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3 years ago

Describe two ways that an exterior angle of a triangle is related to one or more of the interior angles.

1 answer:

4 0

Well, an interior angle plus an exterior angle has to equal 180°. Also, the sum of the interior angles is represented by this formula: [-2 + n]180, whereas the sum of the exterior angles all add up to 360°, and is represented by this formula: 360/n [let "n" represent the number of sides in every polygon].

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During a thunderstorm 600 millimeters of rain fell in 30 minuets.what is the millimeters per hour

expeople1 [14]

the answer is 1200 millimeters per hour

4 0

3 years ago

Prove this trigonometric identity sin 3x/sin x - cos 3x/cos x =2

Sveta_85 [38]

Step-by-step explanation:

LHS= sin 3x/sin x - cos 3x/cosx

Taking LCM,

=sin3xcosx- cos3xsinx

sinxcosx

=sin(3x-x)

sinxcosx

= 2sin2x

2sinxcosx

= 2sin2x

sin2x

= RHS.

Proved.

8 0

3 years ago

Mr. Soto plans to open a savings account. Four banks offer the annual interest rates shown. Which list shows these interest rate

Delvig [45]

Ok, so IDK if I'm about to do this problem right, but here we go;

so first, lets change these all to decimals (I more of a decimal gal)

3 1/2 = 3.5
3 2/3 = 3.6666 (repeating)
3 3/5 = 3.6
3 3/8 = 3.375

So now, just order them from greatest to least.

3.66666, 3.6, 3.5, 3.375.

Now, change them back to fractions.
3 2/3, 3 3/5, 3 1/2, 3 3/8

So, if I'm correct, the answer is 3 2/3%, 3 3/5%, 3 1/2%, 3 3/8%
Hopefully I solved your problem!

6 0

3 years ago

How many different 7-card hands include the ace and king of spades?

andrew-mc [135]

2118760 different 7 card hands

6 0

3 years ago

PLEASE HELP I WILL GIVE 100 POINTS!!!!!!!!Given rectangle ABCD ~ HGFE , what is the length of HG ?

never [62]

Since rectangle ABCD is similar to HGFE, the ratios of the lengths of their corresponding sides are equal. We can infer form our picture that AD is corresponding to EH and DC is corresponding to HG, so lets find the ratios of those corresponding sides and establish a proportion to find the length of HG:
$\frac{AD}{EH} = \frac{DC}{HG}$
We know that $AD=45$ , $EH=27$ , and $DC=15$ , so lets replace those values in our proportion:
$\frac{45}{27} = \frac{15}{HG}$
$HG= \frac{27*15}{45}$
$HG= \frac{405}{45}$
$HG=9$

We can conclude that the length of the segment HG is 9.

8 0

3 years ago

Read 2 more answers