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Fofino [41]
3 years ago
13

BRAINLIESTT ASAP! PLEASE HELP ME :) thanks!

Mathematics
2 answers:
VashaNatasha [74]3 years ago
5 0
Since 3x+17=5x-3, x= 10. so angles
azamat3 years ago
4 0

In the parallelogram shown in the image, the opposite angles are the same.

So, ∠D = ∠B (3x + 17 = 5x - 3)

Solve for x.

3x + 17 = 5x - 3

~Subtract 17 to both sides

3x + 17 - 17 = 5x - 3 - 17

~Simplify

3x = 5x - 20

~Subtract 5x to both sides

3x - 5x = 5x - 5x - 20

~Simplify

-2x = -20

~Divide -2 to both sides

-2x/-2 = -20/-2

~Simplify

x = 10

Substitute x with 10 for ∠B

5(10) - 3

50 - 3

47°

Parallelograms have adjacent angles which are supplementary.

So, ∠A + ∠B = 180°

We know that ∠B = 47°, so, solve for ∠A.

∠A + 47 = 180

∠A + 47 - 47 = 180 - 47

∠A = 133°

Therefore, the measure of ∠DAB is 133°

Best of Luck!

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What is the value of Negative 4 squared + (5 minus 2) (negative 6)? –34 –2 10 34
kaheart [24]

Answer:

The Answer is -34 (Negative 34)

Letter Choice A

Step-by-step explanation:

Hope it helped!!

7 0
2 years ago
You earned 90% on a science quiz. You answered 27 questions correctly. How many questions were on the test?
Scilla [17]

Answer:

There were 30 questions on the test.

Step-by-step explanation:

1. Set up your equation: 27/90 = y/100

2. Next you want to cross multiply: 2700 = 90y or 270 = 9y

3. Divide 270 by 9 to find your y: y = 30

There were 30 questions on the test.

7 0
3 years ago
Cooper's USB drive is 1··2full with 5 video files. Each video file is the same size. What fraction of the USB drive does 1 video
lidiya [134]

Answer:

the fraction of the USB drive when one video file use is 10%

Step-by-step explanation:

The computation of the fraction of the USB drive when one video file use is given below:

= USB drive × number of video file ÷ number of video file

= half × 1 ÷ 5

= 0.5 × 1 ÷ 5

= 0.10

= 10%

Hence, the fraction of the USB drive when one video file use is 10%

6 0
2 years ago
Which fraction represents the decimal 0. ModifyingAbove 1 2 with Bar? One-twelfth StartFraction 3 Over 25 EndFraction StartFract
mestny [16]

The considered decimal number is expressed by the fraction given by: Option C: 4/33

<h3>How to convert from decimal to fraction?</h3>

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example:

0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}

(10 raised to power k = 1 followed by k zeroes)

<h3>What is the sum of an infinite geometric series?</h3>

The sum of an infinite geometric series having the initial term "a" and the multiplication per term is done by "r" such that r < 1

is given by

S_{\infty} = \dfrac{a}{1-r}

The series would look like a+ ar+ ar^2+\cdots

For the considered case, the given decimal number is

0.\overline{12} = 0.121212\cdots

We can check all the options available one by one, so as to know which one ends up giving this pattern, or we can use another technique as shown below.

0.12121...  = (0.1 + 0.001 + 0.00001 + ... ) + (0.02 + 0.0002 + 0.000002 + ... )

Each of the two series obtained are geometric series with the multiplication factor as 1/100

Using the sum formula for evaluation of an infinite geometric series, and the fact that initial term of first series is 0.1 and that of second series is 0.02, we get:
0.121212... = \dfrac{0.1}{1-1/100} + \dfrac{0.02}{1 - 1/100} = \dfrac{1}{99/100}(\dfrac{1}{10} + \dfrac{2}{100})\\0.121212...  = \dfrac{100}{99}\times(\dfrac{10}{100} + \dfrac{2}{100})\\\\\\0.121212 ... = \dfrac{12}{99} = \dfrac{4}{33}

Thus, the considered decimal number is expressed by the fraction given by: Option C: 4/33

Learn more about geometric series here:

brainly.com/question/16037289

4 0
2 years ago
Goran rented a truck for one day. There was a base fee of $17.99 , and there was an additional charge of 75 cents for each mile
Vikki [24]
Cost of the total miles travelled
= $191.24 - $17.99
= $173.25

Miles travelled
= $173.25 ÷ 0.75
= 129.9375 miles
≈ 130 miles (3s.f)
8 0
3 years ago
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