Have you tried to solve it the same way?

b = 152 tan 6.5 = 17.318 ft (using a calculator)

add the height of the victim's head (6 ft)

17.318 + 6 = 23.318 ft

5 0

2 years ago

***45 POINTS*** PLEASE EXPLAIN WELL AND SHOW WORK USED TO FIND THE ANSWERS

IceJOKER [234]

Okay so basically the axis of symmetry is the h (technically where x is on the graph)nvalue so for the first one the answer is -4 for the second one because in vertex form the value of h (x-h) is in the parenthesis. For the second one you will have to turn the equation from standard to vertex. First step is to factor out the first two terms' coefficients. if you factor out two the equation turns into 2(x^2-8x) +15 The next step is you take 8 and divide it by 2 and then square it which equals 16. You add this term into the parenthesis so you can factor out like a quadratic. The equation turns into 2(x^2-8x+16) +15 to balance out the equation you have to subtract the term that you put in the parenthesis outside the parenthesis. Since 16 is the parenthesis you need to multiply it by 2, so your equation will turn into y=2(x^2-8x+16) -17 then factor out like a regular polynomial and get y=2(x-4)^2 -17 now that it's in vertex form you can see your answer is positive 4. For the third problem just look where the vertex is and see the x coordinate. The answer is 1.

The order is the g(x), the graph and the f(x)

4 0

3 years ago