Mathematics College

Find the missing measurement in the figure below (angles 1-6)

Answers

Answer 1

Using angle rules, the values of angles 1 to 6 are 64, 53, 116, 89, 32 and 44 respectively.

Angle 1

Angle 1 + 69 + 47 = 180 (sum of angles on a straight line)

Angle 1 = 180 - (69+47)

Angle 1 = 64°

Angle 2

Angle 2 + 64 + 63 = 180 (sum of angles in a triangle)

Angle 2 = 180 - (64+63)

Angle 2 = 53°

Angle 3

Angle 1 + Angle 3 = 180 (sum of angles in a triangle)

Angle 3 = 180 - 64

Angle 3 = 116°

Angle 6

Angle 6 + 136 = 180 (sum of angles on a straight line)

Angle 6 = 180 - 136

Angle 6 = 44°

Angle 5

Angle 5 + Angle 3 + 32 = 180 (sum of angles in a triangle)

Angle 5 + 116 + 32 = 180

Angle 5 = 180 - (116 + 32)

Angle 5 = 32°

Angle 4

47 + Angle 6 + Angle 4 = 180

47 + 44 + Angle 4 = 180

Angle 4 = 180 - 91

Angle 4 = 89°

Therefore, the values of angles 1 to 6 are 64, 53, 116, 89, 32 and 44 respectively.

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Related Questions

Pls help - Use the given functions to find each value and show your work

Answers

By using the given functions, each output value are as follows;

a. f(-5) = -13.

b. g(3) = -18.

c. 3g(1) - 4 = -10.

d. 2f(3) + g(2) = 14.

e. x = ±√8i or ±2√2i.

How to determine the corresponding output value for this function?

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) under the given mathematical operation and independent variable.

Part a.

When x = -5, the output value for f(-5) is given by;

f(x) = 3x + 2

f(-5) = 3(-5) + 2

f(-5) = -13.

Part b.

When x = 3, the output value for g(3) is given by;

g(x) = -2x²

g(3) = -2(3)²

g(3) = -18.

Part c.

3g(1) - 4

3[-2(1)²] - 4

-6 - 4 = -10

Part d.

2f(3) + g(2)

2[3(3) + 2] + [-2(2)²]

22 - 8 = 14

Part e.

g(x) = 16

-2x² = 16

x² = -8

x = ±√8i or ±2√2i.

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I buy 4 5/8 blue fabric and 2 1/8 green fabric how much blue than green did i buy

Answers

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

¿De qué número 64 es el 80%?

Answers

80 is the number 80*.8=64

After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days?

Points given: 20

Answers

To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.

Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.

66.67% of 45 cents is (66.67/100) * 45 = 30 cents.

So, Naruto spends 30 cents on ramen per day.

To find out how much he spends in 15 days, we multiply the daily cost by the number of days:

30 cents * 15 = 450 cents.

Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.

Find the slope-intercept equation of the line that has the given characteristics.
Slope 8 and y-intercept (0,9)

Answers

The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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Given: Angle1 and Angle2 are supplements, and Angle3 and Angle2 are supplements.

Prove: Angle1 Is-congruent-to Angle3

Three separate angles are shown. They are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.

By the definition of
angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles
is 180 degrees. By the
property, mAngle1 + mAngle2 = mAngle3 + mAngle2. Subtract the measure of angle
from each side. You get mAngle1 = mAngle3, or Angle1 Is-congruent-to Angle3, by the definition of congruence.

Answers

The missing parts of the proof of supplementary angles are:

Supplementary; ∠2 and ∠3; substitution; 2.

How to Identify the supplementary angles?

Supplementary angles are defined as angles whose measures sum to 180°. Thus this is the first answer.

Since we are told that ∠2 and ∠3 are supplementary, their measures sum to 180° and they are the second answer.

We know that m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°. We can substitute "m∠2 + m∠3" for 180° in the first equation; this is the substitution property.

To isolate m∠1 on the right, we will subtract m∠2 from each side, and get that m∠1 = m∠3 and the angles are congruent.

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