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Alexandra [31]
2 years ago
11

The figure below hows three quadrilaterals on a coordinate grid:

Mathematics
1 answer:
Aloiza [94]2 years ago
8 0
A and C are similar but not congruent
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Write the equation in standard form using integers.
kifflom [539]

<h2><u><em>4x + 5y = -30 hope this helps</em></u></h2>

7 0
3 years ago
Find the cosine of &lt;G​
Zinaida [17]

Answer:

cos G = 3/5

Step-by-step explanation:

cos = adjacent sides/ hypotenuse

cos G = FG/ GE

cos G = 3/5

3 0
3 years ago
Question 5(Multiple Choice Worth 1 points)
Snezhnost [94]

Given:

The graph passes through the points (0,-20) and (4,10).

To find:

The equation of line that most closely represents the line depicted in the graph.

Solution:

If a line passing through two points, then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The given line passes through the points (0,-20) and (4,10). So, the equation of line is

y-(-20)=\dfrac{10-(-20)}{4-0}(x-0)

y+20=\dfrac{10+20}{4}(x)

y+20=\dfrac{30}{4}x

y+20=\dfrac{15}{2}x

Subtracting 20 from both sides, we get

y=\dfrac{15}{2}x-20

The function form is

f(x)=\dfrac{15}{2}x-20

f of x equals fifteen halves times x minus 20.

Therefore, the correct option is B.

7 0
3 years ago
Last​ year, a person wrote 123 checks. Let the random variable x represent the number of checks he wrote in one​ day, and assume
Sunny_sXe [5.5K]

Answer:The mean number of checks written per​ day = 0.3370

The standard deviation = 0.5805

The variance = 0.3370

Step-by-step explanation:

Let the random variable x represent the number of checks he wrote in one​ day.

Given : The number of checks written in last year = 123

Let the number of days in the year must be 365.

Now, the mean number of checks written per​ day will be  :-

\lambda=\dfrac{123}{365}=0.33698630137\approx0.3370

We know that in Poisson distribution , the variance is equals to the mean value .

\text{Thus , Variance }=\sigma^2= 0.3370

\Rightarrow\ \sigma=\sqrt{0.3370}=0.580517010948\approx0.5805

Thus,  Standard deviation = 0.5805

3 0
3 years ago
The height of a triangle is 3cm less than twice the base. The area is 10cm2
Kamila [148]

Answer:

The base is 4cm and the height is 5cm.

Step-by-step explanation:

This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:

H=2B-3

and

\frac{B \times H}{2}=10

Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:

\frac{B(2B-3)}{2}=10\\\frac{2B^2-3B}{2}=10\\2B^2-3B=20\\2B^2-3B-20=0\\(2B+5)(B-4)=0\\B= - \frac{5}{2},4

In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:

H=2(4)-3\\H=8-3\\H=5

3 0
3 years ago
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