The numbers 1-6 are written on slips of paper and placed in a bag. Megan draws two numbers in a row withou replacement. What is the probability of Megan selecting an even number followed by a 3?

Answer:

m∠A = 115°

m∠C = 50°

Step-by-step explanation:

By triangle sum theorem,

Sum of measures of all interior angles of a triangles equals to 180°.

m∠A + m∠B + m∠C = 180°

By substituting the values of the angles from the given table,

(4x - 13) + 15 + (x + 18) = 180

(4x + x) + (-13 + 15 + 18) = 180

5x + 20 = 180

5x = 180 - 20

x = [tex]\frac{160}{5}[/tex]

x = 32

m∠A = (4x - 13)° = 4(32) - 13

                          = 115°

m∠C = (x + 18)° = 32 + 18

                         = 50°

Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5

According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:

(4 · x - 13) + 15 + (x + 18) = 180

5 · x + 20 = 180

5 · x = 160

x = 32

Finally, the measure of the angles A and C from the triangle ABC are, respectively:

m ∠ A = 4 · 32 - 13 = 115°

m ∠ C = 32 + 18 = 50°

Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5

To learn more about triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823 #SPJ5

Answer:

C. CD and DH

D. EH and GH

F. AD and DH

H. AB and BC

K. FG and EF

Step-by-step explanation:

hope this helps

Answer:

40 cm is 8% of 5 m

Step-by-step explanation:

40 cm / 5m

= 40cm / 500cm

= 4/50

= 2/25

= 8%

Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.

Answer:

y = 2x + 4

Step-by-step explanation:

To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.

1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.

y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.

2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.

3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).

Answer:

1 2/7

Step-by-step explanation:

i did the math :) ................

Answer: If the sin 60 degrees is 3/2, then the cost is 22 degrees and equals a bunch of like 88 degrees

Step-by-step explanation:

Answer:

(B). 50°

Step-by-step explanation:

(5x + 55)° = (2x + 100)°

5x + 55 = 2x + 100

5x - 2x = 100 - 55

3x = 45

x = 15

5(15) + 55 = 130°

m∠2 = 180° - 130° = 50°

Answer:

8/9

Step-by-step explanation:

2/3 ÷ 3/4

2*4/(3*3)

8/9

Answer:

Angle 1: 68

Angle 2: 136

Angle 3: 46

Answer:

package with 2.09 pounds

Step-by-step explanation:

When rounding to the nearest whole number, if the first number after the decimal point is equal or greater than 5, add 1 to the number before the decimal. If this is not the case, add 0 to the number before the decimal point.

to round 2.56 to the nearest whole number equals 3.

While to round 2.09 to the nearest whole number equals 2.

Because Emma needs 2 pounds, she would go with 2.09 pounds

Answer:

2<a<5

Step-by-step explanation:

Answer:

x = -2, -6

Step-by-step explanation:

I used a site called tiger algebra to solve this so I don't know how, but I hope this helped you anyway. :)

Answer:

Summary:

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other.

As

The parallelogram PQRS is given, so

RT = TP

Given

plug in RT = x and TP = 5x-28 in the equation RT = TP

RT = TP

x = 5x-28

switch the sides

5x-28 = x

adding 28 in both sides

5x-28+28 = x+28

simplify

5x = x+28

subtract x from both sides

5x-x = x+28-x

4x = 28

divide boh sides by 4

4x ÷ 4 = 28  ÷ 4

simplify

x = 7

Therefore, we conclude that the value of x is: x = 7

Similarly,  

QT = TS

Given

plug in QT = 5y and TS = 2y+12 in the equation QT = TS

QT = TS  

5y = 2y+12

subtract 2y from both sides

5y - 2y = 2y+12-2y

simplify

3y = 12

divide both sides by 3

3y ÷ 3 = 12 ÷ 3

simplify

y = 4

Therefore, we conclude that the value of y is: y = 7

Summary:

Answer:

Volume = 1436.8 cm³

Step-by-step explanation:

Formula for the volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = radius of the sphere

For a sphere which has the radius = 7 cm

Volume of the sphere = [tex]\frac{4}{3}\pi (7)^3[/tex]

                                     = 1436.76

                                     ≈ 1436.8 cm³

Therefore, volume of the sphere is 1436.8 cm³.

Answer:

b

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Slope = 3

(-4, - 3) (6, k)

(y2 - y1) /(x2 - x1) = 3

(k + 3) / (6 + 4) = 3

(k +3) / 10 = 3

k + 3 = 30

k = 30 - 3

k = 27

Let's simplify step-by-step.

−3x2−5x2(4x3−x2)(2)

Distribute:

=−3x2+−40x5+10x4

Answer:

=−40x5+10x4−3x2

Answer:

Number of free throws =  9

Step-by-step explanation:

Given that:

Kylie made 18% of her free throws.

Number of attempts = 50

Based on the information, she will make out 18% free throws.

Number of free throws = 18% of 50

Number of free throws = [tex]\frac{18}{100}*50[/tex]

Number of free throws = 0.18 * 50

Number of free throws = 9

Hence,

Number of free throws =  9

Answer:

i dont know what you need 35% as but..

Step-by-step explanation:

Decimal : 0.35

Fraction: 7/20

Answer:

54

Step-by-step explanation:

x+2x+2x=5x

90/5=18

18*3=54

Answer:

The answer is 54.

Step-by-step explanation:

Ok buddy

‣Remember that a right angle equals 90 degrees.

‣The numbers lie on a right angle.

‣So watchya gonna do is combine the like terms.

[tex]x + 2x + 2x = 5x[/tex]

‣In an equation, that finna look like:

[tex]5x = 90[/tex]

‣Solve that equation

[tex] \frac{5x}{5} = \frac{90}{5} \\ \\ x = 18[/tex]

‣Therefore, the value of x is 18.

‣We trynna find 3x so plug it.

[tex]3x \\ 3(18) \\ 54[/tex]

‣That fr is the answer, 54.

Step-by-step explanation:

Decreased by 92% = 8% of original

8% of original value = New value = 13.12

100% of original value = 13.12 * (100/8) = 164.

The original value is 164.

Answer:

the third side could be 8 or 2

Step-by-step explanation:

Answer:

6 < x < 14;   answer = 8

Step-by-step explanation:

triangle inequality theorem: sum of any two sides must be greater than the third side

4 + 10 > x         x < 14

10 + x > 4         x > 6

Answer: 150 wpm

Step-by-step explanation:

if he reads 1,500 words in 10 minutes, then we simply divide 1500 by 10, in order to get how many words that he can read in one minute.

1500/10 = 150

Answer:

B

Step-by-step explanation:

Answer:

8 shelves

Step-by-step explanation:

First do 378 divided by 50 then you when you get your answer (with remaining numbers) you add one more book case so 378 divided by 50 is 7 then you have a remainder 28 so add another shelf which is now 8 shelves!

Answer:

28 inches long

Step-by-step explanation:

just multiply 7 and 4

Answer:

the rate of change is -5.

Step-by-step explanation:

y = -5x - 3

-5 = rate of change

-3 = x intercept

Answer:

20 turtles

Step-by-step explanation:

40 divide 2 = 20