Please please help please

Can someone help me with this!

Stolb23 [73]

Answer:

2. x = 18

3. x = 7

4. missing angles are 73°

Step-by-step explanation:

The simple rules involved here are ...

the sum of angles of a triangle is 180°
angles forming a linear pair are supplementary (total 180°).

Together, these tell you that the external angle of a triangle has the same measure as the sum of the opposite internal angles. (The third angle is the supplement of the external angle.)

<u>Problem 1</u>

Work shown is correct.

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<u>Problem 2</u>

Using the above observation, ...

(5x -11)° + (2x +20°) = (11x -63)°

7x +9 = 11x -63 . . . . . collect terms, divide by °

72 = 4x . . . . . . . . . . . add 63-7x

18 = x

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<u>Problem 3</u>

The angles of an equilateral triangle are 60°, so that is the measure of the marked angle.

9x -3 = 60

9x = 63 . . . . . . add 3

x = 7 . . . . . . . . .divide by 9

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<u>Problem 4</u>

You don't need to find the value of x to answer this question. The base angle of an isosceles triangle is the complement of half the apex angle. This comes from the fact that the two base angles are equal measure.

(apex angle) + 2(base angle) = 180° . . . . sum of angles in isosceles triangle

(1/2)(apex angle) +(base angle) = 90° . . . divide by 2

base angle = 90° -(1/2)(apex angle) . . . . .solve for base angle

Filling in the given apex angle value, we get ...

base angle = 90° -(1/2)(34°) = 73°

Both missing angles are 73°.

7 0

3 years ago

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative

vagabundo [1.1K]

Considering the vertex of the parabola, the correct statement is given by:

The range of the function is all real numbers less than or equal to 9.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The vertex is given by:

$(x_v, y_v)$

In which:

$x_v = -\frac{b}{2a}$

$y_v = -\frac{b^2 - 4ac}{4a}$

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point, which means that the range is all real numbers less than or equal to $y_v$ .

If a > 0, the vertex is a minimum point, which means that the range is all real numbers greater than or equal to $y_v$ .

In this problem, we have that:

a = -1 < 0, hence the vertex is a maximum point.

The vertex is (-2,9).

Hence the range is described by:

The range of the function is all real numbers less than or equal to 9.

More can be learned about the vertex of a parabola at brainly.com/question/24737967

#SPJ1

5 0

1 year ago

If the surface area of a sphere is represented by 144 pi, what is the volume in terms of pi?

umka21 [38]

Answer:

288 pi

Step-by-step explanation:

3 0

3 years ago

I NEED HELP can. someone help me please

Andrej [43]

Answer:

A & E

10-11= - 1

4y-5y= - y

4x5=20

4 x 2y = 8y

-3 x 3y = - 9y

-3 x 7 = - 21

20-21= - 1

8y - 9y = - y

7 0

2 years ago

Sara receives a 9% commission on every car she sells. The car dealership paid $20,000 for a car from an auction. The next day th

Paladinen [302]

Hey there! Your answer to this problem is 2160..

Explanantion:

Since every car Sara sells, she gets 9% of the commission, this means that at the last few step, we would have to give 9% of the total cost to Sara.

If 100% is 20,000, then 50% would be 10,000. But we have to find the cost of 20%. So what we would actually be doing is multiplying 20 with 0.01. 20x0.01 is 0.2 or 0.20.

Then you add the 4,000 to the 20,000 because it states, “the next day, they sold the car 20% more than they paid. This means that you’ll have to add it. 20,000 plus 4000 would be 24,000. So 24,000 would be the cost of the car they sold.

However they didn’t wanna know the cost of the car, they wanted to know how much Sara would get. So you would have to take 9% of the cost of the cost which would be 2,160.

Final result: $2,160

4 0

2 years ago