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Stella [2.4K]
3 years ago
14

Given: AD || BC and AD ≅ BC Prove: AB || CD

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0

Answer:

Statement 1: it is a parallelogram

Reason 1: if one pair of sides of a quadrilateral are parallel and congruent sides, then it is a parallelogram.

Statement 2: AB is parallel to CD

Reason 2: in a parallelogram opposite sides are parallel.

QED

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Write each equation in standard form using integers? <br><br> y = 3x + 1<br><br> y = 4x - 7
Maru [420]

Answer:

The standard form of y = 3 x + 1 is         -3x + y = 1 .

The standard form of y  = 4x - 7 is         -4x + y = -7.

Step-by-step explanation:

Here the given equation are:

y = 3 x + 1

and y  = 4x - 7

The above equations are of the form:  y = m x + C

Now, the STANDARD FORM of the equation is Ax + By  = C

<u>Consider equation 1: </u>

y = 3 x + 1

or, y - 3x  = 1

or. -3x + y = 1

⇒ The equation  -3x + y = 1  is in STANDARD FORM.

<u>Consider equation 2: </u>

y = 4 x - 7

or, y - 4x  = -7

or. -4x + y = -7

⇒ The equation -4x + y = -7 is in STANDARD FORM.

3 0
3 years ago
Which number is located the same distance on a number line from -5 as 3 is?
svp [43]
-13 is located the same distance away on the number line from -5 that 3 is.
4 0
3 years ago
Find the length of the third side. If necessary, round to the nearest tenth. 5 9
lbvjy [14]

Answer: so you have a picture of the shape or what thing we have to find the length to

Step-by-step explanation

6 0
3 years ago
Read 2 more answers
Someone please help me!​
Natali5045456 [20]

Answer:

number 3

Step-by-step explanation:

4 0
3 years ago
A washer and dryer cost $600 combined. The cost of the washer is three times the cost of the dryer
Sveta_85 [38]
First, assign two variables to the prices of the two appliances.
'w' will represent the price of a washer, and 'd' will represent the price of a dryer.

Because "the washer is three times the cost of the dryer," we can form this equation:
w = 3d
On top of that, we know the washer and dryer add up to 600, making another equation.
w + d = 600

Because we know the value of 'w,' we can input that into the equation 'w + d = 600'
(3d) + d = 600
Simplify:
4d = 600
d = 150

Since the washer is three times the price of the dryer:
w = 3(150) = 450

The dryer costs $150, and the washer costs $450.
-T.B.
8 0
3 years ago
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