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3 years ago

11

Free points and brainiest 21 - 76 =

2 answers:

noname [10]3 years ago

7 0

Answer:

-55

Step-by-step explanation:

PSYCHO15rus [73]3 years ago

4 0

Answer:

-55

Step-by-step explanation:

21 - 76 = -55

.........

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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

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Stan wants to start an ira that will have $250,000 in it when he retires in 25 years. how much should he invest semiannually in

prisoha [69]

Answer:A

Step-by-step explanation:

8 0

2 years ago

Determine the domain of the function

skelet666 [1.2K]

Answer:

Option B is correct.

The domain of the function h(x) is: $\{x | x\neq \pm 6 , x\neq 0\}$

Step-by-step explanation:

Domain states that the complete set of all the possible values of the independent variable where function is defined.

Given the function:

$h(x) = \frac{9x}{x(x^2-36)}$

To find the excluded value in the domain of the function.

equate the denominator to 0 and solve for x.

i.e

$x(x^2-36) = 0$

⇒x = 0 and $x^2-36 = 0$

⇒x = 0 and $x^2 = 36$

or

x = 0 and $x = \pm 6$

So, the domain of the function h(x) is the set of all real number except x = 0 and $x = \pm 6$

Therefore, the domain of the function h(x) is:

$\{x | x\neq \pm 6 , x\neq 0\}$

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Mr. Zhou surveyed his 25 students to find out how much time they spent doing homework each week. The results of his survey are s

Phantasy [73]

Answer:

I think it's 12

Step-by-step explanation: i'm sorry if you got it wrong have the same question to.... sorry

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2b^2 +32b + 128 <br> Pls answer this

KengaRu [80]

Answer:

${2b}^{2} + 32b + 128$

Factor and get

$x = - 8$

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3 years ago

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