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Sedaia [141]
3 years ago
7

Find the gfc of 56 and 46

Mathematics
1 answer:
icang [17]3 years ago
4 0
It’s 28 and 23, 28 for 56 and 23 for 46, Hope I helped!
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Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of an
Gnoma [55]

Answer:

<h3>             The true statement is the first:</h3><h2>         Measure of angle A = 20 degrees</h2>

Step-by-step explanation:

The sum of the measure of the interior angles in a triangle is 180°

m∠A + m∠B + m∠C = 180°

(2x)° + (5x)° + (11x)° = 180°

   (18x)° = 180°

       x = 10

A = (2×10)° = 20°     {<u>the first statement is true}</u>

B = (5×10)° = 50°      {the second statement is false}

C = (11×10)° = 110°

m∠A + m∠B = 20° + 50° = 70° ≠ 90°   {the third statement is false}

m∠A + m∠C = 20° + 110° = 130° ≠ 120°   {the fourth statement is false}

3 0
2 years ago
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What is the solution for x in the equation?
RideAnS [48]
The answer would be B 21/4
4 0
2 years ago
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Which pair of the following tests is used to test for normality?
marissa [1.9K]

Answer: the answer is b( a quantile - quantile plot and a p- value test

Step-by-step explanation:

8 0
3 years ago
Learning Task 3
ASHA 777 [7]

Answer:

1. The sides are: 38.5, 39.5, 40.5 and 41.5

2. Presently, Inzo is 15 years old and Miz is 10 years old

3. Distance = 3682km

4. Possible pairs are: (12, 14), (16, 18) and (20, 24)

5. L < 38m

Step-by-step explanation:

The question has lots of missing details. See the comment section for complete question

Solving (a):

Given

Shape: Quadrilateral

Sides: Consecutive

Perimeter = 160

Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.

So, the perimeter is:

Perimeter = x + x + 1 + x + 2 + x + 3

This gives:

160 = x + x + 1 + x + 2 + x + 3

Collect Like Terms

160 -1-2-3= x+x+x+x

154= 4x

Divide both sides by 4

38.5 = x

x =38.5

<em>So, the sides are: 38.5, 39.5, 40.5 and 41.5</em>

<em></em>

Solving (b):

Given

Presently: Inzo = 10 + Miz

Five years ago: Miz - 5= \frac{1}{3} * (Inzo-5) --- (Missing from the question)

Required: Determine their present ages

Substitute 10 + Miz for Inzo in the second equation

Miz - 5 = \frac{1}{3} * (10 + Miz - 5)

Miz - 5 = \frac{1}{3} * (Miz + 5)

Multiply both sides by 3

3Miz - 15 = Miz + 5

Collect Like Terms

3Miz -Miz = 15  + 5

2Miz= 20

Divide both sides by 2

Miz = 10

Substitute 10 for Miz in Inzo = 10 + Miz

Inzo = 10 + 5

Inzo = 15

<em>So presently, Inzo is 15 years old and Miz is 10 years old</em>

Solving (3):

Given

Express Train:

Speed = 100kph

Time = t

Local Train:

Speed = 45kph

Time = t + 45

Required: Determine the distance between A and B

Distance is calculated as:

Distance = Speed * Time

For the express train:

Distance = 100 * t

For the local train

Distance = 45 * (45 + t)

Distance between both stations are equal; So,

100 * t = 45 * (45 + t)

100 t = 2025 + 45t

Collect Like Terms

100 t -45t= 2025

55t= 2025

Divide by 55

t = 36.82

Substitute 36.82 for t in Distance = 100 * t

Distance = 100 * 36.82

Distance = 3682km

Solving (4):

Let the even numbers be: n and n + 2.

Sum greater than 24: n + n + 2 > 24

Sum less than 60: n + n + 2 < 60

So, we have:

n + n + 2 > 24

2n + 2 > 24

Collect Like Terms

2n > 24-2

2n > 22

n > 11

n + n + 2 < 60

2n + 2< 60

Collect Like Terms

2n < 60-2

2n < 58

Divide by 2

n

So, we have:

n > 11 and n < 29

So, possible pairs are: (12, 14), (16, 18) and (20, 24)

Solving (5):

Given

Perimeter < 152m

Required: Find the possible lengths

Let the length be L.

Perimeter is calculated as:

Perimeter =4 * L

Perimeter =4  L

So, we have:

4L < 152m

Divide through by 4

L < 38m

Hence, length is less than 38m (e.g. 37m)

5 0
2 years ago
Rewrite the parametric equations by eliminating the parameter. Select ONE.
Vinil7 [7]

Answer:

Y=(X-7)/2

Step-by-step explanation:

we have

X=2t+3 -----> equation A

Y=t-2 -----> t=Y+2 -----> equation B

Substitute equation B in equation A

X=2(Y+2)+3

X=2Y+4+3

X=2Y+7

solve for Y

2Y=X-7

Y=(X-7)/2

6 0
2 years ago
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