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Georgia [21]
3 years ago
6

Find the measure of G

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Step-by-step explanation:

  • We know that exterior angle of a triangle is equal to the sum of two opposite interior angle .So

<H + <G = <GFD

30° + 10x + 12° = 15x + 7 °

42° + 10x = 15x + 7°

42° - 7° = 15x -10x

5x = 35°

Therefore x = 7°

Now

<G = 10x + 12° = 10 * 7° + 12° = 70° + 12° = 82°

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What is the value of ?<br> 14 when z = 9?
ch4aika [34]

Answer:

chicken nuggets

Step-by-step explanation:

cuz if u add then  

u g

3 0
2 years ago
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A chef at a restaurant uses 13 pounds of butter each day.About how many grams of butter does the chef use each day us 16ounces/1
lesantik [10]

Answer:

5907.2 grams

Step-by-step explanation:

16 x 28.4 x 13 = 5907.2grams

6 0
3 years ago
Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1, 0, −1), B(4, −3, 0), C(1
zavuch27 [327]

Answer:

Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

Step-by-step explanation:

1. First find the length of the vectors  

AB = B-A = (4-1, 3-0, 0-1) = (3, 3, -1)

AC = C-A = (1-1, 4-0, 3-1) = (0, 4, 2)

BC = C-B = (1-4, 4-3, 3-0) = (-3, 1, 3)

2. Find magnitude of the vectors

|AB| = √(3^2+3^2+〖(-1)〗^2 )=√19  

|AC| = √(0^2+4^2+2^2 )=2√5

|BC| = √(〖(-3)〗^2+1^2+3^2 )=√19

3. Find the angles between them

cos θ = (a.b)/(|a||b|) -----> θ = arc cos ((a.b)/(|a||b|))

AB, AC : θ =arc cos (AB.AC)/(|AB||AC|) = arc cos ( (3.0+3.4+ -1.2)/(√19  x 2√5)=  10/(2√95) ) =59.136, which is approximately 59.14°

AB, BC : θ =arc cos (AB.BC)/(|AB||BC|) = arc cos( (3.-3+3.1+ -1.3)/(√19  x √19)=  (-9)/19 ) = 118.27°

Because of the direction of BC is pointing relative to AB this is the angle outside the triangle, and we should find the supplementary angle.

180-118.27 = 61.73°

If we used –(BC) = CB in the formula (just negate the numerator) we would have gotten the correct angle on first try.

The 3rd angle should be what’s left after subtracting from 180°;

180-61.73-59.14 = 59.13 °

You can confirm using the formula again :

AC, BC : θ =arc cos (AC.BC)/(|AC||BC|) = arc cos( (0.-3+4.1+ 2.3)/(√19  x 2√5)=  10/(2√95) = 59.13°

Rounding everything up so they add up to 180 degrees we have Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

7 0
3 years ago
A room has dimensions of 8 mx 6 mx 4 m.
natali 33 [55]

Answer:

Price of paint = Rs 16,640

Step-by-step explanation:

As 3 dimensions are given so the third one must be for ceiling.

So in this case, we can find area as follows:

Area = 2(length * width) + 2(length * height)+ 2(height * width)........eq1

Lets say:

Length = 8m

Width = 6m

Height = 4m

So putting value in eq1 we get:

Area = 2(8*6) + 2(8*4) + 2(4*6)

Area = 2(48) + 2(32)+ 2(24)

Area =96 + 64 + 48

Area = 208 sq. m

Now for calculating price:

Price of paint = 208 * 80

Price of paint = Rs 16,640

I hope it will help you!

5 0
3 years ago
Help me! What is the answer to this question!? Provide a step by step explanation please.
zmey [24]

Answer:

x = -5 or x= 2

Step-by-step explanation:

|-4x-6| = 14

There are two solutions, one positive and one negative

-4x-6 = 14       -4x-6 = -14

Add 6 to each side

-4x-6+6 = 14+6       -4x-6+6 = -14+6

-4x = 20                      -4x = -8

Divide by -4

-4x/-4 = 20/-4               -4x/-4 = -8/-4

x = -5                                x = 2

3 0
3 years ago
Read 2 more answers
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