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3 years ago

Determine the unknown integer in each number sentence -8 + ___ = -38

2 answers:

7 0

Since the answer and the first number are both like signs, the second would also be one. It would be just like regular addition. -30 would go in the blank.

Yuri [45]3 years ago

4 0

-8 + (-30) = -38 is your answer

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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

Can someone give me the answers :(: it would mean a lot

satela [25.4K]

Step-by-step explanation:

easy question answer but I don't do this

7 0

4 years ago

Read 2 more answers

If m is the midpoint of segment JK, JM equals 7x minus 32, and MK equals 89 minus 4x, what is MK?

KonstantinChe [14]

Step-by-step explanation:

Imagine this segment, given that m is the midpoint of segment JK...

J________M________K

JM = 7x-32 MK = 89 - 4x (given)

If m is the midpoint, then JM and MK are the same lengths (equal to each other). We can use that to first find what <em>x</em> is.

$7x -32 = 89 - 4x\\$

Steps to find x (we have to get x by itself):

$7x - 32 + 4x = 89 - 4x +4x$

$11x -32 = 89$

$11x -32 +32 = 89 +32$

$11x = 121$

$\frac{11x}{11} = \frac{121}{11}$

$x=11$ (we haven't found the answer yet! we only found x)

Now that we found x, we can find segment MK. Now we know that:

$MK = 89 - 4x$

$x= 11$

Let's plug x into the equation:

$MK = 89 - 4(11)\\MK = 89- (44)\\MK = 45$

Answer: $MK= 45$

4 0

3 years ago

Which is greater, 300 kelvins or 25 degrees Celsius? Show your work

Mademuasel [1]

300 kelvin is greater.

300 kelvin equals approximately 26.85°C

6 0

4 years ago

A 90 percent confidence interval for the slope of a regression line is determined to be (-0.181, 1.529). Which of the following

GenaCL600 [577]

Answer: a. The correlation coefficient of the data is positive.

Step-by-step explanation:

Estimated slope of sample regression line = $\dfrac{Upper \ limit + lower\ limit}{2}$

Here , confidence interval : (-0.181, 1.529)

Estimated slope of sample regression line = $\dfrac{-0.181+1.529}{2}$

$=\dfrac{1.348}{2}\\\\=0.674\ \ \ \ [\text{ positive}]$

⇒Correlation coefficient(r) must be positive, So a. is true.

But, d. and e. are wrong(0.674 ≠ 0 or 1.348).

We cannot check residuals or its sum from confidence interval of slope of a regression line, so b is wrong.

We cannot say that scatterplot is linear as we cannot determine it from interval, so c. is wrong

So, the correct option : a. The correlation coefficient of the data is positive.

7 0

3 years ago