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3 years ago

HELPPP!!! question 2,3,4

Mathematics

2 answers:

nordsb [41]3 years ago

7 0

2: The Answer Is D

100 x 11 = 1100

13 x 11 = 143

3: The Answer Is B

500 x 6 = 3000

154 x 6 = 924

Ivan3 years ago

4 0

Answer:

Answer 1: 85

Answer 2: c

Answer 3: 15

Step-by-step explanation:

Simple subtraction makes the trick.

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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

What are compatible numbers?

castortr0y [4]

Compatible numbers are numbers that are close in value to the actual numbers and easy to add, subtract, multiply, or divide mentally. They are useful in estimating the sum, difference, product, or quotient.

7 0

4 years ago

10 POINTS!!! PLEASE ANSWER SOON! THANK YOU!

Aloiza [94]

The answer would be 5.291 10 to the power of 12

5 0

3 years ago

What is the second step to prove that Sn=>2+2^2+2^3+...+2^n=2(2^n-1)?

meriva

Answer:

Assume that Sn is valid for n = k and prove that Sn is valid for n = k + 1.

Step-by-step explanation:

This is the second step in the principal of mathematical induction. The three steps in the principals of mathematical induction are:

1. show that something works for the first case (base or anchor step)

2. assume that it works for any particular step (inductive hypothesis), and then

3. show that it works for the next case (inductive step)

p. 621 in textbook

It's weird that they put steps 2 & 3 together, but it was correct on the test so ¯\_(ツ)_/¯

4 0

4 years ago

Collins bottle of water is 5/6 full.After school , the bottle is 1/3 full. Write the difference of the amounts after school and

Svetllana [295]

1/3 = 2/6, 5/6 - 2/6 = 3/6

The difference is 1/2 of a bottle(or 3/6)

3 0

3 years ago