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xeze [42]
3 years ago
12

Help find the value of x.

Mathematics
1 answer:
Savatey [412]3 years ago
6 0

Answer:

75 degrees

Step-by-step explanation:

The shape is a trapezoid. When finding angle measurements in trapezoids:

Angle A + Angle C = 180 degrees

Angle B + Angle D = 180 degrees

Because you need to find the angle of B, we will use Angle B + Angle D = 180 degrees to solve this. Angle D is 105 degrees, so 105 + Angle B = 180. 180-105 equals 75, so angle B is 75 degrees.

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The sum of 7 and 2 is 8
BabaBlast [244]

Answer:

We can introduce a variable ( a letter representing an unknown ) to help us solve this question.

Let χ = "a number..."

We can rewrite the sentence in the following way:

7( χ + 2 ) = 8

To solve for χ , we can first distribute 7:

7 ∗ χ + 7∗(2) = 8

7χ + 14 = 8 ⇐ since 7 times 2 is 14

Let's get χ by itself first. We do so by subtracting 14 from both sides of the equation:

7χ + 14 - 14 = 8 - 14

7χ + 0 = -6 ⇐

7χ = -6 ⇐

The last number in our way is that 7. Let's divide both sides by 7 ( which is the same as multiplying both sides by 1 / 7 ) to figure out what χ is:

7χ ∗ ( 1 / 7 ) = -6 ∗ ( 1 / 7 )

χ ∗ ( 7 / 7 ) = - 6 / 7 ⇐

χ ∗ ( 1 ) = - 6 / 7 ⇐

χ = - 6 / 7

Therefore ( we can also use ∴ to represent the word "therefore" ) our number in question is  -6 / 7

Step-by-step explanation:

4 0
3 years ago
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jasenka [17]

This is because astronauts can't sprinkle salt and pepper on their food in space. The salt and pepper would simply float away. There is a danger they could clog air vents, contaminate equipment or get stuck in an astronaut's eyes, mouth or nose. Astronauts eat three meals a day: breakfast, lunch and dinner.

8 0
3 years ago
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4 0
3 years ago
The sum of y and 2 is greater than 5
umka2103 [35]
y\ \textgreater \ 3
7 0
3 years ago
Question 2 of 39
rewona [7]

Answer:

D) 32

Step-by-step explanation:

Given;

series: 56, 54, 50, 38, 34, ....

find the difference between successive numbers;

56         54        50             38            34             x

     2            4             12              4             2            

The highest difference between the numbers is  12, after which it decreases to 4 and finally back 2.

The next number "x" is calculated as;

34 - 2  = x

34 - 2 = x

32 = x

Therefore, the next number should be 32.

4 0
3 years ago
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