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3 years ago

Last one on test Parallelogram ABCD is a rectangle.

Mathematics

2 answers:

andreyandreev [35.5K]3 years ago

7 0

Answer: 10

Step-by-step explanation:

2AX=BD

2(3y-5)=5y

6y-10=5y

add 10 to each side 6y+10-10=5y+10

6y=5y+10

subtract 5y from each side 6y-5y=5y-5y+10

6y-5y=y

y=10

marusya05 [52]3 years ago

3 0

Answer: 10

2AX=BD
2(3y-5)=5y
6y-10=5y
add 10 to each side 6y+10-10=5y+10
6y=5y+10
subtract 5y from each side 6y-5y=5y-5y+10
6y-5y=y
y=10

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I’m really struggling with these proofs. We just started learning them and I’m highly confused!! Please help :)

gulaghasi [49]

I'm not sure about what exactly your teacher is looking for, but the actual congruency conjecture you would use is:

(angle symbol) 1 (congruency symbol) (angle symbol) 8 - Because they are alternate exterior angles

8 0

3 years ago

-17-5(x+3)=3x plz help

katovenus [111]

Start by distributing the -5 into the x and 3
-17-5x-15=3x
add like terms
-5x-32=3x
add 32 to both sides
-5x=3x+32
subtract 3x from both
-8x=32
divide both by -8
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7 0

3 years ago

Read 2 more answers

Geometric sequences HELP ASAP!

Pani-rosa [81]

Given:

The table for a geometric sequence.

To find:

The formula for the given sequence and the 10th term of the sequence.

Solution:

In the given geometric sequence, the first term is 1120 and the common ratio is:

$r=\dfrac{a_2}{a_1}$

$r=\dfrac{560}{1120}$

$r=0.5$

The nth term of a geometric sequence is:

$a_n=ar^{n-1}$

Where a is the first term and r is the common ratio.

Putting $a=1120, r=0.5$ , we get

$a_n=1120(0.5)^{n-1}$

Therefore, the required formula for the given sequence is $a_n=1120(0.5)^{n-1}$ .

We need to find the 10th term of the given sequence. So, substituting $n=10$ in the above formula.

$a_{10}=1120(0.5)^{10-1}$

$a_{10}=1120(0.5)^{9}$

$a_{10}=1120(0.001953125)$

$a_{10}=2.1875$

Therefore, the 10th term of the given sequence is 2.1875.

6 0

3 years ago

The image of the point (2, 1) under a translation is (5, -3). Find

Yanka [14]

Answer:

The coordinates of the image of the point (6,6) under the same translation is: (9, 2)

Hence, option C is correct.

Step-by-step explanation:

The image of the point (2, 1) under a translation is (5, -3).

It means when we horizontally move 3 units to the RIGHT i.e. adding 3 units to the x-coordinate and vertically move 4 units DOWN i.e. subtracting 4 units from the y-coordinate of the original point (2, 1), we get the coordinates of the image (5, -3).

Thus,

The rule of translation can be formulated such as:

(x, y) → (x + 3, y - 4)

(2, 1) → (2 + 3, 1 - 4) → (5, -3)

Thus,

Under the same rule of translation, we can determine the coordinates of the image of the point (6,6):

(x, y) → (x + 3, y - 4)

(6, 6) → (6 + 3, 6 - 4) → (9, 2)

Therefore, the coordinates of the image of the point (6,6) under the same translation is: (9, 2)

Hence, option C is correct.

4 0

3 years ago

Please answer <br><br> 8 + 9 x 1 x 2/2

12345 [234]

The answer would be 17.

7 0

3 years ago

Read 2 more answers