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4 years ago

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PLEASE HELP ME!! Quadrilateral ABCD in the figure below represents a scaled-down model of a walkway around a historic site. Quad

rilateral EFGH represents the actual walkway. ABCD is similar to EFGH. What is the total length, in feet, of the actual walkway?

1 answer:

statuscvo [17]4 years ago

3 0

Answer:

192 Feet

Step-by-step explanation:

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If triangle CAT is similar to triangle DOG, which of the following statements is incorrect?

jeyben [28]

Answer:

1. triangle TCA ~ triangle GOD

4. If TC/GD=3/2, then m<T/m<G=3/2.

Step-by-step explanation:

<u><em>The statements of the question are</em></u>

1. triangle TCA ~ triangle GOD

2. AT: OG= AC:OD

3. If TC/GD=3/2, then AC/OD=3/2.

4. If TC/GD=3/2, then m<T/m<G=3/2.

5. If the scale factor of triangle CAT to triangle DOG is 3 to 2, then the scale factor of triangle DOG to triangle CAT is 2 to 3.

6. If AC is twice as long as AT, then OD is twice as long as OG

<u><em>Verify each statement</em></u>

1) triangle TCA ~ triangle GOD

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

triangle CAT ~ triangle DOG -----> is given

so

Reorder

Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement

triangle TCA ~ triangle GDO

therefore

The statement is not correct

2). AT: OG= AC:OD

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

triangle CAT ~ triangle DOG -----> is given

so

Applying proportion

$\frac{AT}{OG}=\frac{AC}{OD}=\frac{TC}{GD}$

The statement is true

3). If TC/GD=3/2, then AC/OD=3/2.

we have that

$\frac{AT}{OG}=\frac{AC}{OD}=\frac{TC}{GD}$ ---> see part 2)

so

$\frac{TC}{GD}=\frac{AC}{OD}$

therefore

The statement is true

4). If TC/GD=3/2, then m<T/m<G=3/2

Remember that

In two similar triangles, corresponding angles are congruent

so

$m\angle T=m\angle G$

$m\angle T/m\angle G=1$

therefore

The statement is false

5). If the scale factor of triangle CAT to triangle DOG is 3 to 2, then the scale factor of triangle DOG to triangle CAT is 2 to 3

we know that

If the scale factor of triangle CAT to triangle DOG is a/b. then the scale factor of triangle DOG to triangle CAT is b/a

The scale factor will be the reciprocal

therefore

The statement is true

6). If AC is twice as long as AT, then OD is twice as long as OG

we know that

$\frac{AT}{OG}=\frac{AC}{OD}$

Reorder

$\frac{AT}{AC}=\frac{OG}{OD}$

If AC is twice as long as AT ----> AC=2AT

If OD is twice as long as OG ----> OD=2OG

substitute

$\frac{AT}{2AT}=\frac{OG}{2OG}$

simplify

$\frac{1}{2}=\frac{1}{2}$ ----> is true

therefore

The statement is true

5 0

3 years ago

After buying a jacket that cost $47,Marilyn had $6 left in her wallet.Write and solve a subtraction equation to find the amount

ycow [4]

Answer:$53

Step-by-step explanation:

If she bought a $47 and had $6 left how much did she have before she bought the jacket?

?-$47=$6

$47+$6=$53

$53-$47=$6

7 0

3 years ago

The purpose of a Chi-Square test is to examine the relationship between an explanatory categorical variable and a response quant

sesenic [268]

Answer:

b). Examine relationships between two categorical variables

Step-by-step explanation:

The chi-square test of independence is used to determine if there is a significant relationship between 2 Categorical variables.
In the data set-up for the Chi-Square Test of Independence, at minimum, your data should include two categorical variables and each categorical variable must include at least two groups.

7 0

3 years ago

Will mark Brainlest, if you answer fast!!!

noname [10]

Answer:

-2x

Step-by-step explanation:

8 0

3 years ago

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Apple produce pays it's employees by the formula P(b)=7/2b+35, where P(b) is the employee's total daily pay and b is the number

Doss [256]

Answer:

Apple Produce pays employees 38.5 for per bushels of apples picked.

Step-by-step explanation:

Given:

Apple produce pays it's employees by the formula;

$P(b) = \frac{7}{2}b+35$

$P(b)$ ⇒ Employee's Total daily pay

$b$ ⇒ Number of bushels of apples

We need to find the Rate employees are paid per bushels of apples picked.

Rate employees are paid per bushels of apples picked can be calculated by substituting the value of "b = 1" in above formula.

Substituting the value of b = 1 in above formula we get;

$P(1) = \frac{7}{2} \times 1+35\\$

Now We will take LCM to make the Denominator common.

$P(1) = \frac{7}{2} +\frac{35\times 2}{2} = \frac{7}{2} +\frac{70}{2} = \frac{77}{2}= 38.5$

Hence Apple Produce pays employees 38.5 for per bushels of apples picked.

6 0

4 years ago