If f(x) = -3x+1, then f^-1x) =

Which criterion can be used to prove ABC and ADC are congruent?

olya-2409 [2.1K]

Triangles have common side AC, and 2 adjacent to this side corresponding angles.
∠BAC=∠DCA, and
∠ACB=∠SAD.
So, triangles <span>ABC and ADC are congruent by ASA.</span>

8 0

3 years ago

Mr.Sampson fills the family pool with water for the summer, after two hours, the water has reached the depth of 2.5 feet.After t

scoray [572]

This question is incomplete

Complete Question

Mr Sampson fills the family pool with water for the summer.After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.If the relationship between time and water depth is proportional,what is the constant of proportionality?

Answer:

1.33

Step-by-step explanation:

Time is proportional to Depth

Hence:

T ∝ D

T = kD

Where k is the constant of proportionality

After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.

Total number of hours now is 3 + 2 = 5 hours

5 = k × 3 3/4

5 = k × 3.75

k = 5/3.75

k = 1.33

8 0

3 years ago

PPPPLLLLLLSSSS I NEEED HELP

Nuetrik [128]

Answer:

x=63

Step-by-step explanation:

The two interior angles add up the the exterior angle, so 51+x+12=2x. From there, solve to get x=63. Hope this helped!

7 0

2 years ago

In a contest to guess the number of jelly beans in a jar, Alice guessed 25;Betty, 18;Clare,23;Dotty,19;Edith,24;and Fran,17. Two

vampirchik [111]

Answer:

<em>There are 21 jelly beans in the jar.</em>

Step-by-step explanation:

Suppose, the number of jelly beans in the jar is $x$

Two were off by 2, two were off by 3, two were off by 4. That means, the six guessed number will be: $(x+2), (x-2), (x+3), (x-3), (x+4), (x-4)$

Given that, Alice guessed 25; Betty, 18; Clare, 23; Dotty, 19; Edith, 24; and Fran, 17.

So, the sum of all six guessed number will be: $25+18+23+19+24+17=126$

Thus, the equation will be..........

$(x+2)+(x-2)+(x+3)+(x-3)+(x+4)+(x-4)= 126\\ \\ 6x= 126\\ \\ x=\frac{126}{6}=21$

So, the number of jelly beans in the jar is 21.

5 0

3 years ago

A garden measuring 12 meters by 6 meters is going to have a walkway constructed all around the perimeter, increasing the total a

damaskus [11]

Answer:

x=2

Step-by-step explanation:

Original width = 6

New width 6+x+x

Orignal length 12

New length 12+x+x

A = l*w

160 = ( 6+2x) ( 12+2x)

Factor

160 = 2( 3+x) 2(6+x)

Divide each side by 4

40 = (3+x) (6+x)

FOIL

40 = 18+ 6x+3x+ x^2

40 = 18 +9x+x^2

Subtract 40 from each side

0 = x^2 +9x -22

Factor

0 = (x +11) (x-2)

Using the zero product property

x +11 =0 x-2 =0

x= -11 x=2

Since we cannot have a negative sidewalk

x =2

4 0

3 years ago

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If f(x) = -3x+1, then f^-1x) =​

If f(x) = -3x+1, then f^-1x) =