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nika2105 [10]
3 years ago
6

What is m∠DHG? Enter your answer in the box.

Mathematics
2 answers:
pentagon [3]3 years ago
8 0

Answer:

72

Step-by-step explanation:

Just took the test hope this helps :)

LenaWriter [7]3 years ago
6 0

the 2 equations given are vertical angles which mean they would equal the same.

Set the two equations to equal each other to solve for x:

6(x-2) = 3x+30

Simplify the left side:

6x-12 = 3x+30

Add 12 to eac side:

6x = 3x+42

Subtract 3x from each side"

3x = 42

Divide both sides by 3:

X = 42/3

X = 14


Now you know X, replace x with 14 in the equation for DHG:

DHG = 6(x-2)

6(14-2)

Simplify:

6(12)

Multiply:

72

Angle DHG is 72 degrees.

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Write an equation of a line that is parallel to the line y<br> 4x +3
maxonik [38]

Answer:

y=4x+4

Step-by-step explanation:

There are infinite answers

All you have to do is changed the last number 3, to any real number greater or less than 3

4 0
3 years ago
A sum of money is divided in the ratio 2 : 3 : 7 .Given the largest share is $112,calculate the smallest share.
emmasim [6.3K]

Answer:

$32

Step-by-step explanation:

A sum of money is divided in the ratio 2:3:7.

Let the share of each individual be represented by 2x,3x,7x respectively.

The largest share (7x) is given as $112.

\[7x = 112\]

\[=>x = \frac{112}{7}\]

\[=>x = 16\]

So the respective shares are \[2\times16,3\times16,7\times16\]

In other words, the shares are 32,48,112.

So the smallest share is $32

4 0
3 years ago
What is a solid figure with two parallel congruent bases joined by a rectangular faces is a?
Viefleur [7K]
I want to say either rectangular prisim or triangle pyrimad
3 0
3 years ago
What is the length of the major axis of the conic section shown below?
sveticcg [70]

\dfrac{(x-2)^2}{49}+\dfrac{(y+5)^2}{36}=1

The equation of a elipse:

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

The length of the major axis is equal 2a if a > b or 2b if b > a.

We have

a^2=49\to a=\sqrt{49}=7\\\\b^2=36\to b=\sqrt{36}=6\\\\a > b

therefore the length of the major axis is equal 2 · 7 = 14.

7 0
3 years ago
Find the area of the circle.<br> 12 ft
Ratling [72]

Answer:

  • Area of the circle is 113.04 ft²

Step-by-step explanation:

Given:

  • Diameter of circle = 12 feet

To Find:

  • Area of the circle

Using formula:

\\ \:  \: \dashrightarrow \:  \:  \:{\underline{\boxed{  \bf{Area_{( circle)} = \pi r^2}}}} \\ \\

<em>Where,</em>

  • π = 3.14
  • Diameter = 12 feet
  • Radius = 12/2 = 6 feet

On substituting the required values, we get:

\\   \:  \: \dashrightarrow \:  \:  \:  \sf Area_{(Circle)} =    3.14 \times  {(6)}^{2}  \\  \\  \\ \:  \: \dashrightarrow \:  \:  \:  \sf Area_{(Circle)} =   3.14 \times 36 \\  \\  \\ \:  \: \dashrightarrow \:  \:  \:  \sf Area_{(Circle)} =  113.04 \:  {ft}^{2}  \\  \\  \\

Hence,

  • Area of the circle is<u> </u>113.04 ft²
3 0
2 years ago
Read 2 more answers
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