In the diagram, which two angles are alternate interior angles with angle 14?

4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12.
Angle 4 and Angle 12
Angle 3 and Angle 9
Angle 2 and Angle 10
Angle 12 and Angle 15

Answer:

x<9

Step-by-step explanation:

isolate the x by adding 4 on both sides. then add 4+5 to get 9.

i hope this helps :)

Answer: b = 48 c = 26 d = 106 a = 26

Step-by-step explanation:

Answer:

13 inches

Step-by-step explanation:

A clarinet case is shaped like a rectangular prism the case is 8 inches tall 3 inches wide and has a volume of 312 cubic inches what is the length of the clarinet case

The volume of a rectangular prism = Length × Width × Height

Length of the rectangular prism = Volume/ Width × Height

= 312 in³/ 3 in × 8 in

= 312 in³/24 in²

= 13 in

Length = 13 inches

Answer:

28pi*66/360

Step-by-step explanation

Used the equation Central angle/360*2pi r

Answer:

B) 3x^2+6x+4

Step-by-step explanation:

(6x+7+x^2)+(2x^2-3)

6x+7+x^2+2x^2-3

3x^2+6x+7-3

3x^2+6x+4

The sum of the polynomials is 3x² + 6x + 4.

Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

Given are two polynomials whose sum has to be found.

(6x + 7 + x ²) and (2x² - 3).

The sum of the polynomials is,

(6x + 7 + x ²) + (2x² - 3)

We have to operate the like terms together.

= (6x) + (7 - 3) + (x² + 2x²)

= 6x + 4 + 3x²

= 3x² + 6x + 4

Hence the sum of the polynomials is 3x² + 6x + 4.

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Answer:

(7,0)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

There are 8 consonants (not including y) and only 6 vowels (not including y), so Rosa has a higher probability of winning.

The game is not fair because the probability of Hank drawing a winning letter is less than the probability of Rosa drawing a winning letter.

'Probability is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes to the total number of outcomes.'

According to the given problem,

There are 8 consonants (not including y) and only 6 vowels (not including y), so Rosa has a higher probability of winning.

Hence, we can conclude that the game is not fair the probability of Hank drawing a winning letter is less than the probability of Rosa drawing a winning letter.

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Answer:

Question 11:

[tex]\angle DAC = 53^\circ[/tex]

[tex]\angle AED = 90^\circ[/tex]

[tex]\angle ADC = 74[/tex]

[tex]DB = 16[/tex]

[tex]AE = 6.03[/tex]

[tex]AC = 12.06[/tex]

Question 12:

[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]

Question 13:

AC and BD are perpendicular lines, and they are diagonals

Step-by-step explanation:

Question 11

Given

[tex]\angle BAC = 53^\circ[/tex]

[tex]DE = 8[/tex]

See attachment for Rhombus

Required

Determine the indicated sides

Solving (a): [tex]\angle DAC[/tex]

Diagonal CA divides [tex]\angle DAB[/tex] into 2 equal angles

i.e

[tex]\angle DAC = \angle BAC[/tex]

So:

[tex]\angle DAC = 53^\circ[/tex]

Solving (b): [tex]\angle AED[/tex]

The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.

So:

[tex]\angle AED = 90^\circ[/tex]

Solving (c): [tex]\angle ADC[/tex]

First, we calculate [tex]\angle ADE[/tex], considering [tex]\triangle ADE[/tex]:

[tex]\angle ADE + \angle AED + \angle DAC = 180[/tex]

[tex]\angle ADE + 90 + 53 = 180[/tex]

[tex]\angle ADE + 143 = 180[/tex]

[tex]\angle ADE = -143 + 180[/tex]

[tex]\angle ADE = 37[/tex]

To calculate [tex]\angle ADC[/tex], we have:

[tex]\angle ADC = 2*\angle ADE[/tex]

[tex]\angle ADC = 2* 37[/tex]

[tex]\angle ADC = 74[/tex]

Solving (d): [tex]DB[/tex]

From the rhombus

[tex]DB = DE +EB[/tex]

Where

[tex]DE =EB[/tex]

So:

[tex]DB = 8 + 8[/tex]

[tex]DB = 16[/tex]

Solving (e): [tex]AE[/tex]

To do this we consider [tex]\triangle ADE[/tex]

Using the tan formula

[tex]tan(\angle ADE) = \frac{AE}{DE}[/tex]

[tex]\angle ADE = 37[/tex] and [tex]DE = 8[/tex]

So:

[tex]\tan(37) = \frac{AE}{8}[/tex]

[tex]AE = 8 * \tan(37)[/tex]

[tex]AE = 6.03[/tex]

Solving (f): [tex]AC[/tex]

This is calculated as:

[tex]AC = AE + EC[/tex]

Where

[tex]AE = EC[/tex]

[tex]AC = 6.03 +6.03[/tex]

[tex]AC = 12.06[/tex]

Question 12: Isosceles Triangle

In the rhombus, all 4 sides are equal;

So, the isosceles triangle are:

[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]

Question 13:

AC and BD are perpendicular lines, and they are diagonals

https://courses.lumenlearning.com/prealgebra/chapter/using-properties-of-angles-to-solve-problems/#:~:text=We%20measure%20angles%20in%20degrees,they%20are%20called%20supplementary%20angles.

Answer: do you mean how to find the degree?

Step-by-step explanation:

Count the number of sides in the polygon.

Find the total measure of all of the interior angles in the polygon

Divide the total measure of all of a regular polygon's angles by the number of its angles.

Subtract the sum of the known angles from the total measure of the angles for an irregular polygon.

it really depends

Answer:

that's an adorable little baby.

Step-by-step explanation:

Answer:

its cute

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 is non-linear because it is not a straight line

Answer:

r = the radius, in your case, it's 4 cm. So. Area = π ×r2. = π× (4 cm)2. = 16π cm2 ≈ 50.24 cm2.

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

P(rolling a 3) and P(rolling a 4)

= 1/6 and 1/6

=(1/6)(1/6)

=1/36

Answer:

Step-by-step explanation:

The factors are 9 and 27 are 1,3,9,27

With that, 9/27 is undoubtedly reducible to 1/3

Before now,we were told that when a number divides itself,the result is zero...now,⅜÷⅓ should give us 1 but 3/8×3/1 = 9/8 and 9/8≠1 hence,they aren't same!

Answer:

16.40

Step-by-step explanation:

use Pythagorean theorem

Answer:

√{9×81×9}=√(9²×9²)=±(9×9)=±81

Answer:

your answer will be 81

Step-by-step explanation:

.......

Answer:

34 minus -6 minus= -6

Step-by-step explanation:

Answer:

y=3(50)×

y=3(50) 8

50×3=150

150×8=1,200

Answer:

2

Step-by-step explanation:

Let the two consecutive integers be x , x+1

Sum : x + x +1 = 2x + 1

Difference: (x +1) - 1 = x + 1 - 1 = x

Sum = 3 times their difference

2x + 1 = 3 * x

2x + 1 = 3x    

      1 = 3x - 2x

     1 = x

The numbers are 1 , 2

Answer:

Step-by-step explanation:

From the table we see that:

If you have t minutes to complete the test then required inequality is:

The sets of side lengths that can produce a triangle are

The triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

That is, in a given triangle of sides a, b and c,

a + b ≥ c

Analysing the sets of the side lengths given,

In triangle 2 cm, 7 cm, and 6 cm,

2 + 6 = 8,

Therefore 8cm which is greater than the third side being 7cm makes this side lengths possible to produce a triangle.

In triangle 2 m, 5 m, and 7 m,

2 + 5 = 7

Addition of both sides of the triangle is equal to the third side being 7m.

In triangle 6 ft, 6 ft, and 12 ft,

6 + 6 = 12

Addition of both sides of the triangle is equal to the third side being 12ft

Therefore the sets of side lengths could produce a triangle are

2 cm, 7 cm, and 6 cm

2 m, 5 m, and 7 m

6 ft, 6 ft, and 12 ft

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Answer:

yes

Step-by-step explanation:

from sss axiom

we can say that they are congurqnt

Answer:

The area of a square with side length of 2 inches is 4 square inches.

The area of a circle with radius 1.2 inches is:

[tex]\pi \times (1.2) ^{2} \\ = 3.14 \times 1.44 \\ = 4.5216 \: square \: inches[/tex]

That is approximately 4.5 square inches.

Hence, the area of the square (4) is less than {<} that of the circle (4.5)!

Answer:

8x-10 B=3x+90

Answer:

cos60⁰=3/y

y×cos60⁰=3

y=3/cos60⁰

y=3/0.5

y=6

y²=x²+3²

6²=x²+3²

36=x²+9

x²=36-9

x²=27

x=square root of 27

x=5.19