Mhanifa please help these 2 are confusing :( I will mark brainliest

Answer:

The key is to prove that the triangles are congruent, then their corresponding parts are congruent.

Step-by-step explanation:

#5)

It it given that:

Angle CBD is congruent to angle CDB.

Angle BAE is congruent to angle DEA.

Triangle CBD is isosceles because it's base angles are equal. Therefore, segment CB is congruent to segment CD.

Triangle CAE is isosceles because it's base angles are equal. Therefore, segment CA is congruent to segment CE.

CA-CB=BA

CE-CD=DE

segment BD is congruent to segment DB.

Angle ABD is supplementary to angle CBD (180-angle CBD= angle ABD).

Angle EDB is supplementary to angle CDB (1980-angle CDB=angle EDB).

therefore, angle ABD=angle EDB.

Triangles ABD and EDB are congruent because of the Side-angle-side theorem.

Triangles ABD and EDB are congruent, segment AD is congruent to segment EB because corresponding legs of congruent triangles are congruent.

#6)

It is given that:

Angle EBC is congruent to angle ECB

Segment AE is congruent to segment DE.

Triangle BEC is iscsceles because it's base angles are equal. Therefore, segment EB is congruent to segment EC.

AE+EC=AC

DE+EB=DB

segment BC is congruent to segment CB.

Triangle BAC is congruent to triangle CDB because of the side-angle-side theorem.

Segment AD is congruent to segment DC because corresponding legs of congruent triangles are congruent.

Answer:

Problem 5)

Step 1:  < CBD = <CDB Reason: given

Step 2: BC = CD  Reason: opposed sides in the isosceles triangle BCD

Step 3: < BAE = < DEA Reason: given

Step 4: AC = CE Reason: opposed sides in the isosceles triangle ACE

Step 5: triangle ACD  = triangle BCE Reason: angle <C is common, and equal sides shown above so use SAS theorem.

Step 6: AD =  BE Reason: third side in the equal triangles shown above.

Problem 6)

Step 1: < ECB = <EBC Reason: Given

Step 2> triangle BEC is isosceles Reason: has two equal angles

Step 3: BE = EC Reason: opposite sides in the isosceles triangle

Step 4: <DEC = < AED Reason: opposed by the vertex (vertical angles)

Step 5: AE = ED Reason: given

Step 6: triangle BAE = triangle EDC Reason SAS theorem

Step 7: side AB = side CD Reason: third side in the equal triangles

The Gallup-Healthways Well-Being Index is a survey that follows trends of U.S. residents on a regular basis. There are six areas of health and wellness covered in the survey: Life Evaluation, Emotional Health, Physical Health, Healthy Behavior, Work Environment, and Basic Access. Identify the type of data obtained from each question used in this survey: qualitative, quantitative discrete, or quantitative continuous.
1) Do you have any health problems that prevent you from doing any of the things people your age can normally do?
a) qualitative.
b) quantitative discrete.
c) quantitative continuous.
2) During the past 30 days, for about how many days did poor health keep you from doing your usual activities?
a) qualitative.
b) quantitative discrete.
c) quantitative continuous.
3) In the last seven days, on how many days did you exercise for 30 minutes or more?
a) qualitative.
b) quantitative discrete.
c) quantitative continuous.
4) Do you have health insurance coverage?
a) qualitative.
b) quantitative discrete.
c) quantitative continuous.

On a​ cross-country trip, a car uses 5 gallons of gas for every 145 miles it travels. How many gallons of gas does the car use if it travels ​miles? How far can the car travel if it uses gallons of​ gas? Make a table of equivalent ratios to help you answer the questions. Then graph the ratios

Find x and the indicated sides.
Find x. *
5 points
S
X -
4
14
V
* - 6
R
T
Your answer
This is a required question

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Solve 7k÷3=21 Math Problem

19
Y
X
4x-3
K
>
N
W
31
Solve for x.

The graph of a linear function and an exponential function is shown below.
When x = 3, the linear function and the exponential function are equal. Which of these statements is true?
The linear function never exceeds the exponential function.
The exponential function never exceeds the linear function.
The linear function exceeds the exponential function for values of x that are greater than 3.
The exponential function exceeds the linear function for values of x that are greater than 3.

What is the answer plz help

what is the equivalent property of 3(3x - 7)

A square rug has an area of 121 ft?. Write the side length as a square root. Then decide if the side
length is a rational number.
HELP ASAP

help please please it’s due soon

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What does x equal in this question?

Lines AB and CD are parallel. If 26 measures (4x - 34), and 28 measures 106°, what is the value of x?
A. x = 17
B. x=254
C. x=27
D. x= 106

If b = -3, find
answer

Help&EXPLAIN

Don’t use for points or will be reported and I’ll take the points back

Lamar went to a baseball game. The game started at
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I want to just get in with life.

5(3x - 7 + 4y)
*
+
Your answer

please help me please please

Please help me. Thanks. Whoever gives me the right answer, I will mark them as the brainiest.

Which of the following are valid names for the triangle below? Check all that
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