3.4 min/hr = x ft/sec

Question 1

AnnyKZ [126]

Answer:

1. x=17

2. x=19

3. x=3

4. x=4

3 0

3 years ago

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If f(x)=-2x-3 what is f(r+2) ?

fiasKO [112]

Answer:

$f(x) = - 2x - 3$

when x is r + 2 :

$f(r + 2) = - 2(r + 2) - 3 \\ = - 2r - 4 - 3 \\ = - 2r - 7 \\ \\ { \boxed{ \boxed{f(r + 2) = - 2r - 7}}}$

4 0

3 years ago

Please do this for me

Alex

Answer:

DE

Step-by-step explanation:

6 0

3 years ago

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Jim owns an ice-cream store. Use the clues to find out how many ice-cream cones he sold last week. • He sold more than 300 but f

allsm [11]

Answer:

Step-by-step explanation:

Remark

The last digit is 1 3 5 7 9 because the last digit is odd.

The first digit must be a 3 because the number is between 300 and 350

Let the first digit = x

Let the second digit = y

Let the third digit = z

x + y = z

x + y + z = 14 Substitute z for x + y

z + z = 14 Combine

2z = 14 Divide by 2

2z/2 = 14/2

z = 7

The first digit is 3 and the third digit = 7

The middle digit is 3 less than the last digit.

y = 7 - 3 = 4

Answer

347

4 0

2 years ago

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:

The statements of the question are

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

Verify each statement

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