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mojhsa [17]
3 years ago
15

A parallelogram has one angle that measures 40°. What are the measures of the other three angles in the parallelogram?

Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0

Answer:

40°, 140°, and 140°

Step-by-step explanation:

A parallelogram has 2 pairs of angles with equal measure.

If one angle is 40°, the angle opposite to that must also be 40°

A parallelogram has an internal angle sum of 360°.

2 angles we know add up to 80°, subtract that from 360° and you can find the other 2 angles..

360° - 80° = 280°

The other 2 angles add up to 280°, so

280°/2 = 140°

The other 2 angles are each 140°

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Simplify:<br> 2(5 + w) + 3(w + 2)
AlekseyPX

Answer:

16+5w

Step-by-step explanation:

2(5 + w) + 3(w + 2)

5+w evaluates to 5+w

Multiply 2 by 5+w

we multiply 2 by each term in 5+w term by term.

This is the distributive property of multiplication.

Multiply 2 and 5

1

2 × 5 = 10

Multiply 2 and w

Multiply 1 and w

The w just gets copied along.

w

2 × w = 2w

2*(5+w) evaluates to 10+2w

w+2 evaluates to w+2

Multiply 3 by w+2

we multiply 3 by each term in w+2 term by term.

This is the distributive property of multiplication.

Multiply 3 and w

Multiply 1 and w

The w just gets copied along.

w

3 × w = 3w

Multiply 3 and 2

1

3 × 2 = 6

3*(w+2) evaluates to 3w+6

To add the polynomials 10+2w and 3w+6 we try to add or combine terms in one polynomialwith any like terms in the other polynomial.

10 + 6 = 16

2w + 3w = 5w

The answer is 16+5w

2*(5+w)+3*(w+2) evaluates to 16+5w

The final answer is

16+5w

7 0
4 years ago
Read 2 more answers
Drew has 50 red,green,and blue marbles. he has six more red marbles than blue marbles and four fewer green marbles than blue mar
astraxan [27]

Red = r

Blue = b

Green = g


Step 1: Write as algebraic equations.

r = b + 6

g = b - 4


Step 2: Merge the two equations together to form one, by adding them together.

r + g = b + b + 6 - 4


Step 3: Simplify.

r + g = 2b + 2


Step 4: Make b the subject.

2b + 2 = r + g

2b = r + g - 2

b = 0.5(r + g - 2)


ANSWER

b = 0.5(r + g - 2)

3 0
3 years ago
Y=-3x + 6
slamgirl [31]

Answer:

(-1, 9)    (he x value is placed first).

Step-by-step explanation:

y = -3x + 6

y = 9

Substitute y = 9 into the first equation:

9 = -3(x) + 6

-3x = 9 - 6

-3x = 3

x = -1.

5 0
4 years ago
I want the answer of question 27 with explanation
m_a_m_a [10]

Answer:

6√2

Step-by-step explanation:

√32+√18-1√4

√16×2+√9×2-1√2

4√2+3√2-1√2

6√2

7 0
4 years ago
A set of data with 100 observations has a mean of 267. There are six outliers in the data set, which have a mean of 688. If the
Mnenie [13.5K]
X*94 +688*6  = 267*100
94x+4128=26700     
94X=22572    /94
X=240.128
C is the closest answer
3 0
4 years ago
Read 2 more answers
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