MATHEMATICS HIGH SCHOOL

Find the measure of angle B
78 degrees
37 degrees
55 degrees
65 degrees
Find the measure of angle B 78 degrees 37 degrees - 1

Answers

Answer 1
Answer:

Answer:

65°

Step-by-step explanation:

We can apply a theorem known as angle sum property of a triangle,in which all the angles of it sums to 180°,then only it can be a triangle!

In ∆ ABC, by angle sum property,

  • <A+<B+<C = 180°

Given that, <A = 2x+4°,

  • <B = 2x-9°
  • <C = x°

Putting in the values,

  • 2x+4+2x-9+x = 180°(Collect terms and solve them)

Solving in the equation,

  • 4x-5 +x = 180°(Again collect terms)
  • 5x = 185°(Transpose 5 onto RHS)
  • x = 185/5 = 37°

We have to find the value of <B:

  • 2x-9°

Putting the value of <B:

  • 2*37-9
  • 74-9 = 65°

Hence the value of <B = 65°

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A teacher assigns a journal to be completed. In the journal, a student is supposed to include 32 quotations from a book they read in class. Their are 19 chapters in the book. How many quotations are to be given from every chapter?

Answers

32➗19= 1.684...

So that would mean that you would need 1-2 quotations per chapter with the minimum of at least 1 per chapter.

You would need 1-2 quotations

Hope this helps! :3

in a rational no. twice the numerator is 2 more than the denominator. if 3 is added to each, the numerator or the denominator, the new fraction is 2/3. find the original no.

Answers

(x)/(y)- rational\ number\n\n2x-2=y\n\n (x)/(2x-2)- rational \ number\n\n (x+3)/(2x-2+3)=(2)/(3)\n\nCross\ multiplication\n\n3(x+3)=2(2x-2+3)\n\n3x+9=2(2x+1)\n\n3x+9=4x+2\n\n3x-4x=2-9\n\n-x=-7\ |*(-1)\n\nx=7\n\nOriginal \ number\ is\ (7)/(2*7-2)=(7)/(12)

Write these expressions in exponential form. Example: 12 to the power of 2 x 12 to the power of 6= 12 to the power of 2 +61. 11 to the power of 16 x 11 to the power of 1=

2. a to the power of 6 x a to the power of 8 =

3. (-2) to the power of 12 x (-2) to the power of 1=

4. 1.1 to the power of 7 x 1.1 to the power of 9 =

5. 3 to the power of 4 x 5 to the power of 2 =

Answers

Step-by-step explanation:

1. 11 to the power of 16 x 11 to the power of 1

  • 11^(16)*11^1=11^(16+1)=11^{17

2. a to the power of 6 x a to the power of 8

  • a^6*a^8=a^(6+8)=a^(14)

3. (-2) to the power of 12 x (-2) to the power of 1

  • (-2)^(12)*(-2)^1=(-2)^(12+1)=(-2)^(13)

4. 1.1 to the power of 7 x 1.1 to the power of 9

  • 1.1^7*1.1^9=1.1^(7+9)=1.1^(16)

5. 3 to the power of 4 x 5 to the power of 2

Assumed it is both 3 or 5, we take 3

  • 3^4*3^2=3^(4+2)=3^6

What when multiplied is 5 but when added is -11

Answers

To get two numbers that when multiplied gives 5, and when added gives -11, the calculations are as follows:

Formulate 2 equations using the given information

1. xy = 5
2. x+y = -11

Substitute both equations, the answers are:

x = -10.525
y = -0.475

Factor the following trinomial by grouping

9x^3+30x^2+24x

Answers

Factor

9x3+30x2+24x
9x3+30x2+24x
=3x(3x+4)(x+2)
9x^3+30x^2+24x \n \n gcf = 3x \n \n 3x ( (9x^3)/(3x) + (30x^2)/(3x) + (24x)/(3x) ) \n \n 3x(3x^2 + 10x + 8) \n \n 3x ( 3x^2 + 6x + 4x + 8) \n \n 3x(3x(x + 2) + 4(x + 2)) \n \n 3x(x + 2)(3x + 4) \n \n

The final result is: 3x(x + 2)(3x + 4).

What number is prime

24,41,64,16

give u 100 points later promise:)

Answers


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41  is the only prime number on that list.
It's not divisible by any number except  1  and itself.

16,  24,  and  64  are all composite numbers.
2,  4,  and  8  are factors of all three, and  24 and 64 also have
other additional factors.

41. nothing, besides one can be multiplied by 41
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MATH HELP ASAP PLSSSS