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mart [117]
3 years ago
11

What is the common angle of triangle PQT and triangle RSQ?

Mathematics
2 answers:
Elodia [21]3 years ago
6 0

we know that

The internal angles of the triangle PQT are

Angles

TPQ

PQT=SQR

QTP

The internal angles of the triangle RSQ are

Angles

SRQ

SQR=PQT

QSR

therefore

the answer is

angle\ PQT

Novay_Z [31]3 years ago
5 0
The common angle of triangle PQT and triangle RSQ is angle PQT. 
So, the right answer will be A OPTION.
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The cosine of 23° is equivalent to the sine of what angle
Archy [21]

Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

\cos(90^\circ-x)=\sin(x)

or

\sin(90^\circ-x)=\cos(x)

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

6 0
3 years ago
16) The manager of a bulk foods establishment sells a trail mix for $8 per
zaharov [31]

Answer:

The amount of peanuts to use is 5 pounds and that of cashews is 30 pounds.

Step-by-step explanation:

Let the amount of peanut to use to be x

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Form equations to compare amounts for individual foods and the mixture

8x+15(35-x)=35(14)\\\\8x+525-15x=490\\\\7x=35\\\\x=5\\\\

So the pounds to be used for peanuts is 5 pounds

The pounds to be used for cashews will be 35-x= 35-5=30 pounds

Learn More

Mixtures : brainly.com/question/11497620

Keywords : Mixture

#LearnwithBrainly

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guapka [62]

Answer:

I can't you didn't give the names of points on the line

Step-by-step explanation:

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Mrs.Welch needs to buy some cat food . If each can costs $0.79 and she has a coupon for $2 off the entire purchase, how many can
allochka39001 [22]

Answer:

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