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ikadub [295]
4 years ago
7

Given: AB parallel to DC prove: ABE ~ DCE

Mathematics
2 answers:
slava [35]4 years ago
8 0
The reasons would be:

alternate interior angles
vertical angles
AAA (all angles are congruent)

Since we know that the two line segments are parallel, this means that BC is a transversal.  Using that knowledge with the position of ABE and DCE, we see these are alternate interior angles.

AEB and DEC are vertical angles, since they share only a vertex.

This gives us 3 congruent angles, so the triangles must be similar.
Vesna [10]4 years ago
3 0
Answer: The 3 missing statements are listed below with explanations.

2) Alternate interior angles are congruent. Since the lines are parallel these angles are congruent.

3) Vertical angles are congruent. Intersecting angles across from each other are congruent.

4) AA Similarity Theorem. If 2 angles of a triangle are congruent, then the triangles are similar.
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Three pounds of dried cherries cost $15.90, 5 pounds of dried cherries cost $26.50, and 9 pounds of dried cherries cost $47.70.
quester [9]

Answer:

The equation which gives the total cost y of x pounds of dried cherries is y=5.3x

Step-by-step explanation:

Given:

Cost of 3 pounds of dried cherries = $15.90

Cost of 5 pounds of dried cherries = $26.50

Cost of 9 pounds of dried cherries = $47.70

Let Number of of pounds of dried cherries be 'x'

Let Total Cost be denoted by 'y'

We need to find the equation for total cost y for x pounds of dried cherries.

First we will find the cost of each pound of dried cherries.

Now we know that;

3 pounds of dried cherries = $15.90

1 pound of dried cherries = Cost of 1 pounds of dried cherries

Hence By using Unitary method we get;

Cost of 1 pounds of dried cherries = \frac{15.90}{3} = \$5.3

Total Cost of dried cherries is equal to Number of of pounds of dried cherries multiplied by Cost of 1 pounds of dried cherries.

framing in equation form we get;

y=5.3x

Hence The equation which gives the total cost y of x pounds of dried cherries is y=5.3x

3 0
3 years ago
Nate solve the problem 3×5 = 15 by writing and solving 15÷5 = 3 explain why Nate method works
dmitriy555 [2]
It's shust the opposite
6 0
3 years ago
Read 2 more answers
Please help me answer this will give brainlst
VladimirAG [237]

Answer:

17° and 73°

Step-by-step explanation:

For two complementary angles, the sum of angles is equal to 90 degrees.

Let other angles = x

First angle = 5+4x ...(1)

ATQ,

5+4x+x=90 ...(2)

Equation (1) and (2) shows the equations for the given problems.

5+5x=90

5x = 85

x = 17°

Other angle = 17

First angle = 5+4x

= 5+4(17)

= 73°

So, the other two angles are 17° and 73° respectively.

8 0
3 years ago
Use the distributive or FOIL method to find the product.<br> (5i + 8)(4i + 6)
balandron [24]
I think you would combine like Terms
3 0
3 years ago
A 5-pound bag of apples cost $3.50. Use that rate, to complete the table to identify equivalent ratios, and then answer the ques
Contact [7]
It costs $0.7 per pound.
7 0
3 years ago
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