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3 years ago

PQRS is a parallelogram. PR and QS are diagonals. Match each element to its value. Tiles value of length of value of length of

Mathematics

2 answers:

Dafna11 [192]3 years ago

7 0

Answer:

Step-by-step explanation:

value of a is given by

a+4=2a simplifting for a gives;

a=4

value of b is given

by 2b-3=b

simplifying givess b=3

PR= ( 4+4) + 2*4= 16

QS= 3+(2*3-3)= 6

ss7ja [257]3 years ago

5 0

Since it is a parallelogram cente at point T, then the measure of PT is equal to the measure of TR. And the measure of QT is equal to the measure of TS.

PT = TR

a + 4 = 2a

4 = 2a -a

a = 4

PT = TR = 8 units

QT = TS

b = 2b -3

3 = 2b – b

b = 3

QT = TS = 3 units

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Solve the system 12x+2y=86 6x+2y=56

Ghella [55]

12x+2y=86 -
6x+2y=56
-------------------
6x = 30 => x = 30 : 6 = 5

2y = 56 - 30 => 2y = 26 => y = 13

3 0

3 years ago

7. The ratio of black cars to silver cars in a parking lot is 7:4. If there is a DIFFERENCE of 12 more black cars than silver ca

QveST [7]

Answer:

Step-by-step explanation:

Let B be the number of black cars and S the number of silver.

We know that B/S = 7/4

We also know that B - S = 12

Rearrange the first: B = 7S/4

B - S = 12

7S/4 - S = 12

7S - 4S = 48

3S = 48

S = 16

B/S = 7/4

B/16 = 7/4

4B = 112

B = 28

B + S = 44 cars

I can't add the tape diagram here, but show two ribbons (tapes) for each car color and drawn so one can see the relative numbers of each.

8 0

2 years ago

What is the right-hand limit of as x approaches f(x) = x/x-5 as x approaches 5?

Ber [7]

Answer:

$+\infty$

Step-by-step explanation:

The expression for the right hand limit of f(x) is:

$f = \frac{x+\epsilon}{x + \epsilon - 5}$

The expression can be simplified with some algebraic handling:

$f = \frac{1}{\frac{x+\epsilon-5}{x+\epsilon} }$

$f = \frac{1}{1-\frac{5}{x+\epsilon} }$

Let be $x = 5$ , as $\epsilon$ is approaching zero, $f$ is positive and becomes bigger, diverging to $+\infty$ .

7 0

3 years ago

Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he

Eddi Din [679]

1) The population

Is the set of all the terms that the teacher taught this semester and which he wrote down on the note cards and put in the paper bag.

2) The sample is every set of five cards that is selected by each student.

3) I think the sample is representative because all ther terms have the same probability of being selected.

Further, given that the cards are replaced every time all the students will face the same population when they are going to select a sample.
Comments Report

8 0

2 years ago

or security reasons, a company will enclose a rectangular area of 11,200 m2 in the rear of its plant. One side will be bounded

pychu [463]

The dimensions of the rectangle are 150 m and 75 m respectively.

Let x be the length of the rectangular area and y be the width of the rectangular area.

Its area A = xy

Given that its area is 11,000 m², xy = 11000 m² (1)

Also, since the bounding side of the building is 150 m long and the fencing is 300 m, the perimeter of the rectangular area is P = 150 m + 300 m = 450 m.

Also, the perimeter of the rectangular area is P = 2(x + y)

Since P = 450 m

2(x + y) = 450 m

x + y = 225 m (2)

Since the bounding side of the building represents one dimension of the rectangle, x = 150 m.

Substituting x into (2), we get the other dimension

x + y = 225

150 + y = 225

y = 225 m - 150 m

y = 75 m

So, the dimensions of the rectangle are 150 m and 75 m respectively.

Learn more about dimensions of a rectangular area here:

brainly.com/question/16818606

4 0

2 years ago