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stira [4]
3 years ago
10

PLEASE HELP ASAP ILL GIVE 100 POINTS TO ANYONE THAT ANSWERS CORRECTLY

Mathematics
1 answer:
Inga [223]3 years ago
7 0

Answer:

1/5

Step-by-step explanation:

I think thats right idI dont knowk ahaha sorry if its not

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If each quadrilateral below is a parallelogram, find the missing measures.
prisoha [69]

Step-by-step explanation:

We will use parallelogram properties to answer our given problems.

(1) Since we know that opposite sides of parallelogram are congruent, therefore measure of side MN and side KN will be equal to the measure of their opposite sides.

LM=KN   and   KL=MN

Upon substituting our given values we will get,

45=KN   and   31=MN

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

We have been given m\angle N=119^{o}, therefore m\angle L=119^{o}.

We will find measure of angle K by using supplementary angles.

m\angle N+m\angle M=180^{o}

119^{o}+m\angle M=180^{o}

m\angle M=(180-119)^{o}

m\angle M=61^{o}

By opposite angles of parallelogram m\angle K=61^{o}.

(2) Opposite sides of parallelogram are equal. Therefore, CF=DE and FE=CD.

Upon substituting our given values we will get,

CF=10  and FE=15.

Property: Diagonals of parallelogram bisect each other.

So CE will be 2 times CG and GD will be half the length of FD.

CE=2\times 7=14

GD=\frac{1}{2}\times 22=11

(3) Property: Opposite sides of parallelogram are congruent.

SR=PQ   and   QR=PS

Upon substituting our given values we will get,

SR=24   and   QR=19

Property: Diagonals of parallelogram bisect each other.

So SQ will be 2 times TQ and PT will be half the length of PR.

SQ=2\times 10=20

PT=\frac{1}{2}\times 42=21

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

m\angle PQR=106^{o}

m\angle PQS=m\angle QSR  Alternate interior angles.

m\angle PQS=49^{o}

m\angle QRS=m\angle QPS Opposite angles of parallelogram.

m\angle PQR+m\angle QPS=180^{o}

106^{o}+m\angle QPS=180^{o}

m\angle QPS=180^{o}-106^{o}

m\angle QPS=74^{o}

Therefore, measure of angle QRS will 74 degrees.

m\angle PRS=m\angle QPR Alternate interior angles.

35^{o}=m\angle QPR

m\angle RPS=74^{o}-m\angle QPR

m\angle RPS=74^{o}-35^{o}

m\angle RPS=39^{o}

Now let us find measure of angle PSQ.

m\angle PSQ=m\angle PQR-m\angle QSR

m\angle PSQ=106^{o}-49^{o}

m\angle PSQ=57^{o}

The image is not clear, so I am unable to answer the last two problems.



5 0
3 years ago
Read 2 more answers
The table shows the weights of two dogs. What is the weight of each dog?
NemiM [27]

Answer:

90, 64

Step-by-step explanation:

Rottweiler is 90

German Shepard is 64

7 0
3 years ago
Help help help help help
vitfil [10]

Answer:

B

Step-by-step explanation:

Remark

If we draw a line from F to T, we can make a couple of statements.

Call the center of the circle O

1. <FTE = 1/2 the central angle of <FOE. The size of <FOE is the same size as the minor arc. Since The minor arc = 60 degrees, then FTE = 30 degrees.

2. <GTF = 1/2 78 by the same reasoning used above.  GTF = 39 because that is 1/2 of 78.

So the answer to the size of <T = 39 + 30 = 69 which is B

There is a much simpler way of doing this.

The central angle of the two arcs is 78 + 60 = 138

The <GTE is 1/2 the central angle

<GTE = 1/2 * 138 = 69

3 0
3 years ago
My last of many blurry pictures…
Nesterboy [21]
150 people.

27 is 18% of 150.
10.5 is 7% of 150.
15 is 10% of 150.
19.5 is 13% of 150.
28.5 is 19% of 150.
49.5 is 33% of 150.
7 0
2 years ago
_% of 80.33 ounces is 23.9 ounces.
natima [27]

Answer: 29.75%

Step-by-step explanation:

X/100 *80.33=23.90

80.33x=2390

X=2390/80.33 = 29.75

3 0
3 years ago
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