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Aleks04 [339]
3 years ago
5

GIVEN PARALLELOGRAM ABCD, FIND THE LENGTHS AND ANGLES REQUIRED

Mathematics
1 answer:
Scrat [10]3 years ago
6 0
Co-interior properties. 180 degrees = two co-interior angles.

180 = (2y+50) + (3y+40)
180 = 5y + 90
90 = 5y
/5     /5
18 = y

Angle 1: 2y + 50
              2(18) + 50
              36 + 50
              86

Angle 2: 3y + 40
              3(18) + 40
              54 + 40
              94

86 + 94 = 180 so it is true.

Now the sides.
On a parallelogram, 5x+2 and 8x-7 must be equal

5x + 2 = 8x - 7
        2 = 3x - 7
        9 = 3x
       /3    /3
        3 = x

Side 1: 5x + 2
            5(3) + 2
           15 + 2
           17

Side 2: 8x - 7
            8(3) - 7
            24 - 7
            17

Both sides are equal; 17.

Angle 1: 86
Angle 2: 94
Sides: 17
You might be interested in
Consider the arithmetic sequence:
Leona [35]

Answer:

If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is \mathbf{d(n)=8+2n\:for\:n>1}

Option D is correct option

Step-by-step explanation:

We are given the arithmetic sequence:

10, 12, 14, 16, ...

If n is an integer, which of these functions generate the sequence?

We need to find the nth term for the given sequence

The nth term for arithmetic sequence will be: a_n=a_1+(n-1)d

where aₙ is nth term, a₁ is first term and d is common difference

Looking at the sequence a₁ = 10 and d = 2

So, nth term will be:

a_n=a_1+(n-1)d\\a_n=10+(n-1)2\\a_n=10+2n-2\\a_n=8+2n

So, nth term is: a_n=8+2n

In the options below, the only correct answer is option D. so, we can write nth term as: d(n) = 8 + 2n\: for\: n > 1

So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is \mathbf{d(n)=8+2n\:for\:n>1}

Option D is correct option

4 0
2 years ago
Read 2 more answers
How do you write 615,004 in word form
koban [17]
Six hundred fifteen thousand and four
3 0
3 years ago
Read 2 more answers
Determine if each pair of expressions is equivalent. If so state the property shown
Elis [28]
They are not equivalent.

24/6= 4,
4/2=2

6/24= 0.25,
0.25/2= 0.125

2 does not equal 0.125
Final answer: Not equivalent
8 0
3 years ago
Please help! Picture included!!!
V125BC [204]
The answer is c)32 hope this helps



5 0
3 years ago
Read 2 more answers
Please help i need this done QUICK im timed ill give the best answer brainliest
seraphim [82]

Answer:

x=−32/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/2(1/4x−3/5)=1/4(2/5+3/4x)

(1/2)(1/4x)+(1/2)(−3/5)=(1/4)(2/5)+(1/4)(3/4x)(Distribute)(1/2)(1/4x)+(1/2)(−3/5)=(1/4)(2/5)+(1/4)(3/4x)(Distribute)

1/8x+−3/10=1/10+3/16x

1/8x+−3/10=3/16x+1/10

Step 2: Subtract 3/16x from both sides.

1/8x+−3/10−3/16x=3/16x+1/10−3/16x

−1/16x+−3/10=1/10

Step 3: Add 3/10 to both sides.

−1/16x+−3/10+3/10=1/10+3/10

−1/16x=2/5

Step 4: Multiply both sides by 16/(-1).

(16/−1)*(−1/16x)=(16/−1)*(2/5)

x=−3/25

7 0
3 years ago
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