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aksik [14]
3 years ago
12

We have that AB || DC. By a similar argument used to prove that AEB ≅ CED,we can show that ≅ CEB by . So, ∠CAD ≅ ∠ by CPCTC. The

refore, AD || BC by the converse of the theorem. Since both pair of opposite sides are parallel, quadrilateral ABCD is a parallelogram.
Mathematics
2 answers:
svp [43]3 years ago
7 0
We have that AB || DC.

By a similar argument used to prove that AEB ≅ CED,we can show that (AED) ≅ CEB by (SAS) . So, ∠CAD ≅ ∠ (ACB) by CPCTC. Therefore, AD || BC by the converse of the (
ALTERNATE INTERIOR ANGLES) theorem. Since both pair of opposite sides are parallel, quadrilateral ABCD is a parallelogram

1. AED
2. SAS
3. ACB
4. ALTERNATE INTERIOR ANGLES
OLga [1]3 years ago
6 0

Answer:

AED

SAS

ACB

Alternate interior angles

Step-by-step explanation:

cause its right on edg 2020

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4. What is the system of equations that describes the following graph?
GarryVolchara [31]

Answer:

The system of inequalities is

y

y>0.25x

Step-by-step explanation:

step 1

Find the equation of the dashed line with negative slope

The line passes through the points

(0,-2) and (-2,0)

Find the slope

m=(0+2)/(-2-0)=-1

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-1\\b=-2

substitute

y=-x-2

The solution of the inequality is the shaded area below the dashed line

therefore

The equation of the inequality A is

y

step 2

Find the equation of the dashed line with positive slope

The line passes through the points

(0,0) and (4,1)

Find the slope

m=(1-0)/(4-0)=0.25

Find the equation of the line (direct variation)

y=kx

we have

k=0.25

substitute

y=0.25x

The solution of the inequality is the shaded area above the dashed line

therefore

The equation of the inequality B is

y>0.25x

therefore

The system of inequalities is

y

y>0.25x

4 0
3 years ago
Write your answer as a fraction or as a whole or mixed number.<br> 27pts
statuscvo [17]

<u>What we know</u>:

  • Bird feeder capacity:             -->  2 4/5 cups
  • Samantha's scoop capacity: -->  7/10 cups

<em>Lets first convert the mixed partial fraction --> improper fraction</em>

<em>        --> for easier calculation</em>

<em />

<u>After Conversion:</u>

  • Bird feeder capacity:             -->  14/5 cups
  • Samantha's scoop capacity: -->  7/10 cups

<u>To find how many scoops of birdseed will Samantha put into the feeder we must:</u>

  --> divide the total capacity by the scoop's capacity

       --> find the number of scoops:

<u>Solve:</u>

  Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4

Thus the total number of scoops that Samantha will put into the bird feeder is <u>4</u>

<u></u>

<u>Answer: 4</u>

<u></u>

Hope that helps!

4 0
2 years ago
Divide (5x + 6x^3 - 8) ÷(x - 2) PLEASE HELP DUE IN 5 MINUTES ​
Leya [2.2K]

Answer:

6x^2+12x+29+50/x-2

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Yes, it is a line of slope 1.

5 0
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Mark has $18.00. What is the greatest number of days he can rent a bicycle? 2d=18 where d represents the number of days of the r
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Answer:

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Step-by-step explanation:

9x2 is 18, so he can rent a bike for nine days if the rent is $2

6 0
3 years ago
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