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2 years ago

Use the graph. Which equation is true from the information in the graph?

Mathematics

1 answer:

Nikolay [14]2 years ago

7 0

From the graph, we see that two similar triangles are created by using the slope of the line.
• Because the two triangles appear to have congruent angles and proportional side lengths, we can conclude with the information we have that the two triangles are indeed similar. They are the same shape but proportional with congruent angles.
• Therefore, a/b = c/d because the scale factor remains the same of both ratios.
•We can also see that in larger triangle, the slope = 3/6 and the slope of the smaller one = 2/4. 3/6 = 2/4 because 3/6 = 1/2 and 2/4 = 1/2. Therefore, the slopes are proportional and equal.
• Because the slopes are proportional and the triangles are proportional, the a/b = c/d.

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What is the area of this composite shape? Enter your answer in the box. _in²

LuckyWell [14K]

The area of the composite figure is $40 in^2$

Explanation:

From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.

Area of the rectangle $(A_1)$ :

The formula is given by

$A_1=length\times width$

where $length = 5$ and $width = 5$

Substituting, we have,

$A_1=7\times 5=35 in^{2}$

Thus, the area of the rectangle = $35 i n^{2}$

Area of the triangle $(A_2)$ :

The formula is given by

$A_2=\frac{1}{2} bh$

where $b=5-3=2 i n$

and $h=12-7=5 \text { in }$

Substituting, we have,

$A_2=\frac{1}{2} (2)(5)\\A_2=5 in ^{2}$

Thus, the area of the triangle = $5in ^{2}$

Area of the composite figure = Area of the rectangle + area of the triangle

Area of the composite figure = $35 i n^{2}+5 i n^{2}=40 i n^{2}$

Thus, the area of the composite figure is $40 in^2$

3 0

2 years ago

Help meeee with this questionnnnnnnnnn!!!!!!!!!!!!

Dafna1 [17]

Given:

The scale factor between two circles is $\dfrac{2x}{5y}$ .

To find:

The ratio of their areas.

Solution:

We know that, all circles are similar.

The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.

The scale factor is the ratio of the corresponding sides.

Ratio of areas of circles = Square of scale factor between two circles

$\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2$

$\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}$

$\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}$

Therefore, the correct option is D.

3 0

3 years ago

A research organization keeps track of what citizens think is the most important problem facing the country today. They randomly

Nuetrik [128]

Answer:

Step-by-step explanation:

From the information given, the population is divided into sub groups. Each group would consist of citizens picking a particular choice as the most important problem facing the country. The choices are the different categories. In this case, the null hypothesis would state that the distribution of proportions for all categories is the same in each population. The alternative hypothesis would state that the distributions is different. Therefore, the correct test to use to determine if the distribution of "problem facing this country today" is different between the two different years is

A) Use a chi-square test of homogeneity.

8 0

3 years ago

Giving brainliest if you answer this question correct!1!1!1!1!!!

NARA [144]

Answer:

3/40

Step-by-step explanation:

3 0

3 years ago

PLEASE HELP OUT!!! im super lost.

Alex73 [517]

Just replace X with the given value.

X = -3

f(-3) = 5 - (-3)

f(-3) = 5 +3

f(-3) = 8

3 0

2 years ago