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3 years ago

15

Which of the following matches a quadrilateral with the listed characteristics below? 1. All four sides congruent 2. Both pairs

of opposite sides parallel 3. Diagonals are perpendicular

2 answers:

Setler79 [48]3 years ago

6 0

A square

Four equal sides that have 90-degree angles

lana66690 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

If a quadrilateral has following properties.

(1) All four sides are congruent

(2) Both pairs of opposite sides are parallel

(3) Both the diagonal are equal and perpendicular

Then the given quadrilateral will be a square.

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Mingfa says, "My sister and I have $130 altogether. If my mother gives me another

quester [9]

Given:

Total amount of Mingfa and her sister = $130

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

To find:

How much money does Mingfa actually have?

Solution:

Let, Mingfa have $x and her sister has $y initially. Then,

$x+y=130$ ...(i)

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

$x+10=3y$ ...(ii)

Substitute the value of x from (ii) in (i).

$(3y-10)+y=130$

$4y=130+10$

$4y=140$

Divide both sides by 4.

$y=35$

Putting $y=35$ in (i), we get

$x+35=130$

$x=130-35$

$x=95$

Therefore, Mingfa have $95.

8 0

3 years ago

Let f(x)=x^2+6x−16.<br> Enter the x-intercepts of the quadratic function in the boxes.

Sauron [17]

$\underline{\underline{\large\bf{Given:-}}}$

$\red{\leadsto}\:$ $\textsf{}$ $\sf f(x)= x^2+6x−16$

$\underline{\underline{\large\bf{To Find:-}}}$

$\orange{\leadsto}\:$ $\textsf{ x-intercepts of the quadratic function }$ $\sf$

$\\$

$\underline{\underline{\large\bf{Solution:-}}}\\$

$\longrightarrow$ x- intercept is the point where graph of given function touches the x-axis,f(x) becomes 0 at the point where graph of given function touches the x-axis. Therefore, we would to solve x^2+6x−16=0 and find its root.

$\begin{gathered}\\\implies\quad \sf x^2+6x−16=0 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf x^2+8x-2x −16=0 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf x(x+8)-2(x+8)=0 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf (x-2)(x+8)=0\\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf x=2\quad or \quad x=-8 \\\end{gathered}$

$\leadsto$ x-intercepts of the given quadratic function are 2 and -8 .

7 0

2 years ago

Many people believe that the daily change of price of a company's stock on the stock market is a random variable with mean 0 and

Tomtit [17]

Answer:

Step-by-step explanation:

We can use normal aproximation, assuming that the random variables are a lot of that means the sample size is large.

$P(x>105) = P(z>\frac{105-100}{1})=P(z>5)$

Using the normal distribution table,

P(z>5) = 0.00005

Hence, we can conclude that the probability that the stock’s price will exceed 105 after 10 days is very small.

Hope this helps!

8 0

3 years ago

F(x) = x^2 + 8x + 15; Find f(-14/5)

mamaluj [8]

Answer:

either 449/25 or 11/25 depends on the -14/5 or

Step-by-step explanation:

$- \frac{14}{25} or \: \frac{ - 14}{25}$

if it the first one then the answer should be 449/25 but if ut the second one it should be 11/25 .

u just substitute the -14/5 to x then solve

7 0

1 year ago

Alonzo needs 5/6 of a yard of fabric to cover a chair. He plans to cover 8 chairs. What is the least amount of fabric he will ne

stepan [7]

You have to do 5/6 of 8
first 8÷6=1.3 (or remainder 3)
1.3×5=6.5
So that means Alonzo will need 6.5m at least amount of fabric.
Hope this helped! :)

6 0

3 years ago