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3 years ago

What is the supplementary angel of 60

Mathematics

1 answer:

AURORKA [14]3 years ago

3 0

A line is 180°, so the supplementary angel makes up the difference between. 180 - 60 = 120°

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Solve the word problem. The height of a triangle with base b and area A is given by the formula h = 2A/B . What is the height

jeka94

$h = \frac{2A}{b} \ \ \ and\ \ \ A=26\ cm^2\ \ \ and\ \ \ b=8\ cm\\\\h= \frac{2\cdot26}{8} = \frac{2\cdot2\cdot13}{2\cdot2\cdot2} = \frac{13}{2} =6.5\ [cm]\\\\Ans.\ D$

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3 years ago

Four different sets of objects contain 2, 5, 6, and 7 objects, respectively. How many unique combinations can be formed by picki

mario62 [17]

The correct answer for the question that is being presented above is this one: "A. 960."Four different sets of objects contain 2, 5, 6, and 7 objects, respectively.

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3 0

3 years ago

Read 2 more answers

Given: m

Nutka1998 [239]

Answer:

$m\angle MEJ=25^{\circ}.$

Step-by-step explanation:

The arcs LY, KM, KL and MJ together form the full revolution angle, thus

$4x+50^{\circ}+6x+x+10^{\circ}+4x=360^{\circ},\\ \\15x=300^{\circ},\\ \\x=20^{\circ}.$

Note that

$m\angle MOJ=4x=80^{\circ},$

then

$m\angle MLJ=\dfrac{1}{2}\cdot 80^{\circ}=40^{\circ}.$

So,

$m\angle ELM=180^{\circ}-40^{\circ}=140^{\circ}.$

Also

$m\angle LOK=30^{\circ},$

$m\angle KML=\dfrac{1}{2}\cdot 30^{\circ}=15^{\circ}.$

In triangle EML,

$m\angle MEL+m\angle EML+m\angle ELM=180^{\circ},\\ \\m\angle MEL=180^{\circ}-15^{\circ}-140^{\circ}=25^{\circ}.$

Thus, $m\angle MEJ=25^{\circ}.$

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3 years ago

Find the angle of depression

slavikrds [6]

Given:

In triangle ABC, $m\angle A=66^\circ, AB=5\text{ mi}$ .

To find:

The angle of depression from point A to point C.

Solution:

According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.

In triangle ABC,

$m\angle A+m\angle B+m\angle C=180^\circ$

$66^\circ+90^\circ+m\angle C=180^\circ$

$156^\circ+m\angle C=180^\circ$

$m\angle C=180^\circ-156^\circ$

$m\angle C=24^\circ$

We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.

Therefore, the angle of depression is 24 degrees.

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3 years ago

Why <img src="https://tex.z-dn.net/?f=%5Clim%20_%7Bx%5Cto%20-3%7D%5Cleft%28x%5E2-2x%2B4%5Cright%29" id="TexFormula1" title="\lim

shepuryov [24]

The quadratic is continuous over its entire domain, which is to say we can evaluate the limit by direct substitution:

$\displaystyle \lim_{x\to-3} (x^2 - 2x + 4) = (-3)^2 - 2(-3) + 4 = 9 + 6 + 4 = \boxed{19}$

You are mistaking (-3)² for -3². They are not the same number.

(-3)² = (-1 × 3)² = (-1)² × 3² = 1 × 9 = 9

-3² = -1 × 3² = -1 × 9 = -9

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2 years ago