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iren [92.7K]
3 years ago
7

The figure is a parallelogram. Solve for x.

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Answer:

x = 7

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary.

\therefore \: (14x + 2) \degree + 80 \degree = 180 \degree  \\  \\  \therefore \: (14x + 2) \degree = 180 \degree   - 80 \degree \\  \\ \therefore \: (14x + 2) \degree = 100 \degree \\  \\ 14x + 2 = 100 \\ 14x = 100 - 2 \\  \\ 14x = 98 \\  \\ x =  \frac{98}{14}  \\  \\ x = 7

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He will have 36 plants next year. 
hope that helped! :)
5 0
3 years ago
Select ALL the true statements.
ss7ja [257]

Answer:

A.

C.

Step-by-step explanation:

A. When adding a negative number to a positive, you subtract. 2.3 - 2.3 will equal 0.

B. When adding two negative numbers, you get an even smaller negative number. (-3.7) + (-4.1) = -7.8

C. When subtracting a negative number, the two negative signs become a positive. -12/4 is equal to 3. -2.6 + 3 is 0.4, which is positive.

D. 5/2 is the same as 2.5. If you subtract 2.5 from 2.5, you will get 0, which is not negative.

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8 0
2 years ago
Forty is no greater than the difference of a number and 2
GuDViN [60]
This can be written as:
40  \leq  n - 2

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"The difference of a number and 2" can be represented as "n - 2"

If you were to solve this inequality, you would end up getting:
42  \leq  n or n  \geq  42

Hope this helps! :)
8 0
3 years ago
Read 2 more answers
Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 40
svet-max [94.6K]

Answer:

The required equation is P(t) = -52t + 480

Step-by-step explanation:

Consider the provided information.

Let P represent the number of pages left to read after t hours.

Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 pages left to read.

Total number of page Shryia read in 1.5 hours is:

480-402 = 78

It is given that the rate is constant i.e 1.5 hours,

Therefore, she read 78 pages in 1.5 hours.

She can read \frac{78}{1.5} = 52 page per hour

The required equation is:

P(t) = -52t + 480

Where t represents the number of hours.

8 0
3 years ago
Read 2 more answers
In a right triangle ABC, CD is the angle bisector of the right angle C. Two lines DF and DE are parallel to the legs of the tria
Vinvika [58]
Please bear with my lengthy answer.

ED || CF - given
∠EDC = ∠DCF - alternate interior angles
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∠FDC = ∠ECD - alternate interior angles
m∠CFD = 180 - (45+45) = 180 - 90 = 90° - sum of angles in a triangle is 180
m∠EDF = 360 - (90+90+90) = 360 - 270 = 90° - sum of angles in a quadrilateral is 360
4 0
3 years ago
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