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RSB [31]
3 years ago
13

What is the measure of DEF

Mathematics
2 answers:
Daniel [21]3 years ago
8 0

<em>Answer:</em>

<em>1</em><em>0</em><em>5</em><em>°</em>

<em>Solution</em><em>,</em>

<em>let \:  < def \: be \: x \\ x  + 28 + 47 = 180 \\ or \: x + 75 = 180 \\ or \: x = 180 - 75 \\ x = 105 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment</em>

den301095 [7]3 years ago
4 0

The total angle of a triangle is 180°. Using this we can find the angle DEF(x).

180=28+47+x

180=75+x

180-75=x

105=x

SO angle DEF=105°

Hope it helps!!

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Y= -7x-2<br> y+ 3 = -7x + 1<br> (<br> 2,3)<br> no solution<br> an infinite number of solutions
Naya [18.7K]

Answer:

Infinite number of solutions.

Step-by-step explanation:

y = -7x - 2

y + 3 = -7x + 1

Subtract 3 from both sides:

y = -7x - 2

- this is the same as the first equation.

We can put any number of valid combinations of x and y into this equation.

So there are infinite solutions.

8 0
3 years ago
6. Write an equation of a line that is Parallel to the line: y = 3x -3
jeka94

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

\rm\implies y = 3x - 3

<u>Slope </u><u>Intercept</u><u> Form</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies y = mx + c

where ,

  • m is slope
  • c is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

<u>Using</u><u> point</u><u> slope</u><u> form</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies y - y_1 = m ( x - x_1)  \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}

3 0
3 years ago
20 pounds of $4 written as a unit rate ​
borishaifa [10]

Answer:

20 pounds divided by $4= 5

Step-by-step explanation:

4 0
3 years ago
Express (25 1/2) ^3 in simplest radical form
Mkey [24]

Step-by-step explanation:

i think this is the answer if it's wrong I'm sorry

5 0
2 years ago
Find an explicit formula for the geometric sequence -1,-7,-49,-343,.... Note : the first term should be d(1) . d(n) =
n200080 [17]

Answer:

<h3>dn = -7^n-1</h3>

Step-by-step explanation:

Given the sequence -1,-7,-49,-343,....

We are to find the nth term of the sequence

dn = ar^n-1

a is the first term = -1

r is the common ration = -7/-1 = -49/-7 = 7

n is the number of terms

Substitute

dn = -1(7)^n-1

dn = -7^n-1

hence the nth term of the sequence is dn = -7^n-1

4 0
3 years ago
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