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Anit [1.1K]
3 years ago
12

What is the measure of ehg?

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
6 0

Answer:

The measure of EHG = 120°

Step-by-step explanation:

There are three vectors originating from point H and joining three points E, F and G.

The given angles between vector HG and HF is 30° and between vector HE = 90°

Therefore,  Angle between vector  HE and HG  =  angle between HE and HF + angle between HF and HG.

∠ EHG = ∠ EHF + ∠ FHG

           = 90° + 30°

           = 120°

The measure of EHG = 120°

Jobisdone [24]3 years ago
4 0
(Answer: 120) angle EHF = 90 degrees+30 degrees=120 angle
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Hip hop music makes up 75% of Landon's music library. If he has downloaded 120 hip hop songs, how many songs does Landon have in
Otrada [13]

Answer: 160 songs.

Step-by-step explanation:

<em>75% hip hop music   -    120 songs </em>

<em>100% all music          -     x songs </em>

<em>Let's write the proportion:</em>

<em />\dfrac{120}{75} =\dfrac{x}{100} \\\\75x=120 \cdot 100\\75x=12000\\75x : 75 = 12000 : 75\\x = 160<em />

<em>Thus, Landon have 160 songs in his music library.</em>

4 0
3 years ago
The length and width of a rectangle are consecutive integers. The perimeter of the
Hunter-Best [27]

The length of the rectangle is 9 feet and the width of the rectangle is 10 feet.

<h3>What is the Perimeter of a Rectangle?</h3>

The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in meters, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.

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Let the length of the rectangle be x feet

Then, the width of the rectangle will be x+1feet

We know that the perimeter of a rectangle is given by

P= 2(l+w)

Here

P= perimeter of a rectangle

l=length of the rectangle

w= width of the rectangle

Put l=x, w= x+1 and P= 38 in the perimeter formula

38 = 2(x+x+1)

Divide both sides by 2

19= x+x+1

19= 2x+1

Subtract 1 from both sides

18=2x

Divide both sides by 2

x=9 feet

This is the length of the rectangle.

Now, the width x+1 of the rectangle will be

9+1 = 10 feet

To know more about the perimeter of a rectangle, visit:

brainly.com/question/2142493

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5 0
1 year ago
3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters
Veseljchak [2.6K]

Answer:

Since the order of choice matters, we will permute the values.                       a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___  ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_<u>4</u>_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with  3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

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Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

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Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

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We could've used the formula for Permutation as well

8 0
3 years ago
Help me please i would appreciate it alot (stop answering with things like 'im not sure' just put those in the comments)
OLEGan [10]
#3 would be positive
3 0
3 years ago
Read 2 more answers
Because of the rainy season, the depth in a pond increases 3% each week. Before the rainy season started, the pond was 10 feet d
Dafna11 [192]

It's not perfectly clear, but you seem to be saying that each week, the
pond becomes 3% deeper than it was THE PREVIOUS WEEK.

If I'm reading that correctly, then the pond is 10-ft deep when the rainy
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After 8 weeks, the depth is        D = 10 (1.03)⁸  =  12.67 feet .

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7 0
3 years ago
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