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Svetradugi [14.3K]
3 years ago
9

Find the value of x in each case.

Mathematics
2 answers:
velikii [3]3 years ago
3 0

Answer:

x=11

Step-by-step explanation:

Due to angles DCA and CAB being Alternate Interior Angles, we know that they will be equal. This means that

DCA=33°

Next, we can find the measure of the angle DCE.

Angles BCE and BCA are supplementary. This means that they will add together to be 180°

This means that 180-BCE=BCA

Which means BCA=180-5x

As all of the angles in a triangle must add together to be 180 degrees, we can set up the following equation

33+180-5x+2x=180\\213-3x=180\\3x=33\\x=11

dsp733 years ago
3 0

Answer:

x=11°

Step-by-step explanation:

If you do the math right you get 33=3x which then makes x=11

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Solve each of the following equations for xx using the same technique as was used in the Opening Exercise.
aleksandrvk [35]

Answer:

The value of x is 3/2.

Step-by-step explanation:

Given data in the question:-

3^2^x=27

We have to find the value x.

Let 3^2^x=27 be eq(i).

Solving eq (i)

3^2^x=3^3

using the properties of the exponents we have

if aⁿ=aˣ

then n=x

2x=3\\x=3/2

Hence the answer is 3/2.

4 0
3 years ago
Point A is (-7, 5) and point M is at (0, 4)
Tom [10]

Answer: (7,3)

Step-by-step explanation:

7 0
3 years ago
1.22 on a candy bar, $1.48 on yogurt, $7.98 on a pizza, and $2.79 on bread. If she pays with a $20 bill, how much change will sh
serious [3.7K]

Answer:

She'll receive $6.53.

Step-by-step explanation:

First add everything she purcahsed.

1.22 + 1.48 + 7.98 + 2.79 = 13.47

Then subtract that from how much she paid.

20 - 13.47 = 6.53

So 6 dollars and 53 cents.

7 0
3 years ago
Read 2 more answers
Marcus has 2 3/5 gallon of blue paint.He will use 7/10 of the paint for his room.how much blue paint will Marcus use for his roo
yarga [219]

Answer:

1.82 gallon or 6.9 litres

Step-by-step explanation:

Given

Gallon of blue paint= 2   3/5  =  (5*2+3)/5 = 13/5 gallon

Fraction of paint used in painting the room = 7/10 of paint available

                                                                     = 7/10 * 13/5 =91/50 gallon

                                                                        = 1 41/50 gallon = 1.82 gallon

**converting gallon into litres

one gallon is equal to 3.79 litres

hence 91/50 gallon = 91/50*3.79 litres = 6.9 litres

8 0
3 years ago
What coordinate pair satisfies both 5x - 3y=22 and -4x + y=-19​
Arlecino [84]

Answer:

hello : coordinate pair is:  (5 ; 1)

Step-by-step explanation:

you have this system :

5x - 3y=22 ......(1)

-4x + y= -19​.....(2)

by (2) : y = 4x -19

put y in (1) : 5x - 3 (4x -19) =22

5x -12x +57 = 22

- 7x = -35

x = 5

but : y = 4x -19  so : y = 4(5) -19   = 1

coordinate pair is:  (5 ; 1)

6 0
3 years ago
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