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4 years ago

Could someone help me out with these problems? Sorry

Mathematics

1 answer:

AleksandrR [38]4 years ago

8 0

Answer:

3. 63°

4. x = 13

Step-by-step explanation:

3. The exterior angle is equal to the sum of the opposite interior angles.

118° = (4x +7)° + (6x -9)°

120 = 10x . . . . . . . . . divide by °, add 2

12 = x

m∠K = (6x -9)° = (6·12 -9)°

m∠K = 63°

4. Corresponding angles are congruent, and the sum of angles in a triangle is 180°.

74° + (5x)° + (3x+2)° = 180°

8x = 104 . . . . . . . . . . . . . . . divide by °, subtract 76

x = 13 . . . . . . . . . . . . . . . . . .divide by 8

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Really need some help<br><br>Use the diagram below. Write AD/AB in simplest form.

Marysya12 [62]

Answers:
_____________________________________________________
Question # 1) from first graph:
_____________________________________________________
The answer is: " 3 " .
_____________________________________________________

→   $\frac{AD}{AB}$ ; in  "simplest form" , is:  " 3 " .

_____________________________________________________
Question #2)  from second graph:
_____________________________________________________
The answer is: " 4 " .
_____________________________________________________ → " (the slope of BE) over (the slope of AE) " ;

   that is:  " (the slope of BE) / (the slope of AE) " ;

in "simplest form" ,  is: " 4 " .
_____________________________________________________

Explanation:
_____________________________________________________
For Question #1)

AD = 9 units (counted from the "attached graph").

AB = 3 units (counted from the "attached graph").
_____________________________________________________
We are asked to write: "AD over AB" ; in "simplest form" ;

→ AD/AB = " 9/3 " = " (9÷3) / (3÷3) " = "(3/1)" = " 3 ÷ 1 " = 3 .
_____________________________________________________
→ The answer is: " 3 " .
_____________________________________________________ →  "AD over AB" ; in "simplest form" ; is: " 3 " .
_____________________________________________________
→ AD/AB = " 3 " .
_____________________________________________________

Question 2): From second graph:
_____________________________________________________
Find the: " (slope of BE) / (slope of AE) " ; in "simplest form" :

From examination of the "second graph attached" :
_____________________________________________________
The "slope of BE" = rise/ run = 5/1 .

The "slope of AE" = rise/ run = 5/4 .
_____________________________________________________

So: "(the slope of BE) / (the slope of AE) ;

= (5/1) / (5/4) ;


= $\frac{5}{1}$ ÷ $\frac{5}{4}$ ;

→ To divide a fraction, you multiply the "reciprocal of the fraction; as follows:

= $\frac{5}{1}$ * $\frac{4}{5}$ ;

→ Both " 5 's " cancel out to " 1 "; since: "{5 ÷ 5 = 1 }" ;

→ And we can rewrite as:

= $\frac{1}{1}$ * $\frac{4}{1}$ ;

___________________________________________________________

= 1 * 4 ;

= " 4 " .
___________________________________________________________
→ The answer is: " 4 " .
___________________________________________________________ → "AD over AE" ; in "simplest form" ; is: " 4 " .
___________________________________________________________

7 0

3 years ago

A car has a 12-volt battery. The engine has a resistance of 0.22 ohms. How many amps will be drawn from the battery when the key

scZoUnD [109]

Answer:

54.5 amps to the nearest tenth.

Step-by-step explanation:

V = IR where V = volts, I = current and R = resistance.

12 = I * 0.22

I = 12/0.22

I = 54.5 Amps.

7 0

4 years ago

Ray GI bisects ∠DGH so that m∠DGI is 3x-9 and m∠IGH is 2x + 21. Find the m< DGI.

boyakko [2]

Answer:

Since GI bisects that means the angle is cut into 2 equal angles or

DGI = IGH

x - 3 = 2x - 13

Solve for x

13 - 3 = 2x - x

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x = 10

8 0

3 years ago

Read 2 more answers

The amount of money raised at a school fundraiser is directly proportional to the number of people who attend. Last year the amo

sweet-ann [11.9K]

Answer:

Amount of money raised for 875 people=A=$21,875

Step-by-step explanation:

This can be expression in the equation, A=k.N;

Where;

A=Amount of money raised=$2500

k=Constant of proportionality(Amount of money per attendee)

N=Number of attendees=100

Replacing in the expression;

Amount of money raised=K×Number of people who attend

2500=K×100

K=(2500/100)=25

Amount of money per attendee=K=$25 per attendee

How much money was raised for 875 people?

Using the expression, A=k.N

where;

Number of people (N)=875

k=25

Replacing;

A=(25×875)=$21,875

Amount of money raised for 875 people=A=$21,875

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3 years ago

What food resources can be harvested from the ocean?

OverLord2011 [107]

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4 years ago