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Licemer1 [7]
2 years ago
13

For what value of y must QRST be a parallelogram? A: 1 B: 2 C: 3 D: 0.5

Mathematics
2 answers:
Reika [66]2 years ago
8 0

Answer:

A

Step-by-step explanation:

Diagonals of a parallelogram bisect each other.

3x = 3

x = 1

y = x

y = 1

laila [671]2 years ago
5 0

In a parallelogram, the parts in which each diagonal cuts the other are congruent.

This means that we must have

\begin{cases}3=3x\\x=y\end{cases}

From the first equation we can deduce x=1, and thus y=x=1.

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In 6 years, John will be 3 times the age he was 2 years ago. What is his current age?
Vladimir79 [104]

Answer:

John is currently 6 years old.

Step-by-step explanation:

2 years ago: x years

Current time: x+2

In 6 years: x+8

EQUATION:

3(x)=x+8= 3x=x+8

(subract x from both sides)

2x=8

x=4

Therefore, John is 6 years old in current time

7 0
2 years ago
Ines has saved $5. She doubles the amount she saves each week. Does the function have a constant difference or a constant ratio?
salantis [7]

Answer:

The function have a constant ratio

No, it does not represent an exponential function.

Step-by-step explanation:

As given,

Ines has saved $5. She doubles the amount she saves each week.

⇒ In first week she saved = $5

   In second week she saved = 2×$5 = $10

   In third week she saved = 2×$10 = 20

  In fourth week she saved = 2×$20 = 40

and so on..

∴ we get the series

5, 10, 20, 40 ,.......

If the series is given as a, b, c, d, ..... , then

The common difference is defined as d = b-a = c-b

The common ration is defined as r = \frac{b}{a} = \frac{c}{b}

Here, in the given question

The series is - 5, 10, 20, 40

This has no common difference , d =   10 - 5 (= 5 )≠ 20 - 10 (= 10)

As 5 ≠ 10

So the function does not define common difference .

Now,

This has common ratio , r =  \frac{10}{5} (=2) = \frac{20}{10}(=2)

As 2 = 2

So, the function represent common ratio

Now,

The function does not represent an exponential function because it is increased by common ratio.

7 0
3 years ago
HEYYYY GUYYYSSS HELPP MEEE, ILL MARK YOU BRAINIEST. PLEEEAAASEEEE thankkyouu
VikaD [51]

Answer:

Step-by-step explanation:

A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.

A. The cost at the fitness center depends on the number of months (x).

The cost is the dependent variable, and number of months (x) is the independent variable.

f(x) = 100 + 40x

Example, the cost paid for 12 months can be determined as;

f(12) = 100 + 40(12)

       = 100 + 480

       = 580

Thus, $580 would be paid for 12 months at the fitness center.

B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.

The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.

So that;

f(x) = 1.69x

The cost of 10 pounds of lettuce can be determined as;

f(x) = 1.69(10)

     = 16.9

Thus, the cost of 10 lb of lettuce is $16.90.

6 0
2 years ago
Glenn Andrews recently bought a new motorbike for $3,950. If he had to pay 6 percent sales tax on the bike, what was the total c
Lorico [155]
FIND TAX
=$3950 * 6%
=3950 * 0.06
=$237 tax

FIND TOTAL
add tax above to bike price
=$3950 + $237
=$4187 total

ANSWER: The cost of the motorbike with tax is $4187.

Hope this helps! :)

3 0
3 years ago
HELP ME AND PLS AND THXS <br> (-1, -16)<br><br><br> (3, 0)<br><br><br> (-5, 0)<br><br><br> (0, -15)
n200080 [17]

Answer:

A. (-1, -16)

Step-by-step explanation:

8 0
2 years ago
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