Find m.

3 1/3 7 1/2 1 19 1/5

Answer:

Step-by-step explanation:

Answer:

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

Step-by-step explanation:

There are several useful rules regarding angles:

This last observation is a consequence of the 2nd and 3rd observations.

__

angle ECD

Using the last observation, ∠ECD = 124° -90° = 34°.

angle HGB

Again, using the last observation, ∠HGB = 110° -90° = 20°.

angle GBH

There are at least a couple of ways to find this one. We assume that lines FB and EC are parallel, so angles HBC and ECD are corresponding, hence congruent. Angle GBC is the supplement of of 110°, so is 70°. Then ...

  ∠GBH = 70° -34° = 36°

angle FGH

Again, this angle can be found multiple ways. Here, we'll use the sum of angles in triangle FGB.

  ∠FGB +∠GBF +∠BFG = 180°

  (∠FGH +∠HGB) +∠GBF +∠BFG = 180°

  ∠FGH +20° +36° +87° = 180°

  ∠FGH = 180° -143° = 37°

__

Least to greatest, the angles are ...

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

Step-by-step explanation:

\( \frac{2}{3} \div \frac{5}{6} \\ {doing \: reciprocal \:} \\ \frac{2}{3} \times \frac{6}{5} \\ \frac{4}{5} \)

Hope it will help :)

Answer:

4/5

Step-by-step explanation:

2/3÷5/6

2/3×6/5

2×6/3×5

12/3×5

12/15

4/5

Step-by-step explanation:

Answer:

The answer is 109

Step-by-step explanation: i'm too lazy to explain the math but that's the answer ψ(._. )>

Hence, the total savings in the account of Martin is $\(109\).

What are the savings?

Savings refers to the money that a person has left over after they subtract out their . Savings are kept in the form of cash.

Here given that,

Martin spent $\(68\) on a new drone that he had been saving for now he has $\(41\) left in his savings.

So, the total savings of Martin is

\(68+41=109\)

Hence, the total savings in the account of Martin is $\(109\).

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Answer:

\(6\sqrt{3}\)

Step-by-step explanation:

because of the 90-60-30 theorem

which \(6*\sqrt{3}=6\sqrt{3}\)

Answer:

Well, according to the question, option D is the main answer

The formula relating future value and present value is given as:

Where,

• FV is the future value

• PV is the present value

• r is the rate of interest

• n is the number of periods interest held.

Rewrite the rate as a decimal:

Substitute FV=8600, r=0.095, n=5 into the formula:

Simplify the equation and solve for PV:

Hence, the present value is about $5,462.96.

Answer:

There are 63 M&M's in the bag when all of them are added together.

16 out of 63 (16/63) were yellow.

5 out of 21 (5/21) were green. This answer is simplified. The original is 15/63.

1 out of 3 (1/3) were brown. This answer is simplified. The original is 21/63.

11 out of 63 (11/63) were red.

Tip:

To find the fraction of something, put the total on the bottom and the wanted portion on the top.

Example: 5 yellow and 10 red birds were in a cage. Which fraction were yellow?

We put the total of birds (5+10 = 15) on the bottom and the portion wanted ("5 yellow") on the top. The fraction is 5 out of 15 (5/15). This fraction can be simplified because 5 goes into 15 three times (5 x 3 = 15), so divide the fraction 5/15 by 3 to get 1/3. (5 goes into 5 one time.)  

Answer

2

Step-by-step explanation:

6+2=8     15/5*2=6       8-6=2

Answer:

-1  2/3

Step-by-step explanation:

Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

=====================================

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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Answer:

44.82

Step-by-step explanation:

29.88 divided by 4 is 7.47 times 6 is 44.82

Answer:

44.82$

Step-by-step explanation:

4:29.88

6:x

4x=179.28

x=44.82$

Answer: buy all the crop tops

Step-by-step explanation:

Answer:

Well with that amount of money u should most definitely buy them, if you liked the of course

Step-by-step explanation:

I'm just saying

The composition of transformation shown in the image attached is

In mathematics, a transformation refers to a change in the position, size, shape, or orientation of a geometric figure or mathematical function. Geometric transformations can be applied to shapes, such as

In the figure the first transformation is rotation about the origin 90 degrees clockwise

The second transformation, is reflection across the x axis

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Answer:

-------------------------

Apply the Triangle Inequality Theorem.

It states that:

We'll take the sum of two shortest sides and compare with the longest:

It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.

The matching answer choice is e).

Answer:

9

Step-by-step explanation:

81 / 9 = 9

81 crayons and each student gets 9.

9x9=81

Answer:

c is true

Step-by-step explanation:

Answer:

Step-by-step explanation:

the degree of a polynomial determines 1:1 the number of solutions.

a quadratic equation (degree 2) has 2 solutions.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -4

b = -4

c = -1

so,

x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)

when we look at the square root

16 - 16

we see that it is 0.

the square root of 0 is 0, and there is no difference between -0 and +0.

so, we get only one (real) solution : 4/-8 = -1/2

but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.

so, I am not sure what your teacher wants to see in this case as answer.

my answer would be 2 real identical solutions. did this help?

Answer:

If two points that are coplanar are also __ collinear

Answer:

First of all what are those white figure?

Answer: 36 cubic feet

Step-by-step explanation:

Answer:

3x times 3x

Step-by-step explanation:

Complete question :

Sam knows that his MP3 player has 40% of its battery life left and that the battery

charges by an additional 12 percentage points every 15 minutes. What percent of

the mp3's battery will be charged when Sam and his family leave? If mp3 was plugged in an hour before his family plan to leave.

Answer:

88%

Step-by-step explanation:

Time before leaving = 1hour

Current percentage = 40%

Charge rate = 12% every 15 minutes

Therefore,

Charge rate per minute :

12% / 15 = 0.8% per minute

Charge recieved after one hour (60 minutes) :

0.8% * 60

= 48%

Therefore, total charge after just before leaving is:

Current percentage + percentage received

40% + 48%

= 88%

How much more will you have in your RRSP in 23 years if you start investing $1,100 at the end of each month now instead of waiting 3 years to begin contributing the same $1,100 at the end of each month? Interest is 6.6% compounded monthly.

Remember that

The formula for the future value of an ordinary annuity is equal to:

Part 1

start investing $1,100 at the end of each month now

we have

P=$1,100

r=6.6%=0.066

n=12

t=23 years

substitute in the given formula

FV=$708,830.05

Part 2

waiting 3 years to begin contributing the same $1,100 at the end of each month

we have

P=$1,100

r=6.6%=0.066

n=12

t=20 years

substitute in the given formula

FV=$545,981.37

Part 3

Find out the difference

$708,830.05-$545,981.37=$162,848.68

therefore

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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First, let's write the following words into an expression:

"The product of a number and five" -> 5x.

The result of this product is equal to "two less than the number", which is represented by "x - 2"

Now, creating the equation, we have:

Therefore the correct option is the third one.