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ruslelena [56]
2 years ago
12

A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite si

des have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? 1.Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. 2.Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. 3.No, there are three different values for x when each expression is set equal to 10. 4.No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Mathematics
2 answers:
SOVA2 [1]2 years ago
8 0

Answer:

  • 1. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in.

Step-by-step explanation:

<u>The opposite pairs are:</u>

1)

  • 10 in with x + 2 in
  • It makes:
  • x =+2 = 10 ⇒ x = 8 and both sides 10 in

2)

x + 5 with 2x - 3

<u>It makes:</u>

  • 2x - 3 = x + 5
  • 2x - x = 5 + 3
  • x = 8

<u>The sides are:</u>

  • 8 + 5 = 13 and
  • 2*8 - 5 = 13 in

Correct answer choice is 1)

ddd [48]2 years ago
3 0

Sides given by

  • 10
  • x+2
  • x+5
  • 2x+3

Opposite sides must be equal

Let's check once

\\ \tt\hookrightarrow x+5=2x+3\implies x=2

Find sides now

  • 10in
  • 2+2=4in
  • 2+5=7in
  • 2(2)+3=4+3=7in

One pair of opposite sides are equal but others not .

  • It's a trapezium.

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Find the slope of the line whose equation is 8y-16x=12
Mice21 [21]
The formula for slope is y=mx+b
so if you re arrange the equation from 8y-16x=12
to 8y=16x+12
the slope will be the coefficient of x =16
5 0
3 years ago
What is 6y-3X=-18 written in slope-intercept form?
Schach [20]

Answer: B

Step-by-step explanation:

6 0
3 years ago
suppose you deposit $1000 in a savings account that pays 4.8% interest compounded monthly. Write an exponential function to mode
zubka84 [21]

Answer:

The exponential function is A(t) = 1000(1.004)^{12t}.

You will have $1,100.55 in the account after 2 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.

This means that P = 1000, r = 0.048, n = 12. So

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 1000(1 + \frac{0.048}{12})^{12t}

A(t) = 1000(1 + 0.004)^{12t}

A(t) = 1000(1.004)^{12t}

This is the exponential function

How much will you have in your account after 2 years?

This is A(2). So

A(2) = 1000(1.004)^{24} = 1100.55

You will have $1,100.55 in the account after 2 years.

5 0
3 years ago
Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i
Elena-2011 [213]

Answer:

5 years

Step-by-step explanation:

In the question we are given;

  • Amount invested or principal amount as $5048
  • Rate of interest as 4% compounded 12 times per year
  • Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

A=P(1+\frac{r}{100})^n

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

6,163.59=5,048(1+\frac{0.333}{100})^n

1.221=(1+\frac{0.333}{100})^n

1.221=(1.0033)^n

introducing logarithms on both sides;

log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

                            = 5.0508

                            = 5 years

Therefore, it will take 5 years for the invested amount to accrue to $6163.59

3 0
4 years ago
Add 5/8 inch, 11/16 inch, and 27/32 inch.
noname [10]
Hi,

Work:

Equation;

\frac{5}{8} + \frac{11}{16} + \frac{27}{32}

Write all numerators above the least common denominator 32.

\frac{5 + 11 + 27}{32}

Calculate the sum of positive numbers.

\frac{69}{32}

Simplify (FRACTION RESULT)

2 \frac{5}{32}

Or (DECIMAL RESULT)

2.15625

Hope this helps.
r3t40
6 0
3 years ago
Read 2 more answers
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