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3 years ago

What is the measure of the missing angle in a triangle that contains angle measures of 37° and 59°?

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

4 0

Answer:84 degrees

Step-by-step explanation:

so if a triangle is 180 degrees in total you need to find how much you need to equal that so you add 59+37=96 degrees so then you will subtract 180-96=84 degrees

Your welcome!

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Apply the distributive property to factor out the greatest common factor.<br> 45e -27f

mojhsa [17]

Answer:

9 (5e - 3f)

Step-by-step explanation:

45e -27f

45e = 9*5*e

27f = 9*3*f

The common factor is 9

9*5*e - 9*3*f

9 (5e - 3f)

8 0

3 years ago

Read 2 more answers

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.

EastWind [94]

Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

17/sin61 = 19/sinB

sinB = (19/17)(sin61)

sinB = 0.9774

sin-1(sinB) = sin-1(0.9774)

B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

C = 180° - A - B

C = 180° - 61° - 77.8°

C = 41.2°

a/sinA = c/sinC

17/sin61 = c/sin41.2

c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

8 0

3 years ago

PLEASE HELP ASAP WILL MARK BRAINLIEST!!

Papessa [141]

Answer:

Prime.

Step-by-step explanation:

$x^2-7x+8\\$

First let's multiply our outer coefficients in this case 1 and 8, so we have 1x8=8. Now the point of this is to get the factors of 8 and see if we can get that middle term -7. Factors of 8 are 1x8, 2x4 and that's it. From there I notice that -8+1 = -7 and so:

$x^2-7x+8 = x^2-8x+x+8 = x(x-8)+(x+8)$

Notice that the (x-8) and (x+8) are not the same factors, therefore the factors are not any of those answer choices and so it's prime. You can calculate the factors by using the quadratic formula, however I think that is beyond the scope of this question.

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3 years ago

To create an entry code, you must first choose 2 letters and then, 4 single-digit numbers. How many different entry codes can

Murrr4er [49]

Assuming that the letters can only be capitals or non-capitals then:
(26P2)*(9P1)*4 = 23400 possible combanations

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3 years ago

5th Grade U.S Studies Weekly- Week 24 Answer Key

Georgia [21]

You should try and put it in another way it doesn’t make sense

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3 years ago