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3 years ago

11

State if the two triangles are congruent if they are state how you know

1 answer:

kykrilka [37]3 years ago

4 0

Answer:

You will now because the sides are equal. All sides must be equal to be congruent.

Step-by-step explanation:

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A soccer field has an area of 7/8 square miles. The length of the field is 2/5 miles. What is the width of the soccer field?

weeeeeb [17]

7/8=2/5x
If you solve this you get 2.1875 or 35/16

5 0

3 years ago

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

What is Y=2000(1.25)^12

djverab [1.8K]

Answer:

y+29103.83045673370361328125

5 0

1 year ago

Solve the equation for x (if possible please show work)

Daniel [21]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = - 4}}}}}$

Step-by-step explanation:

$\sf{3x - 5 = 2x - 9}$

Move 2x to left hand side and change it's sign

⇒ $\sf{3x - 2x - 5 = - 9}$

Move 5 to right hand side and change it's sign

⇒ $\sf{3x - 2x = - 9 + 5}$

Collect like terms

⇒ $\sf{x = - 9 + 5}$

Calculate

⇒ $\sf{x = - 4}$

Hope I helped!

Best regards!!

6 0

4 years ago

Math sequence problem

horsena [70]

I don't believe that there is a limit

4 0

4 years ago