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2 years ago

Angle Sum Theorem y = ?

Mathematics

2 answers:

maxonik [38]2 years ago

8 0

Answer:

140°

Step-by-step explanation:

The exterior angle is equal to the sum of the 2 remote interior angles. (The 2 angles farthest from the angle on the outside of the triangle)

20 + 120 = 140

ioda2 years ago

3 0

Answer:

y= 140

Step-by-step explanation:

first you find x by using the sum of angles in a triangle(180-120-20). so x is 40.and then you do 180-40 ( adjustment angles on a straight line. let me know if it makes sense.

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Sarah hopes to be 5 feet tall by her next birthday. Right now, she is 148 centimeters tall. About how many more centimeters does

Alla [95]

Answer:

4.4 cm

Step-by-step explanation:

To solve this problem, we have to remind the conversion factor between feet and cm. We know that:

1 foot = 12 inches

1 inches = 2.54 cm

So,

$1 ft = 12 \cdot 2.54 =30.48 cm$

In this problem, Sarah's height right now is

h = 148 cm

She wants to be 5 feet tall by her next birthday: it means that her height should be

$h'=5 ft \cdot 30.48 =152.4 cm$

Therefore, she needs to grow by:

$h'-h=152.4-148=4.4 cm$

So, she needs to grow 4.4 cm more in order to be 5 feet tall.

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4 years ago

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Ludmilka [50]

Answer:

(a) Alternate Exterior Angles

Step-by-step explanation:

Angles at a transversal are described by their location relative to the parallel lines, and their location relative to the transversal.

<h3>Relative to the parallel lines</h3>

Angles that are not between the parallel lines, but are outside the space between the lines are called "exterior" angles.

Angles that are between the parallel lines are called "interior" angles.

<h3>Relative to the transversal</h3>

Angles on the same side of the transversal are called "same side" or "consecutive" angles.

Angles that are on opposite sides of the transversal are called "alternate" angles.

<h3>Angles shown</h3>

The angles numbered in the diagram are outside the parallel lines and are on opposite sides of the transversal. They are ...

Alternate exterior angles.

<em>Additional comment</em>

Angles in the same place relative to the point where the transversal crosses one of the parallel lines are called "corresponding" angles.

Angles that share a vertex, but not a side, and are formed by opposite rays extending from that vertex are called "vertical" angles. Vertical angles are reflections of each other across their shared vertex.

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2 years ago

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Orlov [11]

Answer:

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Step-by-step explanation:

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3 years ago

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Show that the function has at least one zero between x=1 and x=2

ANTONII [103]

Answer:

See Below.

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = 7x^5-9x^4-x^2$

And we want to show that it has at least one zero between <em>x</em> = 1 and <em>x</em> = 2.

Because the function is a polynomial, it is everywhere continuous.

Evaluate the function at <em>x</em> = 1 and <em>x</em> = 2:

$\displaystyle \begin{aligned} f(1) & = 7(1)^5 - 9(1)^4 - (1)^2 \\ \\ & = -3\end{aligned}$

And:

$\displaystyle \begin{aligned} f(2) & = 7(2)^5 - 9(2)^4 - (2)^2 \\ \\ & = 76 \end{aligned}$

Therefore, because the function changes signs from <em>x</em> = 1 to <em>x</em> = 2 and is continuous on the interval [1, 2], by the intermediate value theorem, there must exist at least one zero in the interval.

7 0

2 years ago

Lourdes received a plant as birthday gift. Her plant grows an average of

jarptica [38.1K]

Answer:

10 months

Step-by-step explanation:

10/1 = 10

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3 years ago